Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
228 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 59 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. Q8×Dic46 | C2 | semidirect |
| 5. #13092165 | C2 | semidirect |
| 6. #13092149 | C2 | semidirect |
| 7. C23×Q8⋊C8 | C2 | semidirect |
| 52. Q8×C23 | SD16 | semidirect |
| 69. Dic46 | SD16 | semidirect |
| 94. Q8⋊C8 | D23 | semidirect |
| 116. C23 | #1623 | semidirect |
| 148. Q8 | #67263 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic46 | 2 |
| #13092790 | 2 |
| #13092618 | 2 |
| #13092617 | 2 |
| #13092165 | 2 |
| #13092149 | 2 |
| C23×Q8⋊C8 | 2 |
| #1623 | 23 |