Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
60 conjugacy classes of subgroups.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #15692166 | C2 | 1 | 2 | yes | maximal |
| 2 | #125×C101 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C2×#11717579 | — | 2 | 2 | no | — |
| 4 | C4⋊C4×C101 | — | 2 | 2 | no | — |
| 5 | C4⋊C4×C101 | C4 | 1 | 2 | yes | — |
| 6 | C42×C101 | C22 | 1 | 1 | yes | characteristic |
| 7 | C2×C4×C101 | — | 2 | 2 | no | — |
| 8 | C2×C4×C101 | C2×C4 | 1 | 1 | yes | characteristic |
| 9 | C2×C4×C101 | D4 | 1 | 2 | yes | — |
| 10 | #11717579 | — | 2 | 4 | no | — |
| 11 | C22×C101 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 12 | C4×C101 | — | 2 | 1 | no | — |
| 13 | C4×C101 | — | 2 | 2 | no | — |
| 14 | C4×C101 | — | 4 | 2 | no | — |
| 15 | C2×C101 | #101 | 1 | 1 | yes | characteristic |
| 16 | C2×C101 | #104 | 1 | 2 | yes | — |
| 17 | C101 | #330 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 18 | #330 | — | 101 | 1 | no | maximal, Sylow |
| 19 | #125 | D101 | 1 | 1 | yes | characteristic |
| 20 | #97 | — | 101 | 2 | no | — |
| 21 | C2×C8 | — | 202 | 2 | no | — |
| 22 | C4⋊C4 | — | 2 | 2 | no | — |
| 23 | C4⋊C4 | Dic101 | 1 | 2 | yes | — |
| 24 | C42 | C2×D101 | 1 | 1 | yes | characteristic |
| 25 | C2×C4 | — | 2 | 2 | no | — |
| 26 | C2×C4 | C2×Dic101 | 1 | 1 | yes | characteristic |
| 27 | C2×C4 | C22⋊D101 | 1 | 2 | yes | — |
| 28 | C8 | — | 202 | 4 | no | — |
| 29 | C22 | C22⋊Dic101 | 1 | 1 | yes | characteristic |
| 30 | C4 | — | 2 | 1 | no | — |
| 31 | C4 | — | 2 | 2 | no | — |
| 32 | C4 | — | 4 | 2 | no | — |
| 33 | C2 | #15692174 | 1 | 1 | yes | characteristic |
| 34 | C2 | #15692182 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 17. C101 | #330 | semidirect |