Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C2×D8×C139 ⋊ C2 |
| Sylow | C139 ⋊ #466 |
134 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,139|b^2=df,d^2=f,b^a=bd,c^a=ce,d^a=df,g^c=g^138988 conjugacy classes — view the full character table.
| maximal subgroup of | #31808314, #31808319, #31808324, … |
| maximal normal subgroup of | #31808314, #31808319, #31808324, … |
| maximal quotient of | #31805756, #31805761, #31805790, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 782);