Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#137×D67 |
| Fitting | C2×#137×C67 ⋊ C2 |
| Sylow | C67 ⋊ C22×#137 |
1464 conjugacy classes of subgroups.
770 conjugacy classes — view the full character table.
| maximal subgroup of | #1882×D67, #30857351, #1902×D67, … |
| maximal normal subgroup of | #1882×D67, #30857351, #1902×D67, … |
| maximal quotient of | C2×#419×D67, C2×#417×D67, C2×#428×D67, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 19246);