Finite Group Databasebeta

← Group #11868985

Character table — Group #11868985

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212124466121212121212121212121212121212121212444444448888242424242424242444121212121212121212121212222288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1
χ91111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-1-1-11111-1-1-1-1111111-1-1-1-1111-1-1-11-111-1-11111-1-1-1-11-111-1-11-11-111-1-111-1-11-1
χ101111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-1-1-11111-1-1-1-1111111-1-1-1-111-11-1-1-1111-1-11111-1-1-1-1-1111-1-1-11-11-1-111-1-111-11
χ111111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-1-1-11111-1-1-1-1111111-1-1-1-1-1-11-1111-1-1-111-1-1-1-111111-1-1-1111-11-111-1-1-1-111-11
χ121111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1111-11-1-111-1-1-1-11111-11-1-111-11-11-1-11111-1-11-1
χ131111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-1-1-11111111-1-1-11-1-1-111-1-1-1-11111-1111-1-11-11-1-1-11111-1-1-11
χ141111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-1-1-1111111-11-1-1-11-1-111-1-1-1-111111-111-1-1-11-1111-1-1-1-1111-1
χ151111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-1-1-11111-1-11-1111-111-1-11111-1-1-1-1-11-1-1111-11-1-1-111-1-1111-1
χ161111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-1-1-11111-1-1-1111-1111-1-11111-1-1-1-11-1-1-111-11-1111-1-111-1-1-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2002200000000-2-200000000002-200-220000000000000000002-2-220000000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2002200000000-2-20000000000-22002-2000000000000000000-222-20000000000
χ192222222-122222-122-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100220022000000000000220000-1-1-1-1-1-1-1-1000000
χ202222222-122222-122-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000000-2-2000011111111000000
χ212222222-122222-122-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-12-2-2-1-1-2-211-2-211-1-11111111100220022000000000000-2-20000-1-1-1-11111000000
χ222222222-122222-122-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-12-2-2-1-1-2-211-2-211-1-11111111100-2-200-2-20000000000002200001111-1-1-1-1000000
χ232222222-1-2-2-2-22-122-1-1-2-2-2-2-122-1-1-1-1-1-211111111-200-1-100−i3i300−i3i311−i3−i3i3i3−i3−i3i3i3002-200-22000000000000000000-111-1−i3i3−i3i3000000
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χ252222222-1-2-2-2-22-122-1-1-2-2-2-2-122-1-1-1-1-1-211111111-200-1-100i3−i300i3−i311i3i3−i3−i3i3i3−i3−i3002-200-22000000000000000000-111-1i3−i3i3−i3000000
χ262222222-1-2-2-2-22-122-1-1-2-2-2-2-122-1-1-1-1-1-211111111-200-1-100i3−i300i3−i311i3i3−i3−i3i3i3−i3−i300-22002-20000000000000000001-1-11−i3i3−i3i3000000
χ27222222-122222-12-1-122-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1220022002222-1-1-1-1-1-1-1-100-1-1-1-100000000000000
χ28222222-122222-12-1-122-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-200-2-200-2-2-2-21111111100111100000000000000
χ29222222-122222-12-1-122-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-2-2-1-111-2-211-2-2-1-11111111122002200-2-2-2-21111111100-1-1-1-100000000000000
χ30222222-122222-12-1-122-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-2-2-1-111-2-211-2-2-1-111111111-2-200-2-2002222-1-1-1-1-1-1-1-100111100000000000000
χ312222-2-222-222-222222222222-2-2-2-2222-2-2-2222222-200-2-200000000-2-200000000002200-2-200000000000000000022-2-20000000000
χ322222-2-222-222-222222222222-2-2-2-2222-2-2-2222222-200-2-200000000-2-20000000000-2-20022000000000000000000-2-2220000000000
χ332222-2-22-12-2-222-122-1-1-2-2-2-2-1-2-211-1-1-12-1-111111122-21122-1-1-2-211-1-1-1-1-1-11111002-2002-20000000000002-20000-11-11-1-111000000
χ342222-2-22-12-2-222-122-1-1-2-2-2-2-1-2-211-1-1-12-1-111111122-21122-1-1-2-211-1-1-1-1-1-1111100-2200-22000000000000-2200001-11-111-1-1000000
χ352222-2-22-12-2-222-122-1-1-2-2-2-2-1-2-211-1-1-12-1-11111112-2211-2-21122-1-1-1-11111-1-1-1-1002-2002-2000000000000-220000-11-1111-1-1000000
