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 |
|---|---|---|
| 4. #10622705 | C2 | semidirect |
| 5. #10622703 | C2 | semidirect |
| 6. #10622694 | C2 | semidirect |
| 64. C2×C4×C11 | Q16 | semidirect |
| 148. C11 | #3209 | semidirect |
| 160. C2×C4 | #4326 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C11×C4⋊Q8 | 2 |
| #10623001 | 2 |
| #10622841 | 2 |
| #10622705 | 2 |
| #10622703 | 2 |
| #10622694 | 2 |
| #10622538 | 2 |
| #3209 | 11 |