Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
476 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 128. C2×C47⋊C8 | Q16 | semidirect |
| 215. C47 | #10037 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253910 | 2 |
| #20253427 | 2 |
| #20244329 | 2 |
| #20241792 | 2 |
| #20241791 | 2 |
| #20241218 | 2 |
| C47×#3104 | 2 |
| #10037 | 47 |