Finite Group DatabasebetaFinite Group Databasebeta| order | 576 |
| isoclinism | isoclinic class of #63745 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C3 |
| direct product | C2×#63748 |
| Sylow | C32 ⋊ C2×#108 |
133 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
36 conjugacy classes — view the full character table.
| maximal subgroup of | #11772412, #11772433, #11772503, … |
| maximal normal subgroup of | #11772412, #11772433, #11772503, … |
| maximal quotient of | C2×#10590088, C2×#10590089, #11776824, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(576, 5446);