Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#17984785 |
| Fitting | C2×Q16×C139 ⋊ C2 |
| Sylow | C139 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
988 conjugacy classes — view the full character table.
| maximal subgroup of | #31808253, C4×#17984785, #31808266, … |
| maximal normal subgroup of | #31808253, C4×#17984785, #31808266, … |
| maximal quotient of | C2×#22580753, C2×#22580757, C2×#22580780, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 972);