Finite Group DatabasebetaFinite Group Databasebeta| order | 6112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C191 ⋊ #103 |
42 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,191|a^2=d,b^2=e,c^2=e,b^a=bc,c^a=ce,f^a=f^190,c^b=ce964 conjugacy classes — view the full character table.
| maximal subgroup of | #103×D191, C2×#20259246, #27132658, … |
| maximal normal subgroup of | #103×D191, C2×#20259246, #27132658, … |
| maximal quotient of | Q8⋊(C191⋊C8), #27132400, #27132409, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6112, 70);