Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
272 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 4. C11×#344 | C2 | semidirect |
| 5. #10622197 | C2 | semidirect |
| 6. #10622194 | C2 | semidirect |
| 7. #10622171 | C2 | semidirect |
| 77. #344 | D11 | semidirect |
| 137. C11 | #1829 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623052 | 2 |
| C2×#66887 | 2 |
| C11×#344 | 2 |
| #10622197 | 2 |
| #10622194 | 2 |
| #10622171 | 2 |
| #1829 | 11 |