Wireless Connection not working

Good Day!

Im trying to install Ubuntu Mate 18.04.4 on my Thinkbook i13S (no lan port!) with a bootable usb. When i boot via the usb i do have a normal working internet connection. But when i install ubuntu Mate and reboot i no longer have internet access ("no wireless extensions"). I already tried various things like installing the driver from the usb/pool directory but it does not work.
Please treat me like a complete noob, this is my first Notebook im trying to set up with ubuntu mate.
I can provide more information like command outputs but please tell me how to copy the output as i do not have internet on the laptop and cannot post from it.
Attached is the output of the commands sudo lshw -C Network, iwconfig, and lspci executed on the installed version and the usb

From usb:

ubuntu-mate@ubuntu-mate:~$ sudo lshw -C Network
*-network
description: Wireless interface
product: Intel Corporation
vendor: Intel Corporation
physical id: 14.3
bus info: pci@0000:00:14.3
logical name: wlp0s20f3
version: 00
serial: 0c:7a:15:17:29:2e
width: 64 bits
clock: 33MHz
capabilities: pm msi pciexpress msix bus_master cap_list ethernet physical wireless
configuration: broadcast=yes driver=iwlwifi driverversion=5.3.0-28-generic firmware=48.13675109.0 ip=192.168.0.220 latency=0 link=yes multicast=yes wireless=IEEE 802.11
resources: irq:16 memory:b1218000-b121bfff

ubuntu-mate@ubuntu-mate:~$ iwconfig
lo no wireless extensions.

wlp0s20f3 IEEE 802.11 ESSID:"mySSID"
Mode:Managed Frequency:5.22 GHz Access Point: ******
Bit Rate=54 Mb/s Tx-Power=22 dBm
Retry short limit:7 RTS thr:off Fragment thr:off
Power Management:on
Link Quality=56/70 Signal level=-54 dBm
Rx invalid nwid:0 Rx invalid crypt:0 Rx invalid frag:0
Tx excessive retries:0 Invalid misc:72 Missed beacon:0

ubuntu-mate@ubuntu-mate:~$ lspci
00:00.0 Host bridge: Intel Corporation Device 9b61 (rev 0c)
00:02.0 VGA compatible controller: Intel Corporation Device 9b41 (rev 02)
00:04.0 Signal processing controller: Intel Corporation Xeon E3-1200 v5/E3-1500 v5/6th Gen Core Processor Thermal Subsystem (rev 0c)
00:12.0 Signal processing controller: Intel Corporation Device 02f9
00:14.0 USB controller: Intel Corporation Device 02ed
00:14.2 RAM memory: Intel Corporation Device 02ef
00:14.3 Network controller: Intel Corporation Device 02f0
00:15.0 Serial bus controller [0c80]: Intel Corporation Device 02e8
00:16.0 Communication controller: Intel Corporation Device 02e0
00:1d.0 PCI bridge: Intel Corporation Device 02b4 (rev f0)
00:1f.0 ISA bridge: Intel Corporation Device 0284
00:1f.3 Multimedia audio controller: Intel Corporation Device 02c8
00:1f.4 SMBus: Intel Corporation Device 02a3
00:1f.5 Serial bus controller [0c80]: Intel Corporation Device 02a4
01:00.0 Non-Volatile memory controller: Samsung Electronics Co Ltd Device a809

From notebook:

sudo lshw -C Network
*-network
description: Network controller
product: Intel Corporation
vendor: Intel Corporation
physical id: 14.3
bus info: pci@0000:00:14.3
version: 00
width: 64 bits
clock: 33MHz
capabilities: pm msi pciexpress msix bus_master cap_list
configuration: driver=iwlwifi latency=0
resources: irq:16 memory:b1218000-b121bfff

iwconfig
lo no wireless extensions.

lspci
00:00.0 Host bridge: Intel Corporation Device 9b61 (rev 0c)
00:02.0 VGA compatible controller: Intel Corporation Device 9b41 (rev 02)
00:04.0 Signal processing controller: Intel Corporation Xeon E3-1200 v5/E3-1500 v5/6th Gen Core Processor Thermal Subsystem (rev 0c)
00:12.0 Signal processing controller: Intel Corporation Device 02f9
00:14.0 USB controller: Intel Corporation Device 02ed
00:14.2 RAM memory: Intel Corporation Device 02ef
00:14.3 Network controller: Intel Corporation Device 02f0
00:15.0 Serial bus controller [0c80]: Intel Corporation Device 02e8
00:16.0 Communication controller: Intel Corporation Device 02e0
00:1d.0 PCI bridge: Intel Corporation Device 02b4 (rev f0)
00:1f.0 ISA bridge: Intel Corporation Device 0284
00:1f.3 Multimedia audio controller: Intel Corporation Device 02c8
00:1f.4 SMBus: Intel Corporation Device 02a3
00:1f.5 Serial bus controller [0c80]: Intel Corporation Device 02a4
01:00.0 Non-Volatile memory controller: Samsung Electronics Co Ltd Device a809

Greetings, Fabian