Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
380 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 125 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. #13092784 | C2 | semidirect |
| 4. #13092769 | C2 | semidirect |
| 5. #13092768 | C2 | semidirect |
| 6. #13092767 | C2 | semidirect |
| 9. C23×#487 | C2 | semidirect |
| 109. #487 | D23 | semidirect |
| 141. C23 | #3139 | 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 |
| #13092784 | 2 |
| #13092769 | 2 |
| #13092768 | 2 |
| #13092767 | 2 |
| #13092424 | 2 |
| C4×#67262 | 2 |
| C23×#487 | 2 |
| #3139 | 23 |