Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×D8×C97 ⋊ C2 |
| Sylow | C97 ⋊ #509 |
90 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,97|d^2=ef,e^2=f,b^a=bd,c^a=cf,d^a=de,e^a=ef,g^a=g^96,d^b=de,e^b=ef688 conjugacy classes — view the full character table.
| maximal subgroup of | #27143632, #27143637, #27143680, … |
| maximal normal subgroup of | #27143632, #27143637, #27143680, … |
| maximal quotient of | #27143446, #27143452, #27143522, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 985);