Finite Group Databasebeta

← Group #13161228

Character table — Group #13161228

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size111122222222222222222222224444444444444444444444444444444488888888888888888888888888888888121212121212121212121212121212121212181818181818242424242424242424363636363636363636108108216
order12223333344666666666666666333344666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212128824242424242424242424242424242424441212121241212121212121212444121212121212884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111111111111111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1
χ6111111111111111111111111111111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11
χ7111111111111111111111111111111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11
χ8111111111111111111111111111111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1111111-1
χ9222222222-2-2222222222222222222200222222222222-2-2-2-2-2-20000-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000222222000000000-200-2-20000000
χ10222222222-2-2222222222222222222200222222222222-2-2-2-2-2-20000-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000-2-2-2-2-2-2000000000200220000000
χ1122222222-12222222222-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-1000000000222-1-1-1-1-1-1000
χ1222222222-12222222222-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-21111000000000-2-2-2111111000
χ1322222222-12222222222-12222-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-111112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000000022-1-1-1-10000000002-2-2-1-11111000
χ1422222222-12222222222-12222-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-111112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000000-2-21111000000000-22211-1-1-1-1000
χ1522222222-1-2-222222222-12222-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211−i3−i3i3i3-2-2-2-20000000011111111−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i300000000000000000022-1-1-1-1000000000-20011−i3−i3i3i3000
χ1622222222-1-2-222222222-12222-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211−i3−i3i3i3-2-2-2-20000000011111111−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3000000000000000000-2-21111000000000200-1-1i3i3−i3−i3000
χ1722222222-1-2-222222222-12222-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211i3i3−i3−i3-2-2-2-20000000011111111i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i300000000000000000022-1-1-1-1000000000-20011i3i3−i3−i3000
χ1822222222-1-2-222222222-12222-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211i3i3−i3−i3-2-2-2-20000000011111111i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3000000000000000000-2-21111000000000200-1-1−i3−i3i3i3000
χ1922222-1-1-12222-1-1-12-1-1-122-1-1-1222-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-12222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000222-1-1-1-1-1-1000000000000
χ2022222-1-1-12222-1-1-12-1-1-122-1-1-1222-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-12222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2111111111111000000-2-2-2111111000000000000
