Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C139 ⋊ #474 |
108 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,139|a^2=d,b^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^b=g^138,e^c=ef985 conjugacy classes — view the full character table.
| maximal subgroup of | #474×D139, C2×#22581231, #31816188, … |
| maximal normal subgroup of | #474×D139, C2×#22581231, #31816188, … |
| maximal quotient of | #31806402, #31806649, #31806653, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 827);