42 groups of order 496.
| SmallGroups | group |
|---|---|
| (496, 1) | C31⋊C16 #92466 |
| (496, 2) | C16×C31 #92467 |
| (496, 3) | C8×D31 #92468 |
| (496, 4) | #92469 |
| (496, 5) | #92470 |
| (496, 6) | D248 #92471 |
| (496, 7) | Dic124 #92472 |
| (496, 8) | C2×C31⋊C8 #92473 |
| (496, 9) | #92474 |
| (496, 10) | C4×Dic31 #92475 |
| (496, 11) | Dic31⋊C4 #92476 |
| (496, 12) | C4⋊Dic31 #92477 |
| (496, 13) | (C2×D31)⋊C4 #92478 |
| (496, 14) | #92479 |
| (496, 15) | #92480 |
| (496, 16) | #92481 |
| (496, 17) | #92482 |
| (496, 18) | C22⋊Dic31 #92483 |
| (496, 19) | C42×C31 #92484 |
| (496, 20) | C22⋊C4×C31 #92485 |
| (496, 21) | C4⋊C4×C31 #92486 |
| (496, 22) | C2×C8×C31 #92487 |
| (496, 23) | M16×C31 #92488 |
| (496, 24) | D8×C31 #92489 |
| (496, 25) | SD16×C31 #92490 |
| (496, 26) | Q16×C31 #92491 |
| (496, 27) | C2×Dic62 #92492 |
| (496, 28) | C2×C4×D31 #92493 |
| (496, 29) | C2×D124 #92494 |
| (496, 30) | #92495 |
| (496, 31) | D4×D31 #92496 |
| (496, 32) | #92497 |
| (496, 33) | Q8×D31 #92498 |
| (496, 34) | #92499 |
| (496, 35) | C22×Dic31 #92500 |
| (496, 36) | C2×C22⋊D31 #92501 |
| (496, 37) | C22×C4×C31 #92502 |
| (496, 38) | C2×D4×C31 #92503 |
| (496, 39) | C2×Q8×C31 #92504 |
| (496, 40) | #41×C31 #92505 |
| (496, 41) | C23×D31 #92506 |
| (496, 42) | C24×C31 #92507 |