Finite Group Databasebeta

← Group #10740348

Character table — Group #10740348

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111111111112222222222222222444444444444444444444444444444444444444488888888888888888888881212121212121212242424242424242424242424
order1222222222222222366666666666666644444444444444441212121212121212121212121212121212121212121212124444441212121212121212121212121212121244444444224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ41111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ5111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-11111
χ911111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ1011111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ172222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ182222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111100000000000000000000
χ192222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ202222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ212222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-222-2-2-1-1-1-11111-1-1-1-1111100000000000000000000
χ222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-11111111122-2-2221111-1-1-1-11111-1-1-1-100000000000000000000
χ232222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222221111111111111111-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-111111111-1-1-1-100000000000000000000
χ242222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-12222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ252222-2-2-2222-2-2-2-2-2222222-2-2-2-2222-2-2-2-200002i2i−2i−2i00000000000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000000002i2i−2i−2i0000000000002-200
χ262222-2-2-2222-2-2-2-2-2222222-2-2-2-2222-2-2-2-200002i2i−2i−2i00000000000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000000000−2i−2i2i2i000000000000-2200
χ272222-2-2-2222-2-2-2-2-2222222-2-2-2-2222-2-2-2-20000−2i−2i2i2i0000000000000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000002i2i−2i−2i000000000000-2200
χ282222-2-2-2222-2-2-2-2-2222222-2-2-2-2222-2-2-2-20000−2i−2i2i2i0000000000000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000−2i−2i2i2i0000000000002-200
χ29222-22-2-22-2-22-22-22-2222-2-222-2-22-2-222-2-20000000000002i2i−2i−2i00000000000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000002i2i−2i−2i2-20000000000
χ30222-22-2-22-2-22-22-22-2222-2-222-2-22-2-222-2-20000000000002i2i−2i−2i00000000000000002i2i2i2i−2i−2i−2i−2i00000000000000000000000000−2i−2i2i2i-220000000000
χ31222-22-2-22-2-22-22-22-2222-2-222-2-22-2-222-2-2000000000000−2i−2i2i2i0000000000000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000002i2i−2i−2i-220000000000
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χ3322-22-22-2-22-22-2-222-222-22-22-22-2-22-22-22-222-2-200002i2i−2i−2i00002222-2-2-2-200000000000000002i−2i00002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ3422-22-22-2-22-22-2-222-222-22-22-22-2-22-22-22-222-2-20000−2i−2i2i2i00002222-2-2-2-20000000000000000−2i2i0000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ3522-22-22-2-22-22-2-222-222-22-22-22-2-22-22-22-2-2-22200002i2i−2i−2i0000-2-2-2-222220000000000000000−2i2i00002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ3622-22-22-2-22-22-2-222-222-22-22-22-2-22-22-22-2-2-2220000−2i−2i2i2i0000-2-2-2-2222200000000000000002i−2i0000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ3722-22-22-2-22-22-2-222-2-1-11-11-11-111-11-11-1122-2-200002i2i−2i−2i0000-1-1-1-11111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32i−2i0000−i−iii−i−iii33−3−333−3−300000000000000000000
χ3822-22-22-2-22-22-2-222-2-1-11-11-11-111-11-11-1122-2-200002i2i−2i−2i0000-1-1-1-11111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32i−2i0000−i−iii−i−iii−3−333−3−33300000000000000000000
χ3922-22-22-2-22-22-2-222-2-1-11-11-11-111-11-11-1122-2-20000−2i−2i2i2i0000-1-1-1-11111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−2i2i0000ii−i−iii−i−i−3−333−3−33300000000000000000000
χ4022-22-22-2-22-22-2-222-2-1-11-11-11-111-11-11-1122-2-20000−2i−2i2i2i0000-1-1-1-11111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−2i2i0000ii−i−iii−i−i33−3−333−3−300000000000000000000
χ4122-22-22-2-22-22-2-222-2-1-11-11-11-111-11-11-11-2-22200002i2i−2i−2i00001111-1-1-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−2i2i0000−i−iiiii−i−i33−3−3−3−33300000000000000000000
