Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
414 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 113 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×#15688946 | C2 | semidirect |
| 3. C2×#15688945 | C2 | semidirect |
| 6. #20241488 | C2 | semidirect |
| 7. C47×#1383 | C2 | semidirect |
| 19. (C2×D47)⋊C16 | C4 | semidirect |
| 146. #1383 | D47 | semidirect |
| 168. C47 | #12930 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689158 | 2 |
| C2×#15688946 | 2 |
| C2×#15688945 | 2 |
| #20244998 | 2 |
| #20243423 | 2 |
| #20241488 | 2 |
| C47×#1383 | 2 |
| #12930 | 47 |