Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | M32×C97 ⋊ C2 |
| Sylow | C97 ⋊ #360 |
58 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,97|a^2=d,c^2=e,e^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^96,c^b=cef,d^b=df,e^b=ef,g^b=g^96976 conjugacy classes — view the full character table.
| maximal subgroup of | #360×D97, C2×#20260546, #27143470, … |
| maximal normal subgroup of | #360×D97, C2×#20260546, #27143470, … |
| maximal quotient of | #27139704, #27139707, #27139746, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 360);