Finite Group DatabasebetaFinite Group DatabasebetaOrder 22912.
298 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 19. #19153038 | C4 | semidirect |
| 57. Dic358 | C4⋊C4 | semidirect |
| 109. C179 | #1865 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic358 | 2 |
| C2×#19153045 | 2 |
| C2×#19153038 | 2 |
| #26038337 | 2 |
| #26038202 | 2 |
| #336×C179 | 2 |
| #1865 | 179 |