Finite Group Databasebeta

← Group #10877204

Character table — Group #10877204

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order1222222222223444444446666666121212121212121244444444666612121212121212121212121212121212121212122244444466661212121212121212121212124444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111
χ172222222222222-2-22222-2-2222222222222222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ19222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ21222222222222-122-2-2-2-222-1-1-1-1-1-1-11111111122-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ22222222222222-122-2-2-2-222-1-1-1-1-1-1-11111111122-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ23222222222222-1-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-1-1-1-11111111111111111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ24222222222222-1-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-1-1-1-11111111111111111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ25222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-22222-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ26222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-22222-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ2722222222-2-2-2-22-2-22222-2-222222222222222222-2-222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ2822222222-2-2-2-22-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-2-2-222222222-2-2-2-222220000000000000000000000000000000000000000
χ2922222222-2-2-2-2-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-21111-1-1-1-11111-1-1-1-11111111122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ3022222222-2-2-2-2-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-21111-1-1-1-11111-1-1-1-111111111-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ3122222222-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ3222222222-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ3322222222-2-2-2-2-1-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-211111111-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3422222222-2-2-2-2-1-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-211111111-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ3522222222-2-2-2-2-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1111111112222-2-22211111111-1-1-1-1-1-1-1-11111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ3622222222-2-2-2-2-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1111111112222-2-22211111111-1-1-1-1-1-1-1-11111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ372222-2-2-2-222-2-22220000-2-22-222-2-2-2000000002-200000022-2-222-2-222-2-20000000000002-22-200002-22-22-22-2000000000000000000000000
χ382222-2-2-2-222-2-22220000-2-22-222-2-2-2000000002-200000022-2-222-2-222-2-2000000000000-22-220000-22-22-22-22000000000000000000000000
χ392222-2-2-2-222-2-22-2-20000222-222-2-2-200000000-2200000022-2-2-2-222-2-22200000000000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ402222-2-2-2-222-2-22-2-20000222-222-2-2-200000000-2200000022-2-2-2-222-2-2220000000000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ412222-2-2-2-222-2-2-1220000-2-2-11-1-11113333−3−3−3−32-2000000-1-111-1-111-1-11133−3−333−3−333−3−32-22-20000-11-11-11-113−3−333−3−330000000000000000
χ422222-2-2-2-222-2-2-1220000-2-2-11-1-11113333−3−3−3−32-2000000-1-111-1-111-1-11133−3−333−3−333−3−3-22-2200001-11-11-11-1−333−3−333−30000000000000000
χ432222-2-2-2-222-2-2-1220000-2-2-11-1-1111−3−3−3−333332-2000000-1-111-1-111-1-111−3−333−3−333−3−3332-22-20000-11-11-11-11−333−3−333−30000000000000000
χ442222-2-2-2-222-2-2-1220000-2-2-11-1-1111−3−3−3−333332-2000000-1-111-1-111-1-111−3−333−3−333−3−333-22-2200001-11-11-11-13−3−333−3−330000000000000000
χ452222-2-2-2-222-2-2-1-2-2000022-11-1-11113333−3−3−3−3-22000000-1-11111-1-111-1-1−3−333−3−33333−3−300002i−2i2i−2i−i3i3i3−i3−i3i3i3−i3−ii−ii−ii−ii0000000000000000
χ462222-2-2-2-222-2-2-1-2-2000022-11-1-11113333−3−3−3−3-22000000-1-11111-1-111-1-1−3−333−3−33333−3−30000−2i2i−2i2ii3−i3−i3i3i3−i3−i3i3i−ii−ii−ii−i0000000000000000
χ472222-2-2-2-222-2-2-1-2-2000022-11-1-1111−3−3−3−33333-22000000-1-11111-1-111-1-133−3−333−3−3−3−33300002i−2i2i−2ii3−i3−i3i3i3−i3−i3i3−ii−ii−ii−ii0000000000000000
χ482222-2-2-2-222-2-2-1-2-2000022-11-1-1111−3−3−3−33333-22000000-1-11111-1-111-1-133−3−333−3−3−3−3330000−2i2i−2i2i−i3i3i3−i3−i3i3i3−i3i−ii−ii−ii−i0000000000000000
χ492222-2-2-2-2-2-2222220000-2-22-222-2-2-200000000-22000000-2-22222-2-2-2-2220000000000002-2-2200002-22-2-22-22000000000000000000000000
χ502222-2-2-2-2-2-2222220000-2-22-222-2-2-200000000-22000000-2-22222-2-2-2-222000000000000-222-20000-22-222-22-2000000000000000000000000
