Finite Group DatabasebetaFinite Group Databasebeta| order | 6304 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C197 ⋊ #102 |
50 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,197|a^2=d,c^2=e,b^a=bc,c^a=ce,f^a=f^196,c^b=ce994 conjugacy classes — view the full character table.
| maximal subgroup of | #102×D197, C2×#20263247, #27161072, … |
| maximal normal subgroup of | #102×D197, C2×#20263247, #27161072, … |
| maximal quotient of | D4⋊#13096802, #27160813, #27160823, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6304, 67);