Finite Group Databasebeta

← Group #11787980

Character table — Group #11787980

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222222222336666666666366666666666666666446666121212121212121212121212121212122244444444441212121212121212446612121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ71111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1
χ911-1-111-11-1-1111-1-1-1-111-1-11111-1-111-1-11-1-1-1-1111-11-111-1-111-1-1111111-1-1-1-1-1-11-11-111-1-1ii−i−i1111-1-1-1-1i−i1-1ii−i−i1-1ii−i−iii−i−ii−i
χ1011-1-111-11-1-1111-1-1-1-111-1-11111-1-111-1-11-1-1-1-1111-11-111-1-111-1-1111111-1-1-1-1-1-11-11-111-1-1−i−iii1111-1-1-1-1−ii1-1−i−iii1-1−i−iii−i−iii−ii
χ1111-1-111-11-1-1111-1-1-1-111-1-11111-1-111-1-11-1-1-1-1111-11-111-1-111-1-1111111-1-1-1-1-1-1-11-11-1-111ii−i−i-1-1-1-11111i−i-11ii−i−i-11ii−i−i−i−iii−ii
χ1211-1-111-11-1-1111-1-1-1-111-1-11111-1-111-1-11-1-1-1-1111-11-111-1-111-1-1111111-1-1-1-1-1-1-11-11-1-111−i−iii-1-1-1-11111−ii-11−i−iii-11−i−iiiii−i−ii−i
χ1311-1-111-11-1-1111-1-1-1-111-1-11111-1-111-1-11-1-1-1-1111-1-1111-1-1-1-111-1-1-1-1-1-11111111-11-1-1-111ii−i−i-1-1-1-11111−ii1-1ii−i−i1-1−i−iiiii−i−i−ii
χ1411-1-111-11-1-1111-1-1-1-111-1-11111-1-111-1-11-1-1-1-1111-1-1111-1-1-1-111-1-1-1-1-1-11111111-11-1-1-111−i−iii-1-1-1-11111i−i1-1−i−iii1-1ii−i−i−i−iiii−i
χ1511-1-111-11-1-1111-1-1-1-111-1-11111-1-111-1-11-1-1-1-1111-1-1111-1-1-1-111-1-1-1-1-1-1111111-11-1111-1-1ii−i−i1111-1-1-1-1−ii-11ii−i−i-11−i−iii−i−iiii−i
χ1611-1-111-11-1-1111-1-1-1-111-1-11111-1-111-1-11-1-1-1-1111-1-1111-1-1-1-111-1-1-1-1-1-1111111-11-1111-1-1−i−iii1111-1-1-1-1i−i-11−i−iii-11ii−i−iii−i−i−ii
χ1722222222222-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222222220000-1-1-1-1-1-1-1-100-1-10000-1-10000000000
χ1822222222222-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-200001111111100110000110000000000
χ1922222222222-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-21111-2-211112222-2-2-2-200001111111100-1-10000-1-10000000000
χ2022222222222-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-21111-2-21111-2-2-2-222220000-1-1-1-1-1-1-1-100110000110000000000
χ212222222222-12-1222222-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002222000000002200-1-1-1-100-1-1-1-1000000
χ222222222222-12-1222222-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200000000-2-2001111001111000000
χ232222222222-12-1222222-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-211111111111100000000222200000000-2-200-1-1-1-1001111000000
χ242222222222-12-1222222-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-211111111111100000000-2-2-2-2000000002200111100-1-1-1-1000000
χ2522222-2-2-22-222222-2-2-2-222222-2-2-22-22-2222-2-2-2-2-22002-22-2000000000000000000000000000000000000000000000000002-22-200
χ2622222-2-2-22-222222-2-2-2-222222-2-2-22-22-2222-2-2-2-2-22002-22-200000000000000000000000000000000000000000000000000-22-2200
χ272222-22-2-2-2222222-2-2-2-22222-222-2-22-22222-2-2-2-2-2-200-22-220000000000000000000000002-22-20000000000002-22-2000000000000
χ282222-22-2-2-2222222-2-2-2-22222-222-2-22-22222-2-2-2-2-2-200-22-22000000000000000000000000-22-22000000000000-22-22000000000000
