Finite Group Databasebeta

← Group #13161166

Character table — Group #13161166

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222222224444444444444444444444444444444466668888888888888888888888888888888899991212121212121212121212121212121212121818181818182424242424242424363636363636363654545454108108
order12223333344666666666666666333344666666666666121212121212121212121212121288881212121212121212121212121212121212121212121212121212121212121212444444242424242424242424242424242424244412121212121212121212121244121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ6111111111111111111111111111111-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ7111111111111111111111111111111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1
χ91-1-1111111-11-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-1ii−i−i1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−ii−iiiiiiiii−i−i−i−i−i−i−i−ii−iii−i−iiiii−i−i−i−ii−ii−iii−i−i11-1-11-1
χ101-1-1111111-11-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-1ii−i−i1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iiii−iiiiiiiii−i−i−i−i−i−i−i−i−ii−i−iiiiiii−i−i−i−i−ii−ii−i−iii-1-111-11
χ111-1-1111111-11-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-1−i−iii1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−i−ii−i−i−i−i−i−i−i−iiiiiiiiii−iii−i−i−i−i−i−iiiiii−ii−iii−i−i-1-111-11
χ121-1-1111111-11-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-1−i−iii1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−ii−i−i−i−i−i−i−i−iiiiiiiii−ii−i−iii−i−i−i−iiiii−ii−ii−i−iii11-1-11-1
χ131-1-1111111-11-1-1-1-111111-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1ii−i−i-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−iiiiiiiiii−i−i−i−i−i−i−i−ii−iii−i−i−i−i−i−iiiii−iii−i−i−iii11-1-1-11
χ141-1-1111111-11-1-1-1-111111-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1ii−i−i-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii−iiiiiiiiii−i−i−i−i−i−i−i−i−ii−i−iii−i−i−i−iiiiii−i−iiii−i−i-1-1111-1
χ151-1-1111111-11-1-1-1-111111-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1−i−iii-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−ii−i−i−i−i−i−i−i−i−iiiiiiiiii−iii−i−iiiii−i−i−i−i−iii−i−i−iii-1-1111-1
χ161-1-1111111-11-1-1-1-111111-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1−i−iii-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiii−i−i−i−i−i−i−i−i−iiiiiiiii−ii−i−iiiiiii−i−i−i−ii−i−iiii−i−i11-1-1-11
χ17222222222-2-2222222222222222222200222222222222-2-2-2-2-2-20000-2-2-2-2000000000000-2-2-2-2-2-2-2-200000000000000002222000000000000000000-2-222220000000000-2-20000000000
χ18222222222-2-2222222222222222222200222222222222-2-2-2-2-2-20000-2-2-2-2000000000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-200000000000000000022-2-2-2-20000000000220000000000
χ1922222222-12222222222-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000000000000022-1-1-1-10000000022-1-1-1-1-1-1000000
χ2022222222-12222222222-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000000000-2-2111100000000-2-2111111000000
χ2122222222-12222222222-12222-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1111122220000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111222200000000000000000022-1-1-1-100000000-2-2-1-11111000000
χ2222222222-12222222222-12222-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1111122220000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2000000000000000000-2-21111000000002211-1-1-1-1000000
χ2322222222-1-2-222222222-12222-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211−i3i3−i3i3-2-2-2-200000000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i32222000000000000000000-2-2-1-1-1-1000000000011−i3i3−i3i3000000
χ2422222222-1-2-222222222-12222-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211−i3i3−i3i3-2-2-2-200000000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-2-2-2-20000000000000000002211110000000000-1-1i3−i3i3−i3000000
