Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
360 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 360 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 |
|---|---|---|
| 2. #13092819 | C2 | semidirect |
| 3. #13092818 | C2 | semidirect |
| 4. #13092817 | C2 | semidirect |
| 5. #13092816 | C2 | semidirect |
| 9. C23×#499 | C2 | semidirect |
| 79. #499 | D23 | direct (N × H) |
| 85. D23 | #499 | direct (N × H) |
| 105. C23 | C2×#499 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #125×D23 | 2 |
| #13092819 | 2 |
| #13092818 | 2 |
| #13092817 | 2 |
| #13092816 | 2 |
| #107×D23 | 2 |
| #106×D23 | 2 |
| C4×C8×D23 | 2 |
| C23×#499 | 2 |
| C2×#499 | 23 |