Finite Group DatabasebetaFinite Group Databasebeta| order | 576 |
| isoclinism | isoclinic class of #3744 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23×C3 |
| direct product | C2×#63644 |
| Sylow | C32 ⋊ C2×#106 |
390 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
156 conjugacy classes — view the full character table.
| maximal subgroup of | #11772418, #11772421, #11772426, … |
| maximal normal subgroup of | #11772418, #11772421, #11772426, … |
| maximal quotient of | C2×#10589323, #11776868, #11776977, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(576, 4685);