Finite Group DatabasebetaFinite Group Databasebeta| order | 576 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C22×C4 |
| direct product | C3×#4935 |
| Sylow | C32 ⋊ #384 |
426 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
180 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#67702, #11771084, C3×#71604, … |
| maximal normal subgroup of | C3×#67702, #11771084, C3×#71604, … |
| maximal quotient of | C3×#71535, C3×#69419, C3×#69394, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(576, 3914);