Finite Group DatabasebetaFinite Group Databasebeta| order | 6176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C4×C193 ⋊ C4 |
| Sylow | C193 ⋊ #99 |
52 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,193|a^2=d,b^a=bc,c^a=ce,f^a=f^112,d^b=de,f^b=f^192,f^d=f^192395 conjugacy classes — view the full character table.
| maximal subgroup of | #27136163, #27136164, #27136165, … |
| maximal normal subgroup of | #27136163, #27136164, #27136165, … |
| maximal quotient of | #27136103, #27136104, #27136111, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6176, 205);