Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C22×C8×C97 ⋊ C2 |
| Sylow | C97 ⋊ #416 |
158 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,97|a^2=e,c^2=f,d^2=f,b^a=bd,d^a=df,g^a=g^96,d^b=df,g^b=g^961564 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27141572, #27141573, #27141579, … |
| maximal normal subgroup of | #27141572, #27141573, #27141579, … |
| maximal quotient of | #27140119, #27140145, #27140171, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 546);