Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
402 conjugacy classes of subgroups; only the 183 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 183 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 |
|---|---|---|
| 2. Q8×C23⋊C8 | C2 | semidirect |
| 3. #13092496 | C2 | semidirect |
| 4. #13092494 | C2 | semidirect |
| 5. #13092473 | C2 | semidirect |
| 6. C4×#67262 | C2 | semidirect |
| 7. C8×Q8×C23 | C2 | semidirect |
| 44. Q8×C23 | M16 | semidirect |
| 57. C8×C23 | #41 | semidirect |
| 59. C23⋊C8 | #41 | semidirect |
| 74. C8×Q8 | D23 | semidirect |
| 99. C23 | #2971 | semidirect |
| 120. Q8 | #67262 | semidirect |
| 135. C8 | #67292 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#67292 | 2 |
| Q8×C23⋊C8 | 2 |
| #13092496 | 2 |
| #13092494 | 2 |
| #13092473 | 2 |
| C4×#67262 | 2 |
| C8×Q8×C23 | 2 |
| #2971 | 23 |