Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C131 ⋊ #476 |
108 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,131|a^2=df,b^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^130,e^c=ef1319 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30665077, #30665079, #30665088, … |
| maximal normal subgroup of | #30665077, #30665079, #30665088, … |
| maximal quotient of | #30665961, #30666222, #30666546, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 839);