Finite Group DatabasebetaFinite Group Databasebeta| order | 576 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#63878 |
| Sylow | C32 ⋊ C2×#117 |
714 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
96 conjugacy classes — view the full character table.
| maximal subgroup of | #11773763, #11773901, #11800772, … |
| maximal normal subgroup of | #11773763, #11773901, #11800772, … |
| maximal quotient of | C2×#10591252, C2×#10591368, C2×#10591241, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(576, 6754);