Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#137×D71 |
| Fitting | C2×#137×C71 ⋊ C2 |
| Sylow | C71 ⋊ C22×#137 |
1464 conjugacy classes of subgroups.
814 conjugacy classes — view the full character table.
| maximal subgroup of | #1882×D71, #31998972, #1902×D71, … |
| maximal normal subgroup of | #1882×D71, #31998972, #1902×D71, … |
| maximal quotient of | C2×#419×D71, C2×#417×D71, C2×#428×D71, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 19246);