Finite Group DatabasebetaFinite Group Databasebeta| order | 576 |
| isoclinism | isoclinic class of #63385 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#63388 |
| Sylow | C9 ⋊ C2×Q32 |
123 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
78 conjugacy classes — view the full character table.
| maximal subgroup of | #11797693, C4×#63388, #11797769, … |
| maximal normal subgroup of | #11797693, C4×#63388, #11797769, … |
| maximal quotient of | C2×#10588169, C2×#10588241, C2×#10588166, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(576, 742);