Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
219 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 219 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 29. C3×Dic12 | C8 | semidirect |
| 85. Dic12 | C3⋊C8 | semidirect |
| 164. C32 | #1334 | semidirect |
| 193. C3 | #67517 | semidirect |
| 194. C3 | #67764 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C4×Dic12 | 2 |
| #10589323 | 2 |
| C3×#4461 | 2 |
| #67764 | 3 |
| #67517 | 3 |