χ292222-22-2-2-22-12-122-2-2-2-2-1-12-11-1-11-22-22-1-1-1111111001-11-100003−333−3−33−333−3−3000000002-22-2000000000000-11-11003−33−3000000
χ302222-22-2-2-22-12-122-2-2-2-2-1-12-11-1-11-22-22-1-1-1111111001-11-100003−333−3−33−333−3−300000000-22-220000000000001-11-100−33−33000000
χ312222-22-2-2-22-12-122-2-2-2-2-1-12-11-1-11-22-22-1-1-1111111001-11-10000−33−3−333−33−3−333000000002-22-2000000000000-11-1100−33−33000000
χ322222-22-2-2-22-12-122-2-2-2-2-1-12-11-1-11-22-22-1-1-1111111001-11-10000−33−3−333−33−3−33300000000-22-220000000000001-11-1003−33−3000000
χ332222-2-222-2-22222222222222-2-2-22-2-2-2-222222222-200-2-2-2-2000000000000000022-2-2000000000000000000220000-2-20000000000
χ342222-2-222-2-22222222222222-2-2-22-2-2-2-222222222-200-2-2-2-20000000000000000-2-222000000000000000000-2-20000220000000000
χ352222-2-222-2-22-12-1-1-1-1-1-122-1-1-2-2-221111-1-1-1-1-12-1-1-2001111−i3i3−i3i300−i3i3−i3i300−i3i3−i3i322-2-200000000−i3−i3i3i3−i3−i3i3i300-1-10000110000000000
χ362222-2-222-2-22-12-1-1-1-1-1-122-1-1-2-2-221111-1-1-1-1-12-1-1-2001111−i3i3−i3i300−i3i3−i3i300−i3i3−i3i3-2-22200000000i3i3−i3−i3i3i3−i3−i300110000-1-10000000000
χ372222-2-222-2-22-12-1-1-1-1-1-122-1-1-2-2-221111-1-1-1-1-12-1-1-2001111i3−i3i3−i300i3−i3i3−i300i3−i3i3−i322-2-200000000i3i3−i3−i3i3i3−i3−i300-1-10000110000000000
χ382222-2-222-2-22-12-1-1-1-1-1-122-1-1-2-2-221111-1-1-1-1-12-1-1-2001111i3−i3i3−i300i3−i3i3−i300i3−i3i3−i3-2-22200000000−i3−i3i3i3−i3−i3i3i300110000-1-10000000000
χ3922-2-222-22-2-22-121111-1-1-2-2-1-122-2-2-1-111-111112-1-1-22-2-1-111-1-11122-1-1-1-1-2-211112-22-222-2-20000-1-1-1-1111100-110000-110000000000
χ4022-2-222-22-2-22-121111-1-1-2-2-1-122-2-2-1-111-111112-1-1-22-2-1-111-1-11122-1-1-1-1-2-21111-22-22-2-22200001111-1-1-1-1001-100001-10000000000
χ4122-2-222-22-2-22-121111-1-1-2-2-1-122-2-2-1-111-111112-1-1-2-22-1-11111-1-1-2-2111122-1-1-1-12-22-2-2-22200001111-1-1-1-100-110000-110000000000
χ4222-2-222-22-2-22-121111-1-1-2-2-1-122-2-2-1-111-111112-1-1-2-22-1-11111-1-1-2-2111122-1-1-1-1-22-2222-2-20000-1-1-1-11111001-100001-10000000000
χ4322-2-222-22-2-2-12-1-2-2-2-222112-1-1-11122-2-2-11111-1-1-112-2-1-11122-2-2-1-1-1-1-1-1111111000000002i2i−2i−2i000000002i−2i00−i−iii00−i−iii000000
χ4422-2-222-22-2-2-12-1-2-2-2-222112-1-1-11122-2-2-11111-1-1-112-2-1-11122-2-2-1-1-1-1-1-111111100000000−2i−2i2i2i00000000−2i2i00ii−i−i00ii−i−i000000
χ4522-2-222-22-2-2-12-1-2-2-2-222112-1-1-11122-2-2-11111-1-1-11-22-1-111-2-222111111-1-1-1-1-1-1000000002i2i−2i−2i00000000−2i2i00−i−iii00ii−i−i000000
χ4622-2-222-22-2-2-12-1-2-2-2-222112-1-1-11122-2-2-11111-1-1-11-22-1-111-2-222111111-1-1-1-1-1-100000000−2i−2i2i2i000000002i−2i00ii−i−i00−i−iii000000
χ4722-2-22-22-2-22222-2-222-2-2-2-2222-2222-2-222-2-222-2-2-2-2002-2-22000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ4822-2-22-22-2-22222-2-222-2-2-2-2222-2222-2-222-2-222-2-2-2-2002-2-2200000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ4922-2-2-222-22-2222-2-222-2-2-2-222-22-22-222-22-2-222-2-2-2200-222-20000000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i000000000000
