Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
134 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 134 conjugacy classes of subgroups — too many to draw. Only its 45 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. #13092241 | C2 | semidirect |
| 3. #13092229 | C2 | semidirect |
| 4. #13092199 | C2 | semidirect |
| 5. C23×#430 | C2 | semidirect |
| 53. #430 | D23 | semidirect |
| 70. C23 | #2238 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092670 | 2 |
| #13092241 | 2 |
| #13092229 | 2 |
| #13092199 | 2 |
| C23×#430 | 2 |
| #2238 | 23 |