Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
376 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 101 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×#67267 | C2 | semidirect |
| 2. C2×#10625019 | C2 | semidirect |
| 3. C4×C22⋊Dic23 | C2 | semidirect |
| 4. #13092176 | C2 | semidirect |
| 9. C23×C22⋊Q8 | C4 | semidirect |
| 10. C23×C22⋊Q8 | C4 | semidirect |
| 11. C23×#121 | C4 | semidirect |
| 12. C23×#121 | C4 | semidirect |
| 58. #67267 | D4 | semidirect |
| 107. C22×C23 | #104 | semidirect |
| 138. C22⋊Q8 | Dic23 | semidirect |
| 139. C22⋊Q8 | Dic23 | semidirect |
| 140. #121 | Dic23 | semidirect |
| 141. #121 | Dic23 | semidirect |
| 150. C23 | #1871 | semidirect |
| 232. C22 | #10625019 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67267 | 2 |
| C2×#10625019 | 2 |
| C4×C22⋊Dic23 | 2 |
| #13092176 | 2 |
| C23×#525 | 2 |
| #1871 | 23 |