Finite Group Databasebeta

← Group #10845435

Character table — Group #10845435

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444888888888888888888888888242424242424242448484848
order122222223444444446666666121212121212121244888888881212121212121212242424242424242424242424242424244444444412121212121212121212121212121212224488884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111
χ9111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-111-1-11-11-1
χ10111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-11-11
χ11111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-11-111-1-1-11-11
χ12111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-11-11-1-1111-11-1
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-1-1-111-111-1
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1111-1-11-1-11
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-11-1-1-1111-1-11
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-1111-1-1-111-1
χ172222222222222-2-2-2-2222222222222222-2-200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000022-2-200000000
χ182222222222222-2-2-2-2222222222222222-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-22200000000
χ19222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22200000000-2-22222-2-200000000000000000000000000000000000000002-2-2200000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22200000000-2-22222-2-20000000000000000000000000000000000000000-222-200000000
χ2122222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ2322222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-22222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-22222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000
χ2922-22-22-2-2200002-2-222-2-22-22-20000000000000022-2-22-200002-2000000002222-2-2-2-22i−2i00002i−2i2i2i−2i−2i000000002i2i−2i−2i000000000000
χ3022-22-22-2-2200002-2-222-2-22-22-20000000000000022-2-22-200002-2000000002222-2-2-2-2−2i2i0000−2i2i−2i−2i2i2i00000000−2i−2i2i2i000000000000
χ3122-22-22-2-2200002-2-222-2-22-22-200000000000000-2-2222-200002-200000000-2-2-2-222222i−2i0000−2i2i2i2i−2i−2i00000000−2i−2i2i2i000000000000
χ3222-22-22-2-2200002-2-222-2-22-22-200000000000000-2-2222-200002-200000000-2-2-2-22222−2i2i00002i−2i−2i−2i2i2i000000002i2i−2i−2i000000000000
χ3322-22-22-2-2-100002-2-22-111-11-113333−3−3−3−300000022-2-2-1133−3−3-113333−3−3−3−3-1-1-1-111112i−2i00002i−2i−i−iii−i3−i3i3i3−i3−i3i3i3−i−iii000000000000
χ3422-22-22-2-2-100002-2-22-111-11-113333−3−3−3−300000022-2-2-1133−3−3-113333−3−3−3−3-1-1-1-11111−2i2i0000−2i2iii−i−ii3i3−i3−i3i3i3−i3−i3ii−i−i000000000000
χ3522-22-22-2-2-100002-2-22-111-11-113333−3−3−3−3000000-2-222-1133−3−3-11−3−3−3−333331111-1-1-1-12i−2i0000−2i2i−i−iii−i3−i3i3i3i3i3−i3−i3ii−i−i000000000000
χ3622-22-22-2-2-100002-2-22-111-11-113333−3−3−3−3000000-2-222-1133−3−3-11−3−3−3−333331111-1-1-1-1−2i2i00002i−2iii−i−ii3i3−i3−i3−i3−i3i3i3−i−iii000000000000
χ3722-22-22-2-2-100002-2-22-111-11-11−3−3−3−3333300000022-2-2-11−3−333-11−3−3−3−33333-1-1-1-111112i−2i00002i−2i−i−iiii3i3−i3−i3i3i3−i3−i3−i−iii000000000000
χ3822-22-22-2-2-100002-2-22-111-11-11−3−3−3−3333300000022-2-2-11−3−333-11−3−3−3−33333-1-1-1-11111−2i2i0000−2i2iii−i−i−i3−i3i3i3−i3−i3i3i3ii−i−i000000000000
