Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
322 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 163 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 |
|---|---|---|
| 3. #20241307 | C2 | semidirect |
| 4. #20241306 | C2 | semidirect |
| 5. C47×#1312 | C2 | semidirect |
| 62. C8×C47 | M32 | semidirect |
| 66. C47⋊C8 | M32 | semidirect |
| 82. #1312 | D47 | semidirect |
| 98. C47 | #11402 | semidirect |
| 147. C8 | #13093963 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#13093963 | 2 |
| C82×D47 | 2 |
| #20241307 | 2 |
| #20241306 | 2 |
| C47×#1312 | 2 |
| #11402 | 47 |