Finite Group Databasebeta

← Group #13168449

Character table — Group #13168449

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222233334444444444444444444444446666666666666666666666666688888888881212121212121212121212121212121212121212121212121212121218181818181818181818181824242424242436363636363636367272108108
order12223334466666666612121212444433366666666612121212121212121212121244444412121212121212121212121212121212121212123666121212121212441212121212121212121212121212121212121212121212121212224466661212121212121212121222446666121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111111-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ71111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-1
χ91111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-11-11-111-1-11-11-1
χ101111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-11-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1-111-11-11-1-111-11-11
χ111111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-111-1-11-1-1111-1-1-11-11
χ121111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-11-1-111-111-1-1-1111-11-1
χ131111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-111-1-1-111-1-1-1111-1-11
χ141111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-11-1-1111-1-1111-1-1-111-1
χ151111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11-111-1-1-11-11-1-111-111-1
χ161111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-11-1-1111-11-111-1-11-1-11
χ17222222-1222-1-1222-122222222222-1-1-12-1-122-1-1-122-1-12222-1-1-1-10022002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-100-1-1-1-100-1-1-1-1-1-1-1-10000000000000000000022-1-1-1-12200-1-1-1-10000
χ18222222-1222-1-1222-122222222222-1-1-12-1-122-1-1-122-1-12222-1-1-1-10022002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1-100111100-1-1-1-1-1-1-1-100000000000000000000-2-21111-2-20011110000
χ19222222-1222-1-1222-1222222-2-2-2-22-1-1-12-1-122-1-1-122-1-12222-1-1-1-100-2-200-2-2-2-2-2-2-2-2000000001111-1-1-1-1-1-1-1-1-1-1221100-1-1-1-100111111110000000000000000000022-1-1-1-1-2-20011110000
χ20222222-1222-1-1222-1222222-2-2-2-22-1-1-12-1-122-1-1-122-1-12222-1-1-1-100-2-200-2-2-2-2-2-2-2-2000000001111-1-1-1-1-1-1-1-1-1-1-2-211001111001111111100000000000000000000-2-211112200-1-1-1-10000
χ21222222-1-2-22-1-1222-122-2-2-2-222222-1-1-12-1-122-1-1-1-2-211-2-2-2-2111100-2-2002222-2-2-2-200000000-1-1-1-1-1-1-1-11111112-21100-1-11100-1-1-1-11111000000000000000000002-2-1-1112-200-1-1110000
χ22222222-1-2-22-1-1222-122-2-2-2-222222-1-1-12-1-122-1-1-1-2-211-2-2-2-2111100-2-2002222-2-2-2-200000000-1-1-1-1-1-1-1-1111111-22110011-1-100-1-1-1-1111100000000000000000000-2211-1-1-220011-1-10000
χ23222222-1-2-22-1-1222-122-2-2-2-2-2-2-2-22-1-1-12-1-122-1-1-1-2-211-2-2-2-21111002200-2-2-2-22222000000001111-1-1-1-11111112-2-1-100-1-111001111-1-1-1-1000000000000000000002-2-1-111-220011-1-10000
χ24222222-1-2-22-1-1222-122-2-2-2-2-2-2-2-22-1-1-12-1-122-1-1-1-2-211-2-2-2-21111002200-2-2-2-22222000000001111-1-1-1-1111111-22-1-10011-1-1001111-1-1-1-100000000000000000000-2211-1-12-200-1-1110000
χ2522222-1222222-1-122-12-1-1-1-12222-12-12-12-1-1-1-1-122222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1002222000022-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000
