Finite Group DatabasebetaFinite Group DatabasebetaOrder 22912.
172 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 53 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. #26038725 | C2 | semidirect |
| 4. #26038563 | C2 | semidirect |
| 5. #26038189 | C2 | semidirect |
| 6. #26038186 | C2 | semidirect |
| 45. Dic358 | SD16 | semidirect |
| 51. C179⋊C8 | SD16 | semidirect |
| 79. C179 | #1666 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #26038811 | 2 |
| #26038725 | 2 |
| #26038636 | 2 |
| #26038563 | 2 |
| #26038189 | 2 |
| #26038186 | 2 |
| #331×C179 | 2 |
| #1666 | 179 |