Finite Group DatabasebetaFinite Group Databasebeta| order | 6112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C191 ⋊ #99 |
52 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,191|a^2=d,b^a=bc,c^a=ce,f^a=f^190,d^b=de961 conjugacy classes — view the full character table.
| maximal subgroup of | #27132450, #27132451, #27132453, … |
| maximal normal subgroup of | #27132450, #27132451, #27132453, … |
| maximal quotient of | #27132387, #27132389, #27132397, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6112, 61);