Finite Group Databasebeta

← Group #10694766

Character table — Group #10694766

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222222222222244444444444444444444444444444444441212121212121212121212121212121216161616161616161616161648484848
order12222234444444466666668888888844888812121212121212121212121224242424242424242424242424242424888888888888888822446666121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ9111111111-1-1-1-1-1-111111111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-1i−ii−i
χ10111111111-1-1-1-1-1-111111111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-111−ii−ii
χ11111111111-1-1-1-1-1-111111111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-1−ii−ii
χ12111111111-1-1-1-1-1-111111111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-111i−ii−i
χ13111111111-1-1-1-1-1-11111111-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1-1-111i−i−ii
χ14111111111-1-1-1-1-1-11111111-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii-111-1-1-11111-1-1−iii−i
χ15111111111-1-1-1-1-1-11111111-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1-1-111−iii−i
χ16111111111-1-1-1-1-1-11111111-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-11111-1-1i−i−ii
χ172222222-2-222-2-222222222200000000-2-200002222-2-2-2-2-2-2-2-200000000000000000000000022-2-222-2-20000000000000000
χ182222222-2-222-2-222222222200000000-2-200002222-2-2-2-2-2-2-2-2000000000000000000000000-2-222-2-2220000000000000000
χ192222222-2-2-2-222-2-22222222000000002-20000-2-2-2-22222-2-2-2-20000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ202222222-2-2-2-222-2-22222222000000002-20000-2-2-2-22222-2-2-2-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ21222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ22222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ23222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000022-2-2-1-1-1-111110000
χ24222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2221111-1-1-1-10000
χ25222222-122-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-11111111100000000000000002-22-2-1-111-1-1110000
χ26222222-122-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-22-2211-1-111-1-10000
χ27222222-122-2-2-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-22-2-22211111111-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000002-2-22-1-11111-1-10000
χ28222222-122-2-2-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-22-2-22211111111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000-222-211-1-1-1-1110000
χ292222-2-22222222-2-2-2-2-2-222222222222-2-2-2-2-2-222-2-222-2-2-2-2222222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ302222-2-22222222-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-2222222-2-222-2-2-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ312222-2-2222-2-2-2-222-2-2-2-22222222-2-2-2-22-2-2-222-2-222-2-222-2-2222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ322222-2-2222-2-2-2-222-2-2-2-2222-2-2-2-222222-222-2-2-2-222-2-222-2-222-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ332222-2-22-2-222-2-2-2-2-2-2-2-22220000000022000022-2-2-2-22222-2-200000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ342222-2-22-2-222-2-2-2-2-2-2-2-22220000000022000022-2-2-2-22222-2-20000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ352222-2-22-2-2-2-22222-2-2-2-222200000000-220000-2-22222-2-222-2-2000000000000000022-2-2-2-222000000000000000000000000
χ362222-2-22-2-2-2-22222-2-2-2-222200000000-220000-2-22222-2-222-2-20000000000000000-2-22222-2-2000000000000000000000000
