Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
484 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 1. C2×#10625072 | C2 | semidirect |
| 2. #13092995 | C2 | semidirect |
| 3. #13092660 | C2 | semidirect |
| 4. #13092655 | C2 | semidirect |
| 5. #13092650 | C2 | semidirect |
| 6. C2×#10625000 | C2 | semidirect |
| 7. #13092418 | C2 | semidirect |
| 8. C2×C23×#135 | C2 | semidirect |
| 48. C2×C8×C23 | D4 | semidirect |
| 103. C2×#135 | D23 | semidirect |
| 138. C23 | #3061 | semidirect |
| 161. C2×C8 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625072 | 2 |
| #13092995 | 2 |
| #13092660 | 2 |
| #13092655 | 2 |
| #13092650 | 2 |
| C2×#10625000 | 2 |
| #13092418 | 2 |
| C2×C23×#135 | 2 |
| #3061 | 23 |