Finite Group DatabasebetaFinite Group DatabasebetaOrder 34688.
272 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 97 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 81. C4×C271 | #101 | semidirect |
| 93. C271 | #1801 | semidirect |
| 177. C4 | #22576078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic542 | 2 |
| #31773921 | 2 |
| C2×#22576078 | 2 |
| #31773665 | 2 |
| #423×C271 | 2 |
| #1801 | 271 |