Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
372 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 372 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 |
|---|---|---|
| 4. C23×C47⋊C8 | C4 | semidirect |
| 7. C2×C22⋊(C47⋊C8) | C4 | semidirect |
| 14. C47×#343 | C4 | semidirect |
| 174. #343 | Dic47 | semidirect |
| 177. C47 | #7236 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20243681 | 2 |
| #20243376 | 2 |
| C47×#1800 | 2 |
| #7236 | 47 |