Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1072 |
| Sylow | C67 ⋊ C2×Q64 |
104 conjugacy classes of subgroups.
2150 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30743711, #30743713, #30743723, … |
| maximal normal subgroup of | #30743711, #30743713, #30743723, … |
| maximal quotient of | C2×#22558391, C2×#22558409, C4×Dic1072, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 6815);