Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | H(5,𝔽2)×C97 ⋊ C2 |
| Sylow | C97 ⋊ #453 |
168 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,97|d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^96,d^b=df,e^b=ef,d^c=df832 conjugacy classes — view the full character table.
| maximal subgroup of | #27143718, #27143730, #27143740, … |
| maximal normal subgroup of | #27143718, #27143730, #27143740, … |
| maximal quotient of | #27140654, #27140659, #27140682, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 717);