Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
380 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 3. #13092825 | C2 | semidirect |
| 4. #13092820 | C2 | semidirect |
| 5. #13092815 | C2 | semidirect |
| 6. #13092813 | C2 | semidirect |
| 9. C23×#500 | C2 | semidirect |
| 65. #67262 | Q8 | semidirect |
| 86. C8×C23 | C2×Q8 | semidirect |
| 87. C23⋊C8 | C2×Q8 | semidirect |
| 107. #500 | D23 | semidirect |
| 141. C23 | #3165 | semidirect |
| 194. C8 | Q8×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092972 | 2 |
| C4⋊Q8×D23 | 2 |
| #13092825 | 2 |
| #13092820 | 2 |
| #13092815 | 2 |
| #13092813 | 2 |
| #13092458 | 2 |
| C4×#67262 | 2 |
| C23×#500 | 2 |
| #3165 | 23 |