Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | M32×C139 ⋊ C2 |
| Sylow | C139 ⋊ #349 |
58 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,139|a^2=d,d^2=e,e^2=f,b^a=bc,c^a=cf,d^b=df,g^b=g^1381402 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #349×D139, C2×#22580734, #31808023, … |
| maximal normal subgroup of | #349×D139, C2×#22580734, #31808023, … |
| maximal quotient of | #31804327, #31804343, #31804361, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 330);