Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#66923 | C2 | semidirect |
| 3. C11×#423 | C2 | semidirect |
| 5. #10622734 | C2 | semidirect |
| 6. #10622460 | C2 | semidirect |
| 7. #10622442 | C2 | semidirect |
| 79. #423 | D11 | semidirect |
| 142. C11 | #3080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#4339 | 2 |
| C2×#66923 | 2 |
| C11×#423 | 2 |
| #10622746 | 2 |
| #10622734 | 2 |
| #10622460 | 2 |
| #10622442 | 2 |
| #3080 | 11 |