Finite Group DatabasebetaFinite Group DatabasebetaOrder 22912.
360 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 360 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 |
|---|---|---|
| 2. #26038447 | C2 | semidirect |
| 4. #26038198 | C2 | semidirect |
| 9. #19153100 | C4 | semidirect |
| 21. C2×Dic358 | C2×C4 | semidirect |
| 29. C4×Dic179 | C2×C4 | semidirect |
| 80. C179 | #1885 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19153100 | 2 |
| #26038447 | 2 |
| C2×#19153030 | 2 |
| #26038198 | 2 |
| #518×C179 | 2 |
| #1885 | 179 |