Finite Group Databasebeta

← Group #10855239

Character table — Group #10855239

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444444444444444444444444444488888888888888888888888888121212121212121224242424242424244848
order122222223444444446666666444444444412121212121212121212121212121212121212121212121244444444121212121212121212121212121212121212888888882244888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ411111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111-1-1111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1
χ6111111111111111111111111-1-1111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ91111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ101111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-11
χ121111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-11-1
χ131111111111-1-1-1-11111111111-1-11111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-11
χ141111111111-1-1-1-11111111111-1-11111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1
χ151111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ161111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ17222222222-22222-2-2-22222222220000-2-222222222222222-2-2-2-200000000-200-20000-2-20000-2-2-2-200000000000000000000000000
χ18222222222-22222-2-2-22222222-2-20000-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000020020000220000-2-22200000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222222000022-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000-20020000-2-20000222200000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-200002222-2-2-2-2-2-2-2-22222-2-2-2-200000000200-2000022000022-2-200000000000000000000000000
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
χ2222222222-122222222-1-1-1-1-1-1-122-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111112-2-22-2-2-2-2-1-11111-1-1-1-111111111000000000000000000
χ2322222222-122222222-1-1-1-1-1-1-1-2-2222222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2111111-1-111-1-1-1-11111000000000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-222-2-21111-1-1-1-11111-1-1-1-111111111-222-2-2-22211-1-1-1-1-1-1111111-1-1-1-1000000000000000000
χ2522222222-12-2-2-2-2222-1-1-1-1-1-1-1222222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1222-2-2-2-2-2-1-1-1-1-1-1111111111111000000000000000000
χ2622222222-12-2-2-2-2222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1111111112-2-2-22222-1-111111111-1-1-1-1-1-1-1-1000000000000000000
χ2722222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-22222-2-22211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-22-2-22211111111-1-11111-1-1-1-1000000000000000000
χ2822222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22211111111-1-1-1-1-1-1-1-111111111-222222-2-211-1-1-1-111-1-1-1-1-1-11111000000000000000000
χ2922222222-1-22222-2-2-2-1-1-1-1-1-1-1220000-2-222-1-1-1-1-1-1-1-1-1-1-1-11111−i3−i3−i3−i3i3i3i3i3-200-2000011−i3−i3i3i31111−i3−i3i3i3−i3−i3i3i3000000000000000000
χ3022222222-1-22222-2-2-2-1-1-1-1-1-1-1220000-2-222-1-1-1-1-1-1-1-1-1-1-1-11111i3i3i3i3−i3−i3−i3−i3-200-2000011i3i3−i3−i31111i3i3−i3−i3i3i3−i3−i3000000000000000000
χ3122222222-1-22222-2-2-2-1-1-1-1-1-1-1-2-20000-2-2-2-21111-1-1-1-111111111−i3−i3−i3−i3i3i3i3i320020000-1-1i3i3−i3−i311-1-1−i3−i3i3i3i3i3−i3−i3000000000000000000
χ3222222222-1-22222-2-2-2-1-1-1-1-1-1-1-2-20000-2-2-2-21111-1-1-1-111111111i3i3i3i3−i3−i3−i3−i320020000-1-1−i3−i3i3i311-1-1i3i3−i3−i3−i3−i3i3i3000000000000000000
χ3322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122000022-2-2-1-1-1-1111111111111−i3−i3−i3−i3i3i3i3i3-2002000011−i3−i3i3i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000
χ3422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122000022-2-2-1-1-1-1111111111111i3i3i3i3−i3−i3−i3−i3-2002000011i3i3−i3−i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-20000222211111111-1-1-1-11111−i3−i3−i3−i3i3i3i3i3200-20000-1-1i3i3−i3−i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-20000222211111111-1-1-1-11111i3i3i3i3−i3−i3−i3−i3200-20000-1-1−i3−i3i3i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000
χ3722-22-22-2-22-200002-2222-2-22-2-20022-2-2000000000000000022-2-222-2-222-2-2000000000000000000000000002i2i−2i−2i0000002i−2i000000
