Finite Group DatabasebetaFinite Group Databasebeta| order | 6304 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C22⋊C4×C197 ⋊ C2 |
| Sylow | C197 ⋊ #99 |
52 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,197|a^2=d,b^a=bc,c^a=ce,d^b=de,f^b=f^196991 conjugacy classes — view the full character table.
| maximal subgroup of | #99×D197, C2×#20263240, #27161051, … |
| maximal normal subgroup of | #99×D197, C2×#20263240, #27161051, … |
| maximal quotient of | #27160802, #27160804, #27160812, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6304, 60);