χ4222-22-22-2-22-22-2-222-2-1-11-11-11-111-11-11-11-2-22200002i2i−2i−2i00001111-1-1-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3−2i2i0000−i−iiiii−i−i−3−33333−3−300000000000000000000
χ4322-22-22-2-22-22-2-222-2-1-11-11-11-111-11-11-11-2-2220000−2i−2i2i2i00001111-1-1-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i32i−2i0000ii−i−i−i−iii−3−33333−3−300000000000000000000
χ4422-22-22-2-22-22-2-222-2-1-11-11-11-111-11-11-11-2-2220000−2i−2i2i2i00001111-1-1-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i32i−2i0000ii−i−i−i−iii33−3−3−3−33300000000000000000000
χ452-222-2-2-2-2-2-2-2222222-22222-2-2-2-2-2-2-2222000000002-22-22-22-200000000000000002-22-22-22-200002-22-22-2000000002-22-200000000000000000000
χ462-222-2-2-2-2-2-2-2222222-22222-2-2-2-2-2-2-2222000000002-22-2-22-220000000000000000-22-22-22-220000-222-22-200000000-22-2200000000000000000000
χ472-222-2-2-2-2-2-2-2222222-22222-2-2-2-2-2-2-222200000000-22-222-22-200000000000000002-22-22-22-20000-22-22-2200000000-22-2200000000000000000000
χ482-222-2-2-2-2-2-2-2222222-22222-2-2-2-2-2-2-222200000000-22-22-22-220000000000000000-22-22-22-2200002-2-22-22000000002-22-200000000000000000000
χ492-222-2-2-2-2-2-2-222222-11-1-1-1-11111111-1-1-1000000002-22-22-22-233−3−333−3−33−33−33−33−3-11-11-11-1100002-2-11-113−33−33−33−3-11-1100000000000000000000
χ502-222-2-2-2-2-2-2-222222-11-1-1-1-11111111-1-1-1000000002-22-22-22-2−3−333−3−333−33−33−33−33-11-11-11-1100002-2-11-11−33−33−33−33-11-1100000000000000000000
χ512-222-2-2-2-2-2-2-222222-11-1-1-1-11111111-1-1-1000000002-22-2-22-2233−3−333−3−3−33−33−33−331-11-11-11-10000-22-11-113−33−3−33−331-11-100000000000000000000
χ522-222-2-2-2-2-2-2-222222-11-1-1-1-11111111-1-1-1000000002-22-2-22-22−3−333−3−3333−33−33−33−31-11-11-11-10000-22-11-11−33−333−33−31-11-100000000000000000000
χ532-222-2-2-2-2-2-2-222222-11-1-1-1-11111111-1-1-100000000-22-222-22-233−3−333−3−33−33−33−33−3-11-11-11-110000-221-11-1−33−33−33−331-11-100000000000000000000
χ542-222-2-2-2-2-2-2-222222-11-1-1-1-11111111-1-1-100000000-22-222-22-2−3−333−3−333−33−33−33−33-11-11-11-110000-221-11-13−33−33−33−31-11-100000000000000000000
χ552-222-2-2-2-2-2-2-222222-11-1-1-1-11111111-1-1-100000000-22-22-22-2233−3−333−3−3−33−33−33−331-11-11-11-100002-21-11-1−33−333−33−3-11-1100000000000000000000
χ562-222-2-2-2-2-2-2-222222-11-1-1-1-11111111-1-1-100000000-22-22-22-22−3−333−3−3333−33−33−33−31-11-11-11-100002-21-11-13−33−3−33−33-11-1100000000000000000000
χ572-22-22-2-2-22222-22-2-22-22-2-2-22-2-2-2222-2222-22-20000000000002-22-22-22-2000000000000000000000000000000000000002i−2i2i−2i00000000002i−2i0000
χ582-22-22-2-2-22222-22-2-22-22-2-2-22-2-2-2222-2222-22-20000000000002-22-22-22-200000000000000000000000000000000000000−2i2i−2i2i0000000000−2i2i0000
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χ602-22-22-2-2-22222-22-2-22-22-2-2-22-2-2-2222-222-22-22000000000000-22-22-22-2200000000000000000000000000000000000000−2i2i−2i2i00000000002i−2i0000
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χ622-22-2-222-222-2-22-22-22-22-2-22-222-222-22-2-20000000000002i−2i−2i2i00000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000-222-200000000000000−2i2i
χ632-22-2-222-222-2-22-22-22-22-2-22-222-222-22-2-2000000000000−2i2i2i−2i0000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000002-2-2200000000000000−2i2i
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χ742-2-222-222-22-2-2-222-2-111-11-1-11-1-11-111-110000−2i2i−2i2i2i−2i−2i2i0000−3−33333−3−3i−i−iii−i−ii−i3i3i3−i3−i3i3i3−i300-2200−iii−i−i3i3i3−i3-111-13−3−3300000000000000000000
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χ772-2-22-22-22-22222-2-2-22-2-22-2-2-22-22-2222-2200002-2-2200000000000000002-2-22-222-200000000000000000000000000000000002i−2i2i−2i00002i−2i000000
χ782-2-22-22-22-22222-2-2-22-2-22-2-2-22-22-2222-2200002-2-2200000000000000002-2-22-222-20000000000000000000000000000000000−2i2i−2i2i0000−2i2i000000
χ792-2-22-22-22-22222-2-2-22-2-22-2-2-22-22-2222-220000-222-20000000000000000-222-22-2-2200000000000000000000000000000000002i−2i2i−2i0000−2i2i000000
χ802-2-22-22-22-22222-2-2-22-2-22-2-2-22-22-2222-220000-222-20000000000000000-222-22-2-220000000000000000000000000000000000−2i2i−2i2i00002i−2i000000
χ812-2-2-2-2-2222-22-222-222-2-2-22-2-2-2222-2222-22-2-220000000000002-22-2-22-220000000000000000000000000000000000000000002-2-22002-200000000
χ822-2-2-2-2-2222-22-222-222-2-2-22-2-2-2222-2222-22-2-220000000000002-22-2-22-22000000000000000000000000000000000000000000-222-200-2200000000
