Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
410 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 410 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. #13092758 | C2 | semidirect |
| 3. #13092752 | C2 | semidirect |
| 4. #13092747 | C2 | semidirect |
| 5. #13092460 | C2 | semidirect |
| 6. #13092425 | C2 | semidirect |
| 29. #10624992 | C22 | semidirect |
| 30. #10624992 | C22 | semidirect |
| 31. #10624990 | C22 | semidirect |
| 32. #10624989 | C22 | semidirect |
| 149. C23 | #3095 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625095 | 2 |
| #13092758 | 2 |
| #13092752 | 2 |
| #13092747 | 2 |
| #13092460 | 2 |
| #13092425 | 2 |
| #13092381 | 2 |
| C2×C23×#117 | 2 |
| #3095 | 23 |