Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#16863224 |
| Sylow | C67 ⋊ C2×#367 |
168 conjugacy classes of subgroups.
2156 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30743539, #30743540, #30743545, … |
| maximal normal subgroup of | #30743539, #30743540, #30743545, … |
| maximal quotient of | C2×#22558283, #30767476, #30767516, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 6290);