χ3822-22-22-2-22-200002-2222-2-22-2-20022-2-2000000000000000022-2-222-2-222-2-200000000000000000000000000−2i−2i2i2i000000−2i2i000000
χ3922-22-22-2-22-200002-2222-2-22-2-200-2-222000000000000000022-2-2-2-222-2-222000000000000000000000000002i2i−2i−2i000000−2i2i000000
χ4022-22-22-2-22-200002-2222-2-22-2-200-2-222000000000000000022-2-2-2-222-2-22200000000000000000000000000−2i−2i2i2i0000002i−2i000000
χ412-2222-2-2-2222i2i−2i−2i-2-22-2-22-222-2002-22-22i−2i0000002i2i−2i−2i00002-22-22-22-22-22-200002i−2i000000002i−2i002i−2i2i−2i0000000000000000000000
χ422-2222-2-2-2222i2i−2i−2i-2-22-2-22-222-200-22-222i−2i0000002i2i−2i−2i00002-22-2-22-22-22-220000−2i2i000000002i−2i00−2i2i−2i2i0000000000000000000000
χ432-2222-2-2-222−2i−2i2i2i-2-22-2-22-222-2002-22-2−2i2i000000−2i−2i2i2i00002-22-22-22-22-22-20000−2i2i00000000−2i2i00−2i2i−2i2i0000000000000000000000
χ442-2222-2-2-222−2i−2i2i2i-2-22-2-22-222-200-22-22−2i2i000000−2i−2i2i2i00002-22-2-22-22-22-2200002i−2i00000000−2i2i002i−2i2i−2i0000000000000000000000
χ452-2222-2-2-22-22i2i−2i−2i22-2-2-22-222-2000000−2i2i0000002i2i−2i−2i0000-22-220000000002-20002i−2i002-22-2−2i2i0000002i−2i2i−2i000000000000000000
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χ482-2222-2-2-22-2−2i−2i2i2i22-2-2-22-222-20000002i−2i000000−2i−2i2i2i0000-22-22000000000-220002i−2i00-22-222i−2i0000002i−2i2i−2i000000000000000000
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χ502-2222-2-2-2-122i2i−2i−2i-2-2211-11-1-11002-22-22i−2i00i3i3−i3−i3−i−iii−3−333-11-11-11-11-11-1100002i−2i00i3−i3i3−i3−i3i3−ii−33−ii−ii−333−3000000000000000000
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χ522-2222-2-2-2-122i2i−2i−2i-2-2211-11-1-1100-22-222i−2i00i3i3−i3−i3−i−iii−3−333-11-111-11-11-11-10000−2i2i00i3−i3−i3i3i3−i3−ii−33i−ii−i3−3−33000000000000000000
χ532-2222-2-2-2-12−2i−2i2i2i-2-2211-11-1-11002-22-2−2i2i00−i3−i3i3i3ii−i−i−3−333-11-11-11-11-11-110000−2i2i00−i3i3−i3i3i3−i3i−i−33i−ii−i−333−3000000000000000000
χ542-2222-2-2-2-12−2i−2i2i2i-2-2211-11-1-11002-22-2−2i2i00i3i3−i3−i3ii−i−i33−3−3-11-11-11-11-11-110000−2i2i00i3−i3i3−i3−i3i3i−i3−3i−ii−i3−3−33000000000000000000
χ552-2222-2-2-2-12−2i−2i2i2i-2-2211-11-1-1100-22-22−2i2i00−i3−i3i3i3ii−i−i−3−333-11-111-11-11-11-100002i−2i00−i3i3i3−i3−i3i3i−i−33−ii−ii3−3−33000000000000000000
χ562-2222-2-2-2-12−2i−2i2i2i-2-2211-11-1-1100-22-22−2i2i00i3i3−i3−i3ii−i−i33−3−3-11-111-11-11-11-100002i−2i00i3−i3−i3i3i3−i3i−i3−3−ii−ii−333−3000000000000000000
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χ8844-4-44-4-44400000000-44-44-44-40000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i20000000000
χ8944-4-44-4-44400000000-44-44-44-400000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ904-44-4-44-44-204-44-4000-22-2-22224-40000004-4-22-22-22-22-22-2200000000000000000000000000000000000000000000000000000000
χ914-44-4-44-44-204-44-4000-22-2-2222-44000000-442-22-2-22-222-22-200000000000000000000000000000000000000000000000000000000
χ924-44-4-44-44-20-44-44000-22-2-22224-4000000-44-22-222-22-22-22-200000000000000000000000000000000000000000000000000000000
χ934-44-4-44-44-20-44-44000-22-2-2222-440000004-42-22-22-22-2-22-2200000000000000000000000000000000000000000000000000000000
χ944-4-44-4-4444400004-4-4-4-4-444-440000000000000000000000-444-40000000000000000000000000000000000000000000000000000
χ954-4-44-4-444-2400004-4-4222-2-22-200000000000000000000002-2-22−2i32i32i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000
χ964-4-44-4-444-2400004-4-4222-2-22-200000000000000000000002-2-222i3−2i3−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000
χ974-4-44-4-444-2-40000-444222-2-22-2004-4-440000000000000000-222-2-222-2-222-200000000000000000000000000000000000000000000
χ984-4-44-4-444-2-40000-444222-2-22-200-444-40000000000000000-222-22-2-222-2-2200000000000000000000000000000000000000000000
χ994-4-4-4444-44000000004-4-4-4-44400000000000000000000000000000000000000000000000000000000000022−22−222200000000000000
χ1004-4-4-4444-44000000004-4-4-4-444000000000000000000000000000000000000000000000000000000000000−222222−2200000000000000
χ10188-8-88-8-88-4000000004-44-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-8888-8-400000000-44444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000

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