Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
260 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 12. #10625041 | C4 | semidirect |
| 13. #10625040 | C4 | semidirect |
| 14. #10625040 | C4 | semidirect |
| 41. #67267 | Q8 | semidirect |
| 101. C23 | #1986 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092974 | 2 |
| C4×#67267 | 2 |
| #13092177 | 2 |
| C4×C4⋊C4×C23 | 2 |
| #1986 | 23 |