Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#14523979 |
| Sylow | C67 ⋊ C4×#108 |
228 conjugacy classes of subgroups.
2168 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30742748, #30742749, #30742751, … |
| maximal normal subgroup of | #30742748, #30742749, #30742751, … |
| maximal quotient of | C4×#16863147, C4×#16863149, #30747020, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 4412);