Finite Group Databasebeta

← Group #13091647

Character table — Group #13091647

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size12333333336666666666661818181818181818181818181818181818181818181818181818181818181818181818818181818181818181
order133333333333333333333333333333333333333999999999999999999266666666
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ31111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+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
χ41111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+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
χ51111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−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
χ61111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−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
χ7222222222222222222222222-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000
χ82222222222222-1-1-1222222-1-1222-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000
χ92222222222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1222-1-1-1000000000
χ102222222222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1222000000000
χ112222222222-1-1-1222-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-1000000000
χ122222222222-1-1-1222-1-1-1-1-1-1-1-1-12-12-1-1-12-12-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1000000000
χ132222222222-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12000000000
χ142222222222-1-1-1-1-1-1-1-1-1-1-1-12-12-1-1-12-12-1-1-12-12-1-1-12-1-1-12-12-1-1-12-12-1-1-12000000000
χ152222222222-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-1-122-1-1-1-122-1-1-1-122-1-1000000000
χ162222222222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-12-1-1-12-12-1-1-122-1-1-12-12-1-1-12-12-1-1-12-1000000000
χ172222222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12-12-1-1-12-12-1-1-12-12-1000000000
χ182222222222-1-1-1-1-1-1-1-1-1-1-1-1-12-12-1-1-12-12-1-1-12-12-12-1-1-1-122-1-1-1-122-1-1-1-12000000000
χ192222222222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-12-12-1-1-12-12-1-1-12-12-1-1000000000
χ202222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322-1-1-1−1+i3−1+i3−1+i31−i321−i321−i32−1−i3−1−i3−1−i31+i321+i321+i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32000000000
χ212222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-12221−i321−i321−i32−1+i3−1+i3−1+i31+i321+i321+i32−1−i3−1−i3−1−i3-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32000000000
χ222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32222-1-1-1−1+i3−1+i3−1+i31−i321−i321−i32−1−i3−1−i3−1−i31+i321+i321+i32000000000
χ232222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-1-12221−i321−i321−i32−1+i3−1+i3−1+i31+i321+i321+i32−1−i3−1−i3−1−i3000000000
χ242222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-12221−i321−i321−i321+i321+i321+i32-1-12-1-1−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i322-1-12-1-1−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i32000000000
χ252222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-12221−i321−i321−i321+i321+i321+i32-1-1-12-1−1+i31−i321−i321−i32−1+i31−i32−1−i31+i321+i321+i32−1−i31+i32-12-1-12-11−i32−1+i31−i321−i32−1+i31−i321+i32−1−i31+i321+i32−1−i31+i32000000000
χ262222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-12221−i321−i321−i321+i321+i321+i32-1-1-1-12−1+i31−i321−i321−i321−i32−1+i3−1−i31+i321+i321+i321+i32−1−i3-1-12-1-121−i321−i32−1+i31−i321−i32−1+i31+i321+i32−1−i31+i321+i32−1−i3000000000
χ272222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-11−i321−i321−i321+i321+i321+i322-12-1-11−i32−1+i31−i32−1+i31−i321−i321+i32−1−i31+i32−1−i31+i321+i32-12-1-1-121−i32−1+i31−i321−i321−i32−1+i31+i32−1−i31+i321+i321+i32−1−i3000000000
χ282222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-11−i321−i321−i321+i321+i321+i322-1-12-11−i32−1+i31−i321−i32−1+i31−i321+i32−1−i31+i321+i32−1−i31+i32-1-122-1-11−i321−i32−1+i3−1+i31−i321−i321+i321+i32−1−i3−1−i31+i321+i32000000000
χ292222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-11−i321−i321−i321+i321+i321+i322-1-1-121−i32−1+i31−i321−i321−i32−1+i31+i32−1−i31+i321+i321+i32−1−i32-1-1-12-1−1+i31−i321−i321−i32−1+i31−i32−1−i31+i321+i321+i32−1−i31+i32000000000
χ302222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32-122-1-11−i321−i32−1+i3−1+i31−i321−i321+i321+i32−1−i3−1−i31+i321+i32-1-12-12-11−i321−i32−1+i31−i32−1+i31−i321+i321+i32−1−i31+i32−1−i31+i32000000000
χ312222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32-12-12-11−i321−i32−1+i31−i32−1+i31−i321+i321+i32−1−i31+i32−1−i31+i322-1-1-1-12−1+i31−i321−i321−i321−i32−1+i3−1−i31+i321+i321+i321+i32−1−i3000000000
χ322222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32-12-1-121−i321−i32−1+i31−i321−i32−1+i31+i321+i32−1−i31+i321+i32−1−i3-12-12-1-11−i32−1+i31−i32−1+i31−i321−i321+i32−1−i31+i32−1−i31+i321+i32000000000
χ332222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322-1-1-1−1−i3−1−i3−1−i31+i321+i321+i32−1+i3−1+i3−1+i31−i321−i321−i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32000000000
χ342222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-12221+i321+i321+i32−1−i3−1−i3−1−i31−i321−i321−i32−1+i3−1+i3−1+i3-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32000000000
χ352222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32222-1-1-1−1−i3−1−i3−1−i31+i321+i321+i32−1+i3−1+i3−1+i31−i321−i321−i32000000000
χ362222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-1-12221+i321+i321+i32−1−i3−1−i3−1−i31−i321−i321−i32−1+i3−1+i3−1+i3000000000