χ2122222-1-1-12222-1-1-12-1-1-122-1-1-1222-1-1-1-2-222-1-1-1-1-1-12-1-1-12-1-1-122-2-2-2-22-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111-2-2111111222222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2111111000000000000
χ2222222-1-1-12222-1-1-12-1-1-122-1-1-1222-1-1-1-2-222-1-1-1-1-1-12-1-1-12-1-1-122-2-2-2-22-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111-2-2111111-2-2-2-2-2-2111111111111000000222-1-1-1-1-1-1000000000000
χ232222-12-1-1222-12-1-1-12-1-12-12-1-122-12-1-122-1-122-1-1-1-1-12-1-1-12-1-1222222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-10000002-1-122-1-1-1-1000000000000
χ242222-12-1-1222-12-1-1-12-1-12-12-1-122-12-1-122-1-122-1-1-1-1-12-1-1-12-1-1222222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-21111-2-2-2-211111111000000-211-2-21111000000000000
χ252222-12-1-1222-12-1-1-12-1-12-12-1-122-12-1-1-2-2-1-122-1-1-1-1-12-1-1-12-1-122-2-2-2-2-12-1-111-2-21111-1-122-1-1-1-111-2-2111111-2-2111122-1-1-1-12222-1-1-1-1-1-1-1-1000000-211-2-21111000000000000
χ262222-12-1-1222-12-1-1-12-1-12-12-1-122-12-1-1-2-2-1-122-1-1-1-1-12-1-1-12-1-122-2-2-2-2-12-1-111-2-21111-1-122-1-1-1-111-2-2111111-2-21111-2-21111-2-2-2-2111111110000002-1-122-1-1-1-1000000000000
χ272222-1-12-1222-1-12-1-1-12-12-1-12-122-1-12-122-1-1-1-122-1-1-1-12-1-1-12-1222222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-10000002-1-1-1-122-1-1000000000000
χ282222-1-12-1222-1-12-1-1-12-12-1-12-122-1-12-122-1-1-1-122-1-1-1-12-1-1-12-1222222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-211111111-2-2-2-21111000000-21111-2-211000000000000
χ292222-1-12-1222-1-12-1-1-12-12-1-12-122-1-12-1-2-2-1-1-1-122-1-1-1-12-1-1-12-122-2-2-2-2-1-12-11111-2-211-1-1-1-122-1-11111-2-2111111-2-21122-1-1-1-1-1-1-1-12222-1-1-1-1000000-21111-2-211000000000000
χ302222-1-12-1222-1-12-1-1-12-12-1-12-122-1-12-1-2-2-1-1-1-122-1-1-1-12-1-1-12-122-2-2-2-2-1-12-11111-2-211-1-1-1-122-1-11111-2-2111111-2-211-2-211111111-2-2-2-211110000002-1-1-1-122-1-1000000000000
χ312222-1-1-12222-1-1-12-1-1-122-1-1-1222-1-1-1222-1-1-1-1-1-122-1-1-12-1-1-12222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000002-1-1-1-1-1-122000000000000
χ322222-1-1-12222-1-1-12-1-1-122-1-1-1222-1-1-1222-1-1-1-1-1-122-1-1-12-1-1-12222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2111111111111-2-2-2-2000000-2111111-2-2000000000000
χ332222-1-1-12222-1-1-12-1-1-122-1-1-1222-1-1-12-2-2-1-1-1-1-1-122-1-1-12-1-1-1222-2-2-2-2-1-1-12111111-2-2-1-1-1-1-1-122111111-2-2111111-2-222-1-1-1-1-1-1-1-1-1-1-1-12222000000-2111111-2-2000000000000
χ342222-1-1-12222-1-1-12-1-1-122-1-1-1222-1-1-12-2-2-1-1-1-1-1-122-1-1-12-1-1-1222-2-2-2-2-1-1-12111111-2-2-1-1-1-1-1-122111111-2-2111111-2-2-2-2111111111111-2-2-2-20000002-1-1-1-1-1-122000000000000
χ3522-2-2222222-2-2-2-2-222222-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2222222222-22-22-2-2-2-2-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-2000000000000000000000000000000000000000000000
χ3622-2-2222222-2-2-2-2-222222-2-2-2-2-2-22222-22-2-2-2-2-2-2-2-2222222222-2-22-22-2-2-2-2-22-22-22-222-22-22-22-2-22-22-22-22-22-22-22-22000000000000000000000000000000000000000000000
χ3722-2-222222-22-2-2-2-222222-2-2-2-2-2-2222200-2-2-2-2-2-2-2-22222-2-2-2-2-220000222200000000-22-22-22-22000000000000000000000000000000000000000000000000002i−2i002i−2i2i−2i000
