Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#16864211 |
| Fitting | C2×2−1+4×C67 ⋊ C2 |
| Sylow | C67 ⋊ C2×#578 |
1408 conjugacy classes of subgroups.
1166 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30871749, #30871752, #30871776, … |
| maximal normal subgroup of | #30871749, #30871752, #30871776, … |
| maximal quotient of | C2×#22568739, C2×#22568742, C2×#22568807, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 19275);