Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14556159 |
| Fitting | C2×C4×Q8×C71 ⋊ C2 |
| Sylow | C71 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
1444 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31892066, #31892072, #31892080, … |
| maximal normal subgroup of | #31892066, #31892072, #31892080, … |
| maximal quotient of | C8×#14556159, #31967046, #31967066, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13329);