Finite Group DatabasebetaFinite Group DatabasebetaOrder 22912.
254 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 254 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 21. #103×C179 | C4 | semidirect |
| 105. C179 | #1928 | semidirect |
| 124. #103 | Dic179 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19153047 | 2 |
| C2×#19153037 | 2 |
| #26038346 | 2 |
| C4⋊C4×Dic179 | 2 |
| #26038201 | 2 |
| #26038193 | 2 |
| C2×#103×C179 | 2 |
| #1928 | 179 |