Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #101×C139 ⋊ C2 |
| Sylow | C139 ⋊ #454 |
146 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,139|c^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^138,d^b=df,e^b=ef,g^b=g^138,d^c=df775 conjugacy classes — view the full character table.
| maximal subgroup of | #31808422, #31808426, #31808431, … |
| maximal normal subgroup of | #31808422, #31808426, #31808431, … |
| maximal quotient of | #31805335, #31805341, #31805346, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 724);