15 groups of order 8181.
| SmallGroups | group |
|---|---|
| (8181, 1) | C81×C101 #22551132 |
| (8181, 2) | C92×C101 #22551133 |
| (8181, 3) | C32⋊C9×C101 #22551134 |
| (8181, 4) | C9⋊C9×C101 #22551135 |
| (8181, 5) | C3×C27×C101 #22551136 |
| (8181, 6) | C27⋊C3×C101 #22551137 |
| (8181, 7) | AΣL(1,𝔽27)×C101 #22551138 |
| (8181, 8) | #731×C101 #22551139 |
| (8181, 9) | #732×C101 #22551140 |
| (8181, 10) | #733×C101 #22551141 |
| (8181, 11) | C32×C9×C101 #22551142 |
| (8181, 12) | C3×H(3,𝔽3)×C101 #22551143 |
| (8181, 13) | C3×3−1+2×C101 #22551144 |
| (8181, 14) | #737×C101 #22551145 |
| (8181, 15) | C34×C101 #22551146 |