Finite Group Databasebeta

← Group #13152269

Character table — Group #13152269

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11133333333333121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212192192192192192192
order133233666666664444412121212121212121212121212121212121212121212121212121212121212121212121212121212999999
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ311111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ41111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111−1+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−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ51111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111−1+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−i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ61111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ71111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111−1−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+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ81111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ91111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111−1−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+i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ10333333333333333-1-1-1-133-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-1000000
χ1133333333333333-13-1-1-1-1-133-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1000000
χ1233333333333333-1-13-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1000000
χ1333333333333333-1-1-13-1-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-1333-1-1-1000000
χ1433333333333333-1-1-1-13-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-1333000000
χ153333−3+3i32−3−3i3233−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i323-1-1-1-133-1-1-1-1-1-1-1-1−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000
χ163333−3+3i32−3−3i3233−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-13-1-1-1-1-133-1-1-1-1-1-11−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000
χ173333−3+3i32−3−3i3233−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-13-1-1-1-1-1-133-1-1-1-11−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32000000
χ183333−3+3i32−3−3i3233−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-13-1-1-1-1-1-1-133-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i321+i32000000
χ193333−3+3i32−3−3i3233−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-1-13-1-1-1-1-1-1-1-1331−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i32000000
χ203333−3−3i32−3+3i3233−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i323-1-1-1-133-1-1-1-1-1-1-1-1−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000
χ213333−3−3i32−3+3i3233−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-13-1-1-1-1-133-1-1-1-1-1-11+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000
χ223333−3−3i32−3+3i3233−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-13-1-1-1-1-1-133-1-1-1-11+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32000000
χ233333−3−3i32−3+3i3233−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-13-1-1-1-1-1-1-133-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i321−i32000000
χ243333−3−3i32−3+3i3233−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-1-13-1-1-1-1-1-1-1-1331+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i32000000
χ253−3+3i32−3−3i32300−3+3i32−3−3i3200000033333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000000000000
χ263−3+3i32−3−3i32300−3+3i32−3−3i320000003-1-1-1-1−3+3i32−3−3i321−i321+i321−i321+i321−i321+i321−i321+i320002−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i30002−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000000
