Finite Group Databasebeta

← Group #11868749

Character table — Group #11868749

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212124444446612121212121212121212121212121212121244444412121212121212124488121212121212121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ91111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111-1-11-1-1-111-1-111-1-1111111-1-1-1-111-1-11-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-11-1
χ101111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111-1-11-1-1-111-1-111-1-1111111-1-1-1-1-1-1111-11111-1-1-1-11-1-1111-1-1-1-111-1-111-1-111-11
χ111111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111-1-1-11-1-1-1-111-1-11111-1-1-1-1111111-1-11-11111-1-1-1-1-11-11-1-11111-1-1-1-11111-1-1-11
χ121111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111-1-1-11-1-1-1-111-1-11111-1-1-1-11111-1-1111-11111-1-1-1-1-111-1-1-111-1-11111-1-1-1-1111-1
χ131111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-1-1111-1-1-111-1-111-1-1111111-1-1-1-111-1-1-11-1-1-1-11111-111-1-1-11111-1-111-1-1-1-111-11
χ141111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-1-1111-1-1-111-1-111-1-1111111-1-1-1-1-1-111-11-1-1-1-11111-11-11-1-111-1-111-1-11111-1-11-1
χ151111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-1-111-11-1-1-1-111-1-11111-1-1-1-1111111-1-1-11-1-1-1-111111-1-1111-1-111-1-1-1-111-1-1111-1
χ161111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-1-111-11-1-1-1-111-1-11111-1-1-1-11111-1-111-11-1-1-1-111111-11-111-1-1-1-11111-1-111-1-1-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22222002200000000-2-2000000000000-2-222-2-222-2-20000000000000000000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2002200000000-2-200000000000022-2-222-2-2220000000000000000000000
χ192222222-1222222-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1222-1-1-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-12200-1-1-1-100000000000000
χ202222222-1222222-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1222-1-1-1-122222-2-2-1-1-2-2-2-21111-1-111111111000022-1-1-1-1-1-1-1-1-2-200111100000000000000
χ212222222-1222222-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111-2-200111100000000000000
χ222222222-1222222-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-2-1-1-2-2-2-21111-1-1111111110000-2-2111111112200-1-1-1-100000000000000
χ232222222-1-2-2-2-222-12-1-11111-122-1-1-1-1-111-2-2-21111-2222200-1-10000−i3i3−i3i311−i3−i3i3i3−i3−i3i3i30000-2-2-1-111-1-1110000−i3i3−i3i300000000000000
χ242222222-1-2-2-2-222-12-1-11111-122-1-1-1-1-111-2-2-21111-2222200-1-10000i3−i3i3−i311i3i3−i3−i3i3i3−i3−i30000-2-2-1-111-1-1110000i3−i3i3−i300000000000000
χ252222222-1-2-2-2-222-12-1-11111-122-1-1-1-1-111-2-2-21111-2-2-2-2-200-1-10000−i3i3−i3i311−i3−i3i3i3−i3−i3i3i300002211-1-111-1-10000i3−i3i3−i300000000000000
χ262222222-1-2-2-2-222-12-1-11111-122-1-1-1-1-111-2-2-21111-2-2-2-2-200-1-10000i3−i3i3−i311i3i3−i3−i3i3i3−i3−i300002211-1-111-1-10000−i3i3−i3i300000000000000
χ27222222-122222-1-12-1222222-1-1-122-1-1-122-1-1-1-1-1-1-1-1000022-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222000000000000220000-1-1-1-1-1-1-1-1000000
χ28222222-122222-1-12-1222222-1-1-122-1-1-122-1-1-1-1-1-1-1-1000022-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000-2-2000011111111000000
χ29222222-122222-1-12-1222222-1-1-122-1-1-122-1-1-1-1-1-1-1-10000-2-2-1-11111-2-2-2-2-1-1111111112222000000000000-2-20000-1-1-1-11111000000
χ30222222-122222-1-12-1222222-1-1-122-1-1-122-1-1-1-1-1-1-1-10000-2-2-1-11111-2-2-2-2-1-111111111-2-2-2-20000000000002200001111-1-1-1-1000000
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χ322222-2-222-222-222222222222-2-2-2-2222-2-2-2222222-2-2-22200-2-200000000-2-20000000000002-2-2-22222-2-20000000000000000000000
