Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
242 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 73 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. #13092474 | C2 | semidirect |
| 3. #13092153 | C2 | semidirect |
| 5. C4×C4⋊C4×C23 | C2 | semidirect |
| 14. #10625046 | C4 | semidirect |
| 15. C4×D92 | C4 | semidirect |
| 17. #10625041 | C4 | semidirect |
| 18. C4×Dic46 | C4 | semidirect |
| 95. C4×C4⋊C4 | D23 | semidirect |
| 121. C23 | #1509 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092951 | 2 |
| #13092474 | 2 |
| #13092153 | 2 |
| #13092150 | 2 |
| C4×C4⋊C4×C23 | 2 |
| #1509 | 23 |