Finite Group DatabasebetaFinite Group DatabasebetaOrder 22912.
180 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 97 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. #26038191 | C2 | semidirect |
| 4. #26038189 | C2 | semidirect |
| 19. #15668243 | C8 | semidirect |
| 36. C179⋊C8 | C2×C8 | semidirect |
| 66. C179 | #1565 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #26038492 | 2 |
| C4×#15668243 | 2 |
| #26038191 | 2 |
| #26038189 | 2 |
| C2×C4⋊C8×C179 | 2 |
| #1565 | 179 |