50 groups of order 72.
| SmallGroups | group |
|---|---|
| (72, 1) | C9⋊C8 #604 |
| (72, 2) | C8×C9 #605 |
| (72, 3) | Q8⋊C9 #606 |
| (72, 4) | Dic18 #607 |
| (72, 5) | C4×D9 #608 |
| (72, 6) | D36 #609 |
| (72, 7) | C2×Dic9 #610 |
| (72, 8) | #611 |
| (72, 9) | C2×C4×C9 #612 |
| (72, 10) | D4×C9 #613 |
| (72, 11) | Q8×C9 #614 |
| (72, 12) | C3×C3⋊C8 #615 |
| (72, 13) | C3⋊(C3⋊C8) #616 |
| (72, 14) | C32×C8 #617 |
| (72, 15) | (C22⋊C9)⋊C2 #618 |
| (72, 16) | C2×C22⋊C9 #619 |
| (72, 17) | C22×D9 #620 |
| (72, 18) | C23×C9 #621 |
| (72, 19) | #622 |
| (72, 20) | D3×Dic3 #623 |
| (72, 21) | #624 |
| (72, 22) | #625 |
| (72, 23) | #626 |
| (72, 24) | #627 |
| (72, 25) | C3×SL(2,𝔽3) #628 |
| (72, 26) | C3×Dic6 #629 |
| (72, 27) | C3×C4×D3 #630 |
| (72, 28) | C3×D12 #631 |
| (72, 29) | C2×C3×Dic3 #632 |
| (72, 30) | C3×#67 #633 |
| (72, 31) | #634 |
| (72, 32) | C4×C3⋊D3 #635 |
| (72, 33) | C4⋊(C3⋊D3) #636 |
| (72, 34) | C2×C3⋊Dic3 #637 |
| (72, 35) | #638 |
| (72, 36) | C2×C32×C4 #639 |
| (72, 37) | C32×D4 #640 |
| (72, 38) | C32×Q8 #641 |
| (72, 39) | AGL(1,𝔽9) #642 |
| (72, 40) | GO+(4,𝔽2) #643 |
| (72, 41) | PSU(3,𝔽2) #644 |
| (72, 42) | C3×S4 #645 |
| (72, 43) | C3⋊S4 #646 |
| (72, 44) | D3×A4 #647 |
| (72, 45) | C2×#157 #648 |
| (72, 46) | C2×D32 #649 |
| (72, 47) | C2×C3×A4 #650 |
| (72, 48) | C22×C3×D3 #651 |
| (72, 49) | C22×C3⋊D3 #652 |
| (72, 50) | C23×C32 #653 |