Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
360 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 99 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. C2×#10624998 | C2 | semidirect |
| 4. C2×#10624992 | C2 | semidirect |
| 6. #13092179 | C2 | semidirect |
| 7. C23×#340 | C2 | semidirect |
| 22. #10625068 | C4 | semidirect |
| 130. #340 | D23 | semidirect |
| 157. C23 | #1894 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67262 | 2 |
| C2×#10625068 | 2 |
| C2×#10624998 | 2 |
| C2×#10624992 | 2 |
| #13092274 | 2 |
| #13092179 | 2 |
| C23×#340 | 2 |
| #1894 | 23 |