Finite Group Databasebeta

← Group #11787115

Character table — Group #11787115

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order12442223344466661212121212123666666661212121212121212124466121212121212121212121212121212121212888888888888242424242424242488242424242424242424242424224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ911-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-1-1-1ii−i−iii−i−iii−i−iiiii−i−i−i−ii−iii−i−iii−i−iii−i−i1-11-11-1
χ1011-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-1-1-1ii−i−iii−i−i−i−iiiiiii−i−i−i−i−ii−i−iiiii−i−i−i−iii-11-11-11
χ1111-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−iiiii−i−i−i−i−i−iiiiii−iii−i−i−i−iiiii−i−i-11-11-11
χ1211-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−i−i−iiiii−ii−i−iii−i−iii−i−iii1-11-11-1
χ1311-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1111111ii−i−i−i−iiiii−i−iiiii−i−i−i−i−iiii−i−i−i−iii−i−iii-11-111-1
χ1411-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1111111ii−i−i−i−iii−i−iiiiiii−i−i−i−ii−i−i−iii−i−iiiii−i−i1-11-1-11
χ1511-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1111111−i−iiiii−i−iii−i−i−i−i−i−iiiii−iiii−i−iii−i−i−i−iii1-11-1-11
χ1611-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1111111−i−iiiii−i−i−i−iii−i−i−i−iiiiii−i−i−iiiii−i−iii−i−i-11-111-1
χ1722222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022220000000022-1-1-1-10000-1-1-1-1000000
χ1822222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200000000-2-2111100001111000000
χ1922222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2-1-111111111111100000000222200000000-2-2-1-1-1-100001111000000
χ2022222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2-1-111111111111100000000-2-2-2-2000000002211110000-1-1-1-1000000
χ212222222-12222-1-1-12-1-122-1-1-1-1-1222-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222222220000-1-1-1-1-1-1-1-1000000-1-1-1-10000000000
χ222222222-12222-1-1-12-1-122-1-1-1-1-1222-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-200001111111100000011110000000000
χ232222222-12222-1-1-12-1-122-1-1-1-1-1222-1-1-1-1-122-1-1-1-12-2-2-1-11111-1-1-2-21111-2-211112222-2-2-2-20000-1-1-1-1-1-1-1-100000011110000000000
χ242222222-12222-1-1-12-1-122-1-1-1-1-1222-1-1-1-1-122-1-1-1-12-2-2-1-11111-1-1-2-21111-2-21111-2-2-2-22222000011111111000000-1-1-1-10000000000
χ2522222-2-222-2-222-2-22-2-2222222-22-2-22-2-22-2-2-222-2-22002-200002-200000000000000000000000000000000000000000000002-2-2200
χ2622222-2-222-2-222-2-22-2-2222222-22-2-22-2-22-2-2-222-2-22002-200002-20000000000000000000000000000000000000000000000-222-200
χ272222-22-2222-2-222222222222-2-2-2-22222-2-22-22222-200-2-20000-2-200000000000000002-22-20000000000000000002-22-20000000000
χ282222-22-2222-2-222222222222-2-2-2-22222-2-22-22222-200-2-20000-2-20000000000000000-22-22000000000000000000-22-220000000000
