Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
342 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 79 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. #13093183 | C2 | semidirect |
| 3. #13092399 | C2 | semidirect |
| 4. #13092381 | C2 | semidirect |
| 5. #13092189 | C2 | semidirect |
| 6. #13092188 | C2 | semidirect |
| 7. C23×#407 | C2 | semidirect |
| 50. C2×C8×C23 | D4 | semidirect |
| 62. C2×C23⋊C8 | D4 | semidirect |
| 124. #407 | D23 | semidirect |
| 152. C23 | #1891 | semidirect |
| 184. C2×C8 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093183 | 2 |
| #13092928 | 2 |
| #13092399 | 2 |
| #13092381 | 2 |
| #13092189 | 2 |
| #13092188 | 2 |
| C23×#407 | 2 |
| #1891 | 23 |