χ2622222-1222222-1-122-12-1-1-1-12222-12-12-12-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-222-2-2-1-1-1-1-1-1-1-1111111112222-1-1-1-122-1-1-1-10022-2-20000-2-2-1-1-1-1-1-1-1-111111111-2-2-2-211111111000000000000000000
χ2722222-1222222-1-122-12-1-1-1-1-2-2-2-2-12-12-12-1-1-1-1-122222-1-1-1-1-1-1-1-122-2-22211111111-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-100-2-22200002211111111-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000000000
χ2822222-1222222-1-122-12-1-1-1-1-2-2-2-2-12-12-12-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111111111-2-2-2-2-1-1-1-122-1-1-1-100-2-2-2-20000-2-211111111111111112222-1-1-1-1-1-1-1-1000000000000000000
χ2922222-12-2-2222-1-122-1211112222-12-12-12-1-1-1-1-12-2-2-2-21111111122-2-2-2-2-1-1-1-11111-1-1-1-111112222-1-1-1-1-2-2111100-2-2220000-2-2-1-1-1-11111-1-1-1-1111122-2-2-1-1-1-11111000000000000000000
χ3022222-12-2-2222-1-122-1211112222-12-12-12-1-1-1-1-12-2-2-2-211111111-2-2-2-222-1-1-1-111111111-1-1-1-12222-1-1-1-1-2-2111100-2-2-2-2000022-1-1-1-111111111-1-1-1-1-2-2221111-1-1-1-1000000000000000000
χ3122222-12-2-2222-1-122-121111-2-2-2-2-12-12-12-1-1-1-1-12-2-2-2-2111111112222-2-21111-1-1-1-1-1-1-1-11111-2-2-2-2-1-1-1-1-2-211110022220000-2-21111-1-1-1-1-1-1-1-11111-2-2221111-1-1-1-1000000000000000000
χ3222222-12-2-2222-1-122-121111-2-2-2-2-12-12-12-1-1-1-1-12-2-2-2-211111111-2-222221111-1-1-1-11111-1-1-1-1-2-2-2-2-1-1-1-1-2-211110022-2-20000221111-1-1-1-11111-1-1-1-122-2-2-1-1-1-11111000000000000000000
χ332222-12222-12222-122-122220000-1-12-1-1-12-1-122-1-1-122-1-1-1-1222222002200000000222222220000-1-1-1-1-1-1-1-1-1-12200-1-12222-1-100000000-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-100220000-1-100
χ342222-12222-12222-122-122220000-1-12-1-1-12-1-122-1-1-122-1-1-1-1222222002200000000222222220000-1-1-1-1-1-1-1-1-1-1-2-200-1-1-2-2-2-2-1-100000000-1-1-1-1-1-1-1-100000000000011111100-2-200001100
χ352222-12222-12222-122-122220000-1-12-1-1-12-1-122-1-1-122-1-1-1-12222-2-200-2-200000000-2-2-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-1-12200112222110000000011111111000000000000-1-1-1-1-1-100-2-200001100
χ362222-12222-12222-122-122220000-1-12-1-1-12-1-122-1-1-122-1-1-1-12222-2-200-2-200000000-2-2-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-2-20011-2-2-2-211000000001111111100000000000011111100220000-1-100
χ372222-122-2-2-12222-122-1-2-2-2-20000-1-12-1-1-12-1-122-111-2-21111-2-2-2-22200-2-2000000002222-2-2-2-20000-1-1-1-11111112-200-1-122-2-21100000000-1-1-1-11111000000000000-11-1-111002-20000-1100
χ382222-122-2-2-12222-122-1-2-2-2-20000-1-12-1-1-12-1-122-111-2-21111-2-2-2-22200-2-2000000002222-2-2-2-20000-1-1-1-1111111-2200-1-1-2-2221100000000-1-1-1-111110000000000001-111-1-100-2200001-100
χ392222-122-2-2-12222-122-1-2-2-2-20000-1-12-1-1-12-1-122-111-2-21111-2-2-2-2-2-2002200000000-2-2-2-222220000-1-1-1-11111112-2001122-2-2-1-1000000001111-1-1-1-1000000000000-11-1-11100-2200001-100
χ402222-122-2-2-12222-122-1-2-2-2-20000-1-12-1-1-12-1-122-111-2-21111-2-2-2-2-2-2002200000000-2-2-2-222220000-1-1-1-1111111-220011-2-222-1-1000000001111-1-1-1-10000000000001-111-1-1002-20000-1100
χ4122-2-222200-2-2-22-222-2-2000022-2-2222-2-2-2-22-22-2200000000000000002i−2i22-2-2000000002i2i−2i−2i22-2-222-2-200000000000000002i−2i22-2-2000000002i2i−2i−2i002i−2i00002i2i−2i−2i000000000000000000
χ4222-2-222200-2-2-22-222-2-2000022-2-2222-2-2-2-22-22-220000000000000000−2i2i22-2-200000000−2i−2i2i2i22-2-222-2-20000000000000000−2i2i22-2-200000000−2i−2i2i2i00−2i2i0000−2i−2i2i2i000000000000000000
