Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
284 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 3. #13092211 | C2 | direct (N × H) |
| 6. C22×Dic46 | C4 | semidirect |
| 13. #10625107 | C4 | semidirect |
| 15. C2×C4×Dic23 | C4 | semidirect |
| 36. C2×Dic46 | C2×C4 | semidirect |
| 46. C4×Dic23 | C2×C4 | semidirect |
| 110. C2×C23 | #354 | semidirect |
| 127. C23 | C2×#354 | semidirect |
| 213. C2 | #13092211 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625107 | 2 |
| C2×#10625016 | 2 |
| #13092211 | 2 |
| C2×C23×#99 | 2 |
| C2×#354 | 23 |