Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
364 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 198. C47 | #10373 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20246696 | 2 |
| #20244370 | 2 |
| #20241887 | 2 |
| #20241291 | 2 |
| #20241290 | 2 |
| #20241216 | 2 |
| C47×#1503 | 2 |
| #10373 | 47 |