Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
492 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 109 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. #20246136 | C2 | semidirect |
| 4. #20242068 | C2 | semidirect |
| 6. #20241247 | C2 | semidirect |
| 7. C47×#1274 | C2 | semidirect |
| 10. #15689496 | C4 | semidirect |
| 11. #15689474 | C4 | semidirect |
| 92. C42×C47 | SD16 | semidirect |
| 183. #1274 | D47 | semidirect |
| 209. C47 | #9301 | semidirect |
| 291. C42 | #10625325 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254315 | 2 |
| #20246136 | 2 |
| #20244220 | 2 |
| #20242068 | 2 |
| #20241949 | 2 |
| #20241247 | 2 |
| C47×#1274 | 2 |
| #9301 | 47 |