Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
264 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 264 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 |
|---|---|---|
| 8. C22⋊(C23⋊C8) | C4 | semidirect |
| 15. C22×C4×C23 | C8 | semidirect |
| 78. C23 | #1280 | semidirect |
| 85. C22×C4 | C23⋊C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C22⋊(C23⋊C8) | 2 |
| C2×C23×#95 | 2 |
| #1280 | 23 |