Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
338 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 17. #15688871 | C4 | semidirect |
| 18. #15688870 | C4 | semidirect |
| 161. C47 | #9579 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20244365 | 2 |
| C4×C4⋊(C47⋊C8) | 2 |
| #20242159 | 2 |
| #20242043 | 2 |
| #20241792 | 2 |
| #20241284 | 2 |
| C47×#1276 | 2 |
| #9579 | 47 |