Finite Group DatabasebetaFinite Group Databasebeta| order | 576 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×C3×#815 |
| Sylow | C32 ⋊ C2×#97 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
216 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#67811, #11772282, C3×#67812, … |
| maximal normal subgroup of | C3×#67811, #11772282, C3×#67812, … |
| maximal quotient of | C2×C3×#4455, C2×C3×#4454, C3×#69725, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(576, 4079);