Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
906 conjugacy classes of subgroups; only the 227 normal subgroups are shown.
This group has 906 conjugacy classes of subgroups — too many to draw. Only its 227 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 |
|---|---|---|
| 1. #20253967 | C2 | semidirect |
| 2. #20253816 | C2 | semidirect |
| 3. #20243059 | C2 | semidirect |
| 4. #20243054 | C2 | semidirect |
| 5. C2×C47×#322 | C2 | semidirect |
| 49. C2×C8×C47 | D8 | semidirect |
| 92. C2×#322 | D47 | semidirect |
| 111. C47 | #19616 | semidirect |
| 145. C2×C8 | D376 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253967 | 2 |
| #20253816 | 2 |
| #20243059 | 2 |
| #20243054 | 2 |
| C2×C47×#322 | 2 |
| #19616 | 47 |