Finite Group Databasebeta

← Group #10827371

Character table — Group #10827371

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444444444444444444444444444488888888888888888888888888121212121212121224242424242424244848
order12222222222234444666666644444444446666121212121212121212121212121212121212121222244444666666121212121212121212121212888888882222888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ4111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ911111111-1-1-1-1111111111111-1-111-1-11111-1-1-1-111111111-1-1-1-1111111111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ1011111111-1-1-1-1111111111111-1-111-1-11111-1-1-1-111111111-1-1-1-1111111111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ1111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-11
χ1211111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1
χ1311111111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111111111-1111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ1411111111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111111111-1111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1
χ1511111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-111-1-1-11
χ172222222222222-2-2-2-22222222-2-2222200002222-2-2-2-22222222200000000-200-20000-2-20000-2-2-2-200000000000000000000000000
χ182222222222222-2-2-2-22222222-2-2-2-2-2-200002222-2-2-2-2-2-2-2-2-2-2-2-20000000020020000220000-2-22200000000000000000000000000
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
χ20222222222222-12222-1-1-1-1-1-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111112-2-22-2-2-2-2-1-11111-1-1-1-111111111000000000000000000
χ21222222222222-12222-1-1-1-1-1-1-122-2-2-2-22222-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-2-2-222111111-1-1111111-1-1-1-1000000000000000000
χ22222222222222-12222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-222-222-2-211-1-1-1-1-1-111-1-1-1-11111000000000000000000
χ23222222222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222220000-1-1-1-11111-1-1-1-1-1-1-1-1−i3−i3−i3−i3i3i3i3i3-200-2000011−i3−i3i3i31111−i3−i3i3i3−i3−i3i3i3000000000000000000
χ24222222222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222220000-1-1-1-11111-1-1-1-1-1-1-1-1i3i3i3i3−i3−i3−i3−i3-200-2000011i3i3−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−i3i3i3i3i320020000-1-1i3i3−i3−i311-1-1i3i3−i3−i3−i3−i3i3i3000000000000000000
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−i320020000-1-1−i3−i3i3i311-1-1−i3−i3i3i3i3i3−i3−i3000000000000000000
χ2722222222-2-2-2-22-2-2-2-222222222222-2-20000-2-2-2-2-2-2-2-22222-2-2-2-200000000-20020000-2-20000222200000000000000000000000000
χ2822222222-2-2-2-22-2-2-2-2222222222-2-2220000-2-2-2-2-2-2-2-2-2-2-2-2222200000000200-2000022000022-2-200000000000000000000000000
χ2922222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-222-2-222221111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-12-2-2-222-2-2-1-111111111-1-1-1-11111000000000000000000
χ3022222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-222-2-2-2-2-2-21111-1-1-1-1-1-1-1-1111111111111222-2-2-222-1-1-1-1-1-111111111-1-1-1-1000000000000000000
χ3122222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-22222221111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-2222-2-2-2-211-1-1-1-111-1-111111111000000000000000000
χ3222222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-21111-1-1-1-11111-1-1-1-111111111-2-2-22222211111111-1-1-1-1-1-1-1-1-1-1000000000000000000
χ3322222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-12222-2-2000011111111-1-1-1-11111−i3−i3−i3−i3i3i3i3i3-2002000011i3i3−i3−i3-1-1-1-1−i3−i3i3i3i3i3−i3−i3000000000000000000
χ3422222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-12222-2-2000011111111-1-1-1-11111i3i3i3i3−i3−i3−i3−i3-2002000011−i3−i3i3i3-1-1-1-1i3i3−i3−i3−i3−i3i3i3000000000000000000
χ3522222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-122-2-2220000111111111111-1-1-1-1−i3−i3−i3−i3i3i3i3i3200-20000-1-1−i3−i3i3i3-1-111i3i3−i3−i3i3i3−i3−i3000000000000000000
χ3622222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-122-2-2220000111111111111-1-1-1-1i3i3i3i3−i3−i3−i3−i3200-20000-1-1i3i3−i3−i3-1-111−i3−i3i3i3−i3−i3i3i3000000000000000000
χ372222-2-2-2-222-2-22000022-2-22-2-2002i−2i2i−2i000022-2-200002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000−i2−i2i2i2−i2−i2i2i200002−22−200
χ382222-2-2-2-222-2-22000022-2-22-2-2002i−2i2i−2i000022-2-200002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000i2i2−i2−i2i2i2−i2−i20000−22−2200
χ392222-2-2-2-222-2-22000022-2-22-2-200−2i2i−2i2i000022-2-20000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000−i2−i2i2i2−i2−i2i2i20000−22−2200