χ332222-2-22-12-2-2222-12-1-11111-1-2-211-1-1-1-1-12-2-21111222-2-22-21122-2-2-1-111-1-1-1-1-1-1111100002-2-1-1-1-111112-200-1-11100000000000000
χ342222-2-22-12-2-2222-12-1-11111-1-2-211-1-1-1-1-12-2-21111222-2-2-2211-2-22211-1-1-1-11111-1-1-1-100002-2-1-1-1-11111-220011-1-100000000000000
χ352222-2-22-12-2-2222-12-1-11111-1-2-211-1-1-1-1-12-2-211112-2-2222-21122-2-2-1-111-1-1-1-1-1-111110000-221111-1-1-1-1-220011-1-100000000000000
χ362222-2-22-12-2-2222-12-1-11111-1-2-211-1-1-1-1-12-2-211112-2-222-2211-2-22211-1-1-1-11111-1-1-1-10000-221111-1-1-1-12-200-1-11100000000000000
χ372222-2-22-1-222-222-12-1-1-1-1-1-1-1-2-211-1-1-111-222-1-1-1-1-222-2-200110000−i3i3i3−i311−i3−i3i3i3i3i3−i3−i30000-22-1-11111-1-10000−i3i3i3−i300000000000000
χ382222-2-22-1-222-222-12-1-1-1-1-1-1-1-2-211-1-1-111-222-1-1-1-1-222-2-200110000i3−i3−i3i311i3i3−i3−i3−i3−i3i3i30000-22-1-11111-1-10000i3−i3−i3i300000000000000
χ392222-2-22-1-222-222-12-1-1-1-1-1-1-1-2-211-1-1-111-222-1-1-1-1-2-2-22200110000−i3i3i3−i311−i3−i3i3i3i3i3−i3−i300002-211-1-1-1-1110000i3−i3−i3i300000000000000
χ402222-2-22-1-222-222-12-1-1-1-1-1-1-1-2-211-1-1-111-222-1-1-1-1-2-2-22200110000i3−i3−i3i311i3i3−i3−i3−i3−i3i3i300002-211-1-1-1-1110000−i3i3i3−i300000000000000
χ412222-2-2-122-2-22-1-12-122-2-2-2-2-111-2-2-1-1-122-1111111-100002-211-1-11122-2-2-1-1-1-1-1-1111122-2-20000000000002-20000-1-111-1-111000000
χ422222-2-2-122-2-22-1-12-122-2-2-2-2-111-2-2-1-1-122-1111111-100002-211-1-11122-2-2-1-1-1-1-1-11111-2-222000000000000-22000011-1-111-1-1000000
χ432222-2-2-122-2-22-1-12-122-2-2-2-2-111-2-2-1-1-122-1111111-10000-221111-1-1-2-222-1-11111-1-1-1-122-2-2000000000000-220000-1-11111-1-1000000
χ442222-2-2-122-2-22-1-12-122-2-2-2-2-111-2-2-1-1-122-1111111-10000-221111-1-1-2-222-1-11111-1-1-1-1-2-2220000000000002-2000011-1-1-1-111000000
χ4522-2-22-22222-2-2-2-222-2-222-2-222-22-22-2-22-222-222-2-2-20000002-2000000002-2000000002-22-20000000000000000002-22-20000000000
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χ4822-2-22-222-2-222-2-222-2-2-2-22222-22-22-2-2-22-2-22-2-22220000002-200000000-2200000000000000000000000000000000000000−2i2i−2i2i00
χ4922-2-22-2-1222-2-2112-1-2-222-2-2-1-112-2-1112-2-1-11-1-1111000000-113−33−30000-113−33−33−33−32-22-2000000000000000000-11-113−33−3000000
χ5022-2-22-2-1222-2-2112-1-2-222-2-2-1-112-2-1112-2-1-11-1-1111000000-113−33−30000-113−33−33−33−3-22-220000000000000000001-11-1−33−33000000
χ5122-2-22-2-1222-2-2112-1-2-222-2-2-1-112-2-1112-2-1-11-1-1111000000-11−33−330000-11−33−33−33−332-22-2000000000000000000-11-11−33−33000000
χ5222-2-22-2-1222-2-2112-1-2-222-2-2-1-112-2-1112-2-1-11-1-1111000000-11−33−330000-11−33−33−33−33-22-220000000000000000001-11-13−33−3000000
χ5322-2-2-22222-22-2-2-222-2-2-2-2222-22-222-2-22-22-22-2-222-2000000-22000000002-2000000002-2-220000000000000000002-2-220000000000
χ5422-2-2-22222-22-2-2-222-2-2-2-2222-22-222-2-22-22-22-2-222-2000000-22000000002-200000000-222-2000000000000000000-222-20000000000
χ5522-2-2-2222-22-22-2-222-2-222-2-22-22-222-2-2-22-22-222-2-22000000-2200000000-22000000000000000000000000000000000000002i−2i−2i2i00
χ5622-2-2-2222-22-22-2-222-2-222-2-22-22-222-2-2-22-22-222-2-22000000-2200000000-2200000000000000000000000000000000000000−2i2i2i−2i00
χ5722-2-2-22-122-22-2112-1-2-2-2-222-11-1-22-1112-2-11-111-1-110000001-13−3−330000-113−33−3−33−332-2-22000000000000000000-111-13−3−33000000
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χ1018-8-8800-4-400004-4444-443−43−434320000-2-2200000−232323−23000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-4444-4−434343−4320000-2-220000023−23−2323000000000000000000000000000000000000000000000000000000000000000

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