Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
408 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 97 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. #20242160 | C2 | semidirect |
| 3. #20242074 | C2 | semidirect |
| 4. #20242070 | C2 | semidirect |
| 6. #20241283 | C2 | semidirect |
| 186. C47 | #10448 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689403 | 2 |
| #20242160 | 2 |
| #20242074 | 2 |
| #20242070 | 2 |
| #20241779 | 2 |
| #20241283 | 2 |
| C47×#1800 | 2 |
| #10448 | 47 |