Finite Group DatabasebetaFinite Group Databasebeta| order | 576 |
| isoclinism | isoclinic class of Dic36 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#63377 |
| Sylow | C9 ⋊ C2×#106 |
195 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
156 conjugacy classes — view the full character table.
| maximal subgroup of | #11772417, #11772420, #11772463, … |
| maximal normal subgroup of | #11772417, #11772420, #11772463, … |
| maximal quotient of | C2×#10588134, #11776867, #11776976, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(576, 667);