Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic536 |
| Sylow | C67 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
2156 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30743283, #30743285, #30743289, … |
| maximal normal subgroup of | #30743283, #30743285, #30743289, … |
| maximal quotient of | C8×Dic536, #30767749, #30767823, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 6370);