Finite Group DatabasebetaFinite Group DatabasebetaOrder 22912.
234 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 59 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. #26038842 | C2 | semidirect |
| 3. #26038646 | C2 | semidirect |
| 4. #26038184 | C2 | semidirect |
| 5. #26038169 | C2 | semidirect |
| 65. D4×C179 | Q16 | semidirect |
| 92. C179 | #1649 | semidirect |
| 152. D4 | #15668249 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×Dic358 | 2 |
| #26038842 | 2 |
| #26038646 | 2 |
| #26038184 | 2 |
| #26038169 | 2 |
| D4⋊(C179⋊C8) | 2 |
| #474×C179 | 2 |
| #1649 | 179 |