Finite Group Databasebeta

← Group #10829995

Character table — Group #10829995

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444444444444444444444444444488888888888888888888888888121212121212121224242424242424244848
order122222223444444446666666444444444412121212121212121212121212121212121212121212121244444444121212121212121212121212121212121212888888884444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ4111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ9111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ10111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ11111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-11
χ12111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1
χ13111111111-1-1-1-111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111111111111111-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-11
χ14111111111-1-1-1-111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111111111111111-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11-1
χ15111111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ16111111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ172222222222222-2-2-2-222222222222-2-2000022222222222200000000-2-2-2-2-2-2000000-2-2-2-2-2-2000000000000000000000000000000
χ182222222222222-2-2-2-22222222-2-2-2-2-2-200002222-2-2-2-2-2-2-2-200000000-2-2-2-222000000-2-22222000000000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222222-2-2220000-2-2-2-22222-2-2-2-200000000-2-2-2-2-2200000022-2-222000000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-222220000-2-2-2-2-2-2-2-2222200000000-2-2-2-22-20000002222-2-2000000000000000000000000000000
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χ2222222222-122222222-1-1-1-1-1-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-122-2-2-2-2-2-2-1-1-1-1-1-1111111111111000000000000000000
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χ2422222222-122222222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-11111111111111111-1-1-1-1-2-2-2-22222-1-111111111-1-1-1-1-1-1-1-1000000000000000000
χ2522222222-12222-2-2-2-2-1-1-1-1-1-1-12222-2-20000-1-1-1-1-1-1-1-1-1-1-1-1−i3−i3−i3−i3i3i3i3i31111-2-2000000111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000
χ2622222222-12222-2-2-2-2-1-1-1-1-1-1-12222-2-20000-1-1-1-1-1-1-1-1-1-1-1-1i3i3i3i3−i3−i3−i3−i31111-2-2000000111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000
χ2722222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-20000-1-1-1-111111111−i3−i3−i3−i3i3i3i3i311112200000011-1-1-1-1−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000000000
χ2822222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-20000-1-1-1-111111111i3i3i3i3−i3−i3−i3−i311112200000011-1-1-1-1i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000000000
χ2922222222-1-2-2-2-22222-1-1-1-1-1-1-122-2-2-2-222221111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-12-2-2-222-2-211-1-1111111-1-1-1-11111000000000000000000
χ3022222222-1-2-2-2-22222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-21111-1-1-1-1111111111111-1-1-1-12-222-2-22211-1-111-1-1-1-11111-1-1-1-1000000000000000000
χ3122222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-222-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2-2-2-2221111-1-111111111-1-1-1-1000000000000000000
χ3222222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-222-2-2-2-2-2-211111111-1-1-1-111111111-1-1-1-1-222222-2-21111-1-1-1-1-1-1-1-1-1-11111000000000000000000
χ3322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-22200001111-1-1-1-11111−i3−i3−i3−i3i3i3i3i31111-22000000-1-111-1-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000000000
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χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-22222000011111111-1-1-1-1−i3−i3−i3−i3i3i3i3i311112-2000000-1-1-1-111i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-22222000011111111-1-1-1-1i3i3i3i3−i3−i3−i3−i311112-2000000-1-1-1-111−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000000000
χ37222-22-2-2-2222-2-2000022-2-22-2-22-22-200000022-2-222-2-222-2-20000000000000000000000000000000000000022−2−222−2−200002−22−200
χ38222-22-2-2-2222-2-2000022-2-22-2-22-22-200000022-2-222-2-222-2-200000000000000000000000000000000000000−2−222−2−2220000−22−2200
χ39222-22-2-2-2222-2-2000022-2-22-2-2-22-2200000022-2-2-2-222-2-2220000000000000000000000000000000000000022−2−222−2−20000−22−2200
χ40222-22-2-2-2222-2-2000022-2-22-2-2-22-2200000022-2-2-2-222-2-22200000000000000000000000000000000000000−2−222−2−22200002−22−200
χ41222-22-2-2-22-2-222000022-2-22-2-22-2-22000000-2-22222-2-2-2-2220000000000000000000000000000000000000022−2−2−2−22200002−2−2200
χ42222-22-2-2-22-2-222000022-2-22-2-22-2-22000000-2-22222-2-2-2-22200000000000000000000000000000000000000−2−22222−2−20000−222−200
χ43222-22-2-2-22-2-222000022-2-22-2-2-222-2000000-2-222-2-22222-2-20000000000000000000000000000000000000022−2−2−2−2220000−222−200
χ44222-22-2-2-22-2-222000022-2-22-2-2-222-2000000-2-222-2-22222-2-200000000000000000000000000000000000000−2−22222−2−200002−2−2200
χ4522-22-2-2-2220000-22-222-22-2-2-220000002i2i−2i−2i0000000000002i2i−2i−2i2i2i−2i−2i22-2-20000000000000000000000000000002i−2i2i−2i002-2000000
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χ934-44-4-4-444-20000-4-4442-22-222-2000000000000000000000023−2323−23−2323−23232-22-200000000000000000000000000000000000000000000
χ944-44-4-4-444-20000-4-4442-22-222-20000000000000000000000−2323−232323−2323−232-22-200000000000000000000000000000000000000000000
χ954-4-444-44-444-4-440000-4-4444-4-400000000004-4-440000000000000000000000000000000000000000000000000000000000000000
χ964-4-444-44-44-444-40000-4-4444-4-40000000000-444-40000000000000000000000000000000000000000000000000000000000000000
χ974-4-444-44-4-24-4-44000022-2-2-2220000000000-222-2−2i32i32i3−2i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000
χ984-4-444-44-4-24-4-44000022-2-2-2220000000000-222-22i3−2i3−2i32i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ994-4-444-44-4-2-444-4000022-2-2-22200000000002-2-22−2i32i32i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ1004-4-444-44-4-2-444-4000022-2-2-22200000000002-2-222i3−2i3−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000
χ10188-8-8-888-8-400000000-444-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-888-88-8-8-4000000004-4-444-44000000000000000000000000000000000000000000000000000000000000000000000000000000

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