χ2522222222-1-2-222222222-12222-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211i3−i3i3−i3-2-2-2-200000000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i32222000000000000000000-2-2-1-1-1-1000000000011i3−i3i3−i3000000
χ2622222222-1-2-222222222-12222-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211i3−i3i3−i3-2-2-2-200000000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-2-2-2-20000000000000000002211110000000000-1-1−i3i3−i3i3000000
χ2722222-1-1-12222-1-1-12-1-1-122-1-1-1222-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-12222222-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-100002222-1-1-1-1-1-122-1-1-1-1-1-10000002-1-1-12-1-1-100000000000000
χ2822222-1-1-12222-1-1-12-1-1-122-1-1-1222-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-12222222-1-1-1-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-10000-2-2-2-2111111-2-2111111000000-2111-211100000000000000
χ2922222-1-1-12222-1-1-12-1-1-122-1-1-1222-1-1-1-2-222-1-1-1-1-1-12-1-1-12-1-1-122-2-2-2-22-1-1-12222-2111-21112-1-1-12-1-1-1-2111-2111-2111-21110000-2-222-1-1-1-1-1-122-1-1-1-1-1-1000000-2111-211100000000000000
χ3022222-1-1-12222-1-1-12-1-1-122-1-1-1222-1-1-1-2-222-1-1-1-1-1-12-1-1-12-1-1-122-2-2-2-22-1-1-1-2-2-2-2-2111-21112-1-1-12-1-1-1-2111-2111-2111-2111000022-2-2111111-2-21111110000002-1-1-12-1-1-100000000000000
χ312222-12-1-1222-12-1-1-12-1-12-12-1-122-12-1-122-1-122-1-1-1-1-12-1-1-12-1-1222222-12-1-12222-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1000022-1-122-1-1-1-1-1-122-1-1-1-1000000-12-1-1-12-1-100000000000000
χ322222-12-1-1222-12-1-1-12-1-12-12-1-122-12-1-122-1-122-1-1-1-1-12-1-1-12-1-1222222-12-1-1-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-10000-2-211-2-2111111-2-211110000001-2111-21100000000000000
χ332222-12-1-1222-12-1-1-12-1-12-12-1-122-12-1-1-2-2-1-122-1-1-1-1-12-1-1-12-1-122-2-2-2-2-12-1-122221-2111-211-12-1-1-12-1-11-2111-2111-2111-2110000-2-2-1-122-1-1-1-1-1-122-1-1-1-10000001-2111-21100000000000000
χ342222-12-1-1222-12-1-1-12-1-12-12-1-122-12-1-1-2-2-1-122-1-1-1-1-12-1-1-12-1-122-2-2-2-2-12-1-1-2-2-2-21-2111-211-12-1-1-12-1-11-2111-2111-2111-21100002211-2-2111111-2-21111000000-12-1-1-12-1-100000000000000
χ352222-1-12-1222-1-12-1-1-12-12-1-12-122-1-12-122-1-1-1-122-1-1-1-12-1-1-12-1222222-1-12-12222-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1000022-1-1-1-122-1-1-1-1-1-122-1-1000000-1-12-1-1-12-100000000000000
χ362222-1-12-1222-1-12-1-1-12-12-1-12-122-1-12-122-1-1-1-122-1-1-1-12-1-1-12-1222222-1-12-1-2-2-2-2-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-10000-2-21111-2-2111111-2-21100000011-2111-2100000000000000
χ372222-1-12-1222-1-12-1-1-12-12-1-12-122-1-12-1-2-2-1-1-1-122-1-1-1-12-1-1-12-122-2-2-2-2-1-12-1222211-2111-21-1-12-1-1-12-111-2111-2111-2111-210000-2-2-1-1-1-122-1-1-1-1-1-122-1-100000011-2111-2100000000000000
χ382222-1-12-1222-1-12-1-1-12-12-1-12-122-1-12-1-2-2-1-1-1-122-1-1-1-12-1-1-12-122-2-2-2-2-1-12-1-2-2-2-211-2111-21-1-12-1-1-12-111-2111-2111-2111-210000221111-2-2111111-2-211000000-1-12-1-1-12-100000000000000
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χ412222-1-1-12222-1-1-12-1-1-122-1-1-1222-1-1-12-2-2-1-1-1-1-1-122-1-1-12-1-1-1222-2-2-2-2-1-1-122222111-2111-2-1-1-12-1-1-12111-2111-2111-2111-20000-2-2-1-1-1-1-1-122-1-1-1-1-1-122000000111-2111-200000000000000
χ422222-1-1-12222-1-1-12-1-1-122-1-1-1222-1-1-12-2-2-1-1-1-1-1-122-1-1-12-1-1-1222-2-2-2-2-1-1-12-2-2-2-2111-2111-2-1-1-12-1-1-12111-2111-2111-2111-2000022111111-2-2111111-2-2000000-1-1-12-1-1-1200000000000000
χ4322-2-222222002222-2-2-2-2-2-2-2-2-22-22222002-22-22-22-2-2-2-2-2000000000000002−22−2000000000000000000000000000000002-22-2002−22−22−22−22−22−22−22−2002-22-200000000000000002−22−200
