Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
532 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 153 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 |
|---|---|---|
| 15. #15688865 | C4 | semidirect |
| 18. C47×#330 | C4 | semidirect |
| 108. Dic47 | #330 | direct (N × H) |
| 131. #330 | Dic47 | direct (N × H) |
| 132. C47 | C4×#330 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #125×Dic47 | 2 |
| #97×Dic47 | 2 |
| C2×#15688865 | 2 |
| #20241270 | 2 |
| C2×C47×#330 | 2 |
| C4×#330 | 47 |