Finite Group DatabasebetaFinite Group Databasebeta| order | 576 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×D3×Dic3⋊C4 |
| Sylow | C32 ⋊ C22×C4⋊C4 |
882 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
108 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#4469, #11773876, D3×#4649, … |
| maximal normal subgroup of | D3×#4469, #11773876, D3×#4649, … |
| maximal quotient of | C2×D3×C3⋊#95, C4×D3×Dic3⋊C4, C2×Dic3×Dic3⋊C4, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(576, 6752);