χ4422-2-222222002222-2-2-2-2-2-2-2-2-22-22222002-22-22-22-2-2-2-2-2000000000000002−22−200000000000000000000000000000000-22-22002−22−22−22−22−22−22−22−200-22-220000000000000000−22−2200
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χ542-2-222222-12-2-2-2-2-22222-1-2-2-2-211-1-1-1-10011111111-1-1-1-1-2-2-2-21-1−i3i3i3−i322220000000000001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−2i−2i2i2i0000000000000000002i−2iii−i−i0000000000−ii−333−3000000
χ552-2-222222-12-2-2-2-2-22222-1-2-2-2-211-1-1-1-10011111111-1-1-1-1-2-2-2-21-1i3−i3−i3i322220000000000001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i32i2i−2i−2i000000000000000000−2i2i−i−iii0000000000i−i−333−3000000
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χ1264-4-44-24-2-2-2-442-422-24-2-2-22-422221-211-44-1-122-1-1-1-11-211-24-2-2-2222-2-22-42200002-422-24-2-21-211-12-1-1-12-1-1-12-1-11-2111-21100000000000000000000000000000000000000000000000000
χ1274-4-44-2-24-244-422-42-2-24-2422-42-4-4-2-24-2002222-4-422-2-24-222-42-440000-2-24-200000000000022-42-2-24-2000000000000000000000000000000000000000000000000000000000000000000
χ1284-4-44-2-24-2-24-422-42-2-24-2-222-422211-2100-1-1-1-122-1-111-2122-422-2−2i32i32i3−2i3-2-24-2000000000000-1-12-111-21i3i3−2i3i3−i3−i32i3−i3−i3−i32i3−i3i3i3−2i3i300000000000000000000000000000000000000000000000000
χ1294-4-44-2-24-2-24-422-42-2-24-2-222-422211-2100-1-1-1-122-1-111-2122-422-22i3−2i3−2i32i3-2-24-2000000000000-1-12-111-21−i3−i32i3−i3i3i3−2i3i3i3i3−2i3i3−i3−i32i3−i300000000000000000000000000000000000000000000000000
χ1304-4-44-2-24-2-2-4422-42-2-24-2-222-422211-214-4-1-1-1-122-1-111-21-2-24-2-22-2-22222-420000-2-24-222-4211-21-1-12-111-2111-21-1-12-1-1-12-100000000000000000000000000000000000000000000000000
χ1314-4-44-2-24-2-2-4422-42-2-24-2-222-422211-21-44-1-1-1-122-1-111-21-2-24-2-2222-2-222-42000022-42-2-24-211-21-1-12-1-1-12-1-1-12-111-2111-2100000000000000000000000000000000000000000000000000
χ1324-4-44-2-2-2444-4222-4-2-2-244222-4-4-4-2-2-2400222222-4-4-2-2-24222-4-440000-2-2-24000000000000222-4-2-2-24000000000000000000000000000000000000000000000000000000000000000000
χ1334-4-44-2-2-24-24-4222-4-2-2-24-2222-422111-200-1-1-1-1-1-122111-2222-42-2−2i32i32i3−2i3-2-2-24000000000000-1-1-12111-2i3i3i3−2i3−i3−i3−i32i3−i3−i3−i32i3i3i3i3−2i300000000000000000000000000000000000000000000000000
χ1344-4-44-2-2-24-24-4222-4-2-2-24-2222-422111-200-1-1-1-1-1-122111-2222-42-22i3−2i3−2i32i3-2-2-24000000000000-1-1-12111-2−i3−i3−i32i3i3i3i3−2i3i3i3i3−2i3−i3−i3−i32i300000000000000000000000000000000000000000000000000
χ1354-4-44-2-2-24-2-44222-4-2-2-24-2222-422111-24-4-1-1-1-1-1-122111-2-2-2-24-22-2-222222-40000-2-2-24222-4111-2-1-1-12111-2111-2-1-1-12-1-1-1200000000000000000000000000000000000000000000000000
χ1364-4-44-2-2-24-2-44222-4-2-2-24-2222-422111-2-44-1-1-1-1-1-122111-2-2-2-24-2222-2-2222-40000222-4-2-2-24111-2-1-1-12-1-1-12-1-1-12111-2111-200000000000000000000000000000000000000000000000000
χ13788-8-88-4-4-4-4008-4-4-4-84444-8444-44-422200-442-22-22-24-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13888-8-8-48-4-4-400-48-4-44-84444-844-442-422002-2-442-22-2-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988-8-8-4-48-4-400-4-48-444-84444-84-4422-42002-22-2-442-2-2-24-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-8-4-4-48-400-4-4-48444-84444-8-44222-4002-22-22-2-44-2-2-240000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-88-4-4-4-400-8444-844448-4-4-44-4-4222004-4-22-22-224-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-48-4-4-4004-8444-8444-48-4-44-42-42200-224-4-22-22-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-88-8-4-48-4-40044-8444-844-4-48-44-422-4200-22-224-4-22-2-24-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-88-8-4-4-48-400444-8444-84-4-4-484-4222-400-22-22-224-4-2-2-240000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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