Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
145 conjugacy classes of subgroups; only the 30 normal subgroups are shown.
This group has 145 conjugacy classes of subgroups — too many to draw. Only its 30 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. C22×#6861 | C2 | semidirect |
| 2. C2×#92165 | C2 | semidirect |
| 3. #11757288 | C2 | semidirect |
| 16. #6861 | D4 | semidirect |
| 130. C22 | #92165 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6861 | 2 |
| C2×#92165 | 2 |
| #11757288 | 2 |
| #10619675 | 3 |
| #638⋊C9 | 3 |