Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C283 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18112 |
Polycyclic presentation:
2^6,283|a^2=e,b^2=d,c^2=de,e^2=f,b^a=bd,g^c=g^2822860 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49120060, #49120064, #49120065, … |
| maximal normal subgroup of | #49120060, #49120064, #49120065, … |
| maximal quotient of | #49121122, #49121126, #49121815, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 673);