Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#17986073 |
| Fitting | C2×C22⋊C8×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#435 |
564 conjugacy classes of subgroups.
1456 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31906681, #31995769, #31995780, … |
| maximal normal subgroup of | #31906681, #31995769, #31995780, … |
| maximal quotient of | C2×#22587172, C2×#22587186, C2×#22587179, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13192);