χ273−3+3i32−3−3i32300−3+3i32−3−3i320000003-1-1-1-1−3+3i32−3−3i321−i321+i321−i321+i321−i321+i321−i321+i32000−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32000−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3000000
χ283−3+3i32−3−3i32300−3+3i32−3−3i320000003-1-1-1-1−3+3i32−3−3i321−i321+i321−i321+i321−i321+i321−i321+i32000−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3000−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32000000
χ293−3+3i32−3−3i32300−3+3i32−3−3i32000000-13-1-1-11−i321+i32−3+3i32−3−3i321−i321+i321−i321+i321−i321+i322−1+i3−1−i30002−1+i3−1−i3−1+i3−1−i32−1−i32−1+i32−1+i3−1−i30002−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32000000
χ303−3+3i32−3−3i32300−3+3i32−3−3i32000000-13-1-1-11−i321+i32−3+3i32−3−3i321−i321+i321−i321+i321−i321+i32−1+i3−1−i32000−1+i3−1−i32−1−i32−1+i32−1+i3−1−i3−1−i32−1+i3000−1−i32−1+i3−1+i3−1−i322−1+i3−1−i3000000
χ313−3+3i32−3−3i32300−3+3i32−3−3i32000000-13-1-1-11−i321+i32−3+3i32−3−3i321−i321+i321−i321+i321−i321+i32−1−i32−1+i3000−1−i32−1+i32−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32000−1+i3−1−i322−1+i3−1−i3−1−i32−1+i3000000
χ323−3+3i32−3−3i32300−3+3i32−3−3i32000000-1-13-1-11−i321+i321−i321+i32−3+3i32−3−3i321−i321+i321−i321+i322−1+i3−1−i32−1+i3−1−i3000−1−i32−1+i3−1+i3−1−i322−1+i3−1−i32−1+i3−1−i3000−1+i3−1−i32−1−i32−1+i3000000
χ333−3+3i32−3−3i32300−3+3i32−3−3i32000000-1-13-1-11−i321+i321−i321+i32−3+3i32−3−3i321−i321+i321−i321+i32−1+i3−1−i32−1+i3−1−i320002−1+i3−1−i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i30002−1+i3−1−i3−1+i3−1−i32000000
χ343−3+3i32−3−3i32300−3+3i32−3−3i32000000-1-13-1-11−i321+i321−i321+i32−3+3i32−3−3i321−i321+i321−i321+i32−1−i32−1+i3−1−i32−1+i3000−1+i3−1−i322−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32000−1−i32−1+i32−1+i3−1−i3000000
χ353−3+3i32−3−3i32300−3+3i32−3−3i32000000-1-1-13-11−i321+i321−i321+i321−i321+i32−3+3i32−3−3i321−i321+i322−1+i3−1−i3−1+i3−1−i32−1−i32−1+i30002−1+i3−1−i32−1+i3−1−i3−1−i32−1+i3−1+i3−1−i320002−1+i3−1−i3000000
χ363−3+3i32−3−3i32300−3+3i32−3−3i32000000-1-1-13-11−i321+i321−i321+i321−i321+i32−3+3i32−3−3i321−i321+i32−1+i3−1−i32−1−i32−1+i32−1+i3−1−i3000−1+i3−1−i32−1−i32−1+i3−1+i3−1−i322−1+i3−1−i3000−1−i32−1+i3000000
χ373−3+3i32−3−3i32300−3+3i32−3−3i32000000-1-1-13-11−i321+i321−i321+i321−i321+i32−3+3i32−3−3i321−i321+i32−1−i32−1+i32−1+i3−1−i3−1+i3−1−i32000−1−i32−1+i3−1+i3−1−i322−1+i3−1−i3−1−i32−1+i3000−1+i3−1−i32000000
χ383−3+3i32−3−3i32300−3+3i32−3−3i32000000-1-1-1-131−i321+i321−i321+i321−i321+i321−i321+i32−3+3i32−3−3i322−1+i3−1−i3−1−i32−1+i3−1+i3−1−i322−1+i3−1−i30002−1+i3−1−i3−1+i3−1−i32−1−i32−1+i32−1+i3−1−i3000000000
χ393−3+3i32−3−3i32300−3+3i32−3−3i32000000-1-1-1-131−i321+i321−i321+i321−i321+i321−i321+i32−3+3i32−3−3i32−1+i3−1−i322−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32000−1−i32−1+i32−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3000000000
χ403−3+3i32−3−3i32300−3+3i32−3−3i32000000-1-1-1-131−i321+i321−i321+i321−i321+i321−i321+i32−3+3i32−3−3i32−1−i32−1+i3−1+i3−1−i322−1+i3−1−i3−1−i32−1+i3000−1+i3−1−i32−1−i32−1+i32−1+i3−1−i3−1+i3−1−i32000000000
χ413−3−3i32−3+3i32300−3−3i32−3+3i3200000033333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000000000000
χ423−3−3i32−3+3i32300−3−3i32−3+3i320000003-1-1-1-1−3−3i32−3+3i321+i321−i321+i321−i321+i321−i321+i321−i320002−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i30002−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3000000
χ433−3−3i32−3+3i32300−3−3i32−3+3i320000003-1-1-1-1−3−3i32−3+3i321+i321−i321+i321−i321+i321−i321+i321−i32000−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3000−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32000000
