Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
456 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 87 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. C2×Q8×C47 | Q16 | semidirect |
| 91. C2×Dic94 | Q16 | semidirect |
| 216. C47 | #7759 | semidirect |
| 271. C2×Q8 | Dic188 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20251381 | 2 |
| #20244530 | 2 |
| #20244529 | 2 |
| #20244490 | 2 |
| #20241213 | 2 |
| C47×#1272 | 2 |
| #7759 | 47 |