Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C283 ⋊ #499 |
86 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18112 |
Polycyclic presentation:
2^6,283|a^2=d,b^2=df,c^2=e,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^2824534 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49119312, #49119314, #49119321, … |
| maximal normal subgroup of | #49119312, #49119314, #49119321, … |
| maximal quotient of | #49121425, #49121989, #49121994, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 951);