Finite Group DatabasebetaFinite Group Databasebeta| order | 576 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C8 · Schur multiplier (H2) = C2 |
| direct product | C3×#4461 |
| Sylow | C32 ⋊ #346 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
216 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#67511, C3×#67442, C3×#67512, … |
| maximal normal subgroup of | C3×#67511, C3×#67442, C3×#67512, … |
| maximal quotient of | C3×#67437, C3×#67438, C3×#67657, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(576, 1087);