χ4322-2-222200-2-2-22-222-2-20000-2-222222-2-2-2-22-22-2200000000000000002i−2i-2-222000000002i2i−2i−2i-2-22222-2-200000000000000002i−2i-2-222000000002i2i−2i−2i00−2i2i0000−2i−2i2i2i000000000000000000
χ4422-2-222200-2-2-22-222-2-20000-2-222222-2-2-2-22-22-220000000000000000−2i2i-2-22200000000−2i−2i2i2i-2-22222-2-20000000000000000−2i2i-2-22200000000−2i−2i2i2i002i−2i00002i2i−2i−2i000000000000000000
χ4522-2-22-1200-2-2-2-11221-233−3−322-2-2-12-1-21-21-11-112000033−3−333−3−300002i−2i-1-11133−3−3−i3−i3i3i3−i−iii22-2-2-1-1110033−3−300000000002i−2i-1-11133−3−3−i3−i3i3i3−i−iii002i−2i−i3−i3i3i3−i−iii000000000000000000
χ4622-2-22-1200-2-2-2-11221-233−3−322-2-2-12-1-21-21-11-112000033−3−333−3−30000−2i2i-1-11133−3−3i3i3−i3−i3ii−i−i22-2-2-1-1110033−3−30000000000−2i2i-1-11133−3−3i3i3−i3−i3ii−i−i00−2i2ii3i3−i3−i3ii−i−i000000000000000000
χ4722-2-22-1200-2-2-2-11221-233−3−3-2-222-12-1-21-21-11-112000033−3−333−3−300002i−2i11-1-1−3−333−i3−i3i3i3−i−iii-2-222-1-1110033−3−300000000002i−2i11-1-1−3−333−i3−i3i3i3−i−iii00−2i2ii3i3−i3−i3ii−i−i000000000000000000
χ4822-2-22-1200-2-2-2-11221-233−3−3-2-222-12-1-21-21-11-112000033−3−333−3−30000−2i2i11-1-1−3−333i3i3−i3−i3ii−i−i-2-222-1-1110033−3−30000000000−2i2i11-1-1−3−333i3i3−i3−i3ii−i−i002i−2i−i3−i3i3i3−i−iii000000000000000000
χ4922-2-22-1200-2-2-2-11221-2−3−33322-2-2-12-1-21-21-11-1120000−3−333−3−33300002i−2i-1-111−3−333i3i3−i3−i3−i−iii22-2-2-1-11100−3−33300000000002i−2i-1-111−3−333i3i3−i3−i3−i−iii002i−2ii3i3−i3−i3−i−iii000000000000000000
χ5022-2-22-1200-2-2-2-11221-2−3−33322-2-2-12-1-21-21-11-1120000−3−333−3−3330000−2i2i-1-111−3−333−i3−i3i3i3ii−i−i22-2-2-1-11100−3−3330000000000−2i2i-1-111−3−333−i3−i3i3i3ii−i−i00−2i2i−i3−i3i3i3ii−i−i000000000000000000
χ5122-2-22-1200-2-2-2-11221-2−3−333-2-222-12-1-21-21-11-1120000−3−333−3−33300002i−2i11-1-133−3−3i3i3−i3−i3−i−iii-2-222-1-11100−3−33300000000002i−2i11-1-133−3−3i3i3−i3−i3−i−iii00−2i2i−i3−i3i3i3ii−i−i000000000000000000
χ5222-2-22-1200-2-2-2-11221-2−3−333-2-222-12-1-21-21-11-1120000−3−333−3−3330000−2i2i11-1-133−3−3−i3−i3i3i3ii−i−i-2-222-1-11100−3−3330000000000−2i2i11-1-133−3−3−i3−i3i3i3ii−i−i002i−2ii3i3−i3−i3−i−iii000000000000000000
χ532-22-222200-2-22-22-2-2-2200002i−2i2i−2i2222-2-2-2-22-22-20000000000002i−2i00002i−2i2i−2i00002i−2i2i−2i00002i−2i2i−2i2-22-200000000002i−2i0000002i−2i2i−2i00002i−2i2i−2i00002-2002-22-20000000000000000000000
χ542-22-222200-2-22-22-2-2-2200002i−2i2i−2i2222-2-2-2-22-22-2000000000000−2i2i00002i−2i2i−2i0000−2i2i−2i2i00002i−2i2i−2i2-22-20000000000−2i2i0000002i−2i2i−2i0000−2i2i−2i2i0000-2200-22-220000000000000000000000
χ552-22-222200-2-22-22-2-2-220000−2i2i−2i2i2222-2-2-2-22-22-20000000000002i−2i0000−2i2i−2i2i00002i−2i2i−2i0000−2i2i−2i2i2-22-200000000002i−2i000000−2i2i−2i2i00002i−2i2i−2i0000-2200-22-220000000000000000000000
χ562-22-222200-2-22-22-2-2-220000−2i2i−2i2i2222-2-2-2-22-22-2000000000000−2i2i0000−2i2i−2i2i0000−2i2i−2i2i0000−2i2i−2i2i2-22-20000000000−2i2i000000−2i2i−2i2i0000−2i2i−2i2i00002-2002-22-20000000000000000000000
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χ1254-4-44-2444-4-24-4-4-42-4424-4-440000-2-242-2-2422-4-42-224-4-222-24-4-4400000000000000000000000000-222-2-22-222-20000000000000000000000000000000000000000000000000000000000
χ1264-4-44-244-44-24-4-4-42-442-444-40000-2-242-2-2422-4-422-2-442-2-22-444-400000000000000000000000000-222-22-22-2-220000000000000000000000000000000000000000000000000000000000
