Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C139 ⋊ #430 |
102 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,139|a^2=e,b^2=d,d^2=f,e^2=f,b^a=bd,d^a=df,g^a=g^138,c^b=cf1402 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31806625, #31806626, #31806646, … |
| maximal normal subgroup of | #31806625, #31806626, #31806646, … |
| maximal quotient of | #31805156, #31805171, #31805175, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 598);