Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
260 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 75 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. #20245617 | C2 | semidirect |
| 2. #20245616 | C2 | semidirect |
| 4. #20242997 | C2 | semidirect |
| 6. C16×C47⋊C8 | C2 | semidirect |
| 124. C47 | #12511 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245617 | 2 |
| #20245616 | 2 |
| #20245611 | 2 |
| #20242997 | 2 |
| #20242993 | 2 |
| C16×C47⋊C8 | 2 |
| C47×#2240 | 2 |
| #12511 | 47 |