Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C139 ⋊ #483 |
104 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,139|a^2=f,c^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^138,e^c=ef1399 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31805393, #31805394, #31805398, … |
| maximal normal subgroup of | #31805393, #31805394, #31805398, … |
| maximal quotient of | #31806490, #31806597, #31806711, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 879);