χ362222-2-22-12-2-222-122-1-1-2-2-2-2-1-2-211-1-1-12-1-11111112-2211-2-21122-1-1-1-11111-1-1-1-100-2200-220000000000002-200001-11-1-1-111000000
χ372222-2-22-1-222-22-122-1-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-2001100−i3i300i3−i311−i3−i3i3i3i3i3−i3−i3002200-2-2000000000000000000-1-111−i3i3i3−i3000000
χ382222-2-22-1-222-22-122-1-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-2001100−i3i300i3−i311−i3−i3i3i3i3i3−i3−i300-2-2002200000000000000000011-1-1i3−i3−i3i3000000
χ392222-2-22-1-222-22-122-1-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-2001100i3−i300−i3i311i3i3−i3−i3−i3−i3i3i3002200-2-2000000000000000000-1-111i3−i3−i3i3000000
χ402222-2-22-1-222-22-122-1-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-2001100i3−i300−i3i311i3i3−i3−i3−i3−i3i3i300-2-2002200000000000000000011-1-1−i3i3i3−i3000000
χ412222-2-2-122-2-22-12-1-1221111-111-2-2-1-1-1-122-2-21111-12-211-1-12211-2-2-1-1-1-1-1-111112200-2-20022-2-2-1-1-1-1111100-1-11100000000000000
χ422222-2-2-122-2-22-12-1-1221111-111-2-2-1-1-1-122-2-21111-12-211-1-12211-2-2-1-1-1-1-1-11111-2-2002200-2-2221111-1-1-1-10011-1-100000000000000
χ432222-2-2-122-2-22-12-1-1221111-111-2-2-1-1-1-122-2-21111-1-221111-2-2-1-122-1-11111-1-1-1-12200-2-200-2-2221111-1-1-1-100-1-11100000000000000
χ442222-2-2-122-2-22-12-1-1221111-111-2-2-1-1-1-122-2-21111-1-221111-2-2-1-122-1-11111-1-1-1-1-2-200220022-2-2-1-1-1-111110011-1-100000000000000
χ4522-2-22-22222-2-222-2-2-2-222-2-222-22-22-2-222-22-222-2-2-2002-2000000002-20000000000000000000000000000000000000000002-22-200
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χ4822-2-22-222-2-22222-2-2-2-2-2-22222-22-22-2-2-2-22-22-2-2222002-200000000-2200000000−2i2i00−2i2i0000000000000000−2i2i−2i2i00000000000000
χ4922-2-22-2-12-2-222-1211-2-211-1-1-1-112-2-1111-22-2211-1-1-100-113−3003−3001-13−33−33−33−32i−2i002i−2i000000−i3−i3i3i3−i3−i3i3i300−ii−ii00000000000000
χ5022-2-22-2-12-2-222-1211-2-211-1-1-1-112-2-1111-22-2211-1-1-100-113−3003−3001-13−33−33−33−3−2i2i00−2i2i000000i3i3−i3−i3i3i3−i3−i300i−ii−i00000000000000
χ5122-2-22-2-12-2-222-1211-2-211-1-1-1-112-2-1111-22-2211-1-1-100-11−3300−33001-1−33−33−33−332i−2i002i−2i000000i3i3−i3−i3i3i3−i3−i300−ii−ii00000000000000
χ5222-2-22-2-12-2-222-1211-2-211-1-1-1-112-2-1111-22-2211-1-1-100-11−3300−33001-1−33−33−33−33−2i2i00−2i2i000000−i3−i3i3i3−i3−i3i3i300i−ii−i00000000000000
χ5322-2-2-22222-22-222-2-2-2-2-2-2222-22-222-2-222-2-22-2-222-200-22000000002-20000000000000000000000000000000000000000002-2-2200
χ5422-2-2-22222-22-222-2-2-2-2-2-2222-22-222-2-222-2-22-2-222-200-22000000002-2000000000000000000000000000000000000000000-222-200
χ5522-2-2-2222-22-2222-2-2-2-222-2-22-22-222-2-2-2-222-222-2-2200-2200000000-22000000002i−2i00−2i2i00000000000000002i−2i−2i2i00000000000000
χ5622-2-2-2222-22-2222-2-2-2-222-2-22-22-222-2-2-2-222-222-2-2200-2200000000-2200000000−2i2i002i−2i0000000000000000−2i2i2i−2i00000000000000
χ5722-2-2-22-12-22-22-1211-2-2-1-111-11-1-22-1111-222-2-1-111-1001-13−300−33001-13−33−3−33−332i−2i00−2i2i000000−i3−i3i3i3i3i3−i3−i300−iii−i00000000000000
χ5822-2-2-22-12-22-22-1211-2-2-1-111-11-1-22-1111-222-2-1-111-1001-13−300−33001-13−33−3−33−33−2i2i002i−2i000000i3i3−i3−i3−i3−i3i3i300i−i−ii00000000000000
χ5922-2-2-22-12-22-22-1211-2-2-1-111-11-1-22-1111-222-2-1-111-1001-1−33003−3001-1−33−333−33−32i−2i00−2i2i000000i3i3−i3−i3−i3−i3i3i300−iii−i00000000000000
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χ978-88-8008-40000-848-8-440000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-4000044-44-4443−4343−4320000-22-200000−2323−2323000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-4000044-44-44−4343−434320000-22-20000023−2323−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-40000-84-884-40000-4000044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-40000444-44-443−43−434320000-2-2200000−232323−23000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-40000444-44-4−434343−4320000-2-220000023−23−2323000000000000000000000000000000000000000000000000000000000000000

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