Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C139 ⋊ #448 |
158 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,139|b^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,d^b=df,g^b=g^138985 conjugacy classes — view the full character table.
| maximal subgroup of | #31805356, #31805357, #31805367, … |
| maximal normal subgroup of | #31805356, #31805357, #31805367, … |
| maximal quotient of | #31805326, #31805343, #31805394, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 687);