Finite Group DatabasebetaFinite Group DatabasebetaOrder 22912.
154 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 154 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 |
|---|---|---|
| 1. #26038790 | C2 | semidirect |
| 4. #26038190 | C2 | semidirect |
| 5. #26038187 | C2 | semidirect |
| 6. #26038186 | C2 | semidirect |
| 75. C179 | #1703 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #26038790 | 2 |
| #26038729 | 2 |
| #26038719 | 2 |
| #26038190 | 2 |
| #26038187 | 2 |
| #26038186 | 2 |
| #436×C179 | 2 |
| #1703 | 179 |