Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
568 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 161 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×C4×Dic46 | C2 | semidirect |
| 2. #13092355 | C2 | semidirect |
| 3. #13092342 | C2 | semidirect |
| 5. #13092329 | C2 | semidirect |
| 6. C4×C22⋊Dic23 | C2 | semidirect |
| 7. #13092263 | C2 | semidirect |
| 123. C23 | #2398 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic46 | 2 |
| #13092355 | 2 |
| #13092342 | 2 |
| #13092331 | 2 |
| #13092329 | 2 |
| C4×C22⋊Dic23 | 2 |
| #13092263 | 2 |
| C2×C4×D4×C23 | 2 |
| #2398 | 23 |