Finite Group Databasebeta

← Group #10694794

Character table — Group #10694794

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222222222222244444444444444444444444444444444441212121212121212121212121212121216161616161616161616161648484848
order122222344444444666666688888888448888121212121212121212121212242424242424242424242424242424248888888888888888444412121212121212128888
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
χ9111111111-1-1-1-1-1-111111111111-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-1i−ii−i
χ10111111111-1-1-1-1-1-111111111111-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-111−ii−ii
χ11111111111-1-1-1-1-1-111111111111-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-1−ii−ii
χ12111111111-1-1-1-1-1-111111111111-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-111i−ii−i
χ13111111111-1-1-1-1-1-11111111-1-1-1-11111-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1-1-111i−i−ii
χ14111111111-1-1-1-1-1-11111111-1-1-1-11111-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii-111-1-1-11111-1-1−iii−i
χ15111111111-1-1-1-1-1-11111111-1-1-1-11111-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1-1-111−iii−i
χ16111111111-1-1-1-1-1-11111111-1-1-1-11111-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-11111-1-1i−i−ii
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χ182222222-2-222-2-2-2-22222222000000002-200002222-2-2-2-2-2-2-2-2000000000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ192222222-2-2-2-22222222222200000000-2-20000-2-2-2-2-2-22222-2-200000000000000000000000022-2-2-2-2220000000000000000
χ202222222-2-2-2-22222222222200000000-2-20000-2-2-2-2-2-22222-2-2000000000000000000000000-2-22222-2-20000000000000000
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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
χ25222222-122-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2222-2-21111-1-11111-1-1-1-1-1-1-1-1-1-11111111100000000000000002-22-2-1-111-1-1110000
χ26222222-122-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2222-2-21111-1-11111-1-1-1-1-1-1-1-1-1-1111111110000000000000000-22-2211-1-111-1-10000
χ27222222-122-2-2-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-22-2-2221111-1-11111-1-111111111-1-1-1-1-1-1-1-100000000000000002-2-22-1-11111-1-10000
χ28222222-122-2-2-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-22-2-2221111-1-11111-1-111111111-1-1-1-1-1-1-1-10000000000000000-222-211-1-1-1-1110000
χ292222-2-22222222-2-2-2-2-2-222222222222-2-2-2-2-2-222-2-2-2-222-2-2222222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ302222-2-22222222-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-222-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
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χ322222-2-2222-2-2-2-222-2-2-2-2222-2-2-2-222222-222-2-2-2-222-2-2-2-22222-2-2-2-222222222-2-2-2-200000000000000000000000000000000
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χ342222-2-22-2-222-2-222-2-2-2-222200000000-22000022-2-222-2-222-2-20000000000000000-2-222-2-222000000000000000000000000
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χ402222-2-2-1222222-2-21111-1-1-1-2-2-2-2-2-2-2-2-2-22222-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i30000
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χ442222-2-2-122-2-2-2-2221111-1-1-1-2-2-2-222222-222-2-211-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000i3−i3−i3i3−i3i3i3−i30000
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χ894-4-4400-24-4000000−2i32i32i3−2i322-200004i−4i−4i4i0000000000−2i32i30000-2200000000−2i2i2i−2i−232323−2300000000000000000000000000000000
χ904-4-4400-24-4000000−2i32i32i3−2i322-20000−4i4i4i−4i0000000000−2i32i30000-22000000002i−2i−2i2i23−23−232300000000000000000000000000000000
χ914-4-4400-24-40000002i3−2i3−2i32i322-200004i−4i−4i4i00000000002i3−2i30000-2200000000−2i2i2i−2i23−23−232300000000000000000000000000000000
χ924-4-4400-24-40000002i3−2i3−2i32i322-20000−4i4i4i−4i00000000002i3−2i30000-22000000002i−2i−2i2i−232323−2300000000000000000000000000000000
χ934-4-4400-2-44000000−2i32i32i3−2i322-24i−4i−4i4i000000000000002i3−2i300002-2−2i2i2i−2i−232323−230000000000000000000000000000000000000000
χ944-4-4400-2-44000000−2i32i32i3−2i322-2−4i4i4i−4i000000000000002i3−2i300002-22i−2i−2i2i23−23−23230000000000000000000000000000000000000000
χ954-4-4400-2-440000002i3−2i3−2i32i322-24i−4i−4i4i00000000000000−2i32i300002-2−2i2i2i−2i23−23−23230000000000000000000000000000000000000000
χ964-4-4400-2-440000002i3−2i3−2i32i322-2−4i4i4i−4i00000000000000−2i32i300002-22i−2i−2i2i−232323−230000000000000000000000000000000000000000

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