Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
408 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 93 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. C2×#15688931 | C2 | semidirect |
| 3. #20245098 | C2 | semidirect |
| 4. C2×#15688906 | C2 | semidirect |
| 5. #20243453 | C2 | semidirect |
| 6. #20241496 | C2 | semidirect |
| 7. C2×C47×#366 | C2 | semidirect |
| 63. C2×C16×C47 | D4 | semidirect |
| 178. C2×#366 | D47 | semidirect |
| 210. C47 | #13384 | semidirect |
| 241. C2×C16 | D188 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253060 | 2 |
| C2×#15688931 | 2 |
| #20245098 | 2 |
| C2×#15688906 | 2 |
| #20243453 | 2 |
| #20241496 | 2 |
| C2×C47×#366 | 2 |
| #13384 | 47 |