Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
670 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 670 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 |
|---|---|---|
| 1. C2×#15689503 | C2 | semidirect |
| 3. #20244349 | C2 | semidirect |
| 5. C47×#1273 | C2 | semidirect |
| 124. #1273 | D47 | semidirect |
| 143. C47 | #10306 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689503 | 2 |
| C2×#15689470 | 2 |
| #20244349 | 2 |
| #20244194 | 2 |
| C47×#1273 | 2 |
| #10306 | 47 |