Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C22⋊C8×C97 ⋊ C2 |
| Sylow | C97 ⋊ #327 |
90 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,97|a^2=d,c^2=f,b^a=bc,c^a=ce,g^a=g^96,c^b=cf,d^b=def,g^b=g^96979 conjugacy classes — view the full character table.
| maximal subgroup of | #327×D97, C2×#20260470, #27140221, … |
| maximal normal subgroup of | #327×D97, C2×#20260470, #27140221, … |
| maximal quotient of | #27139556, #27139558, #27139616, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 284);