Finite Group Databasebeta

← Group #13091646

Character table — Group #13091646

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11133333366666666666661818181818181818181818181818181818181818181818181818181818181818181818818181818181818181
order133333333333333333333333333333333333333999999999999999999266666666
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ4111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32
χ5111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ6111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32
χ72222222222222222222222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000
χ82222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1000000000
χ92222222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1000000000
χ102222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222000000000
χ112222222222-1-1-1222-1-1-1-1-1-12-1-12-1-12-1-1-12-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-1000000000
χ122222222222-1-1-1222-1-1-1-1-1-1-12-1-12-1-12-1-12-1-1-12-1-1-12-1-12-1-12-1-12-1-12-1-12-1000000000
χ132222222222-1-1-1222-1-1-1-1-1-1-1-12-1-12-1-12-12-1-1-12-1-1-1-12-1-12-1-12-1-12-1-12-1-12000000000
χ142222222222-1-1-1-1-1-1222-1-1-12-1-1-12-1-1-12-1-12-1-1-12-12-1-1-12-1-1-122-1-1-12-1-1-12000000000
χ152222222222-1-1-1-1-1-1222-1-1-1-12-1-1-122-1-1-1-12-1-1-12-1-12-1-1-122-1-1-12-1-1-122-1-1000000000
χ162222222222-1-1-1-1-1-1222-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12-1-1-122-1-1-12-1000000000
χ172222222222-1-1-1-1-1-1-1-1-12222-1-1-1-12-12-1-1-1-12-1-1-122-1-1-1-12-12-12-1-1-1-12-12-1000000000
χ182222222222-1-1-1-1-1-1-1-1-1222-12-12-1-1-1-12-1-1-12-1-1-12-12-12-1-1-1-12-12-12-1-1-1-12000000000
χ192222222222-1-1-1-1-1-1-1-1-1222-1-12-12-12-1-1-1-1-12-1-1-12-1-12-12-12-1-1-1-12-12-12-1-1000000000
χ20222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32222222222222-1-1-1-1-1-1-1-1-1−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000
χ21222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000000
χ22222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32000000000
χ23222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3000000000
χ24222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-1-1222-1-1-1-1-1-12-1-12-1-12-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32000000000
χ25222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-1-1222-1-1-1-1-1-1-12-1-12-1-12-11−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i32000000000
χ26222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-1-1222-1-1-1-1-1-1-1-12-1-12-1-121−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i3000000000
χ27222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-1-1-1-1-1222-1-1-12-1-1-12-1-1-121−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3000000000
χ28222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-1-1-1-1-1222-1-1-1-12-1-1-122-1-11−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i32000000000
χ29222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-1-1-1-1-1222-1-1-1-1-122-1-1-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i32000000000
χ30222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-1-1-1-1-1-1-1-12222-1-1-1-12-12-11−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i32−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i32000000000
χ31222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-1-1-1-1-1-1-1-1222-12-12-1-1-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i32−1+i31−i32−1+i31−i321−i321−i321−i32−1+i31+i32−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3000000000
χ32222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-1-1-1-1-1-1-1-1222-1-12-12-12-1-11−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321+i321+i32−1−i31+i32−1−i31+i32−1−i31+i321+i32000000000
χ33222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32222222222222-1-1-1-1-1-1-1-1-1−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000
χ34222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000000
χ35222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32000000000
χ36222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3000000000
χ37222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-1-1222-1-1-1-1-1-12-1-12-1-12-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32000000000
χ38222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-1-1222-1-1-1-1-1-1-12-1-12-1-12-11+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i32000000000
χ39222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-1-1222-1-1-1-1-1-1-1-12-1-12-1-121+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i3000000000
χ40222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-1-1-1-1-1222-1-1-12-1-1-12-1-1-121+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3000000000
χ41222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-1-1-1-1-1222-1-1-1-12-1-1-122-1-11+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i32000000000
χ42222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-1-1-1-1-1222-1-1-1-1-122-1-1-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i32000000000
χ43222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-1-1-1-1-1-1-1-12222-1-1-1-12-12-11+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i32−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i32000000000
χ44222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-1-1-1-1-1-1-1-1222-12-12-1-1-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i32−1−i31+i32−1−i31+i321+i321+i321+i32−1−i31−i32−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3000000000
χ45222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-1-1-1-1-1-1-1-1222-1-12-12-12-1-11+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321−i321−i32−1+i31−i32−1+i31−i32−1+i31−i321−i32000000000
χ46666000000-36-3-36-3-36-3-36-3-300000000000000000000000000000000000000000000
χ47666000000-36-3-3-36-3-36-3-36-300000000000000000000000000000000000000000000
χ48666000000-36-3-3-3-36-3-36-3-3600000000000000000000000000000000000000000000
χ49666000000-3-36-36-3-3-36-3-3-3600000000000000000000000000000000000000000000
χ50666000000-3-36-3-36-3-3-366-3-300000000000000000000000000000000000000000000
χ51666000000-3-36-3-3-366-3-3-36-300000000000000000000000000000000000000000000
χ52666000000-3-3-366-3-3-3-36-36-300000000000000000000000000000000000000000000
χ53666000000-3-3-36-36-36-3-3-3-3600000000000000000000000000000000000000000000
χ54666000000-3-3-36-3-36-36-36-3-300000000000000000000000000000000000000000000
χ559−9+9i32−9−9i323i39−3i32−9−3i329+3i32−9+3i32−3i30000000000000000000000000000000000000000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ569−9+9i32−9−9i323i39−3i32−9−3i329+3i32−9+3i32−3i3000000000000000000000000000000000000000000000000-11−i321+i32-11−i321+i32-11−i321+i32
χ579−9+9i32−9−9i329−3i32−9−3i323i3−9+3i32−3i39+3i320000000000000000000000000000000000000000000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ589−9+9i32−9−9i329−3i32−9−3i323i3−9+3i32−3i39+3i32000000000000000000000000000000000000000000000000-11−i321+i321+i32-11−i321−i321+i32-1
χ599−9+9i32−9−9i32−9−3i323i39−3i32−3i39+3i32−9+3i320000000000000000000000000000000000000000000000001−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ609−9+9i32−9−9i32−9−3i323i39−3i32−3i39+3i32−9+3i32000000000000000000000000000000000000000000000000-11−i321+i321−i321+i32-11+i32-11−i32
χ619−9−9i32−9+9i329+3i32−9+3i32−3i3−9−3i323i39−3i320000000000000000000000000000000000000000000000001−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ629−9−9i32−9+9i329+3i32−9+3i32−3i3−9−3i323i39−3i32000000000000000000000000000000000000000000000000-11+i321−i321−i32-11+i321+i321−i32-1
χ639−9−9i32−9+9i32−9+3i32−3i39+3i323i39−3i32−9−3i320000000000000000000000000000000000000000000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ649−9−9i32−9+9i32−9+3i32−3i39+3i323i39−3i32−9−3i32000000000000000000000000000000000000000000000000-11+i321−i321+i321−i32-11−i32-11+i32
χ659−9−9i32−9+9i32−3i39+3i32−9+3i329−3i32−9−3i323i30000000000000000000000000000000000000000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ669−9−9i32−9+9i32−3i39+3i32−9+3i329−3i32−9−3i323i3000000000000000000000000000000000000000000000000-11+i321−i32-11+i321−i32-11+i321−i32

Here i is the imaginary unit (i² = −1).