Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
326 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 107 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×#15688957 | C2 | semidirect |
| 3. #20241577 | C2 | direct (N × H) |
| 4. C2×C47×#368 | C2 | semidirect |
| 13. #15688957 | C22 | semidirect |
| 18. C47×#368 | C22 | semidirect |
| 101. C2×#368 | D47 | semidirect |
| 105. C2×C47 | #1419 | semidirect |
| 121. #368 | C2×D47 | semidirect |
| 122. C47 | C2×#1419 | semidirect |
| 205. C2 | #20241577 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D752 | 2 |
| C2×#15688957 | 2 |
| #20241577 | 2 |
| C2×C47×#368 | 2 |
| C2×#1419 | 47 |