χ402222-2-2-2-222-2-22000022-2-22-2-200−2i2i−2i2i000022-2-20000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000i2i2−i2−i2i2i2−i2−i200002−22−200
χ412222-2-2-2-2-2-2222000022-2-22-2-2002i−2i−2i2i0000-2-22200002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000−i2−i2i2i2i2i2−i2−i200002−2−2200
χ422222-2-2-2-2-2-2222000022-2-22-2-2002i−2i−2i2i0000-2-22200002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000i2i2−i2−i2−i2−i2i2i20000−222−200
χ432222-2-2-2-2-2-2222000022-2-22-2-200−2i2i2i−2i0000-2-2220000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000−i2−i2i2i2i2i2−i2−i20000−222−200
χ442222-2-2-2-2-2-2222000022-2-22-2-200−2i2i2i−2i0000-2-2220000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000i2i2−i2−i2−i2−i2i2i200002−2−2200
χ4522-2-22-22-20000222-2-22-22-2-22-20000002i2i−2i−2i000022-2-2000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000002i−2i2i−2i002-2000000
χ4622-2-22-22-20000222-2-22-22-2-22-20000002i2i−2i−2i000022-2-2000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000−2i2i−2i2i00-22000000
χ4722-2-22-22-20000222-2-22-22-2-22-2000000−2i−2i2i2i000022-2-200000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000002i−2i2i−2i00-22000000
χ4822-2-22-22-20000222-2-22-22-2-22-2000000−2i−2i2i2i000022-2-200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000−2i2i−2i2i002-2000000
χ492-22-22-2-22000022-22-2-22-22-22-20000002i−2i2i−2i00002-22-2000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000002i−2i2i−2i00002-200000000
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χ522-22-22-2-22000022-22-2-22-22-22-2000000−2i2i−2i2i00002-22-200000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000−2i2i−2i2i00002-200000000
χ532-2-2222-2-22-22-222-2-22-2-2-2-22222-200002-2-222-22-22-2-22000000002-2-222-2-220000002-20000002-20000002-22-2000000000000000000
χ542-2-2222-2-22-22-222-2-22-2-2-2-22222-20000-222-22-22-22-2-2200000000-222-2-222-2000000-220000002-2000000-22-22000000000000000000
χ552-2-2222-2-22-22-22-222-2-2-2-2-2222-22000000002-22-2-222-2000000000000000002-202-200002-22-2-22002-22-20000000000000000000000
χ562-2-2222-2-22-22-22-222-2-2-2-2-2222-22000000002-22-2-222-200000000000000000-220-220000-22-22-2200-22-220000000000000000000000
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χ592-2-2222-2-22-22-2-12-2-221111-1-1-12-20000-222-2-11-11-111-1−i3i3−i3i3−i3i3−i3i31-1-111-1-11000000-22−i3i3i3−i3−i3i3-11−i3i3i3−i3−i3i31-11-1000000000000000000
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χ652-2-2222-2-2-22-2222-2-22-2-2-2-2222-2200002-2-22-22-222-2-22000000002-2-222-2-22000000-22000000-22000000-22-22000000000000000000
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χ8644-4-4-44-440000400004-4-44-4-44000000000000000000000000000000000000000000000000000000000000000022−22−22220000000000
χ8744-4-4-44-440000400004-4-44-4-440000000000000000000000000000000000000000000000000000000000000000−222222−220000000000
χ884-44-44-4-4400004-44-44-44-44-44-400000000000000-44-44000000000000000000000000000000000000000000000000000000000000
χ894-44-44-4-440000-24-44-42-22-22-220000004i−4i4i−4i0000-22-2200000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000
χ904-44-44-4-440000-24-44-42-22-22-22000000−4i4i−4i4i0000-22-22000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000
χ914-44-44-4-440000-2-44-442-22-22-22000000000000002-22-20000000023−2323−23−2323−232300000000000000000000000000000000000000000000
χ924-44-44-4-440000-2-44-442-22-22-22000000000000002-22-200000000−2323−232323−2323−2300000000000000000000000000000000000000000000
χ934-44-4-444-4000040000-444-4-4-4400000000000000000000000000000000000000000000000000000000000022−22−222200000000000000
χ944-44-4-444-4000040000-444-4-4-44000000000000000000000000000000000000000000000000000000000000−222222−2200000000000000
χ954-4-44-4-4444-4-4440000-4-4444-4-400000000004-4-440000000000000000000000000000000000000000000000000000000000000000
χ964-4-44-4-4444-4-44-2000022-2-2-2220000000000-222-2000023−23−232323−23−23230000000000000000000000000000000000000000000000000000
χ974-4-44-4-4444-4-44-2000022-2-2-2220000000000-222-20000−232323−23−232323−230000000000000000000000000000000000000000000000000000
χ984-4-44-4-444-444-440000-4-4444-4-40000000000-444-40000000000000000000000000000000000000000000000000000000000000000
χ994-4-44-4-444-444-4-2000022-2-2-22200000000002-2-22000023−23−2323−232323−230000000000000000000000000000000000000000000000000000
χ1004-4-44-4-444-444-4-2000022-2-2-22200000000002-2-220000−232323−2323−23−23230000000000000000000000000000000000000000000000000000
χ10188-8-8-88-880000-40000-444-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-888-80000-400004-4-4444-4000000000000000000000000000000000000000000000000000000000000000000000000000000

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