Finite Group DatabasebetaFinite Group Databasebeta| order | 6304 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C197 ⋊ #103 |
42 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,197|a^2=d,b^2=e,c^2=e,b^a=bc,c^a=ce,c^b=ce,f^b=f^196994 conjugacy classes — view the full character table.
| maximal subgroup of | #103×D197, C2×#20263249, #27161072, … |
| maximal normal subgroup of | #103×D197, C2×#20263249, #27161072, … |
| maximal quotient of | #27160809, #27160815, #27160824, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6304, 69);