The SE/30 and IIsi have a 120 pin (40 pins X 3 rows) PDS connector. The SE used the 96 pin (32 pins X 3 rows) connector. So what you have there is either an SE PDS slot card or one truly bizarre NuBus card (why would you ever lay a NuBus card on its side?). Hmmmm, I think the LC PDS slot also used the 96 pin connector, but then the backplane connectors would be on the main card and not on a cabled daughter card.
BTW, the card you displayed next to it is an E-Machines Futura IISX, which you may have already known. The daughter cards available for it were a DSP card (to speed Photoshop type stuff) and an Ethernet card. They could not be used simultaneously. The ethernet daughter board has a bug in its driver which is incompatible with Open Transport and only works with Classic Networking. So I find it less than totally enchanting. I wish I knew enough programming to disassemble it and correct the bug...