Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C2×Q16×C139 ⋊ C2 |
| Sylow | C139 ⋊ #495 |
130 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,139|b^2=d,c^2=ef,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^138,g^b=g^138,g^c=g^138988 conjugacy classes — view the full character table.
| maximal subgroup of | #31808461, #31808462, #31808468, … |
| maximal normal subgroup of | #31808461, #31808462, #31808468, … |
| maximal quotient of | #31805997, #31805998, #31806007, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 934);