Finite Group Databasebeta

← Group #10828820

Character table — Group #10828820

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444444444444444444444444444488888888888888888888888888121212121212121224242424242424244848
order122222222222344446666666444444444466661212121212121212121212121212121212121212244444446612121212121212121212121212121212888888884444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ4111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111-1-111-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1
χ6111111111111111111111111-1-111-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ911111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-111-1-11-1
χ1011111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-11
χ1111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-11
χ1211111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1
χ1311111111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ1411111111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1
χ1511111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-11
χ172222222222222-2-2-2-2222222222-2-222000022222222-2-2-2-2222200000000-20000-200-2-20000-2-2-2-200000000000000000000000000
χ182222222222222-2-2-2-22222222-2-2-2-2-2-200002222-2-2-2-2-2-2-2-2-2-2-2-20000000020000200220000-2-22200000000000000000000000000
χ19222222222222-12222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ20222222222222-12222-1-1-1-1-1-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111112-2-2-2-22-2-2-1-11111-1-1-1-111111111000000000000000000
χ21222222222222-12222-1-1-1-1-1-1-1-2-222-2-22222-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-2-2-2-222111111-1-111-1-1-1-11111000000000000000000
χ22222222222222-12222-1-1-1-1-1-1-1-2-222-2-2-2-2-2-2-1-1-1-11111-1-1-1-1111111111111-22222-2-2-211-1-1-1-1-1-1111111-1-1-1-1000000000000000000
χ23222222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2220000-1-1-1-1-1-1-1-11111-1-1-1-1−i3−i3−i3−i3i3i3i3i3-20000-20011−i3−i3i3i31111−i3−i3i3i3−i3−i3i3i3000000000000000000
χ24222222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2220000-1-1-1-1-1-1-1-11111-1-1-1-1i3i3i3i3−i3−i3−i3−i3-20000-20011i3i3−i3−i31111i3i3−i3−i3i3i3−i3−i3000000000000000000
χ25222222222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-20000-1-1-1-1111111111111−i3−i3−i3−i3i3i3i3i320000200-1-1i3i3−i3−i311-1-1−i3−i3i3i3i3i3−i3−i3000000000000000000
χ26222222222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-20000-1-1-1-1111111111111i3i3i3i3−i3−i3−i3−i320000200-1-1−i3−i3i3i311-1-1i3i3−i3−i3−i3−i3i3i3000000000000000000
χ2722222222-2-2-2-22-2-2-2-222222222222-2-20000-2-2-2-22222-2-2-2-2-2-2-2-20000000020000-20022000022-2-200000000000000000000000000
χ2822222222-2-2-2-22-2-2-2-22222222-2-222220000-2-2-2-2-2-2-2-2-2-2-2-2222200000000-20000200-2-20000222200000000000000000000000000
χ2922222222-2-2-2-2-12222-1-1-1-1-1-1-122-2-2-2-222221111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-2222-2-211111111-1-11111-1-1-1-1000000000000000000
χ3022222222-2-2-2-2-12222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-1111111111111-222-2-222211-1-1-1-111-1-1-1-1-1-11111000000000000000000
χ3122222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-2-2-2-2-2-1-1-1-1-1-1111111111111000000000000000000
χ3222222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-211111111-1-1-1-1-1-1-1-1111111112-2-222-222-1-111111111-1-1-1-1-1-1-1-1000000000000000000
