Finite Group Databasebeta

← Group #11787785

Character table — Group #11787785

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1244222334446666121212121212366666666121212121212121212246666666666121212121212121212122244444488881212121212121212446612121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1
χ911-1-11-1-11111-11111-1-1-1-1-1-111-1-1-1111-111-111-1-1-1-11-11111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1ii−i−i1111-1-1-1-1i−i11-1-1ii−i−iii−i−iii−i−ii−i
χ1011-1-11-1-11111-11111-1-1-1-1-1-111-1-1-1111-111-111-1-1-1-11-11111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1−i−iii1111-1-1-1-1−ii11-1-1−i−iii−i−iii−i−iii−ii
χ1111-1-11-1-11111-11111-1-1-1-1-1-111-1-1-1111-111-111-1-1-1-11-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111ii−i−i-1-1-1-11111i−i-1-111ii−i−iii−i−i−i−iii−ii
χ1211-1-11-1-11111-11111-1-1-1-1-1-111-1-1-1111-111-111-1-1-1-11-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111−i−iii-1-1-1-11111−ii-1-111−i−iii−i−iiiii−i−ii−i
χ1311-1-11-1-11111-11111-1-1-1-1-1-111-1-1-1111-111-111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111ii−i−i-1-1-1-11111−ii11-1-1−i−iiiii−i−iii−i−i−ii
χ1411-1-11-1-11111-11111-1-1-1-1-1-111-1-1-1111-111-111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111−i−iii-1-1-1-11111i−i11-1-1ii−i−i−i−iii−i−iiii−i
χ1511-1-11-1-11111-11111-1-1-1-1-1-111-1-1-1111-111-111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1ii−i−i1111-1-1-1-1−ii-1-111−i−iiiii−i−i−i−iiii−i
χ1611-1-11-1-11111-11111-1-1-1-1-1-111-1-1-1111-111-111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1−i−iii1111-1-1-1-1i−i-1-111ii−i−i−i−iiiii−i−i−ii
χ1722222222-12222-1-1-1-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222220000-1-1-1-1-1-1-1-100-1-1-1-100000000000000
χ1822222222-12222-1-1-1-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200001111111100111100000000000000
χ1922222222-12222-1-1-1-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-111112222-2-2-2-200001111111100-1-1-1-100000000000000
χ2022222222-12222-1-1-1-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-11111-2-2-2-222220000-1-1-1-1-1-1-1-100111100000000000000
χ212222222-12222-12222222-1-1-1-1-122-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000222200000000220000-1-1-1-1-1-1-1-1000000
χ222222222-12222-12222222-1-1-1-1-122-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000-2-2-2-200000000-2-2000011111111000000
χ232222222-12222-12222222-1-1-1-1-122-1-1-1-1-1-1-122-1-1-1-1-2-211-2-2-1-1111111-2-2-1-1111100000000222200000000-2-200001111-1-1-1-1000000
χ242222222-12222-12222222-1-1-1-1-122-1-1-1-1-1-1-122-1-1-1-1-2-211-2-2-1-1111111-2-2-1-1111100000000-2-2-2-200000000220000-1-1-1-11111000000
χ2522222-2-222-2-22222222222222-2-2-2222-2-2-22-2-22222000000-2-200000000-2-200002-22-20000000000000000002-22-200000000000000
χ2622222-2-222-2-22222222222222-2-2-2222-2-2-22-2-22222000000-2-200000000-2-20000-22-22000000000000000000-22-2200000000000000
χ2722222-2-22-1-2-222-1-1-1-1-1-1-122-12-211-1-1-1-2-2-2211-1-1-1-10000−i3i311−i3−i3i3i300−i3i311−i3−i3i3i32-22-200000000−i3−i3i3i3−i3−i3i3i300-11-1100000000000000
χ2822222-2-22-1-2-222-1-1-1-1-1-1-122-12-211-1-1-1-2-2-2211-1-1-1-10000−i3i311−i3−i3i3i300−i3i311−i3−i3i3i3-22-2200000000i3i3−i3−i3i3i3−i3−i3001-11-100000000000000