χ1274-4-44-24-24-4-2-22-4-422424-4-440000-21-2-1-21-22222-1-22-22-222-2-222-2000000000000000000000000001-1-111-11-1-1100000023−2323−2300000000000000000000000000000000−33−33000000000000
χ1284-4-44-24-24-4-2-22-4-422424-4-440000-21-2-1-21-22222-1-22-22-222-2-222-2000000000000000000000000001-1-111-11-1-11000000−2323−2323000000000000000000000000000000003−33−3000000000000
χ1294-4-44-24-2-44-2-22-4-42242-444-40000-21-2-1-21-22222-12-22-22-2-222-2-22000000000000000000000000001-1-11-11-111-100000023−23−232300000000000000000000000000000000−333−3000000000000
χ1304-4-44-24-2-44-2-22-4-42242-444-40000-21-2-1-21-22222-12-22-22-2-222-2-22000000000000000000000000001-1-11-11-111-1000000−232323−23000000000000000000000000000000003−3−33000000000000
χ1314-4-44-2-244-4-24-4222-4-22-222-200001-2-221-2-2-1-1222-224-41-1-11-222-20000000000000023−23−2323−232323−2300001-1-11-221-1-1100000000000000000000−333−33−3−33000000000000000000000000000000
χ1324-4-44-2-244-4-24-4222-4-22-222-200001-2-221-2-2-1-1222-224-41-1-11-222-200000000000000−232323−2323−23−232300001-1-11-221-1-11000000000000000000003−3−33−333−3000000000000000000000000000000
χ1334-4-44-2-24-44-24-4222-4-222-2-2200001-2-221-2-2-1-12222-2-44-111-12-2-220000000000000023−23−232323−23−232300001-1-112-2-111-100000000000000000000−333−3−333−3000000000000000000000000000000
χ1344-4-44-2-24-44-24-4222-4-222-2-2200001-2-221-2-2-1-12222-2-44-111-12-2-2200000000000000−232323−23−232323−2300001-1-112-2-111-1000000000000000000003−3−333−3−33000000000000000000000000000000
χ1358888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-40000222222222222-4-4-4-42222222200000000000000000000000000-1-1-1-122-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ1368888-4-4-4-8-8-4-4-4-4-4-4-4-4-4444400002222222222224444-2-2-2-2-2-2-2-200000000000000000000000000-1-1-1-1-2-211110000000000000000000000000000000000000000000000000000000000
χ13788-8-8-48-4004448-8-4-4-8400000000-42-4-24-24-44-4420000000000000000000000000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000
χ13888-8-8-4-4-400444-44-4-4444343−43−430000222-2-2-2-22-22-220000−23−232323−23−23232300000000000000000000000000-1-1110033−3−30000000000000000000000000000000000000000000000000000000000
χ13988-8-8-4-4-400444-44-4-444−43−4343430000222-2-2-2-22-22-2200002323−23−232323−23−2300000000000000000000000000-1-11100−3−3330000000000000000000000000000000000000000000000000000000000
χ1408-88-8-48-40044-4-8844-8-400000000-42-424-244-44-4-2000000000000000000000000000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000
χ1418-88-8-4-4-40044-44-4444-443−4343−4300002222-2-2-2-22-22-20000−2323−2323−2323−232300000000000000000000000000-11-11003−33−30000000000000000000000000000000000000000000000000000000000
χ1428-88-8-4-4-40044-44-4444-4−4343−434300002222-2-2-2-22-22-2000023−2323−2323−2323−2300000000000000000000000000-11-1100−33−330000000000000000000000000000000000000000000000000000000000
χ1438-8-88-4-4-48-8-4-444444-44-444-40000222-2222-2-2-2-2-2-44-442-2-222-2-2200000000000000000000000000-111-12-2-111-10000000000000000000000000000000000000000000000000000000000
χ1448-8-88-4-4-4-88-4-444444-444-4-440000222-2222-2-2-2-2-24-44-4-222-2-222-200000000000000000000000000-111-1-221-1-110000000000000000000000000000000000000000000000000000000000

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