Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C4⋊C4×C97 ⋊ C2 |
| Sylow | C97 ⋊ #481 |
114 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,97|c^2=df,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^96,e^c=ef979 conjugacy classes — view the full character table.
| maximal subgroup of | #27140754, #27140755, #27140765, … |
| maximal normal subgroup of | #27140754, #27140755, #27140765, … |
| maximal quotient of | #27141826, #27141929, #27142053, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 867);