χ3322222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-12222-2-200001111-1-1-1-111111111−i3−i3−i3−i3i3i3i3i320000-200-1-1i3i3−i3−i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000
χ3422222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-12222-2-200001111-1-1-1-111111111i3i3i3i3−i3−i3−i3−i320000-200-1-1−i3−i3i3i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000
χ3522222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1-2-222220000111111111111-1-1-1-1−i3−i3−i3−i3i3i3i3i3-2000020011−i3−i3i3i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000
χ3622222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1-2-222220000111111111111-1-1-1-1i3i3i3i3−i3−i3−i3−i3-2000020011i3i3−i3−i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000
χ37222-2-2-2-2222-2-22000022-2-2-22-22i−2i002i−2i000022-2-22i2i−2i−2i00002i2i−2i−2i000000000000000000000000000000000022−2−222−2−20000−i2i2−i2i200
χ38222-2-2-2-2222-2-22000022-2-2-22-22i−2i002i−2i000022-2-22i2i−2i−2i00002i2i−2i−2i0000000000000000000000000000000000−2−222−2−2220000i2−i2i2−i200
χ39222-2-2-2-2222-2-22000022-2-2-22-2−2i2i00−2i2i000022-2-2−2i−2i2i2i0000−2i−2i2i2i000000000000000000000000000000000022−2−222−2−20000i2−i2i2−i200
χ40222-2-2-2-2222-2-22000022-2-2-22-2−2i2i00−2i2i000022-2-2−2i−2i2i2i0000−2i−2i2i2i0000000000000000000000000000000000−2−222−2−2220000−i2i2−i2i200
χ41222-2-2-2-22-2-2222000022-2-2-22-22i−2i00−2i2i0000-2-2222i2i−2i−2i0000−2i−2i2i2i000000000000000000000000000000000022−2−2−2−2220000−i2i2i2−i200
χ42222-2-2-2-22-2-2222000022-2-2-22-22i−2i00−2i2i0000-2-2222i2i−2i−2i0000−2i−2i2i2i0000000000000000000000000000000000−2−22222−2−20000i2−i2−i2i200
χ43222-2-2-2-22-2-2222000022-2-2-22-2−2i2i002i−2i0000-2-222−2i−2i2i2i00002i2i−2i−2i000000000000000000000000000000000022−2−2−2−2220000i2−i2−i2i200
χ44222-2-2-2-22-2-2222000022-2-2-22-2−2i2i002i−2i0000-2-222−2i−2i2i2i00002i2i−2i−2i0000000000000000000000000000000000−2−22222−2−20000−i2i2i2−i200
χ4522-2-222-2-200002-22-222-22-2-2-220000002i2i−2i−2i0000000022-2-200002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000002-22-2002i−2i000000
χ4622-2-222-2-200002-22-222-22-2-2-220000002i2i−2i−2i0000000022-2-200002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000-22-2200−2i2i000000
χ4722-2-222-2-200002-22-222-22-2-2-22000000−2i−2i2i2i0000000022-2-20000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000002-22-200−2i2i000000
χ4822-2-222-2-200002-22-222-22-2-2-22000000−2i−2i2i2i0000000022-2-20000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000-22-22002i−2i000000
χ492-22-22-22-200002-2-222-22-22-2-220000002i−2i2i−2i000000002-22-200002i−2i2i−2i2i−2i2i−2i000000000000000000000000002-22-200002i−2i00000000
χ502-22-22-22-200002-2-222-22-22-2-220000002i−2i2i−2i000000002-22-200002i−2i2i−2i2i−2i2i−2i00000000000000000000000000-22-220000−2i2i00000000
χ512-22-22-22-200002-2-222-22-22-2-22000000−2i2i−2i2i000000002-22-20000−2i2i−2i2i−2i2i−2i2i000000000000000000000000002-22-20000−2i2i00000000
χ522-22-22-22-200002-2-222-22-22-2-22000000−2i2i−2i2i000000002-22-20000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000-22-2200002i−2i00000000
χ532-2-222-2-222-22-222-2-22-2-2-2-2222002-2002-2-222-22-200002-2-2200002-2-222-2-220000002-20000002-2002-22-20000000000000000000000
χ542-2-222-2-222-22-222-2-22-2-2-2-2222002-200-222-22-22-200002-2-220000-222-2-222-2000000-220000002-200-22-220000000000000000000000
