Finite Group DatabasebetaFinite Group Databasebeta| order | 6112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C191 ⋊ #106 |
36 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,191|a^2=d,b^2=c,c^2=e,b^a=bc,c^a=ce,f^b=f^190964 conjugacy classes — view the full character table.
| maximal subgroup of | #106×D191, C2×#20259253, #27132699, … |
| maximal normal subgroup of | #106×D191, C2×#20259253, #27132699, … |
| maximal quotient of | #27132413, #27132425, #27132485, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6112, 77);