Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C283 ⋊ #358 |
58 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18112 |
Polycyclic presentation:
2^6,283|a^2=d,b^2=f,c^2=ef,e^2=f,b^a=bc,c^a=ce,e^a=ef,c^b=ce,e^b=ef,g^b=g^2821996 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #358×D283, C2×#31826268, #49122965, … |
| maximal normal subgroup of | #358×D283, C2×#31826268, #49122965, … |
| maximal quotient of | #49119224, #49119272, #49119309, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 352);