χ2922222-2-22-1-2-222-1-1-1-1-1-1-122-12-211-1-1-1-2-2-2211-1-1-1-10000i3−i311i3i3−i3−i300i3−i311i3i3−i3−i32-22-200000000i3i3−i3−i3i3i3−i3−i300-11-1100000000000000
χ3022222-2-22-1-2-222-1-1-1-1-1-1-122-12-211-1-1-1-2-2-2211-1-1-1-10000i3−i311i3i3−i3−i300i3−i311i3i3−i3−i3-22-2200000000−i3−i3i3i3−i3−i3i3i3001-11-100000000000000
χ312222-22-2222-2-22-2-2222-2-2222-2-22-2-2-2222-2-22-222-2-20000002-2000000002-20000000000002-22-20000000000000000002-22-2000000
χ322222-22-2222-2-22-2-2222-2-2222-2-22-2-2-2222-2-22-222-2-20000002-2000000002-2000000000000-22-22000000000000000000-22-22000000
χ332222-22-2-122-2-2-1-2-2222-2-2-1-1-1112-211-1-1-1112-2-1-11100−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i3000000002-22-200000000000000−i3i3−i3i3-11-11000000
χ342222-22-2-122-2-2-1-2-2222-2-2-1-1-1112-211-1-1-1112-2-1-11100−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i300000000-22-2200000000000000i3−i3i3−i31-11-1000000
χ352222-22-2-122-2-2-1-2-2222-2-2-1-1-1112-211-1-1-1112-2-1-11100i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i3000000002-22-200000000000000i3−i3i3−i3-11-11000000
χ362222-22-2-122-2-2-1-2-2222-2-2-1-1-1112-211-1-1-1112-2-1-11100i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i300000000-22-2200000000000000−i3i3−i3i31-11-1000000
χ372222-2-2222-22-22-2-2222-2-2222-22-22-2-22-2-22-2-2222-2-2000000-2200000000-22000000000000000000000000000000000000002-22-200
χ382222-2-2222-22-22-2-2222-2-2222-22-22-2-22-2-22-2-2222-2-2000000-2200000000-2200000000000000000000000000000000000000-22-2200
χ3922-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-20000002200000000-2-200002-2-220000000000000000002-2-2200000000000000
χ4022-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-20000002200000000-2-20000-222-2000000000000000000-222-200000000000000
χ4122-2-22222-1-2-2-22-1-1-11111-2-2-122-1-1-1-1-12-2-2-21111110000−i3i3-1-1−i3−i3i3i300i3−i311i3i3−i3−i32-2-2200000000−i3−i3i3i3i3i3−i3−i300-111-100000000000000
χ4222-2-22222-1-2-2-22-1-1-11111-2-2-122-1-1-1-1-12-2-2-21111110000−i3i3-1-1−i3−i3i3i300i3−i311i3i3−i3−i3-222-200000000i3i3−i3−i3−i3−i3i3i3001-1-1100000000000000
χ4322-2-22222-1-2-2-22-1-1-11111-2-2-122-1-1-1-1-12-2-2-21111110000i3−i3-1-1i3i3−i3−i300−i3i311−i3−i3i3i32-2-2200000000i3i3−i3−i3−i3−i3i3i300-111-100000000000000
χ4422-2-22222-1-2-2-22-1-1-11111-2-2-122-1-1-1-1-12-2-2-21111110000i3−i3-1-1i3i3−i3−i300−i3i311−i3−i3i3i3-222-200000000−i3−i3i3i3i3i3−i3−i3001-1-1100000000000000
χ4522-2-22-2-22-122-22-1-1-11111-2-2-12-211-1-1-1-222-2-1-111112-222-1-111-1-1-1-1-2-211-1-1111122-2-222-2-20000-1-1-1-1111100-1-11100000000000000
χ4622-2-22-2-22-122-22-1-1-11111-2-2-12-211-1-1-1-222-2-1-111112-222-1-111-1-1-1-1-2-211-1-11111-2-222-2-22200001111-1-1-1-10011-1-100000000000000
χ4722-2-22-2-22-122-22-1-1-11111-2-2-12-211-1-1-1-222-2-1-11111-22-2-21111111122-1-1-1-1-1-1-1-122-2-2-2-22200001111-1-1-1-100-1-11100000000000000
χ4822-2-22-2-22-122-22-1-1-11111-2-2-12-211-1-1-1-222-2-1-11111-22-2-21111111122-1-1-1-1-1-1-1-1-2-22222-2-20000-1-1-1-111110011-1-100000000000000
χ4922-2-22-2-2-1222-2-1222-2-2-2-211-1-11-2-2-1-1-11-1-112211112-2-1-12211-1-1-1-111-2-2-1-11111000000002i2i−2i−2i000000002i−2i0000−i−iii−i−iii000000
χ5022-2-22-2-2-1222-2-1222-2-2-2-211-1-11-2-2-1-1-11-1-112211112-2-1-12211-1-1-1-111-2-2-1-1111100000000−2i−2i2i2i00000000−2i2i0000ii−i−iii−i−i000000
