Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C139 ⋊ #442 |
132 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,139|a^2=e,c^2=ef,d^2=f,b^a=bd,c^a=cf,d^a=df,g^a=g^138,d^b=df,g^c=g^138988 conjugacy classes — view the full character table.
| maximal subgroup of | #31808303, #31808305, #442×D139, … |
| maximal normal subgroup of | #31808303, #31808305, #442×D139, … |
| maximal quotient of | #31805228, #31805269, #31805318, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 661);