Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C283 ⋊ #458 |
160 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4528 |
Polycyclic presentation:
2^6,283|a^2=f,b^a=bd,c^a=ce,g^a=g^282,e^b=ef,d^c=df2413 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49123249, #49123250, #49123255, … |
| maximal normal subgroup of | #49123249, #49123250, #49123255, … |
| maximal quotient of | #49120247, #49120252, #49120258, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 739);