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χ5122-2-2-222-22-2-12-1-2-222-2-2112-11-11-1-222-2-111-1-1111-1001-1-1100003−333−3−3−33−3−333000000002i−2i−2i2i000000000000−iii−i00i3−i3−i3i3000000
χ5222-2-2-222-22-2-12-1-2-222-2-2112-11-11-1-222-2-111-1-1111-1001-1-1100003−333−3−3−33−3−33300000000−2i2i2i−2i000000000000i−i−ii00−i3i3i3−i3000000
χ5322-2-2-222-22-2-12-1-2-222-2-2112-11-11-1-222-2-111-1-1111-1001-1-110000−33−3−3333−333−3−3000000002i−2i−2i2i000000000000−iii−i00−i3i3i3−i3000000
χ5422-2-2-222-22-2-12-1-2-222-2-2112-11-11-1-222-2-111-1-1111-1001-1-110000−33−3−3333−333−3−300000000−2i2i2i−2i000000000000i−i−ii00i3−i3−i3i3000000
χ5522-2-2-2-2-2222222-2-2-2-222-2-222-2-22-2-2-2222-2-2-2-2222200-2-22200000000000000002-2-220000000000000000002-20000-220000000000
χ5622-2-2-2-2-2222222-2-2-2-222-2-222-2-22-2-2-2222-2-2-2-2222200-2-2220000000000000000-222-2000000000000000000-2200002-20000000000
χ5722-2-2-2-2-22222-121111-1-1-2-2-1-1-2-22-211-1-1-111112-1-120011-1-1−i3i3i3−i300−i3i3−i3i300i3−i3i3−i32-2-2200000000−i3−i3i3i3i3i3−i3−i300-1100001-10000000000
χ5822-2-2-2-2-22222-121111-1-1-2-2-1-1-2-22-211-1-1-111112-1-120011-1-1−i3i3i3−i300−i3i3−i3i300i3−i3i3−i3-222-200000000i3i3−i3−i3−i3−i3i3i3001-10000-110000000000
χ5922-2-2-2-2-22222-121111-1-1-2-2-1-1-2-22-211-1-1-111112-1-120011-1-1i3−i3−i3i300i3−i3i3−i300−i3i3−i3i32-2-2200000000i3i3−i3−i3−i3−i3i3i300-1100001-10000000000
χ6022-2-2-2-2-22222-121111-1-1-2-2-1-1-2-22-211-1-1-111112-1-120011-1-1i3−i3−i3i300i3−i3i3−i300−i3i3−i3i3-222-200000000−i3−i3i3i3i3i3−i3−i3001-10000-110000000000
χ614444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-211-2441111-2-2-2-2-2-21111-2-211110000000000000000000000000000000000000000
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χ924-4-4400000044-4-440000-44-4400000000-4-4400000000000000000000000000000000−2i2i2i−2i0000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ934-4-440000004-2-42-2−2i32i32i3−2i3-442-20000000022-2−2i32i302i3−2i30000000000000000000000000002i−2i−2i2i00002ζ7−2ζ72ζ11−2ζ11−2ζ72ζ7−2ζ112ζ1100000000000000000000
χ944-4-440000004-2-42-2−2i32i32i3−2i3-442-20000000022-2−2i32i302i3−2i3000000000000000000000000000−2i2i2i−2i0000−2ζ72ζ7−2ζ112ζ112ζ7−2ζ72ζ11−2ζ1100000000000000000000
χ954-4-440000004-2-42-22i3−2i3−2i32i3-442-20000000022-22i3−2i30−2i32i30000000000000000000000000002i−2i−2i2i00002ζ11−2ζ112ζ7−2ζ7−2ζ112ζ11−2ζ72ζ700000000000000000000
χ964-4-440000004-2-42-22i3−2i3−2i32i3-442-20000000022-22i3−2i30−2i32i3000000000000000000000000000−2i2i2i−2i0000−2ζ112ζ11−2ζ72ζ72ζ11−2ζ112ζ7−2ζ700000000000000000000
χ978-88-8000000-4848-80000-44-8-4000000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8000000-4-44-44−4i34i3−4i34i3-444200000000-22-22i3−2i302i3−2i3000000000000000000000000000000000000000000000000000000000000000
χ998-88-8000000-4-44-444i3−4i34i3−4i3-444200000000-22-2−2i32i30−2i32i3000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88000000-484-8800004-4-8-40000000044-400000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88000000-4-444-4−4i34i34i3−4i34-44200000000-2-222i3−2i30−2i32i3000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88000000-4-444-44i3−4i3−4i34i34-44200000000-2-22−2i32i302i3−2i3000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.