Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | #124×C139 ⋊ C2 |
| Sylow | C139 ⋊ #496 |
144 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,139|b^2=d,c^2=e,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^138,c^b=cf,g^b=g^138982 conjugacy classes — view the full character table.
| maximal subgroup of | #31804560, #31804562, #31805693, … |
| maximal normal subgroup of | #31804560, #31804562, #31805693, … |
| maximal quotient of | #31806028, #31806034, #31806045, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 939);