χ3822-2-222222-22-2-2-2-222222-2-2-2-2-2-2222200-2-2-2-2-2-2-2-22222-2-2-2-2-220000222200000000-22-22-22-2200000000000000000000000000000000000000000000000000−2i2i00−2i2i−2i2i000
χ3922-2-22222-12-2-2-2-2-22222-1-2-2-2-211-1-1-1-12-211111111-1-1-1-12222-11-11-11-2-2-2-22-22-22-22-2-11-11-11-11-11-11-11-11-11-11-11-110000000000000000000033−3−30000000000003−33−3−33000
χ4022-2-22222-12-2-2-2-2-22222-1-2-2-2-211-1-1-1-12-211111111-1-1-1-12222-11-11-11-2-2-2-22-22-22-22-2-11-11-11-11-11-11-11-11-11-11-11-1100000000000000000000−3−333000000000000−33−333−3000
χ4122-2-22222-12-2-2-2-2-22222-1-2-2-2-211-1-1-1-1-2211111111-1-1-1-12222-111-11-1-2-2-2-2-22-22-22-22-11-11-11-111-11-11-11-11-11-11-11-10000000000000000000033−3−30000000000003−3−333−3000
χ4222-2-22222-12-2-2-2-2-22222-1-2-2-2-211-1-1-1-1-2211111111-1-1-1-12222-111-11-1-2-2-2-2-22-22-22-22-11-11-11-111-11-11-11-11-11-11-11-100000000000000000000−3−333000000000000−333−3−33000
χ4322-2-22222-1-22-2-2-2-22222-1-2-2-2-211-1-1-1-10011111111-1-1-1-1-2-2-2-21-1−i3i3i3−i32222000000001-11-11-11-1−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i30000000000000000000033−3−300000000002i−2i−33−ii−ii000
χ4422-2-22222-1-22-2-2-2-22222-1-2-2-2-211-1-1-1-10011111111-1-1-1-1-2-2-2-21-1−i3i3i3−i32222000000001-11-11-11-1−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i300000000000000000000−3−3330000000000−2i2i3−3i−ii−i000
χ4522-2-22222-1-22-2-2-2-22222-1-2-2-2-211-1-1-1-10011111111-1-1-1-1-2-2-2-21-1i3−i3−i3i32222000000001-11-11-11-1i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i30000000000000000000033−3−30000000000−2i2i−33i−ii−i000
χ4622-2-22222-1-22-2-2-2-22222-1-2-2-2-211-1-1-1-10011111111-1-1-1-1-2-2-2-21-1i3−i3−i3i32222000000001-11-11-11-1i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i300000000000000000000−3−33300000000002i−2i3−3−ii−ii000
χ4722-2-22-1-1-122-2-21112-1-1-12-2111-2-22-1-1-12-2-2-21111112-1-1-12-1-1-12-22-22-2-21112-2-11-11-112-2-11-11-112-2-11-11-112-2-11-11-1100000033−3−333−3−333−3−30000000003−33−33−3000000000000
χ4822-2-22-1-1-122-2-21112-1-1-12-2111-2-22-1-1-12-2-2-21111112-1-1-12-1-1-12-22-22-2-21112-2-11-11-112-2-11-11-112-2-11-11-112-2-11-11-11000000−3−333−3−333−3−333000000000−33−33−33000000000000
χ4922-2-22-1-1-122-2-21112-1-1-12-2111-2-22-1-1-1-22-2-21111112-1-1-12-1-1-12-2-22-22-2111-221-11-11-12-2-11-11-11-221-11-11-1-221-11-11-100000033−3−333−3−333−3−3000000000−33−33−33000000000000
χ5022-2-22-1-1-122-2-21112-1-1-12-2111-2-22-1-1-1-22-2-21111112-1-1-12-1-1-12-2-22-22-2111-221-11-11-12-2-11-11-11-221-11-11-1-221-11-11-1000000−3−333−3−333−3−3330000000003−33−33−3000000000000
χ5122-2-2-12-1-122-21-211-12-1-121-211-2-2-12-1-12-211-2-21111-12-1-1-12-1-12-22-22-21-211-112-2-11-11-112-2-11-11-112-2-11-11-112-2-11-110033−3−3000033−3−3−3−33300000003−3003−3−33000000000000
χ5222-2-2-12-1-122-21-211-12-1-121-211-2-2-12-1-12-211-2-21111-12-1-1-12-1-12-22-22-21-211-112-2-11-11-112-2-11-11-112-2-11-11-112-2-11-1100−3−3330000−3−33333−3−30000000−3300−333−3000000000000
χ5322-2-2-12-1-122-21-211-12-1-121-211-2-2-12-1-1-2211-2-21111-12-1-1-12-1-12-2-22-221-2111-1-221-11-1-112-2-11-111-1-221-11-11-1-221-11-10033−3−3000033−3−3−3−3330000000−3300−333−3000000000000