χ292222-22-2-122-2-2-1-1-12-1-122-1-1-111-2-22-1-1-1112-2-1-1-1-1-20011−i3i3−i3i31100−i3−i3i3i300−i3−i3i3i300002-22-20000−i3−i3i3i3−i3−i3i3i3000000-11-110000000000
χ302222-22-2-122-2-2-1-1-12-1-122-1-1-111-2-22-1-1-1112-2-1-1-1-1-20011−i3i3−i3i31100−i3−i3i3i300−i3−i3i3i30000-22-220000i3i3−i3−i3i3i3−i3−i30000001-11-10000000000
χ312222-22-2-122-2-2-1-1-12-1-122-1-1-111-2-22-1-1-1112-2-1-1-1-1-20011i3−i3i3−i31100i3i3−i3−i300i3i3−i3−i300002-22-20000i3i3−i3−i3i3i3−i3−i3000000-11-110000000000
χ322222-22-2-122-2-2-1-1-12-1-122-1-1-111-2-22-1-1-1112-2-1-1-1-1-20011i3−i3i3−i31100i3i3−i3−i300i3i3−i3−i30000-22-220000−i3−i3i3i3−i3−i3i3i30000001-11-10000000000
χ332222-2-2222-22-22-2-22-2-222222-22-22-22-2-2-22-2222-2-2-200-220000-22000000000000000000002-22-200000000002-22-200000000000000
χ342222-2-2222-22-22-2-22-2-222222-22-22-22-2-2-22-2222-2-2-200-220000-2200000000000000000000-22-220000000000-22-2200000000000000
χ352222-2-222-1-22-22-2-2-1-2-2-1-122-1-221-11-111-221-1-1-1111001-100001-13−33−33−33−33−33−3000000002-22-20000000000-11-1100003−33−3000000
χ362222-2-222-1-22-22-2-2-1-2-2-1-122-1-221-11-111-221-1-1-1111001-100001-13−33−33−33−33−33−300000000-22-2200000000001-11-10000−33−33000000
χ372222-2-222-1-22-22-2-2-1-2-2-1-122-1-221-11-111-221-1-1-1111001-100001-1−33−33−33−33−33−33000000002-22-20000000000-11-110000−33−33000000
χ382222-2-222-1-22-22-2-2-1-2-2-1-122-1-221-11-111-221-1-1-1111001-100001-1−33−33−33−33−33−3300000000-22-2200000000001-11-100003−33−3000000
χ3922-2-22222-1-2-2-2222-1-2-211-2-2-122-1-1-1-1-1-1-2-211111112-2-1-122-2-211-1-1-1-1-1-1111111000000002i2i−2i−2i000000002i−2i−i−iii0000−i−iii000000
χ4022-2-22222-1-2-2-2222-1-2-211-2-2-122-1-1-1-1-1-1-2-211111112-2-1-122-2-211-1-1-1-1-1-111111100000000−2i−2i2i2i00000000−2i2iii−i−i0000ii−i−i000000
χ4122-2-22222-1-2-2-2222-1-2-211-2-2-122-1-1-1-1-1-1-2-21111111-22-1-1-2-22211111111-1-1-1-1-1-1000000002i2i−2i−2i00000000−2i2i−i−iii0000ii−i−i000000
χ4222-2-22222-1-2-2-2222-1-2-211-2-2-122-1-1-1-1-1-1-2-21111111-22-1-1-2-22211111111-1-1-1-1-1-100000000−2i−2i2i2i000000002i−2iii−i−i0000−i−iii000000
χ4322-2-2222-12-2-2-2-1-1-1211-2-211-1-1-1222-1-1-111-2-21111-22-2-1-1-1-1111122-1-1-1-1-2-211112i2i−2i−2i2i2i−2i−2i0000−i−i−i−iiiii000000−i−iii0000000000
χ4422-2-2222-12-2-2-2-1-1-1211-2-211-1-1-1222-1-1-111-2-21111-22-2-1-1-1-1111122-1-1-1-1-2-21111−2i−2i2i2i−2i−2i2i2i0000iiii−i−i−i−i000000ii−i−i0000000000
χ4522-2-2222-12-2-2-2-1-1-1211-2-211-1-1-1222-1-1-111-2-21111-2-22-1-111-1-111-2-2111122-1-1-1-12i2i−2i−2i−2i−2i2i2i0000−i−i−i−iiiii000000ii−i−i0000000000
χ4622-2-2222-12-2-2-2-1-1-1211-2-211-1-1-1222-1-1-111-2-21111-2-22-1-111-1-111-2-2111122-1-1-1-1−2i−2i2i2i2i2i−2i−2i0000iiii−i−i−i−i000000−i−iii0000000000
χ4722-2-22-2-22222-22-2-2222-2-2-2-222-22-2-22-2-2-2222-2-222-2002-20000-22000000000000000000000000000000000000000000000022-2-200
χ4822-2-22-2-22222-22-2-2222-2-2-2-222-22-2-22-2-2-2222-2-222-2002-20000-220000000000000000000000000000000000000000000000-2-22200
