Finite Group Databasebeta

← Group #10729215

Character table — Group #10729215

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111111122222222222222222222222244444444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order122222222222222234444444466666666666666644444444121212121212121212121212121212121212121212121212224444446666121212121212121212121212444444444444444422224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ911111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ1011111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ1111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ1211111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ1311111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1411111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1511111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1611111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ172222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ182222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ192222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-2-222-1-1-1-1-1-1-1-111111111000000000000000000000000
χ202222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-22222-2-211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ212222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ222222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-222221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ232222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-122-2-222-2-2-1-1-1-111111111-1-1-1-1000000000000000000000000
χ242222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-1-1-1-1-11111000000000000000000000000
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χ262222-2-2-22222-2-2-2-2-2200000000222-2-2-2-2-2-22222-2-2000022-2-200000000000000002222-2-2-2-20000000000000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000
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χ4622-2-222-2-2-222-2-222-22000000002-2-2-22222-2-2-222-2-22i2i−2i−2i0000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000-2-2220000−2i2i−2i2i000000000000
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χ4822-2-222-2-2-222-2-222-22000000002-2-2-22222-2-2-222-2-2−2i−2i2i2i000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000-2-22200002i−2i2i−2i000000000000
χ4922-2-2-2-22-2-22222-2-22222-2-2-2-2222-2-22-2-2-2-22-2-222220000000022-2-2-2-2220000000000000000000000000000000000000000000000002-2-2222-2-200000000
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χ5122-2-2-2-22-2-22222-2-222-2-22222-2-22-2-22-2-2-2-22-2-2222200000000-2-22222-2-20000000000000000000000000000000000000000000000002-2-22-2-22200000000
χ5222-2-2-2-22-2-22222-2-222-2-22222-2-22-2-22-2-2-2-22-2-2222200000000-2-22222-2-2000000000000000000000000000000000000000000000000-222-222-2-200000000
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χ562-222-2-2-2-2-22-2-222222-22-22-22-22-22222-22-2-2-2-22-2-2200000000-22-22-22-220000000000000000-2200002-2-22-222-22-200000000000000000000000000000000
χ572-222-2-2-2-2-22-2-22222-12-22-22-22-21-1-1-1-11-11111-111-100000000-11-11-11-113−33−33−33−33−33−33−33−32-200002-2-11-11-11-113−33−33−33−3000000000000000000000000
χ582-222-2-2-2-2-22-2-22222-12-22-22-22-21-1-1-1-11-11111-111-100000000-11-11-11-113−33−33−33−33−33−33−33−3-220000-221-11-11-11-1−33−33−33−33000000000000000000000000
χ592-222-2-2-2-2-22-2-22222-12-22-22-22-21-1-1-1-11-11111-111-100000000-11-11-11-11−33−33−33−33−33−33−33−332-200002-2-11-11-11-11−33−33−33−33000000000000000000000000
