Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | #344×D67 |
| Fitting | #344×C67 ⋊ C2 |
| Sylow | C67 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
770 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#344×D67, #30853286, #1757×D67, … |
| maximal normal subgroup of | C2×#344×D67, #30853286, #1757×D67, … |
| maximal quotient of | #1281×D67, #30745460, #30745463, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 4250);