χ443−3−3i32−3+3i32300−3−3i32−3+3i320000003-1-1-1-1−3−3i32−3+3i321+i321−i321+i321−i321+i321−i321+i321−i32000−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32000−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3000000
χ453−3−3i32−3+3i32300−3−3i32−3+3i32000000-13-1-1-11+i321−i32−3−3i32−3+3i321+i321−i321+i321−i321+i321−i322−1−i3−1+i30002−1−i3−1+i3−1−i3−1+i32−1+i32−1−i32−1−i3−1+i30002−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32000000
χ463−3−3i32−3+3i32300−3−3i32−3+3i32000000-13-1-1-11+i321−i32−3−3i32−3+3i321+i321−i321+i321−i321+i321−i32−1+i32−1−i3000−1+i32−1−i32−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32000−1−i3−1+i322−1−i3−1+i3−1+i32−1−i3000000
χ473−3−3i32−3+3i32300−3−3i32−3+3i32000000-13-1-1-11+i321−i32−3−3i32−3+3i321+i321−i321+i321−i321+i321−i32−1−i3−1+i32000−1−i3−1+i32−1+i32−1−i32−1−i3−1+i3−1+i32−1−i3000−1+i32−1−i3−1−i3−1+i322−1−i3−1+i3000000
χ483−3−3i32−3+3i32300−3−3i32−3+3i32000000-1-13-1-11+i321−i321+i321−i32−3−3i32−3+3i321+i321−i321+i321−i322−1−i3−1+i32−1−i3−1+i3000−1+i32−1−i3−1−i3−1+i322−1−i3−1+i32−1−i3−1+i3000−1−i3−1+i32−1+i32−1−i3000000
χ493−3−3i32−3+3i32300−3−3i32−3+3i32000000-1-13-1-11+i321−i321+i321−i32−3−3i32−3+3i321+i321−i321+i321−i32−1+i32−1−i3−1+i32−1−i3000−1−i3−1+i322−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32000−1+i32−1−i32−1−i3−1+i3000000
χ503−3−3i32−3+3i32300−3−3i32−3+3i32000000-1-13-1-11+i321−i321+i321−i32−3−3i32−3+3i321+i321−i321+i321−i32−1−i3−1+i32−1−i3−1+i320002−1−i3−1+i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i30002−1−i3−1+i3−1−i3−1+i32000000
χ513−3−3i32−3+3i32300−3−3i32−3+3i32000000-1-1-13-11+i321−i321+i321−i321+i321−i32−3−3i32−3+3i321+i321−i322−1−i3−1+i3−1−i3−1+i32−1+i32−1−i30002−1−i3−1+i32−1−i3−1+i3−1+i32−1−i3−1−i3−1+i320002−1−i3−1+i3000000
χ523−3−3i32−3+3i32300−3−3i32−3+3i32000000-1-1-13-11+i321−i321+i321−i321+i321−i32−3−3i32−3+3i321+i321−i32−1+i32−1−i32−1−i3−1+i3−1−i3−1+i32000−1+i32−1−i3−1−i3−1+i322−1−i3−1+i3−1+i32−1−i3000−1−i3−1+i32000000
χ533−3−3i32−3+3i32300−3−3i32−3+3i32000000-1-1-13-11+i321−i321+i321−i321+i321−i32−3−3i32−3+3i321+i321−i32−1−i3−1+i32−1+i32−1−i32−1−i3−1+i3000−1−i3−1+i32−1+i32−1−i3−1−i3−1+i322−1−i3−1+i3000−1+i32−1−i3000000
χ543−3−3i32−3+3i32300−3−3i32−3+3i32000000-1-1-1-131+i321−i321+i321−i321+i321−i321+i321−i32−3−3i32−3+3i322−1−i3−1+i3−1+i32−1−i3−1−i3−1+i322−1−i3−1+i30002−1−i3−1+i3−1−i3−1+i32−1+i32−1−i32−1−i3−1+i3000000000
χ553−3−3i32−3+3i32300−3−3i32−3+3i32000000-1-1-1-131+i321−i321+i321−i321+i321−i321+i321−i32−3−3i32−3+3i32−1+i32−1−i3−1−i3−1+i322−1−i3−1+i3−1+i32−1−i3000−1−i3−1+i32−1+i32−1−i32−1−i3−1+i3−1−i3−1+i32000000000
χ563−3−3i32−3+3i32300−3−3i32−3+3i32000000-1-1-1-131+i321−i321+i321−i321+i321−i321+i321−i32−3−3i32−3+3i32−1−i3−1+i322−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32000−1+i32−1−i32−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3000000000
χ57121212-41212-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000
χ58121212-4−6+6i3−6−6i3-4-42−2i32−2i32−2i32+2i32+2i32+2i3000000000000000000000000000000000000000000000000000
χ59121212-4−6−6i3−6+6i3-4-42+2i32+2i32+2i32−2i32−2i32−2i3000000000000000000000000000000000000000000000000000
χ6012−6+6i3−6−6i3-4002−2i32+2i38−4+4i3−4−4i38−4+4i3−4−4i3000000000000000000000000000000000000000000000000000
χ6112−6+6i3−6−6i3-4002−2i32+2i3−4+4i3−4−4i38−4−4i38−4+4i3000000000000000000000000000000000000000000000000000
χ6212−6+6i3−6−6i3-4002−2i32+2i3−4−4i38−4+4i3−4+4i3−4−4i38000000000000000000000000000000000000000000000000000
χ6312−6−6i3−6+6i3-4002+2i32−2i38−4−4i3−4+4i38−4−4i3−4+4i3000000000000000000000000000000000000000000000000000
χ6412−6−6i3−6+6i3-4002+2i32−2i3−4+4i38−4−4i3−4−4i3−4+4i38000000000000000000000000000000000000000000000000000
χ6512−6−6i3−6+6i3-4002+2i32−2i3−4−4i3−4+4i38−4+4i38−4−4i3000000000000000000000000000000000000000000000000000

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