Finite Group Databasebeta

← Group #10867988

Character table — Group #10867988

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444444444444444444444444444488888888888888888888888888121212121212121224242424242424244848
order122222223444444446666666444444444412121212121212121212121212121212121212121212121222244444666666121212121212121212121212888888884444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1
χ4111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1
χ6111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1
χ91111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111-1
χ101111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-11
χ111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-11
χ121111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1
χ131111111111-1-1-1-11111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-11-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-11
χ141111111111-1-1-1-11111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-11-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1
χ151111111111-1-1-1-11111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11-1
χ161111111111-1-1-1-11111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-11
χ17222222222-22222-2-2-2222222222-2-22200002222-2-2-2-22222222200000000-200-20000-2-20000-2-20000-2-20000000000000000000000
χ18222222222-22222-2-2-22222222-2-2-2-2-2-20000-2-2-2-2-2-2-2-2-2-2-2-222220000000020020000220000220000-2-20000000000000000000000
χ19222222222-2-2-2-2-2-2-2-222222222222-2-20000-2-2-2-2-2-2-2-22222-2-2-2-200000000-20020000-2-20000220000220000000000000000000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-2222200002222-2-2-2-2-2-2-2-2-2-2-2-200000000200-20000220000-2-20000220000000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ2222222222-122222222-1-1-1-1-1-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111112-2-22-2-2-2-2-1-11111-1-11111-1-11111000000000000000000
χ2322222222-122222222-1-1-1-1-1-1-1-2-222-2-222221111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-222-2-2-2-2-211-1-1-1-1111111-1-11111000000000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-2-222-2-2-2-2-2-21111-1-1-1-11111-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1000000000000000000
χ2522222222-12-2-2-2-2222-1-1-1-1-1-1-122-2-2-2-222221111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-12-2-2-222-2-2-1-1111111111111-1-1-1-1000000000000000000
χ2622222222-12-2-2-2-2222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-1111111111111222-2-2-222-1-1-1-1-1-111-1-1-1-1111111000000000000000000
χ2722222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-2222222-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-22-2-222111111-1-1-1-1-1-1111111000000000000000000
χ2822222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-222222-2-211-1-1-1-1-1-1111111-1-1-1-1000000000000000000
χ2922222222-1-22222-2-2-2-1-1-1-1-1-1-122-2-2220000-1-1-1-11111-1-1-1-1-1-1-1-1−i3−i3−i3−i3i3i3i3i3-200-2000011−i3−i3i3i311−i3−i3i3i311−i3−i3i3i3000000000000000000
χ3022222222-1-22222-2-2-2-1-1-1-1-1-1-122-2-2220000-1-1-1-11111-1-1-1-1-1-1-1-1i3i3i3i3−i3−i3−i3−i3-200-2000011i3i3−i3−i311i3i3−i3−i311i3i3−i3−i3000000000000000000
χ3122222222-1-22222-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-20000111111111111-1-1-1-1−i3−i3−i3−i3i3i3i3i320020000-1-1−i3−i3i3i3-1-1i3i3−i3−i311i3i3−i3−i3000000000000000000
χ3222222222-1-22222-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-20000111111111111-1-1-1-1i3i3i3i3−i3−i3−i3−i320020000-1-1i3i3−i3−i3-1-1−i3−i3i3i311−i3−i3i3i3000000000000000000
χ3322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2000011111111-1-1-1-11111−i3−i3−i3−i3i3i3i3i3-2002000011i3i3−i3−i3-1-1i3i3−i3−i3-1-1−i3−i3i3i3000000000000000000
χ3422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2000011111111-1-1-1-11111i3i3i3i3−i3−i3−i3−i3-2002000011−i3−i3i3i3-1-1−i3−i3i3i3-1-1i3i3−i3−i3000000000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-222220000-1-1-1-1111111111111−i3−i3−i3−i3i3i3i3i3200-20000-1-1i3i3−i3−i311−i3−i3i3i3-1-1i3i3−i3−i3000000000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-222220000-1-1-1-1111111111111i3i3i3i3−i3−i3−i3−i3200-20000-1-1−i3−i3i3i311i3i3−i3−i3-1-1−i3−i3i3i3000000000000000000
χ37222-2-22-2-22-200002-22-2222-2-2-20000002i2i−2i−2i000022-2-2000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000022-2-2002i−2i000000
χ38222-2-22-2-22-200002-22-2222-2-2-20000002i2i−2i−2i000022-2-2000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000-2-22200−2i2i000000
χ39222-2-22-2-22-200002-22-2222-2-2-2000000−2i−2i2i2i000022-2-200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000022-2-200−2i2i000000