χ602-222-2-2-2-2-22-2-22222-12-22-22-22-21-1-1-1-11-11111-111-100000000-11-11-11-11−33−33−33−33−33−33−33−33-220000-221-11-11-11-13−33−33−33−3000000000000000000000000
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χ622-222-2-2-2-2-22-2-22222-1-22-22-22-221-1-1-1-11-11111-111-1000000001-11-11-11-13−33−33−33−3−33−33−33−33-2200002-21-11-1-11-11−33−333−33−3000000000000000000000000
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χ692-22-2-222-22-22-222-2-222i−2i2i−2i−2i2i−2i2i-22-222-2-222-22-22-2-22i−2i2i−2i2-2-222i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2-2-222-2-22000000000000000000000000000000000000000000000000
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χ782-22-2-222-22-22-222-2-2-1−2i2i−2i2i2i−2i2i−2i1-11-1-111-1-11-11-1112i−2i2i−2i-222-2i−ii−i−ii−iii−ii−i−ii−ii1-1-111-1-1100000000i3−i3−i3i33−3−333−3−33−i3i3i3−i3000000000000000000000000
χ792-22-2-222-22-22-222-2-2-1−2i2i−2i2i2i−2i2i−2i1-11-1-111-1-11-11-111−2i2i−2i2i2-2-22i−ii−i−ii−ii−ii−iii−ii−i-111-1-111-100000000−i3i3i3−i3−333−33−3−33−i3i3i3−i3000000000000000000000000
χ802-22-2-222-22-22-222-2-2-1−2i2i−2i2i2i−2i2i−2i1-11-1-111-1-11-11-111−2i2i−2i2i2-2-22i−ii−i−ii−ii−ii−iii−ii−i-111-1-111-100000000i3−i3−i3i33−3−33−333−3i3−i3−i3i3000000000000000000000000
χ812-2-222-222-2-22-22-22-222i−2i−2i2i2i−2i−2i2i-2-222-222-222-2-22-2-2000000002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000000000002-2-222i−2i2i−2i0000000000000000
χ822-2-222-222-2-22-22-22-222i−2i−2i2i2i−2i−2i2i-2-222-222-222-2-22-2-2000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000-222-2−2i2i−2i2i0000000000000000
χ832-2-222-222-2-22-22-22-22−2i2i2i−2i−2i2i2i−2i-2-222-222-222-2-22-2-200000000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000000000002-2-22−2i2i−2i2i0000000000000000
χ842-2-222-222-2-22-22-22-22−2i2i2i−2i−2i2i2i−2i-2-222-222-222-2-22-2-200000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000-222-22i−2i2i−2i0000000000000000
χ852-2-22-22-22-2-222-22-22200000000-2-22-22-2-22-22-2-22222-2-22000000000000-222-22-2-220000000000000000000000000000000000002-2-220000-222-200000000
χ862-2-22-22-22-2-222-22-22200000000-2-22-22-2-22-22-2-22222-2-22000000000000-222-22-2-22000000000000000000000000000000000000-222-200002-2-2200000000
χ872-2-22-22-22-2-222-22-22200000000-2-22-22-2-22-22-2-2222-222-20000000000002-2-22-222-20000000000000000000000000000000000002-2-2200002-2-2200000000
χ882-2-22-22-22-2-222-22-22200000000-2-22-22-2-22-22-2-2222-222-20000000000002-2-22-222-2000000000000000000000000000000000000-222-20000-222-200000000
χ892-2-2-222-2222-2-22-2-2222-2-22-222-2-2-2-22-22-22-2222-2-22000000002-2-22-222-200000000000000000000000000000000000000000000000000000000002-2002-2
χ902-2-2-222-2222-2-22-2-2222-2-22-222-2-2-2-22-22-22-2222-2-22000000002-2-22-222-20000000000000000000000000000000000000000000000000000000000-2200-22
χ912-2-2-222-2222-2-22-2-222-222-22-2-22-2-2-22-22-22-2222-2-2200000000-222-22-2-2200000000000000000000000000000000000000000000000000000000002-200-22
χ922-2-2-222-2222-2-22-2-222-222-22-2-22-2-2-22-22-22-2222-2-2200000000-222-22-2-220000000000000000000000000000000000000000000000000000000000-22002-2
χ934444-4-4-44444-4-4-4-4-4-200000000-2-2-2222222-2-2-2-222000044-4-40000000000000000-2-2-2-22222000000000000000000000000000000000000000000000000
χ944444-4-4-44444-4-4-4-4-4-200000000-2-2-2222222-2-2-2-2220000-4-44400000000000000002222-2-2-2-2000000000000000000000000000000000000000000000000
