Finite Group DatabasebetaFinite Group Databasebeta| order | 6176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C23×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^d=f^192395 conjugacy classes — view the full character table.
| maximal subgroup of | #27136159, #27136160, #27136161, … |
| maximal normal subgroup of | #27136159, #27136160, #27136161, … |
| maximal quotient of | #27136102, #27136105, #27136110, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6176, 204);