χ40222-2-22-2-22-200002-22-2222-2-2-2000000−2i−2i2i2i000022-2-200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000-2-222002i−2i000000
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χ4222-2-22-2-222022-2-200022-2-2-22-22i−2i002i−2i00002i2i−2i−2i00002i2i−2i−2i22-2-20000000000000000000000000000000000i2i2−i2−i2i2−i2i2−i20000−22−2200
χ4322-2-22-2-222022-2-200022-2-2-22-2−2i2i00−2i2i0000−2i−2i2i2i0000−2i−2i2i2i22-2-20000000000000000000000000000000000−i2−i2i2i2−i2i2−i2i20000−22−2200
χ4422-2-22-2-222022-2-200022-2-2-22-2−2i2i00−2i2i0000−2i−2i2i2i0000−2i−2i2i2i22-2-20000000000000000000000000000000000i2i2−i2−i2i2−i2i2−i200002−22−200
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χ4622-2-22-2-2220-2-22200022-2-2-22-22i−2i00−2i2i0000−2i−2i2i2i00002i2i−2i−2i-2-2220000000000000000000000000000000000i2i2−i2−i2−i2i2−i2i200002−2−2200
χ4722-2-22-2-2220-2-22200022-2-2-22-2−2i2i002i−2i00002i2i−2i−2i0000−2i−2i2i2i-2-2220000000000000000000000000000000000−i2−i2i2i2i2−i2i2−i200002−2−2200
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χ492-222-2-2-222200002-2-2-2-2-22-2220000002-22-200002-22-2000000002-22-22-22-2000000000000000000000000002i−2i2i−2i00002i−2i00000000
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χ522-222-2-2-222200002-2-2-2-2-22-222000000-22-2200002-22-200000000-22-22-22-2200000000000000000000000000−2i2i−2i2i00002i−2i00000000
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χ552-22-22-22-222−2i2i−2i2i-2-222-2-222-2-200−2i2i0000000000-222-20000−2i2i−2i2i0000000000002i−2i-2200000000-22-22−2i2i2i−2i2i−2i000000000000000000
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χ572-22-22-22-22-22i−2i2i−2i22-22-2-222-2-200−2i2i002i−2i−2i2i00002-2-2200002i−2i2i−2i2i−2i−2i2i2i−2i−2i2i02-200000002-22-2000000−2i2i0000000000000000000000
χ582-22-22-22-22-22i−2i2i−2i22-22-2-222-2-200−2i2i00−2i2i2i−2i00002-2-2200002i−2i2i−2i−2i2i2i−2i−2i2i2i−2i0-220000000-22-22000000−2i2i0000000000000000000000
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χ762-22-22-22-2-1-2−2i2i−2i2i22-2-111-1-111002i−2i00−2i2i2i−2i−33−33-111-1−i3i3−i3i3i−ii−ii−i−iii−i−ii02-200000i3−i3-11-113−3−i3i3i3−i3−ii−333−3000000000000000000
χ77444-4-44-4-4440000-44-4-4444-4-4-400000000000000-4-444000000000000000000000000000000000000000000000000000000000000
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χ8444-4-44-4-44-2044-4-4000-2-2222-224i−4i004i−4i0000−2i−2i2i2i0000−2i−2i2i2i-2-2220000000000000000000000000000000000000000000000000000
χ8544-4-44-4-44-2044-4-4000-2-2222-22−4i4i00−4i4i00002i2i−2i−2i00002i2i−2i−2i-2-2220000000000000000000000000000000000000000000000000000
χ8644-4-44-4-44-20-4-444000-2-2222-224i−4i00−4i4i00002i2i−2i−2i0000−2i−2i2i2i22-2-20000000000000000000000000000000000000000000000000000
χ8744-4-44-4-44-20-4-444000-2-2222-22−4i4i004i−4i0000−2i−2i2i2i00002i2i−2i−2i22-2-20000000000000000000000000000000000000000000000000000
χ884-444-4-4-444-40000-444-4-4-44-44400000000000000-44-44000000000000000000000000000000000000000000000000000000000000
χ894-444-4-4-44-2400004-4-4222-22-2-20000004-44-40000-22-2200000000-22-22-22-2200000000000000000000000000000000000000000000
χ904-444-4-4-44-2400004-4-4222-22-2-2000000-44-440000-22-22000000002-22-22-22-200000000000000000000000000000000000000000000
χ914-444-4-4-44-2-40000-444222-22-2-2000000000000002-22-200000000−2i32i3−2i32i32i3−2i32i3−2i300000000000000000000000000000000000000000000
χ924-444-4-4-44-2-40000-444222-22-2-2000000000000002-22-2000000002i3−2i32i3−2i3−2i32i3−2i32i300000000000000000000000000000000000000000000
χ934-4-4444-4-4404i−4i−4i4i0004-44-4-4-4400000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000
χ944-4-4444-4-440−4i4i4i−4i0004-44-4-4-440000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000
χ954-4-4444-4-4-204i−4i−4i4i000-22-2222-20000000000−2i32i32i3−2i30000−232323−23−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ964-4-4444-4-4-204i−4i−4i4i000-22-2222-200000000002i3−2i3−2i32i3000023−23−2323−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ974-4-4444-4-4-20−4i4i4i−4i000-22-2222-20000000000−2i32i32i3−2i3000023−23−23232i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ984-4-4444-4-4-20−4i4i4i−4i000-22-2222-200000000002i3−2i3−2i32i30000−232323−232i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ994-4-4-4-4444400000000-4-44-444-400000000000000000000000000000000000000000000000000000000000022−22−222200000000000000
χ1004-4-4-4-4444400000000-4-44-444-4000000000000000000000000000000000000000000000000000000000000−222222−2200000000000000
χ10188-88-8-88-8-4000000004-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-8-8888-40000000044-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000

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