Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
340 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 137 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. #13092825 | C2 | semidirect |
| 3. #13092823 | C2 | semidirect |
| 4. #13092821 | C2 | semidirect |
| 5. #13092819 | C2 | semidirect |
| 6. #13092818 | C2 | semidirect |
| 11. C23×#500 | C2 | semidirect |
| 66. #67262 | Q8 | semidirect |
| 67. C8×D23 | Q8 | semidirect |
| 108. #500 | D23 | semidirect |
| 146. C23 | #3164 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093044 | 2 |
| #13092825 | 2 |
| #13092823 | 2 |
| #13092821 | 2 |
| #13092819 | 2 |
| #13092818 | 2 |
| #13092458 | 2 |
| #13092454 | 2 |
| #107×D23 | 2 |
| #13092371 | 2 |
| C23×#500 | 2 |
| #3164 | 23 |