Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
236 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 236 conjugacy classes of subgroups — too many to draw. Only its 57 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. #13093124 | C2 | semidirect |
| 2. #13092790 | C2 | semidirect |
| 3. #13092618 | C2 | semidirect |
| 5. #13092165 | C2 | semidirect |
| 6. #13092149 | C2 | semidirect |
| 7. C23×D4⋊C8 | C2 | semidirect |
| 53. D4×C23 | SD16 | semidirect |
| 98. D4⋊C8 | D23 | semidirect |
| 121. C23 | #1622 | semidirect |
| 158. D4 | #67263 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093124 | 2 |
| #13092790 | 2 |
| #13092618 | 2 |
| #13092612 | 2 |
| #13092165 | 2 |
| #13092149 | 2 |
| C23×D4⋊C8 | 2 |
| #1622 | 23 |