Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C23×C97 ⋊ C8 |
| Sylow | C97 ⋊ #323 |
98 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,97|a^2=d,d^2=f,b^a=bc,c^a=ce,g^a=g^64,d^b=de,g^d=g^22,g^f=g^96118 conjugacy classes — view the full character table.
| maximal subgroup of | #27158761, #27158762, #27158774, … |
| maximal normal subgroup of | #27158761, #27158762, #27158774, … |
| maximal quotient of | #27158735, #27158737, #27158745, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 1634);