Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C131 ⋊ #367 |
46 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,131|a^2=d,b^2=cef,c^2=ef,e^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^1302102 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30664148, #30664149, #30664167, … |
| maximal normal subgroup of | #30664148, #30664149, #30664167, … |
| maximal quotient of | #30664035, #30664053, #30664167, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 377);