Finite Group Databasebeta

← Group #10868024

Character table — Group #10868024

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222244444444444444444444444444444444444444888888888888888888888812121212242424242424242424244848
order122222223444444446666666121212121212121244444488888888121212121212121224242424242424242424242424242424444444121212121212121212121212121212124444244444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ91111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-11-1-11111-1-1-11
χ101111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111-111-1-1-1-1111-1
χ111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-11-1-111-1-1111-1
χ121111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111-111-1-111-1-1-11
χ131111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1111-1-111-1-11-1
χ141111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1111-1-1-111-1-111-11
χ151111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1111-1-1-1-111-11
χ161111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1111-1-1-11111-1-11-1
χ17222222222-22222-2-2-2222222222222222-2-2000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000002222-2-20000000000
χ18222222222-22222-2-2-2222222222222222-2-2000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000-2-2-2-2220000000000
χ19222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222000000000000-2-22222-2-20000000000000000000000000000000000000022-2-22-20000000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222000000000000-2-22222-2-200000000000000000000000000000000000000-2-222-220000000000
χ2122222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222-2-211111111-1-1-1-1-1-1-1-10000000000000000
χ2322222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111110000000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-222-1-1-1-1-1-1-1-1111111110000000000000000
χ2522222222-12-2-2-2-2222-1-1-1-1-1-1-111111111-2-222222222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-11111111122-2-2-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ2622222222-12-2-2-2-2222-1-1-1-1-1-1-111111111-2-22222-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-2-2-2221111-1-1-1-1-1-1-1-111110000000000000000
χ2722222222-12-2-2-2-2222-1-1-1-1-1-1-111111111-2-2-2-2-2-22222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-222221111-1-1-1-11111-1-1-1-10000000000000000
χ2822222222-12-2-2-2-2222-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-12222-2-2-1-1-1-111111111-1-1-1-10000000000000000
χ292222-2-2-2-22-20000-2222-2-22-22-200000000002i2i−2i−2i000022-2-22-200002-2000000002222-2-2-2-200002i−2i00002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ302222-2-2-2-22-20000-2222-2-22-22-200000000002i2i−2i−2i0000-2-2222-200002-200000000-2-2-2-222220000−2i2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ312222-2-2-2-22-20000-2222-2-22-22-20000000000−2i−2i2i2i000022-2-22-200002-2000000002222-2-2-2-20000−2i2i0000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ322222-2-2-2-22-20000-2222-2-22-22-20000000000−2i−2i2i2i0000-2-2222-200002-200000000-2-2-2-2222200002i−2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000
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χ362222-2-2-2-2-1-20000-222-111-11-113333−3−3−3−300−2i−2i2i2i0000-2-222-1133−3−3-11−3−3−3−333331111-1-1-1-100002i−2i−i3−i3i3i3−i−iiiii−i−ii3i3−i3−i30000000000000000
χ372222-2-2-2-2-1-20000-222-111-11-11−3−3−3−33333002i2i−2i−2i000022-2-2-11−3−333-11−3−3−3−33333-1-1-1-1111100002i−2ii3i3−i3−i3−i−iii−i−iiii3i3−i3−i30000000000000000
χ382222-2-2-2-2-1-20000-222-111-11-11−3−3−3−33333002i2i−2i−2i0000-2-222-11−3−333-113333−3−3−3−31111-1-1-1-10000−2i2i−i3−i3i3i3ii−i−i−i−iiii3i3−i3−i30000000000000000
