Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
166 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 1. #13092548 | C2 | semidirect |
| 4. #13092167 | C2 | semidirect |
| 6. C8×C23⋊C8 | C2 | semidirect |
| 7. C23×Q8⋊C8 | C2 | semidirect |
| 59. C23⋊C8 | M16 | semidirect |
| 60. C23⋊C8 | SD16 | semidirect |
| 78. Q8⋊C8 | D23 | semidirect |
| 100. C23 | #1590 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092548 | 2 |
| C4×#67274 | 2 |
| #13092494 | 2 |
| #13092167 | 2 |
| #13092146 | 2 |
| C8×C23⋊C8 | 2 |
| C23×Q8⋊C8 | 2 |
| #1590 | 23 |