Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
1088 conjugacy classes of subgroups; only the 341 normal subgroups are shown.
This group has 1088 conjugacy classes of subgroups — too many to draw. Only its 341 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. C2×#10625097 | C2 | semidirect |
| 2. #13092280 | C2 | semidirect |
| 3. #13092277 | C2 | semidirect |
| 5. C4×C22⋊Dic23 | C2 | semidirect |
| 9. C23×C4×C23 | C4 | semidirect |
| 17. C2×C4⋊Dic23 | C22 | semidirect |
| 18. C2×C4×Dic23 | C22 | semidirect |
| 19. C23⋊#95 | C22 | semidirect |
| 57. C2×C4×C23 | C22⋊C4 | semidirect |
| 73. C22×C23 | #117 | semidirect |
| 94. C23×C4 | Dic23 | semidirect |
| 105. C23 | #2280 | semidirect |
| 145. C2×C4 | C22⋊Dic23 | semidirect |
| 157. C22 | #10625097 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625097 | 2 |
| #13092280 | 2 |
| #13092277 | 2 |
| #13092273 | 2 |
| C4×C22⋊Dic23 | 2 |
| C24×C4×C23 | 2 |
| #2280 | 23 |