Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
348 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 64. Dic22 | Q16 | semidirect |
| 131. C11 | #3395 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623098 | 2 |
| C4×C11×Q16 | 2 |
| #10622794 | 2 |
| #10622644 | 2 |
| #10622486 | 2 |
| #10622406 | 2 |
| #10622312 | 2 |
| C8×Dic22 | 2 |
| #3395 | 11 |