χ4922-2-2-22-222-2222222-2-2-2-2-2-22-2-2-2-2222222-22-2-2-2-2200-2-200002200000000000000002i−2i−2i2i0000000000000000002i−2i−2i2i0000000000
χ5022-2-2-22-222-2222222-2-2-2-2-2-22-2-2-2-2222222-22-2-2-2-2200-2-20000220000000000000000−2i2i2i−2i000000000000000000−2i2i2i−2i0000000000
χ5122-2-2-22-2-12-222-1-1-1211-2-211-111-2-22-1-1-1-1-1-22111120011−i3i3i3−i3-1-100−i3−i3i3i300i3i3−i3−i300002i−2i−2i2i000033−3−3−3−333000000−iii−i0000000000
χ5222-2-2-22-2-12-222-1-1-1211-2-211-111-2-22-1-1-1-1-1-22111120011−i3i3i3−i3-1-100−i3−i3i3i300i3i3−i3−i30000−2i2i2i−2i0000−3−33333−3−3000000i−i−ii0000000000
χ5322-2-2-22-2-12-222-1-1-1211-2-211-111-2-22-1-1-1-1-1-22111120011i3−i3−i3i3-1-100i3i3−i3−i300−i3−i3i3i300002i−2i−2i2i0000−3−33333−3−3000000−iii−i0000000000
χ5422-2-2-22-2-12-222-1-1-1211-2-211-111-2-22-1-1-1-1-1-22111120011i3−i3−i3i3-1-100i3i3−i3−i300−i3−i3i3i30000−2i2i2i−2i000033−3−3−3−333000000i−i−ii0000000000
χ5522-2-2-2-22222-222-2-2222-2-2-2-22-22-22-22-2-22-22-2-2-222200-2200002-2000000000000000000002i−2i−2i2i00000000002i−2i−2i2i00000000000000
χ5622-2-2-2-22222-222-2-2222-2-2-2-22-22-22-22-2-22-22-2-2-222200-2200002-200000000000000000000−2i2i2i−2i0000000000−2i2i2i−2i00000000000000
χ5722-2-2-2-222-12-222-2-2-12211-2-2-1-221-11-1112-2-1111-1-1-1001-10000-113−33−33−3−33−33−33000000002i−2i−2i2i0000000000−iii−i0000i3−i3−i3i3000000
χ5822-2-2-2-222-12-222-2-2-12211-2-2-1-221-11-1112-2-1111-1-1-1001-10000-113−33−33−3−33−33−3300000000−2i2i2i−2i0000000000i−i−ii0000−i3i3i3−i3000000
χ5922-2-2-2-222-12-222-2-2-12211-2-2-1-221-11-1112-2-1111-1-1-1001-10000-11−33−33−333−33−33−3000000002i−2i−2i2i0000000000−iii−i0000−i3i3i3−i3000000
χ6022-2-2-2-222-12-222-2-2-12211-2-2-1-221-11-1112-2-1111-1-1-1001-10000-11−33−33−333−33−33−300000000−2i2i2i−2i0000000000i−i−ii0000i3−i3−i3i3000000
χ614444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-21111-24411-2-2-2-211-2-21111-2-211110000000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-21111-2-4-41122221122-1-1-1-122-1-1-1-10000000000000000000000000000000000000000
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χ6644444-4-4-2-2-4-44-222-222-2-2-2-21-22-2221-1-1-222211-1-1-2001-100001-100−3i3i3i−3i00−3i3i3i−3i0000000000000000000000000000000000000000
χ674444-44-44-24-4-4444-244-2-244-2-4-422-2-2-2-2-4-4-22-2-2-2-2200220000220000000000000000000000000000000000000000000000000000
χ684444-44-4-2-24-4-4-2-2-2-2-2-2-2-2-2-212222-211122-221111200-1-1−2i32i3−2i32i3-1-100i3i3−i3−i300i3i3−i3−i30000000000000000000000000000000000000000
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χ724444-4-44-2-2-44-4-222-222-2-2-2-212-22-221-1-12-22-211-1-1200-110000-11−23233−33−3−23233−33−30000000000000000000000000000000000000000
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χ7844-4-44-4-4-2-244-4-222-2-2-222221-22-2221-1-12-2-2-2-1-1112001-10000-1100−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000000000000000
χ7944-4-4-44-44-2-444444-2-4-422-4-4-2-4-422-2-2-2-2442-22222-200220000-2-20000000000000000000000000000000000000000000000000000