χ392222-2-2-2-2-1-20000-222-111-11-11−3−3−3−3333300−2i−2i2i2i000022-2-2-11−3−333-11−3−3−3−33333-1-1-1-111110000−2i2i−i3−i3i3i3ii−i−iii−i−i−i3−i3i3i30000000000000000
χ402222-2-2-2-2-1-20000-222-111-11-11−3−3−3−3333300−2i−2i2i2i0000-2-222-11−3−333-113333−3−3−3−31111-1-1-1-100002i−2ii3i3−i3−i3−i−iiiii−i−i−i3−i3i3i30000000000000000
χ412-22-2-222-22022-2-2000-2-2222-2-222-2-222-2-2000000−i2−i2i2i2−i2i2−i2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000002i−2i2i−2i0000002−22−200
χ422-22-2-222-22022-2-2000-2-2222-2-222-2-222-2-2000000−i2−i2i2i2−i2i2−i2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000000000−2i2i−2i2i000000−22−2200
χ432-22-2-222-22022-2-2000-2-2222-2-222-2-222-2-2000000i2i2−i2−i2i2−i2i2−i200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000002i−2i2i−2i000000−22−2200
χ442-22-2-222-22022-2-2000-2-2222-2-222-2-222-2-2000000i2i2−i2−i2i2−i2i2−i200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000000000−2i2i−2i2i0000002−22−200
χ452-22-2-222-220-2-222000-2-2222-2-2-2-222-2-222000000−i2−i2i2i2i2−i2i2−i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000002i−2i−2i2i0000002−2−2200
χ462-22-2-222-220-2-222000-2-2222-2-2-2-222-2-222000000−i2−i2i2i2i2−i2i2−i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000000000−2i2i2i−2i000000−222−200
χ472-22-2-222-220-2-222000-2-2222-2-2-2-222-2-222000000i2i2−i2−i2−i2i2−i2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000002i−2i−2i2i000000−222−200
χ482-22-2-222-220-2-222000-2-2222-2-2-2-222-2-222000000i2i2−i2−i2−i2i2−i2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000000000−2i2i2i−2i0000002−2−2200
χ492-2-222-22-2222i−2i2i−2i-2-22-22-2-222-22i−2i2i−2i2i−2i2i−2i2i−2i000000000000-222i−2i2i−2i2-2000000000000000000000000000000000000000000002i−2i2-2000000
χ502-2-222-22-2222i−2i2i−2i-2-22-22-2-222-22i−2i2i−2i2i−2i2i−2i2i−2i000000000000-222i−2i2i−2i2-200000000000000000000000000000000000000000000−2i2i-22000000
χ512-2-222-22-222−2i2i−2i2i-2-22-22-2-222-2−2i2i−2i2i−2i2i−2i2i−2i2i000000000000-22−2i2i−2i2i2-2000000000000000000000000000000000000000000002i−2i-22000000
χ522-2-222-22-222−2i2i−2i2i-2-22-22-2-222-2−2i2i−2i2i−2i2i−2i2i−2i2i000000000000-22−2i2i−2i2i2-200000000000000000000000000000000000000000000−2i2i2-2000000
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χ552-2-222-22-22-2−2i2i−2i2i22-2-22-2-222-2−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i000000002-22i−2i2i−2i-22000000000000000000-2200000000002i−2i2i−2i-22-220000000000000000
χ562-2-222-22-22-2−2i2i−2i2i22-2-22-2-222-2−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i−2i2i000000002-22i−2i2i−2i-220000000000000000002-20000000000−2i2i−2i2i2-22-20000000000000000
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χ652-2-22-22-22220000-22-2-2-22-2-22200000000002-2-222i−2i2i−2i0000220000-2-22i−2i2i−2i−2i2i−2i2i000000002i−2i0000−2i2i2i−2i00002-2-2200000000000000000000
χ662-2-22-22-22220000-22-2-2-22-2-22200000000002-2-22−2i2i−2i2i0000220000-2-2−2i2i−2i2i2i−2i2i−2i00000000−2i2i00002i−2i−2i2i00002-2-2200000000000000000000
χ672-2-22-22-22220000-22-2-2-22-2-2220000000000-222-22i−2i2i−2i0000220000-2-22i−2i2i−2i−2i2i−2i2i00000000−2i2i00002i−2i−2i2i0000-222-200000000000000000000
χ682-2-22-22-22220000-22-2-2-22-2-2220000000000-222-2−2i2i−2i2i0000220000-2-2−2i2i−2i2i2i−2i2i−2i000000002i−2i0000−2i2i2i−2i0000-222-200000000000000000000
χ692-2-22-22-22-120000-22-211-111-1-1−i3i3−i3i3i3−i3i3−i3002-2-222i−2i2i−2i0000-1-1i3−i3−i3i311−ii−iii−ii−i−33−333−33−32i−2i0000i−i−ii3−3−33-111-1−i3i3i3−i30000000000000000
χ702-2-22-22-22-120000-22-211-111-1-1−i3i3−i3i3i3−i3i3−i3002-2-22−2i2i−2i2i0000-1-1i3−i3−i3i311i−ii−i−ii−ii3−33−3−33−33−2i2i0000−iii−i−333−3-111-1−i3i3i3−i30000000000000000
