Finite Group DatabasebetaFinite Group DatabasebetaOrder 22912.
288 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 52. C2×C4×C179 | Q16 | semidirect |
| 76. C179 | #2056 | semidirect |
| 129. C2×C4 | Dic716 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic716 | 2 |
| C2×#19153038 | 2 |
| #26038345 | 2 |
| #26038202 | 2 |
| C2×C4⋊C8×C179 | 2 |
| #2056 | 179 |