Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | #339×D67 |
| Fitting | #339×C67 ⋊ C2 |
| Sylow | C67 ⋊ C2×#339 |
488 conjugacy classes of subgroups.
980 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#339×D67, #1733×D67, #30853220, … |
| maximal normal subgroup of | C2×#339×D67, #1733×D67, #30853220, … |
| maximal quotient of | #1276×D67, #30745271, #30745277, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 4214);