χ512222-2-2-2-2-2-2222-2-20000222-222-2-2-2000000002-2000000-2-222-2-22222-2-200000000000000002i−2i−2i2i000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ522222-2-2-2-2-2-2222-2-20000222-222-2-2-2000000002-2000000-2-222-2-22222-2-20000000000000000−2i2i2i−2i00000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ532222-2-2-2-2-2-222-1220000-2-2-11-1-11113333−3−3−3−3-2200000011-1-1-1-11111-1-133−3−3−3−333−3−3332-2-220000-11-111-11-1−333−33−3−330000000000000000
χ542222-2-2-2-2-2-222-1220000-2-2-11-1-11113333−3−3−3−3-2200000011-1-1-1-11111-1-133−3−3−3−333−3−333-222-200001-11-1-11-113−3−33−333−30000000000000000
χ552222-2-2-2-2-2-222-1220000-2-2-11-1-1111−3−3−3−33333-2200000011-1-1-1-11111-1-1−3−33333−3−333−3−32-2-220000-11-111-11-13−3−33−333−30000000000000000
χ562222-2-2-2-2-2-222-1220000-2-2-11-1-1111−3−3−3−33333-2200000011-1-1-1-11111-1-1−3−33333−3−333−3−3-222-200001-11-1-11-11−333−33−3−330000000000000000
χ572222-2-2-2-2-2-222-1-2-2000022-11-1-11113333−3−3−3−32-200000011-1-111-1-1-1-111−3−33333−3−3−3−33300002i−2i−2i2ii3−i3−i3i3−i3i3i3−i3−ii−iii−ii−i0000000000000000
χ582222-2-2-2-2-2-222-1-2-2000022-11-1-11113333−3−3−3−32-200000011-1-111-1-1-1-111−3−33333−3−3−3−3330000−2i2i2i−2i−i3i3i3−i3i3−i3−i3i3i−ii−i−ii−ii0000000000000000
χ592222-2-2-2-2-2-222-1-2-2000022-11-1-1111−3−3−3−333332-200000011-1-111-1-1-1-11133−3−3−3−33333−3−300002i−2i−2i2i−i3i3i3−i3i3−i3−i3i3−ii−iii−ii−i0000000000000000
χ602222-2-2-2-2-2-222-1-2-2000022-11-1-1111−3−3−3−333332-200000011-1-111-1-1-1-11133−3−3−3−33333−3−30000−2i2i2i−2ii3−i3−i3i3−i3i3i3−i3i−ii−i−ii−ii0000000000000000
χ612-22-22-22-2000022-222-2-22-2-2-22-22-2222-2-222-2-2002-2000000002-22-200002-22-200000000000000000000000000000000002i−2i002i−2i00000000
χ622-22-22-22-2000022-222-2-22-2-2-22-22-2222-2-222-2-2002-2000000002-22-200002-22-20000000000000000000000000000000000−2i2i00−2i2i00000000
χ632-22-22-22-2000022-2-2-2222-2-2-22-22-22-2-222-2-22200-22000000002-22-20000-22-2200000000000000000000000000000000002i−2i00−2i2i00000000
χ642-22-22-22-2000022-2-2-2222-2-2-22-22-22-2-222-2-22200-22000000002-22-20000-22-220000000000000000000000000000000000−2i2i002i−2i00000000
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χ742-2-22-222-2-22-222002-22-200-2-2-22-2222-22-22-22-2000000-22-22-220000000000000000-22-2200000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2
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χ924-44-44-44-40000-2-44-4-444-4422-22-22-222-2-222-2-2004-4000000002-22-20000-22-22000000000000000000000000000000000000000000000000
χ934-44-4-44-44000044-40000-44-444-4-44-4000000000000000000004-4-4400000000000000000000000000000000000000000000000000000000
χ944-44-4-44-4400004-4400004-4-444-4-44-400000000000000000000-444-400000000000000000000000000000000000000000000000000000000
χ954-44-4-44-440000-24-40000-442-2-222-222323−23−23−23−232323000000000000-222-2000023−23−2323000000000000000000000000000000000000000000000000
χ964-44-4-44-440000-24-40000-442-2-222-22−23−2323232323−23−23000000000000-222-20000−232323−23000000000000000000000000000000000000000000000000
χ974-44-4-44-440000-2-4400004-42-2-222-222323−23−23−23−2323230000000000002-2-220000−232323−23000000000000000000000000000000000000000000000000
χ984-44-4-44-440000-2-4400004-42-2-222-22−23−2323232323−23−230000000000002-2-22000023−23−2323000000000000000000000000000000000000000000000000
χ994-4-444-4-444-4-44400000000-44-444-4-400000000000000004-4-44000000000000000000000000000000000000000000000000000000000000
χ1004-4-444-4-444-4-44-2000000002-22-2-22223−2323−23−2323−232300000000-222-2000000000000000023−23−23230000000000000000000000000000000000000000
χ1014-4-444-4-444-4-44-2000000002-22-2-222−2323−232323−2323−2300000000-222-20000000000000000−232323−230000000000000000000000000000000000000000
χ1024-4-444-4-44-444-4400000000-44-444-4-40000000000000000-444-4000000000000000000000000000000000000000000000000000000000000
χ1034-4-444-4-44-444-4-2000000002-22-2-22223−2323−23−2323−2323000000002-2-220000000000000000−232323−230000000000000000000000000000000000000000
χ1044-4-444-4-44-444-4-2000000002-22-2-222−2323−232323−2323−23000000002-2-22000000000000000023−23−23230000000000000000000000000000000000000000
χ1054-4-44-444-44-44-4-2004-44-400222-22-2-2-22-22-22-220000004-4-22-220000000000000000-22-220000000000000000000000000000000000000000
χ1064-4-44-444-44-44-4-200-44-4400222-22-2-22-22-22-22-2000000-44-22-2200000000000000002-22-20000000000000000000000000000000000000000
χ1074-4-44-444-4-44-44-2004-44-400222-22-2-2-22-22-22-22000000-442-22-200000000000000002-22-20000000000000000000000000000000000000000
χ1084-4-44-444-4-44-44-200-44-4400222-22-2-22-22-22-22-20000004-42-22-20000000000000000-22-220000000000000000000000000000000000000000

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