Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#104×D71 |
| Fitting | C2×#104×C71 ⋊ C2 |
| Sylow | C71 ⋊ C22×#104 |
856 conjugacy classes of subgroups.
1036 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#104×D71, #1759×D71, #31995179, … |
| maximal normal subgroup of | C4×#104×D71, #1759×D71, #31995179, … |
| maximal quotient of | C2×D4⋊C8×D71, C2×Q8⋊C8×D71, #1476×D71, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13045);