Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
432 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 107 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. C22×C8×D23 | C2 | semidirect |
| 3. C2×#10625014 | C2 | semidirect |
| 4. #13092274 | C2 | semidirect |
| 5. #13092180 | C2 | semidirect |
| 6. #13092179 | C2 | semidirect |
| 7. C2×C23×#102 | C2 | semidirect |
| 15. #10625109 | C4 | semidirect |
| 50. C2×C8×C23 | D4 | semidirect |
| 61. C2×C23⋊C8 | D4 | semidirect |
| 128. C2×D23 | #102 | semidirect |
| 140. C2×#102 | D23 | semidirect |
| 171. C23 | #1893 | semidirect |
| 200. C2×C8 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C8×D23 | 2 |
| C2×#10625109 | 2 |
| C2×#10625014 | 2 |
| #13092274 | 2 |
| #13092180 | 2 |
| #13092179 | 2 |
| C2×C23×#102 | 2 |
| #1893 | 23 |