Finite Group DatabasebetaFinite Group DatabasebetaOrder 22912.
260 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 79 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. #26038467 | C2 | semidirect |
| 3. #26038466 | C2 | semidirect |
| 6. #26038211 | C2 | semidirect |
| 7. #344×C179 | C2 | semidirect |
| 92. C179 | #1868 | semidirect |
| 100. #344 | D179 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #26039205 | 2 |
| #26038467 | 2 |
| #26038466 | 2 |
| #26038412 | 2 |
| #26038407 | 2 |
| #26038211 | 2 |
| #344×C179 | 2 |
| #1868 | 179 |