Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | H(5,𝔽2)×C139 ⋊ C2 |
| Sylow | C139 ⋊ #453 |
168 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,139|d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^138,d^b=df,e^b=ef,d^c=df1189 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31808386, #31808398, #31808408, … |
| maximal normal subgroup of | #31808386, #31808398, #31808408, … |
| maximal quotient of | #31805322, #31805327, #31805350, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 717);