χ3922-22-22-2-2-100002-2-22-111-11-11−3−3−3−33333000000-2-222-11−3−333-113333−3−3−3−31111-1-1-1-12i−2i0000−2i2i−i−iiii3i3−i3−i3−i3−i3i3i3ii−i−i000000000000
χ4022-22-22-2-2-100002-2-22-111-11-11−3−3−3−33333000000-2-222-11−3−333-113333−3−3−3−31111-1-1-1-1−2i2i00002i−2iii−i−i−i3−i3i3i3i3i3−i3−i3−i−iii000000000000
χ412-22-2-22-22222-2-222-2-2-2-22-2-22222-2-222-2-22-22i2i−2i−2i2i−2i2i−2i222-22-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ422-22-2-22-22222-2-222-2-2-2-22-2-22222-2-222-2-22-2−2i−2i2i2i−2i2i−2i2i222-22-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000
χ432-22-2-22-22222-2-2-2-222-2-22-2-22222-2-222-2-2-2200000000-2-2-22-2222000000000000000000000000000000000000000000002-22-20000
χ442-22-2-22-22222-2-2-2-222-2-22-2-22222-2-222-2-2-2200000000-2-2-22-222200000000000000000000000000000000000000000000-22-220000
χ452-22-2-22-222-2-22222-2-2-2-22-2-222-2-222-2-222-222i2i−2i−2i−2i2i−2i2i22-22-22-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000
χ462-22-2-22-222-2-22222-2-2-2-22-2-222-2-222-2-222-22−2i−2i2i2i2i−2i2i−2i22-22-22-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ472-22-2-22-222-2-222-2-222-2-22-2-222-2-222-2-2222-200000000-2-22-22-222000000000000000000000000000000000000000000002-2-220000
χ482-22-2-22-222-2-222-2-222-2-22-2-222-2-222-2-2222-200000000-2-22-22-22200000000000000000000000000000000000000000000-222-20000
χ492-22-2-22-22-122-2-222-2-211-111-1-1-1-111-1-1112-22i2i−2i−2i2i−2i2i−2i-1-1-11-1111−i−iii−i−iii−i−iii−i−iii000000003−33−33−33−3−i3i3−i3i3−i3i3−i3i3000000000000
χ502-22-2-22-22-122-2-222-2-211-111-1-1-1-111-1-1112-22i2i−2i−2i2i−2i2i−2i-1-1-11-1111−i−iii−i−iii−i−iii−i−iii00000000−33−33−33−33i3−i3i3−i3i3−i3i3−i3000000000000
χ512-22-2-22-22-122-2-222-2-211-111-1-1-1-111-1-1112-2−2i−2i2i2i−2i2i−2i2i-1-1-11-1111ii−i−iii−i−iii−i−iii−i−i000000003−33−33−33−3i3−i3i3−i3i3−i3i3−i3000000000000
χ522-22-2-22-22-122-2-222-2-211-111-1-1-1-111-1-1112-2−2i−2i2i2i−2i2i−2i2i-1-1-11-1111ii−i−iii−i−iii−i−iii−i−i00000000−33−33−33−33−i3i3−i3i3−i3i3−i3i3000000000000
χ532-22-2-22-22-1-2-22222-2-211-111-1-111-1-111-1-1-222i2i−2i−2i−2i2i−2i2i-1-11-11-111−i−iii−i−iiiii−i−iii−i−i000000003−33−3−33−33−i3i3−i3i3i3−i3i3−i3000000000000
χ542-22-2-22-22-1-2-22222-2-211-111-1-111-1-111-1-1-222i2i−2i−2i−2i2i−2i2i-1-11-11-111−i−iii−i−iiiii−i−iii−i−i00000000−33−333−33−3i3−i3i3−i3−i3i3−i3i3000000000000
χ552-22-2-22-22-1-2-22222-2-211-111-1-111-1-111-1-1-22−2i−2i2i2i2i−2i2i−2i-1-11-11-111ii−i−iii−i−i−i−iii−i−iii000000003−33−3−33−33i3−i3i3−i3−i3i3−i3i3000000000000
χ562-22-2-22-22-1-2-22222-2-211-111-1-111-1-111-1-1-22−2i−2i2i2i2i−2i2i−2i-1-11-11-111ii−i−iii−i−i−i−iii−i−iii00000000−33−333−33−3−i3i3−i3i3i3−i3i3−i3000000000000
χ572-2-2-2222-2200002-22-2-22-2-222-2000000000000002i−2i−2i2i2-20000-22000000002i2i−2i−2i−2i−2i2i2i002i−2i2-20000002i−2i−2i2i2-2-220000000000000000
χ582-2-2-2222-2200002-22-2-22-2-222-2000000000000002i−2i−2i2i2-20000-22000000002i2i−2i−2i−2i−2i2i2i00−2i2i-22000000−2i2i2i−2i-222-20000000000000000
χ592-2-2-2222-2200002-22-2-22-2-222-200000000000000−2i2i2i−2i2-20000-2200000000−2i−2i2i2i2i2i−2i−2i002i−2i-220000002i−2i−2i2i-222-20000000000000000
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χ612-2-2-2222-2-100002-22-21-111-1-1133−3−3−3−3330000002i−2i−2i2i-113−3−331-1i3i3−i3−i3−i3−i3i3i3−i−iiiii−i−i002i−2i2-200i3−i3−i3i3−iii−i-111-13−3−33000000000000