χ552-2-222-2-222-22-22-222-2-2-2-2-222200-220000002-22-20000-222-200000000000002-22-2000002-22-2-220000002-22-2000000000000000000
χ562-2-222-2-222-22-22-222-2-2-2-2-222200-220000002-22-20000-222-20000000000000-22-2200000-22-22-22000000-22-22000000000000000000
χ572-2-222-2-222-22-2-12-2-221111-1-1-1002-2002-2-22-11-11−i3i3−i3i3-111-1−i3i3−i3i3-111-1-111-10000002-2−i3i3−i3i3i3−i3-11−i3i3-11-11−i3i3i3−i3000000000000000000
χ582-2-222-2-222-22-2-12-2-221111-1-1-1002-2002-2-22-11-11i3−i3i3−i3-111-1i3−i3i3−i3-111-1-111-10000002-2i3−i3i3−i3−i3i3-11i3−i3-11-11i3−i3−i3i3000000000000000000
χ592-2-222-2-222-22-2-12-2-221111-1-1-1002-200-222-2-11-11−i3i3−i3i3-111-1−i3i3−i3i31-1-111-1-11000000-22−i3i3i3−i3−i3i3-11−i3i31-11-1i3−i3−i3i3000000000000000000
χ602-2-222-2-222-22-2-12-2-221111-1-1-1002-200-222-2-11-11i3−i3i3−i3-111-1i3−i3i3−i31-1-111-1-11000000-22i3−i3−i3i3i3−i3-11i3−i31-11-1−i3i3i3−i3000000000000000000
χ612-2-222-2-222-22-2-1-222-21111-1-1-100-22000000-11-11−i3i3−i3i31-1-11−i3i3−i3i3−i3i3i3−i3i3−i3−i3i302-22-2000i3−i3-11-111-1i3−i3−i3i3i3−i3-11-11000000000000000000
χ622-2-222-2-222-22-2-1-222-21111-1-1-100-22000000-11-11−i3i3−i3i31-1-11−i3i3−i3i3i3−i3−i3i3−i3i3i3−i30-22-22000i3−i31-11-11-1i3−i3i3−i3−i3i31-11-1000000000000000000
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χ652-2-222-2-22-22-2222-2-22-2-2-2-222200-22002-2-22-22-2200002-2-2200002-2-222-2-22000000-22000000-2200-22-220000000000000000000000
χ662-2-222-2-22-22-2222-2-22-2-2-2-222200-2200-222-2-22-2200002-2-220000-222-2-222-20000002-2000000-22002-22-20000000000000000000000
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χ894-444-44-4-4000040000-444-44-4-4000000000000000000000000000000000000000000000000000000000000−222222−2200000000000000
χ904-44-44-44-40000444-4-4-44-44-4-44000000000000000000-44-4400000000000000000000000000000000000000000000000000000000
χ914-44-44-44-40000-244-4-42-22-222-20000000000000000002-22-2000023−2323−23−2323−232300000000000000000000000000000000000000000000
χ924-44-44-44-40000-244-4-42-22-222-20000000000000000002-22-20000−2323−232323−2323−2300000000000000000000000000000000000000000000
χ934-44-44-44-40000-2-4-4442-22-222-20000004i−4i4i−4i00000000-22-220000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000
χ944-44-44-44-40000-2-4-4442-22-222-2000000−4i4i−4i4i00000000-22-2200002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000
χ954-4-4-4-44444-4-4440000-4-444-44-400000000004-4-440000000000000000000000000000000000000000000000000000000000000000
χ964-4-4-4-44444-4-44-2000022-2-22-220000000000-222-223−23−2323000023−23−23230000000000000000000000000000000000000000000000000000
χ974-4-4-4-44444-4-44-2000022-2-22-220000000000-222-2−232323−230000−232323−230000000000000000000000000000000000000000000000000000
χ984-4-4-4-4444-444-440000-4-444-44-40000000000-444-40000000000000000000000000000000000000000000000000000000000000000
χ994-4-4-4-4444-444-4-2000022-2-22-2200000000002-2-2223−23−23230000−232323−230000000000000000000000000000000000000000000000000000
χ1004-4-4-4-4444-444-4-2000022-2-22-2200000000002-2-22−232323−23000023−23−23230000000000000000000000000000000000000000000000000000
χ10188-88-8-88-80000-40000-444-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-888-88-8-80000-400004-4-44-444000000000000000000000000000000000000000000000000000000000000000000000000000000

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