Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
486 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 2. #20243424 | C2 | semidirect |
| 4. #20241264 | C2 | semidirect |
| 104. C23×C47 | #108 | semidirect |
| 123. C2×C4×C47 | #108 | semidirect |
| 186. C47 | #8611 | semidirect |
| 268. C23 | #13093959 | semidirect |
| 287. C2×C4 | #13093959 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×C47⋊C8 | 2 |
| #20243424 | 2 |
| #20241726 | 2 |
| #20241264 | 2 |
| C47×#1465 | 2 |
| #8611 | 47 |