Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
116 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 116 conjugacy classes of subgroups — too many to draw. Only its 39 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 |
|---|---|---|
| 7. C2×Dic92 | C4 | semidirect |
| 8. #10625000 | C4 | semidirect |
| 65. C23 | #1348 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092658 | 2 |
| C22⋊(C23⋊C16) | 2 |
| C23×#340 | 2 |
| #1348 | 23 |