Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C82 · Schur multiplier (H2) = C22×C4 |
| direct product | C3×C3⋊#1273 |
| unambiguous semidirect product | C3⋊(C3×#1273) |
| Sylow | C32 ⋊ #1273 |
505 conjugacy classes of subgroups.
| transitive degree | μt(G) = 384 |
432 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 4709);