χ372222-2-2-1222222-2-21111-1-1-122222222-2-2-2-2-2-2-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1111100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ382222-2-2-1222222-2-21111-1-1-122222222-2-2-2-2-2-2-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1111100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ392222-2-2-1222222-2-21111-1-1-1-2-2-2-2-2-2-2-2-2-22222-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ402222-2-2-1222222-2-21111-1-1-1-2-2-2-2-2-2-2-2-2-22222-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ412222-2-2-122-2-2-2-2221111-1-1-12222-2-2-2-22-2-2-22211-1-111-1-111-1-1-1-1-1-111111111-1-1-1-100000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ422222-2-2-122-2-2-2-2221111-1-1-12222-2-2-2-22-2-2-22211-1-111-1-111-1-1-1-1-1-111111111-1-1-1-100000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ432222-2-2-122-2-2-2-2221111-1-1-1-2-2-2-222222-222-2-211-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111100000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ442222-2-2-122-2-2-2-2221111-1-1-1-2-2-2-222222-222-2-211-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111100000000000000000000i3−i3−i3i3−i3i3i3−i30000
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χ4622-2-22-22002-2002-222-2-22-2-2−i2−i2i2i2−i2−i2i2i200−i2i2−i2i22-22-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−22−22−22−2200−2i2i00−2i2i0000000000000000
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χ4922-2-22-2200-2200-2222-2-22-2-2−i2−i2i2i2i2i2−i2−i200−i2i2i2−i2-22-2200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2i2−i2i2i2−i2i2−i2002-200-220000000000000000
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χ5122-2-22-2200-2200-2222-2-22-2-2i2i2−i2−i2−i2−i2i2i200i2−i2−i2i2-22-2200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2i2i2−i2i2−i200-22002-20000000000000000
χ5222-2-22-2200-2200-2222-2-22-2-2i2i2−i2−i2−i2−i2i2i200i2−i2−i2i2-22-2200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2−i2i2−i2−i2i2−i2i2002-200-220000000000000000
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χ5422-2-2-222002-200-22-2-2222-2-2−i2−i2i2i2−i2−i2i2i200i2−i2i2−i22-2-2200000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2−i2−i2i2i2−i2−i2i2-2200-22000000000000000000
χ5522-2-2-222002-200-22-2-2222-2-2i2i2−i2−i2i2i2−i2−i200−i2i2−i2i22-2-2200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2i2i2−i2−i2i2i2−i2-2200-22000000000000000000
χ5622-2-2-222002-200-22-2-2222-2-2i2i2−i2−i2i2i2−i2−i200−i2i2−i2i22-2-2200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2−i2−i2i2i2−i2−i2i22-2002-2000000000000000000
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χ5922-2-2-22200-22002-2-2-2222-2-2i2i2−i2−i2−i2−i2i2i200−i2i2i2−i2-222-200000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i22−2−22−222−2−2i2i002i−2i000000000000000000
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χ61444444-2-4-444-4-444-2-2-2-2-2-2-200000000-4-40000-2-2-2-222222222000000000000000000000000000000000000000000000000
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χ6844-4-44-4-200-4400-44-2-222-2222i22i2−2i2−2i2−2i2−2i22i22i2002i2−2i2−2i22i22-22-200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000
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χ864-4-440044-40000000000-4-440000-444-400000000000000004-400000000-444-4000000000000000000000000000000000000
χ874-4-44004-440000000000-4-444-4-4400000000000000000000-444-4-4400000000000000000000000000000000000000000000
χ884-4-44004-440000000000-4-44-444-400000000000000000000-44-444-400000000000000000000000000000000000000000000
χ894-4-4400-24-4000000−2i32i32i3−2i322-200004-4-4400000000000000−2i32i3-2200000000-222-22i3−2i3−2i32i300000000000000000000000000000000
χ904-4-4400-24-4000000−2i32i32i3−2i322-20000-444-400000000000000−2i32i3-22000000002-2-22−2i32i32i3−2i300000000000000000000000000000000
χ914-4-4400-24-40000002i3−2i3−2i32i322-200004-4-44000000000000002i3−2i3-2200000000-222-2−2i32i32i3−2i300000000000000000000000000000000
χ924-4-4400-24-40000002i3−2i3−2i32i322-20000-444-4000000000000002i3−2i3-22000000002-2-222i3−2i3−2i32i300000000000000000000000000000000
χ934-4-4400-2-44000000−2i32i32i3−2i322-24-4-440000000000000000002i3−2i32-2-222-22i3−2i3−2i32i30000000000000000000000000000000000000000
χ944-4-4400-2-44000000−2i32i32i3−2i322-2-444-40000000000000000002i3−2i32-22-2-22−2i32i32i3−2i30000000000000000000000000000000000000000
χ954-4-4400-2-440000002i3−2i3−2i32i322-24-4-44000000000000000000−2i32i32-2-222-2−2i32i32i3−2i30000000000000000000000000000000000000000
χ964-4-4400-2-440000002i3−2i3−2i32i322-2-444-4000000000000000000−2i32i32-22-2-222i3−2i3−2i32i30000000000000000000000000000000000000000

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