Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
348 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 348 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 |
|---|---|---|
| 3. #13092827 | C2 | semidirect |
| 4. #13092826 | C2 | semidirect |
| 5. #13092823 | C2 | semidirect |
| 6. #13092818 | C2 | semidirect |
| 7. #13092817 | C2 | semidirect |
| 11. C23×#501 | C2 | semidirect |
| 78. #67262 | Q8 | semidirect |
| 123. #501 | D23 | semidirect |
| 164. C23 | #3166 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092972 | 2 |
| #125×D23 | 2 |
| #13092827 | 2 |
| #13092826 | 2 |
| #13092823 | 2 |
| #13092818 | 2 |
| #13092817 | 2 |
| #13092458 | 2 |
| #13092456 | 2 |
| #13092369 | 2 |
| C23×#501 | 2 |
| #3166 | 23 |