Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
296 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13092427 | C2 | semidirect |
| 4. C2×#10625006 | C2 | semidirect |
| 6. #13092372 | C2 | semidirect |
| 7. C2×C23×#108 | C2 | semidirect |
| 18. C2×#67263 | C4 | semidirect |
| 103. C2×#108 | D23 | semidirect |
| 132. C23 | #1977 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67263 | 2 |
| #13092427 | 2 |
| #13092423 | 2 |
| C2×#10625006 | 2 |
| C2×#10625005 | 2 |
| #13092372 | 2 |
| C2×C23×#108 | 2 |
| #1977 | 23 |