Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×(C22⋊D71)⋊C8 |
| Fitting | C2×C22⋊C8×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×C8×D4 |
616 conjugacy classes of subgroups.
1480 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31887992, #31887997, #31890345, … |
| maximal normal subgroup of | #31887992, #31887997, #31890345, … |
| maximal quotient of | C2×#22587132, C2×#22587137, C2×#22587143, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13180);