Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
288 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 99. Dic94 | Q32 | semidirect |
| 145. C47 | #12358 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q16×Dic94 | 2 |
| #20245616 | 2 |
| #20245438 | 2 |
| #20242759 | 2 |
| #20241447 | 2 |
| #20241368 | 2 |
| C47×#1332 | 2 |
| #12358 | 47 |