χ5122-2-22-2-2-1222-2-1222-2-2-2-211-1-11-2-2-1-1-11-1-11221111-2211-2-2111111-1-122-1-1-1-1-1-1000000002i2i−2i−2i00000000−2i2i0000ii−i−i−i−iii000000
χ5222-2-22-2-2-1222-2-1222-2-2-2-211-1-11-2-2-1-1-11-1-11221111-2211-2-2111111-1-122-1-1-1-1-1-100000000−2i−2i2i2i000000002i−2i0000−i−iiiii−i−i000000
χ5322-2-2-22-222-2222-2-22-2-222-2-22-2-22-2-2-222-222-22-2-2220000002-200000000-22000000000000000000000000000000000000002i−2i−2i2i00
χ5422-2-2-22-222-2222-2-22-2-222-2-22-2-22-2-2-222-222-22-2-2220000002-200000000-2200000000000000000000000000000000000000−2i2i2i−2i00
χ5522-2-2-2-22222-222-2-22-2-222-2-22-22-22-2-22-22-222-2-2-222000000-22000000002-20000000000002i−2i−2i2i0000000000000000002i−2i−2i2i000000
χ5622-2-2-2-22222-222-2-22-2-222-2-22-22-22-2-22-22-222-2-2-222000000-22000000002-2000000000000−2i2i2i−2i000000000000000000−2i2i2i−2i000000
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χ614444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2111144-2-2-2-2111111-2-2-2-21111110000000000000000000000000000000000000000
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χ8444-4-4-4-44-2-24-44-222-222-2-22212-22-2-1-112-22-2-22-1-111002i3−2i300-11−i3i3−i3i3−2i32i3001-1i3−i3i3−i30000000000000000000000000000000000000000
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χ894-44i−4i0004-2000-42i3−2i32−2i2i−23234i−4i-200002i3−2i32000000−2i2i−2323000000000000000000000000002-22i−2i0000−1+i31−i3−1−i31+i32ζ7−2ζ72ζ11−2ζ1100000000000000000000
χ904-44i−4i0004-2000-42i3−2i32−2i2i−23234i−4i-200002i3−2i32000000−2i2i−232300000000000000000000000000-22−2i2i00001−i3−1+i31+i3−1−i3−2ζ72ζ7−2ζ112ζ1100000000000000000000
χ914-4−4i4i00044000-400-4−4i4i00−4i4i4000000-4000000−4i4i00000000000000000000000000002-2−2i2i00002-22-2−2i2i−2i2i00000000000000000000
χ924-4−4i4i00044000-400-4−4i4i00−4i4i4000000-4000000−4i4i0000000000000000000000000000-222i−2i0000-22-222i−2i2i−2i00000000000000000000
χ934-4−4i4i0004-2000-4−2i32i322i−2i−2323−4i4i-20000−2i32i320000002i−2i−2323000000000000000000000000002-2−2i2i0000−1−i31+i3−1+i31−i3−2ζ112ζ11−2ζ72ζ700000000000000000000
χ944-4−4i4i0004-2000-4−2i32i322i−2i−2323−4i4i-20000−2i32i320000002i−2i−232300000000000000000000000000-222i−2i00001+i3−1−i31−i3−1+i32ζ11−2ζ112ζ7−2ζ700000000000000000000
χ954-4−4i4i0004-2000-42i3−2i322i−2i23−23−4i4i-200002i3−2i320000002i−2i23−23000000000000000000000000002-2−2i2i0000−1+i31−i3−1−i31+i3−2ζ72ζ7−2ζ112ζ1100000000000000000000
χ964-4−4i4i0004-2000-42i3−2i322i−2i23−23−4i4i-200002i3−2i320000002i−2i23−2300000000000000000000000000-222i−2i00001−i3−1+i31+i3−1−i32ζ7−2ζ72ζ11−2ζ1100000000000000000000
χ978-88i−8i000-48000400-88i−8i00−4i4i-40000004000000−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-40004−4i34i34−4i4i43−43−4i4i200002i3−2i3-20000002i−2i−232300000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-400044i3−4i34−4i4i−4343−4i4i20000−2i32i3-20000002i−2i23−2300000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i000-48000400-8−8i8i004i−4i-400000040000004i−4i0000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-40004−4i34i344i−4i−43434i−4i200002i3−2i3-2000000−2i2i23−2300000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-400044i3−4i344i−4i43−434i−4i20000−2i32i3-2000000−2i2i−232300000000000000000000000000000000000000000000000000000000000000

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