Finite Group Databasebeta

← Group #10853303

Character table — Group #10853303

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222244444444444444444444444444444444444444888888888888888888888812121212242424242424242424244848
order122222223444444446666666121212121212121244444488888888121212121212121224242424242424242424242424242424444444121212121212121212121212121212124444444444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111
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
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ9111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11-111-1-111-1-11-1
χ10111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-11-1-111-1-111-11
χ11111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-11-111-1-1-1-111-11
χ12111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-11-1-11111-1-11-1
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-1-11111-1-1-11
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1111-1-1-1-1111-1
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1111111-1-11-1-1-111-1-1111-1
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1111-1-111-1-1-11
χ172222222222222-2-2-2-2222222222222222-2-2000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000002222-2-20000000000
χ182222222222222-2-2-2-2222222222222222-2-2000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000-2-2-2-2220000000000
χ19222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222000000000000-2-22222-2-20000000000000000000000000000000000000022-2-2-220000000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222000000000000-2-22222-2-200000000000000000000000000000000000000-2-2222-20000000000
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χ2222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-2-211111111-1-1-1-1-1-1-1-10000000000000000
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
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-22222-1-1-1-1-1-1-1-1111111110000000000000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-222222222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-2-2-222-1-1-1-11111-1-1-1-111110000000000000000
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χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-2-2-22222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-1111111112222-2-21111-1-1-1-11111-1-1-1-10000000000000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-122-2-222-1-1-1-111111111-1-1-1-10000000000000000
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χ412-2222-2-2-2222-2-222-2-2-2-22-2-22222-2-222-2-22-22-22-200000000222-22-2-2-200000000000000002-20000000000002-22-22-22-20000000000000000
χ422-2222-2-2-2222-2-222-2-2-2-22-2-22222-2-222-2-22-2-22-2200000000222-22-2-2-20000000000000000-22000000000000-22-22-22-220000000000000000
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χ462-2222-2-2-22-2-22222-2-2-2-22-2-222-2-222-2-222-22-22-220000000022-22-22-2-200000000000000002-2000000000000-22-222-22-20000000000000000
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χ522-2222-2-2-2-122-2-222-2-211-111-1-1-1-111-1-1112-2-22-2200000000-1-1-11-1111−3−333−3−333−3−333−3−333-2200003−33−33−33−31-11-11-11-10000000000000000
χ532-2222-2-2-2-1-2-22222-2-211-111-1-111-1-111-1-1-222-22-200000000-1-11-11-11133−3−333−3−3−3−333−3−333-2200003−33−3−33−33-11-111-11-10000000000000000
χ542-2222-2-2-2-1-2-22222-2-211-111-1-111-1-111-1-1-222-22-200000000-1-11-11-111−3−333−3−33333−3−333−3−3-220000−33−333−33−3-11-111-11-10000000000000000
χ552-2222-2-2-2-1-2-22222-2-211-111-1-111-1-111-1-1-22-22-2200000000-1-11-11-11133−3−333−3−3−3−333−3−3332-20000−33−333−33−31-11-1-11-110000000000000000
χ562-2222-2-2-2-1-2-22222-2-211-111-1-111-1-111-1-1-22-22-2200000000-1-11-11-111−3−333−3−33333−3−333−3−32-200003−33−3−33−331-11-1-11-110000000000000000
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χ80444-4-4-4-444-444-40000444-4-4-4-4-444-4-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ81444-4-4-4-44-24-4-440000-2-2-22222-222-2-222-20000000000000000000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000000000