χ5422-2-2-12-1-122-21-211-12-1-121-211-2-2-12-1-1-2211-2-21111-12-1-1-12-1-12-2-22-221-2111-1-221-11-1-112-2-11-111-1-221-11-11-1-221-11-100−3−3330000−3−33333−3−300000003−3003−3−33000000000000
χ5522-2-2-1-12-122-211-21-1-12-1211-21-2-2-1-12-12-21111-2-211-1-12-1-1-12-12-22-22-211-21-11-112-2-11-11-112-2-11-11-112-2-11-11-112-2-110033−3−3−3−333000033−3−300000003−3−33003−3000000000000
χ5622-2-2-1-12-122-211-21-1-12-1211-21-2-2-1-12-12-21111-2-211-1-12-1-1-12-12-22-22-211-21-11-112-2-11-11-112-2-11-11-112-2-11-11-112-2-1100−3−33333−3−30000−3−3330000000−333−300−33000000000000
χ5722-2-2-1-12-122-211-21-1-12-1211-21-2-2-1-12-1-221111-2-211-1-12-1-1-12-12-2-22-2211-211-11-1-221-1-11-112-2-111-11-1-221-11-11-1-221-10033−3−3−3−333000033−3−30000000−333−300−33000000000000
χ5822-2-2-1-12-122-211-21-1-12-1211-21-2-2-1-12-1-221111-2-211-1-12-1-1-12-12-2-22-2211-211-11-1-221-1-11-112-2-111-11-1-221-11-11-1-221-100−3−33333−3−30000−3−33300000003−3−33003−3000000000000
χ5922-2-2-1-1-1222-2111-2-1-1-122111-2-2-2-1-1-122-2111111-2-2-1-1-12-1-1-122-22-22-2111-2-11-11-112-2-11-11-112-2-11-11-112-2-11-11-112-20033−3−333−3−3−3−333000000000003−33−3−3300000000000000
χ6022-2-2-1-1-1222-2111-2-1-1-122111-2-2-2-1-1-122-2111111-2-2-1-1-12-1-1-122-22-22-2111-2-11-11-112-2-11-11-112-2-11-11-112-2-11-11-112-200−3−333−3−33333−3−300000000000−33−333−300000000000000
χ6122-2-2-1-1-1222-2111-2-1-1-122111-2-2-2-1-1-12-22111111-2-2-1-1-12-1-1-122-2-22-22111-21-11-11-1-22-11-11-112-21-11-11-1-221-11-11-1-220033−3−333−3−3−3−33300000000000−33−333−300000000000000
χ6222-2-2-1-1-1222-2111-2-1-1-122111-2-2-2-1-1-12-22111111-2-2-1-1-12-1-1-122-2-22-22111-21-11-11-1-22-11-11-112-21-11-11-1-221-11-11-1-2200−3−333−3−33333−3−3000000000003−33−3−3300000000000000
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χ10244-4-4-2-2-244-44222-4-2-2-244222-4-4-4-2-2-2400222222-4-4-2-2-24222-4-440000-2-2-24000000002-22-22-2-440000000000000000000000000000000000000000000000000000000000000
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χ1084-44-44444-200-4-4-4-4-4-4-4-4244442-2-2-2-2-200-22-22-22-2222220000000000000000000000000000000000000000000000000000000000000000−4i4i2i−2i2i−2i000000000000000000000
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χ1224-4-44-24-2-2400-24-2-22-422-42-4224-4-24-2-2002-2-442-22-22-422000000000000000000000000000000000000000000000000i6−i6−i6i60000i6−i6−i6i6−i6i6i6−i6000000000000000000000000000
χ1234-4-44-24-2-2400-24-2-22-422-42-4224-4-24-2-2002-2-442-22-22-422000000000000000000000000000000000000000000000000−i6i6i6−i60000−i6i6i6−i6i6−i6−i6i6000000000000000000000000000
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χ1288-88-88-4-4-4-400-8444-844448-4-4-44-4-422200-442-22-22-24-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-88-8-48-4-4-4004-8444-8444-48-4-44-42-422002-2-442-22-2-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-88-8-4-48-4-40044-8444-844-4-48-44-422-42002-22-2-442-2-2-24-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-88-8-4-4-48-400444-8444-84-4-4-484-4222-4002-22-22-2-44-2-2-240000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1358-8-88-4-4-48-400-4-4-48444-84444-8-44222-400-22-22-224-4-2-2-240000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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