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χ8144-4-4-44-4-2-2-444-2-2-2-222222212222-2111-2-22-2-1-1-1-1-200-1-12i3−2i3−2i32i31100−i3−i3i3i300i3i3−i3−i30000000000000000000000000000000000000000
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χ854-44i−4i00044000-400-4004i−4i4i−4i400000-40000004i−4i00000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000000000000000
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χ874-44i−4i000-240002−2i32i3-423−234i−4i−2i2i-2000002−2i32i30000−2i2i23−23000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000−2ζ232ζ23−2ζ72ζ72ζ5−2ζ52ζ13−2ζ1300000000000000000000
χ884-44i−4i000-240002−2i32i3-423−234i−4i−2i2i-2000002−2i32i30000−2i2i23−2300000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000002ζ23−2ζ232ζ7−2ζ7−2ζ52ζ5−2ζ132ζ1300000000000000000000
χ894-44i−4i000-2400022i3−2i3-4−23234i−4i−2i2i-20000022i3−2i30000−2i2i−2323000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000−2ζ72ζ7−2ζ232ζ232ζ13−2ζ132ζ5−2ζ500000000000000000000
χ904-44i−4i000-2400022i3−2i3-4−23234i−4i−2i2i-20000022i3−2i30000−2i2i−232300000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000002ζ7−2ζ72ζ23−2ζ23−2ζ132ζ13−2ζ52ζ500000000000000000000
χ914-4−4i4i00044000-400-400−4i4i−4i4i400000-4000000−4i4i0000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000
χ924-4−4i4i00044000-400-400−4i4i−4i4i400000-4000000−4i4i00000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000000000
χ934-4−4i4i000-240002−2i32i3-4−2323−4i4i2i−2i-2000002−2i32i300002i−2i−232300000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000002ζ5−2ζ52ζ13−2ζ13−2ζ232ζ23−2ζ72ζ700000000000000000000
χ944-4−4i4i000-240002−2i32i3-4−2323−4i4i2i−2i-2000002−2i32i300002i−2i−2323000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000−2ζ52ζ5−2ζ132ζ132ζ23−2ζ232ζ7−2ζ700000000000000000000
χ954-4−4i4i000-2400022i3−2i3-423−23−4i4i2i−2i-20000022i3−2i300002i−2i23−2300000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000002ζ13−2ζ132ζ5−2ζ5−2ζ72ζ7−2ζ232ζ2300000000000000000000
χ964-4−4i4i000-2400022i3−2i3-423−23−4i4i2i−2i-20000022i3−2i300002i−2i23−23000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000−2ζ132ζ13−2ζ52ζ52ζ7−2ζ72ζ23−2ζ2300000000000000000000
χ978-88i−8i0008-4000-800400−4i4i8i−8i-4000004000000−4i4i00000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-40004−4i34i3443−43−4i4i−4i4i200000-22i3−2i300002i−2i−2323000000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-400044i3−4i34−4343−4i4i−4i4i200000-2−2i32i300002i−2i23−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-4000-8004004i−4i−8i8i-40000040000004i−4i00000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-40004−4i34i34−43434i−4i4i−4i200000-22i3−2i30000−2i2i23−23000000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-400044i3−4i3443−434i−4i4i−4i200000-2−2i32i30000−2i2i−2323000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.