χ82444-4-4-4-44-24-4-440000-2-2-22222-222-2-222-20000000000000000000000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000000000
χ83444-4-4-4-44-2-444-40000-2-2-222222-2-222-2-220000000000000000000000i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000000000
χ84444-4-4-4-44-2-444-40000-2-2-222222-2-222-2-220000000000000000000000−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000000000
χ8544-44-4-44-440000-444-44-4-44-44-40000000000000000000000-440000-44000000000000000000000000000000000000000000000000000000
χ8644-44-4-44-4-20000-444-4-222-22-2223232323−23−23−23−23000000000000002-2−23−2323232-2000000000000000000000000000000000000000000000000000000
χ8744-44-4-44-4-20000-444-4-222-22-22−23−23−23−2323232323000000000000002-22323−23−232-2000000000000000000000000000000000000000000000000000000
χ8844-4-444-4-44000000004-4-4-44-4400000000000000000022−22−2222000000000000000022−22−2222−222222−2200000000000000000000000000000000000000
χ8944-4-444-4-44000000004-4-4-44-44000000000000000000−222222−220000000000000000−222222−2222−22−222200000000000000000000000000000000000000
χ9044-4-444-4-4-200000000-2222-22-223−23−2323−232323−23000000000022−22−2222000000006−6−66−666−6−222−22−2−2200000000000000000000000000000000000000
χ9144-4-444-4-4-200000000-2222-22-223−23−2323−232323−230000000000−222222−2200000000−666−66−6−662−2−22−222−200000000000000000000000000000000000000
χ9244-4-444-4-4-200000000-2222-22-2−232323−2323−23−2323000000000022−22−222200000000−666−66−6−66−222−22−2−2200000000000000000000000000000000000000
χ9344-4-444-4-4-200000000-2222-22-2−232323−2323−23−23230000000000−222222−22000000006−6−66−666−62−2−22−222−200000000000000000000000000000000000000
χ944-4444-4-4-4-244-4-4-4-44422-222-2-2-2-222-2-222-44000000000000222-22-2-2-2000000000000000000000000000000000000000000000000000000
χ954-4444-4-4-4-2-4-444-4-44422-222-2-222-2-222-2-24-400000000000022-22-22-2-2000000000000000000000000000000000000000000000000000000
χ964-44-4-444-4-24-44-4000022-2-2-222-22-22-22-22000000−2i22i2−2i22i2−2i2−2i22i22i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000000000
χ974-44-4-444-4-24-44-4000022-2-2-222-22-22-22-220000002i2−2i22i2−2i22i22i2−2i2−2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000000000
χ984-44-4-444-4-2-44-44000022-2-2-2222-22-22-22-2000000−2i22i2−2i22i22i22i2−2i2−2i200000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000000000
χ994-44-4-444-4-2-44-44000022-2-2-2222-22-22-22-20000002i2−2i22i2−2i2−2i2−2i22i22i200000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000000000
χ1004-4-44-44-4440000-44-44-44-4-444-40000000000000000000000-4400004-4000000000000000000000000000000000000000000000000000000
χ1014-4-44-44-44-20000-44-442-222-2-222323−23−23−23−232323000000000000002-2−232323−23-22000000000000000000000000000000000000000000000000000000
χ1024-4-44-44-44-20000-44-442-222-2-22−23−2323232323−23−23000000000000002-223−23−2323-22000000000000000000000000000000000000000000000000000000
χ1034-4-4-44-444400000000-44-44-4-440000000000000022−22−222200000000000022−2222−22−2222−22220000000000000000000000000000000000000000000000
χ1044-4-4-44-444400000000-44-44-4-4400000000000000−222222−22000000000000−2222−222222−2222−220000000000000000000000000000000000000000000000
χ1054-4-4-44-444-2000000002-22-222-223−2323−23−2323−232300000022−22−2222000000000000−22−222−22−2−66−666−66−600000000000000000000000000000000000000
χ1064-4-4-44-444-2000000002-22-222-223−2323−23−2323−2323000000−222222−220000000000002−22−2−22−226−66−6−66−6600000000000000000000000000000000000000
χ1074-4-4-44-444-2000000002-22-222-2−2323−232323−2323−2300000022−22−2222000000000000−22−222−22−26−66−6−66−6600000000000000000000000000000000000000
χ1084-4-4-44-444-2000000002-22-222-2−2323−232323−2323−23000000−222222−220000000000002−22−2−22−22−66−666−66−600000000000000000000000000000000000000

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