Finite Group DatabasebetaFinite Group Databasebeta| order | 576 |
| isoclinism | isoclinic class of #63385 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#63386 |
| Sylow | C9 ⋊ C2×SD32 |
135 conjugacy classes of subgroups.
| transitive degree | μt(G) = 288 |
78 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#63386, #11797666, #11797724, … |
| maximal normal subgroup of | C4×#63386, #11797666, #11797724, … |
| maximal quotient of | C2×#10588239, C2×#10588169, C2×#10588167, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(576, 710);