χ832-2-2-2-2-2222-22-222-222-2-2-22-2-2-2222-2222-2-222-2000000000000-22-222-22-20000000000000000000000000000000000000000002-2-2200-2200000000
χ842-2-2-2-2-2222-22-222-222-2-2-22-2-2-2222-2222-2-222-2000000000000-22-222-22-2000000000000000000000000000000000000000000-222-2002-200000000
χ854444-4-4-4444-4-4-4-4-44-2-2-2-2-22222-2-2-2222200004i4i−4i−4i0000000000000000−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000000000
χ864444-4-4-4444-4-4-4-4-44-2-2-2-2-22222-2-2-222220000−4i−4i4i4i00000000000000002i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000000000
χ87444-44-4-44-4-44-44-44-4-2-2-222-2-222-222-2-2220000000000004i4i−4i−4i0000000000000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000
χ88444-44-4-44-4-44-44-44-4-2-2-222-2-222-222-2-222000000000000−4i−4i4i4i00000000000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000
χ89444-4-4444-4-4-44-44-4-4444-4-4-4-4444-4-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ90444-4-4444-4-4-44-44-4-4-2-2-22222-2-2-22222-2-2000000000000000023−23−232323−23−23230000000000000000000000000000000000000000000000000000000000
χ91444-4-4444-4-4-44-44-4-4-2-2-22222-2-2-22222-2-20000000000000000−232323−23−232323−230000000000000000000000000000000000000000000000000000000000
χ9244-444-44-44-4-444-4-4-444-44-4-44-44-44-4-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9344-444-44-44-4-444-4-4-4-2-22-222-22-22-222-22-20000000000000000000000002323−23−23−23−23232300000000000000000000000000000000000000000000000000
χ9444-444-44-44-4-444-4-4-4-2-22-222-22-22-222-22-2000000000000000000000000−23−2323232323−23−2300000000000000000000000000000000000000000000000000
χ9544-4-444-4-4-44-4-444-4444-4-44-444-4-4-44-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9644-4-444-4-4-44-4-444-44-2-222-22-2-2222-22-2-22000000000000000023−23−2323−232323−230000000000000000000000000000000000000000000000000000000000
χ9744-4-444-4-4-44-4-444-44-2-222-22-2-2222-22-2-220000000000000000−232323−2323−23−23230000000000000000000000000000000000000000000000000000000000
χ9844-4-4-4-44-4-4444-4-44444-4-444-4-44-4-444-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9944-4-4-4-44-4-4444-4-444-2-222-2-222-222-2-222-2000000000000000000000000000000002323−23−23−23−232323000000000000000000000000000000000000000000
χ10044-4-4-4-44-4-4444-4-444-2-222-2-222-222-2-222-200000000000000000000000000000000−23−2323232323−23−23000000000000000000000000000000000000000000
χ1014-444444-4-4-44-4-4-4-444-4444-4444-4-4-44-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-444444-4-4-44-4-4-4-44-22-2-2-22-2-2-2222-2222000000000000000000000000−2i32i3−2i32i32i3−2i32i3−2i300000000000000000000000000000000000000000000000000
χ1034-444444-4-4-44-4-4-4-44-22-2-2-22-2-2-2222-22220000000000000000000000002i3−2i32i3−2i3−2i32i3−2i32i300000000000000000000000000000000000000000000000000
χ1044-44-44-4-4-44444-44-4-4-22-2222-2222-2-2-22-2-24-44-4000000000000-22-22-22-220000000000000000000000000000000000000000000000000000000000
χ1054-44-44-4-4-44444-44-4-4-22-2222-2222-2-2-22-2-2-44-440000000000002-22-22-22-20000000000000000000000000000000000000000000000000000000000
χ1064-44-4-444-444-4-44-44-4-22-222-22-2-22-2-22-2220000000000004i−4i−4i4i0000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000
χ1074-44-4-444-444-4-44-44-4-22-222-22-2-22-2-22-222000000000000−4i4i4i−4i00000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000
χ1084-4-44-44-44-44444-4-4-4-222-2222-22-22-2-2-22-200004-4-440000000000000000-222-22-2-2200000000000000000000000000000000000000000000000000
χ1094-4-44-44-44-44444-4-4-4-222-2222-22-22-2-2-22-20000-444-400000000000000002-2-22-222-200000000000000000000000000000000000000000000000000
χ1104-4-4-444-444-4-44-4-4444-4-4-44444-444-4-4-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-4-4-444-444-4-44-4-444-2222-2-2-2-22-2-22222-20000000000000000000000000000000023−23−2323−232323−23000000000000000000000000000000000000000000
χ1124-4-4-444-444-4-44-4-444-2222-2-2-2-22-2-22222-200000000000000000000000000000000−232323−2323−23−2323000000000000000000000000000000000000000000
χ1134-4-4-4-4-4444-44-444-44-2222-2222-2-2-22-2-2-224-4-44000000000000-22-222-22-20000000000000000000000000000000000000000000000000000000000
χ1144-4-4-4-4-4444-44-444-44-2222-2222-2-2-22-2-2-22-444-40000000000002-22-2-22-220000000000000000000000000000000000000000000000000000000000

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