Finite Group DatabasebetaFinite Group Databasebeta| order | 6112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C191 ⋊ #101 |
38 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,191|a^2=d,b^2=e,d^2=e,b^a=bc,c^a=ce,d^b=de,f^b=f^190961 conjugacy classes — view the full character table.
| maximal subgroup of | #101×D191, C2×#20259240, #27132644, … |
| maximal normal subgroup of | #101×D191, C2×#20259240, #27132644, … |
| maximal quotient of | #27132388, #27132404, #27132408, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6112, 64);