Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C283 ⋊ #446 |
94 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,c^a=cf,g^a=g^282,g^c=g^2822848 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49120098, #49120100, #49120112, … |
| maximal normal subgroup of | #49120098, #49120100, #49120112, … |
| maximal quotient of | #49121130, #49121136, #49121820, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 680);