Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C283 ⋊ #462 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18112 |
Polycyclic presentation:
2^6,283|a^2=f,b^2=d,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^b=g^282,e^c=ef1993 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #462×D283, C2×#31826673, #49130712, … |
| maximal normal subgroup of | #462×D283, C2×#31826673, #49130712, … |
| maximal quotient of | #49120641, #49120645, #49120653, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 757);