Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | #102×Dic71 |
| Sylow | C71 ⋊ C4×#102 |
396 conjugacy classes of subgroups.
1036 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#102×D71, C2×#102×Dic71, C4×#17985992, … |
| maximal normal subgroup of | C4×#102×D71, C2×#102×Dic71, C4×#17985992, … |
| maximal quotient of | D4⋊C8×Dic71, #31888076, #31888091, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 4327);