Finite Group DatabasebetaFinite Group DatabasebetaOrder 22912.
300 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 7. C2×C4⋊Dic179 | C4 | semidirect |
| 10. C2×C4×Dic179 | C4 | semidirect |
| 65. C179 | #1820 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19153072 | 2 |
| #26038302 | 2 |
| #26038205 | 2 |
| #381×C179 | 2 |
| #1820 | 179 |