Finite Group DatabasebetaFinite Group Databasebeta| order | 576 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | Dic3×#235 |
| Sylow | C32 ⋊ C4×#41 |
658 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
108 conjugacy classes — view the full character table.
| maximal subgroup of | Dic3×#805, Dic3×#825, #11783910, … |
| maximal normal subgroup of | Dic3×#805, Dic3×#825, #11783910, … |
| maximal quotient of | Dic3×#872, Dic3×#926, C4×Dic3×#67, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(576, 6829);