Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C283 ⋊ #495 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9056 |
Polycyclic presentation:
2^6,283|b^2=d,c^2=ef,d^2=f,b^a=bd,c^a=ce,d^a=df,g^b=g^282,g^c=g^2821996 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49123314, #49123315, #49123321, … |
| maximal normal subgroup of | #49123314, #49123315, #49123321, … |
| maximal quotient of | #49120850, #49120859, #49120861, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 932);