Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C97 ⋊ #358 |
58 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,97|a^2=d,b^2=f,c^2=ef,e^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^96,c^b=ce,e^b=ef,g^b=g^961558 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #358×D97, C2×#20260540, #27143440, … |
| maximal normal subgroup of | #358×D97, C2×#20260540, #27143440, … |
| maximal quotient of | #27139701, #27139749, #27139786, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 354);