χ712-2-22-22-22-120000-22-211-111-1-1−i3i3−i3i3i3−i3i3−i300-222-22i−2i2i−2i0000-1-1i3−i3−i3i311−ii−iii−ii−i−33−333−33−3−2i2i0000−iii−i−333−31-1-11i3−i3−i3i30000000000000000
χ722-2-22-22-22-120000-22-211-111-1-1−i3i3−i3i3i3−i3i3−i300-222-2−2i2i−2i2i0000-1-1i3−i3−i3i311i−ii−i−ii−ii3−33−3−33−332i−2i0000i−i−ii3−3−331-1-11i3−i3−i3i30000000000000000
χ732-2-22-22-22-120000-22-211-111-1-1i3−i3i3−i3−i3i3−i3i3002-2-222i−2i2i−2i0000-1-1−i3i3i3−i311−ii−iii−ii−i3−33−3−33−332i−2i0000i−i−ii−333−3-111-1i3−i3−i3i30000000000000000
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χ7844444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2222222224400000000000022-2-2-2-222000000000000000000000000000000000000000000000000000000
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χ8244-4-444-4-4400000000444-4-4-4-40000000000000022−22−222200000000000022−22−2222−222222−220000000000000000000000000000000000000000000000
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χ8844-4-4-4-444404i−4i−4i4i0004-4-4-44-444i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ8944-4-4-4-44440−4i4i4i−4i0004-4-4-44-44−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ9044-4-4-4-444-204i−4i−4i4i000-2222-22-2−2i2i2i−2i−2i2i2i−2i00000000000000000000006−6−666−6−66i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000000000
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χ944-44-44-4-44400000000-44-44-4-44000000000000000000−2i22i22i2−2i20000000000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000000000
χ954-44-44-4-44400000000-44-44-4-440000000000000000002i2−2i2−2i22i200000000000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000000000
χ964-44-44-4-44-2000000002-22-222-22323−23−23−23−2323230000000000−2i22i22i2−2i200000000−i6−i6i6i6i6i6−i6−i6i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000000000
χ974-44-44-4-44-2000000002-22-222-22323−23−23−23−23232300000000002i2−2i2−2i22i200000000i6i6−i6−i6−i6−i6i6i6−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000000000
χ984-44-44-4-44-2000000002-22-222-2−23−2323232323−23−230000000000−2i22i22i2−2i200000000i6i6−i6−i6−i6−i6i6i6i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000000000
χ994-44-44-4-44-2000000002-22-222-2−23−2323232323−23−2300000000002i2−2i2−2i22i200000000−i6−i6i6i6i6i6−i6−i6−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000000000
χ1004-44-4-444-4-2044-4-400022-2-2-222-2-222-2-222000000−2i2−2i22i22i2−2i22i2−2i22i200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000000000
χ1014-44-4-444-4-2044-4-400022-2-2-222-2-222-2-2220000002i22i2−2i2−2i22i2−2i22i2−2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000000000
χ1024-44-4-444-4-20-4-44400022-2-2-22222-2-222-2-2000000−2i2−2i22i22i22i2−2i22i2−2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000000000
χ1034-44-4-444-4-20-4-44400022-2-2-22222-2-222-2-20000002i22i2−2i2−2i2−2i22i2−2i22i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000000000
χ1044-4-444-44-4-244i−4i4i−4i-4-442-222-2-22−2i2i−2i2i−2i2i−2i2i4i−4i0000000000002-2−2i2i−2i2i-22000000000000000000000000000000000000000000000000000000
χ1054-4-444-44-4-24−4i4i−4i4i-4-442-222-2-222i−2i2i−2i2i−2i2i−2i−4i4i0000000000002-22i−2i2i−2i-22000000000000000000000000000000000000000000000000000000
χ1064-4-44-44-444-400004-44-4-44-4-4440000000000000000000000-4-4000044000000000000000000000000000000000000000000000000000000
χ1074-4-44-44-44-2-400004-4422-222-2-2−2i32i3−2i32i32i3−2i32i3−2i30000000000000022−2i32i32i3−2i3-2-2000000000000000000000000000000000000000000000000000000
χ1084-4-44-44-44-2-400004-4422-222-2-22i3−2i32i3−2i3−2i32i3−2i32i300000000000000222i3−2i3−2i32i3-2-2000000000000000000000000000000000000000000000000000000

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