χ95444-4-4444-4-4-4-4-4-44440000000044-4-4-4-44444-4-4-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ96444-4-4444-4-4-4-4-4-444-200000000-2-22222-2-2-2-22222-20000000000000000000000002323−23−23−23−232323000000000000000000000000000000000000000000000000
χ97444-4-4444-4-4-4-4-4-444-200000000-2-22222-2-2-2-22222-2000000000000000000000000−23−2323232323−23−23000000000000000000000000000000000000000000000000
χ9844-444-44-44-4-4-4-44-444000000004-44-444-4-44-44-4-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9944-444-44-44-4-4-4-44-44-200000000-22-22-2-222-22-2222-200000000000000002323−23−23−23−23232300000000000000000000000000000000000000000000000000000000
χ10044-444-44-44-4-4-4-44-44-200000000-22-22-2-222-22-2222-20000000000000000−23−2323232323−23−2300000000000000000000000000000000000000000000000000000000
χ10144-44-44-4-44-4-444-44-4-24i4i−4i−4i4i4i−4i−4i-22-2-222-2-222-222-2200000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ10244-44-44-4-44-4-444-44-4-2−4i−4i4i4i−4i−4i4i4i-22-2-222-2-222-222-22000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ10344-4-444-4-4-444-4-444-4-200000000-2222-2-2-2-2222-2-2224i4i−4i−4i000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ10444-4-444-4-4-444-4-444-4-200000000-2222-2-2-2-2222-2-222−4i−4i4i4i0000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ10544-4-4-4-44-4-44444-4-44-244-4-4-4-444-222-22222-222-2-2-2-200000000-2-22222-2-20000000000000000000000000000000000000000000000000000000000000000
χ10644-4-4-4-44-4-44444-4-44-2-4-44444-4-4-222-22222-222-2-2-2-20000000022-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000
χ1074-444444-4-44-44-4-4-4-4400000000-444-4-44-444-4-44-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1084-444444-4-44-44-4-4-4-4-2000000002-2-222-22-2-222-22-2200000000000000000000000023−2323−23−2323−2323000000000000000000000000000000000000000000000000
χ1094-444444-4-44-44-4-4-4-4-2000000002-2-222-22-2-222-22-22000000000000000000000000−2323−232323−2323−23000000000000000000000000000000000000000000000000
χ1104-44-44-4-4-44-444-4-444-2000000002-2222-2-2222-22-2-2-200004-44-40000000000000000-222-22-2-22000000000000000000000000000000000000000000000000
χ1114-44-44-4-4-44-444-4-444-2000000002-2222-2-2222-22-2-2-20000-44-4400000000000000002-2-22-222-2000000000000000000000000000000000000000000000000
χ1124-4-444-444-4-44-44-44-4-24i−4i−4i4i4i−4i−4i4i22-2-22-2-22-2-222-22200000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ1134-4-444-444-4-44-44-44-4-2−4i4i4i−4i−4i4i4i−4i22-2-22-2-22-2-222-222000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ1144-4-44-44-44-4-444-44-44-20000000022-22-222-22-222-2-2-24-4-440000000000002-2-22-222-200000000000000000000000000000000000000000000000000000000
χ1154-4-44-44-44-4-444-44-44-20000000022-22-222-22-222-2-2-2-444-4000000000000-222-22-2-2200000000000000000000000000000000000000000000000000000000
χ1164-4-4-444-4444-4-44-4-44-24-4-44-444-4222-22-22-22-2-2-222-200000000-222-22-2-220000000000000000000000000000000000000000000000000000000000000000
χ1174-4-4-444-4444-4-44-4-44-2-444-44-4-44222-22-22-22-2-2-222-2000000002-2-22-222-20000000000000000000000000000000000000000000000000000000000000000
χ1184-4-4-4-4-44444-44-444-4400000000-4-4-4-44-44-44444-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1194-4-4-4-4-44444-44-444-4-2000000002222-22-22-2-2-2-22-220000000000000000−2i32i32i3−2i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000
χ1204-4-4-4-4-44444-44-444-4-2000000002222-22-22-2-2-2-22-2200000000000000002i3−2i3−2i32i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000

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