Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
198 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 61 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. C2×#66872 | C2 | semidirect |
| 5. C11×#343 | C2 | semidirect |
| 6. #10622196 | C2 | semidirect |
| 7. #10622192 | C2 | semidirect |
| 79. #343 | D11 | semidirect |
| 142. C11 | #2079 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10622746 | 2 |
| #10622742 | 2 |
| #10622579 | 2 |
| C2×#66872 | 2 |
| C11×#343 | 2 |
| #10622196 | 2 |
| #10622192 | 2 |
| #2079 | 11 |