Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
732 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 732 conjugacy classes of subgroups — too many to draw. Only its 149 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×#10625161 | C2 | semidirect |
| 2. C2×#10625079 | C2 | semidirect |
| 3. C22×#67263 | C2 | semidirect |
| 4. #13092981 | C2 | semidirect |
| 5. #13092564 | C2 | semidirect |
| 6. #13092558 | C2 | semidirect |
| 7. #13092427 | C2 | semidirect |
| 8. #13092414 | C2 | semidirect |
| 9. C23×#408 | C2 | semidirect |
| 17. C2×#67288 | C22 | semidirect |
| 20. C22×Dic46 | C22 | semidirect |
| 33. C23×C22⋊C8 | C22 | semidirect |
| 34. #10625003 | C22 | semidirect |
| 35. #10624998 | C22 | semidirect |
| 36. #10624998 | C22 | semidirect |
| 56. #67288 | D4 | semidirect |
| 69. C2×Dic46 | D4 | semidirect |
| 148. #408 | D23 | semidirect |
| 181. C22⋊C8 | C2×D23 | semidirect |
| 182. C23 | #3010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625161 | 2 |
| C2×#10625079 | 2 |
| C22×#67263 | 2 |
| #13092981 | 2 |
| #13092564 | 2 |
| #13092558 | 2 |
| #13092427 | 2 |
| #13092414 | 2 |
| C23×#408 | 2 |
| #3010 | 23 |