Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
290 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 71 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×#10625019 | C2 | semidirect |
| 2. #13092418 | C2 | semidirect |
| 3. #13092282 | C2 | semidirect |
| 4. #13092186 | C2 | semidirect |
| 36. C4×Dic23 | D4 | semidirect |
| 102. C23 | #2040 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625019 | 2 |
| #13092418 | 2 |
| #13092282 | 2 |
| #13092186 | 2 |
| C23×#537 | 2 |
| #2040 | 23 |