Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
362 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 103 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. C2×#10625000 | C2 | semidirect |
| 5. #13092315 | C2 | semidirect |
| 6. #13092180 | C2 | semidirect |
| 7. C23×#336 | C2 | semidirect |
| 22. #10625003 | C4 | semidirect |
| 45. C2×C8×C23 | C2×C4 | semidirect |
| 53. C4⋊Dic23 | C2×C4 | semidirect |
| 88. D92 | C4⋊C4 | semidirect |
| 122. #336 | D23 | semidirect |
| 147. C23 | #1862 | semidirect |
| 169. C2×C8 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D92 | 2 |
| C2×#10625000 | 2 |
| C2×#10625003 | 2 |
| #13092315 | 2 |
| #13092180 | 2 |
| C23×#336 | 2 |
| #1862 | 23 |