χ372222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-12221+i321+i321+i321−i321−i321−i32-1-12-1-1−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i322-1-12-1-1−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32000000000
χ382222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-12221+i321+i321+i321−i321−i321−i32-1-1-12-1−1−i31+i321+i321+i32−1−i31+i32−1+i31−i321−i321−i32−1+i31−i32-12-1-12-11+i32−1−i31+i321+i32−1−i31+i321−i32−1+i31−i321−i32−1+i31−i32000000000
χ392222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-12221+i321+i321+i321−i321−i321−i32-1-1-1-12−1−i31+i321+i321+i321+i32−1−i3−1+i31−i321−i321−i321−i32−1+i3-1-12-1-121+i321+i32−1−i31+i321+i32−1−i31−i321−i32−1+i31−i321−i32−1+i3000000000
χ402222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-11+i321+i321+i321−i321−i321−i322-12-1-11+i32−1−i31+i32−1−i31+i321+i321−i32−1+i31−i32−1+i31−i321−i32-12-1-1-121+i32−1−i31+i321+i321+i32−1−i31−i32−1+i31−i321−i321−i32−1+i3000000000
χ412222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-11+i321+i321+i321−i321−i321−i322-1-12-11+i32−1−i31+i321+i32−1−i31+i321−i32−1+i31−i321−i32−1+i31−i32-1-122-1-11+i321+i32−1−i3−1−i31+i321+i321−i321−i32−1+i3−1+i31−i321−i32000000000
χ422222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-11+i321+i321+i321−i321−i321−i322-1-1-121+i32−1−i31+i321+i321+i32−1−i31−i32−1+i31−i321−i321−i32−1+i32-1-1-12-1−1−i31+i321+i321+i32−1−i31+i32−1+i31−i321−i321−i32−1+i31−i32000000000
χ432222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32-122-1-11+i321+i32−1−i3−1−i31+i321+i321−i321−i32−1+i3−1+i31−i321−i32-1-12-12-11+i321+i32−1−i31+i32−1−i31+i321−i321−i32−1+i31−i32−1+i31−i32000000000
χ442222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32-12-12-11+i321+i32−1−i31+i32−1−i31+i321−i321−i32−1+i31−i32−1+i31−i322-1-1-1-12−1−i31+i321+i321+i321+i32−1−i3−1+i31−i321−i321−i321−i32−1+i3000000000
χ452222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32-12-1-121+i321+i32−1−i31+i321+i32−1−i31−i321−i32−1+i31−i321−i32−1+i3-12-12-1-11+i32−1−i31+i32−1−i31+i321+i321−i32−1+i31−i32−1+i31−i321−i32000000000
χ4633−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320003−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000000000000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ4733−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320003−3+3i32−3−3i323−3+3i32−3−3i3200000000000000000000000000000000000-11−i321+i32-11−i321+i32-11−i321+i32
χ4833−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i323−3+3i32−3−3i32000−3+3i32−3−3i323−3−3i323−3+3i32000000000000000000000000000000000001−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ4933−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i323−3+3i32−3−3i32000−3+3i32−3−3i323−3−3i323−3+3i3200000000000000000000000000000000000-11−i321+i321−i321+i32-11+i32-11−i32
χ5033−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i32000−3−3i323−3+3i32−3+3i32−3−3i323000000000000000000000000000000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ5133−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i32000−3−3i323−3+3i32−3+3i32−3−3i32300000000000000000000000000000000000-11−i321+i321+i32-11−i321−i321+i32-1
χ5233−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320003−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000000000000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ5333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320003−3−3i32−3+3i323−3−3i32−3+3i3200000000000000000000000000000000000-11+i321−i32-11+i321−i32-11+i321−i32
χ5433−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i32000−3+3i323−3−3i32−3−3i32−3+3i323000000000000000000000000000000000001−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ5533−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i32000−3+3i323−3−3i32−3−3i32−3+3i32300000000000000000000000000000000000-11+i321−i321−i32-11+i321+i321−i32-1
χ5633−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i323−3−3i32−3+3i32000−3−3i32−3+3i323−3+3i323−3−3i32000000000000000000000000000000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ5733−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i323−3−3i32−3+3i32000−3−3i32−3+3i323−3+3i323−3−3i3200000000000000000000000000000000000-11+i321−i321+i321−i32-11−i32-11+i32
χ5866−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i3-33−3i323+3i32000-33−3i323+3i32-33−3i323+3i3200000000000000000000000000000000000000000000
χ5966−3+3i3−3−3i3−3+3i3−3−3i36−3−3i36−3+3i3-33−3i323+3i320003−3i323+3i32-33+3i32-33−3i3200000000000000000000000000000000000000000000
χ6066−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i36-33−3i323+3i320003+3i32-33−3i323−3i323+3i32-300000000000000000000000000000000000000000000
χ6166−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i3-33+3i323−3i32000-33+3i323−3i32-33+3i323−3i3200000000000000000000000000000000000000000000
χ6266−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36-33+3i323−3i320003−3i32-33+3i323+3i323−3i32-300000000000000000000000000000000000000000000
χ6366−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i3-33+3i323−3i320003+3i323−3i32-33−3i32-33+3i3200000000000000000000000000000000000000000000
χ6418-90000000000009-900000000000000000000000000000000000000000000000000
χ6518-9000000000009-9000000000000000000000000000000000000000000000000000
χ6618-900000000000-90900000000000000000000000000000000000000000000000000

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