Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
182 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 69 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. #13092496 | C2 | semidirect |
| 3. #13092169 | C2 | semidirect |
| 4. D4⋊(C23⋊C8) | C2 | semidirect |
| 5. #13092144 | C2 | semidirect |
| 6. #13092138 | C2 | semidirect |
| 7. C8×D4×C23 | C2 | semidirect |
| 45. D4×C23 | M16 | semidirect |
| 59. C8×C23 | D8 | semidirect |
| 81. C8×D4 | D23 | semidirect |
| 106. C23 | #1581 | semidirect |
| 131. D4 | #67262 | semidirect |
| 147. C8 | #67272 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#67272 | 2 |
| #13092496 | 2 |
| #13092169 | 2 |
| D4⋊(C23⋊C8) | 2 |
| #13092144 | 2 |
| #13092138 | 2 |
| C8×D4×C23 | 2 |
| #1581 | 23 |