χ622-2-2-2222-2-100002-22-21-111-1-1133−3−3−3−3330000002i−2i−2i2i-113−3−331-1i3i3−i3−i3−i3−i3i3i3−i−iiiii−i−i00−2i2i-2200−i3i3i3−i3i−i−ii1-1-11−333−3000000000000
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χ642-2-2-2222-2-100002-22-21-111-1-1133−3−3−3−333000000−2i2i2i−2i-113−3−331-1−i3−i3i3i3i3i3−i3−i3ii−i−i−i−iii00−2i2i2-200−i3i3i3−i3i−i−ii-111-13−3−33000000000000
χ652-2-2-2222-2-100002-22-21-111-1-11−3−33333−3−30000002i−2i−2i2i-11−333−31-1−i3−i3i3i3i3i3−i3−i3−i−iiiii−i−i002i−2i2-200−i3i3i3−i3−iii−i-111-1−333−3000000000000
χ662-2-2-2222-2-100002-22-21-111-1-11−3−33333−3−30000002i−2i−2i2i-11−333−31-1−i3−i3i3i3i3i3−i3−i3−i−iiiii−i−i00−2i2i-2200i3−i3−i3i3i−i−ii1-1-113−3−33000000000000
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χ682-2-2-2222-2-100002-22-21-111-1-11−3−33333−3−3000000−2i2i2i−2i-11−333−31-1i3i3−i3−i3−i3−i3i3i3ii−i−i−i−iii00−2i2i2-200i3−i3−i3i3i−i−ii-111-1−333−3000000000000
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χ864-4444-4-4-444-4-440000-4-4444-4-44-4-444-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ874-4444-4-4-44-444-40000-4-4444-4-4-444-4-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ884-4444-4-4-4-24-4-44000022-2-2-222-222-2-222-20000000000000000006−6−666−6−666−6−666−6−66000000000000000000000000000000000000
χ894-4444-4-4-4-24-4-44000022-2-2-222-222-2-222-2000000000000000000−666−6−666−6−666−6−666−6000000000000000000000000000000000000
χ904-4444-4-4-4-2-444-4000022-2-2-2222-2-222-2-220000000000000000006−6−666−6−66−666−6−666−6000000000000000000000000000000000000
χ914-4444-4-4-4-2-444-4000022-2-2-2222-2-222-2-22000000000000000000−666−6−666−66−6−666−6−66000000000000000000000000000000000000
χ924-44-4-44-44-244-4-4-4-44422-222-2-2-2-222-2-222-4400000000222-22-2-2-20000000000000000000000000000000000000000000000000000
χ934-44-4-44-44-2-4-444-4-44422-222-2-222-2-222-2-24-40000000022-22-22-2-20000000000000000000000000000000000000000000000000000
χ944-4-44-4-444400000000-44-44-4-44000000000022−22−222200000000000022−22−2222−222222−2200000000000000000000000000000000000000000000
χ954-4-44-4-444400000000-44-44-4-440000000000−222222−22000000000000−222222−2222−22−222200000000000000000000000000000000000000000000
χ964-4-44-4-444-2000000002-22-222-223−23−2323−232323−230022−22−2222000000000000−222−22−2−22−666−66−6−66000000000000000000000000000000000000
χ974-4-44-4-444-2000000002-22-222-223−23−2323−232323−2300−222222−220000000000002−2−22−222−26−6−66−666−6000000000000000000000000000000000000
χ984-4-44-4-444-2000000002-22-222-2−232323−2323−23−23230022−22−2222000000000000−222−22−2−226−6−66−666−6000000000000000000000000000000000000
χ994-4-44-4-444-2000000002-22-222-2−232323−2323−23−232300−222222−220000000000002−2−22−222−2−666−66−6−66000000000000000000000000000000000000
χ1004-4-4-4444-440000-44-44-44-4-444-4000000000000000000-4400004-40000000000000000000000000000000000000000000000000000
χ1014-4-4-4444-4-20000-44-442-222-2-222323−23−23−23−23232300000000002-2−232323−23-220000000000000000000000000000000000000000000000000000
χ1024-4-4-4444-4-20000-44-442-222-2-22−23−2323232323−23−2300000000002-223−23−2323-220000000000000000000000000000000000000000000000000000

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