Finite Group Databasebeta

← Group #11864996

Character table — Group #11864996

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order12442223344466661212121212123666666661212121212121212126688121224242424242424242424242424242424222244444444121212121212121224666666121212121212224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1111111-1-1
χ911-1-1-1-1111-111-1-111-1-1-1-1111-11-1-1-1-1111-11-1-1-11111-11-11-111-1-1111111-1-1-1-1-1-11-11-11-11-111-1-11111-1-1-1-11-11-11-1111-11-1-1-111-1-11-1
χ1011-1-1-1-1111-111-1-111-1-1-1-1111-11-1-1-1-1111-11-1-1-11111-11-11-111-1-1111111-1-1-1-1-1-11-1-111-1-1111-1-11111-1-1-1-1-111-1-11-1-11-1-1111-1-111-11
χ1111-1-1-1-1111-111-1-111-1-1-1-1111-11-1-1-1-1111-11-1-1-11111-11-11-111-1-1111111-1-1-1-1-1-1-111-1-111-1-1-111-1-1-1-111111-1-111-111-111-1-1-1-1-111-11
χ1211-1-1-1-1111-111-1-111-1-1-1-1111-11-1-1-1-1111-11-1-1-11111-11-11-111-1-1111111-1-1-1-1-1-1-11-11-11-11-1-111-1-1-1-11111-11-11-11-1-1-11-111111-1-11-1
χ1311-1-1-1-1111-111-1-111-1-1-1-1111-11-1-1-1-1111-11-1-1-11111-1-111-1-1-111-1-1-1-1-1-11111111-11-11-11-1-1-111-1-1-1-11111-111-11-1-1-11-11-11111-1-1-11
χ1411-1-1-1-1111-111-1-111-1-1-1-1111-11-1-1-1-1111-11-1-1-11111-1-111-1-1-111-1-1-1-1-1-11111111-1-111-1-11-1-111-1-1-1-111111-11-1-11111-1-11-1-1-1-1111-1
χ1511-1-1-1-1111-111-1-111-1-1-1-1111-11-1-1-1-1111-11-1-1-11111-1-111-1-1-111-1-1-1-1-1-1111111-111-1-111-111-1-11111-1-1-1-1-11-111-1-1-1-111-111-1-1111-1
χ1611-1-1-1-1111-111-1-111-1-1-1-1111-11-1-1-1-1111-11-1-1-11111-1-111-1-1-111-1-1-1-1-1-1111111-11-11-11-1111-1-11111-1-1-1-11-1-11-1111-11-11-1-111-1-1-11
χ1722222222-1222222-122-1-122-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002200220000000000002200-1-1-1-100-1-1-1-1000000
χ1822222222-1222222-122-1-122-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000000-2-2001111001111000000
χ1922222222-1222222-122-1-122-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100220022000000000000-2-200-1-11100-1-111000000
χ2022222222-1222222-122-1-122-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100-2-200-2-2000000000000220011-1-10011-1-1000000
χ212222222-12222-1-1-12-1-122-1-1-1-1222-1-1-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1220022002222-1-1-1-1-1-1-1-100-1-10000-1-10000000000
χ222222222-12222-1-1-12-1-122-1-1-1-1222-1-1-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-200-2-200-2-2-2-21111111100110000110000000000
χ232222222-12222-1-1-12-1-122-1-1-1-1222-1-1-1-1-1-122-1-12-1-1-1-1-2-2-1-11111-2-21111-2-2111122002200-2-2-2-21111111100-1-10000-1-10000000000
χ242222222-12222-1-1-12-1-122-1-1-1-1222-1-1-1-1-1-122-1-12-1-1-1-1-2-2-1-11111-2-21111-2-21111-2-200-2-2002222-1-1-1-1-1-1-1-100110000110000000000
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χ2922222-2-22-1-22-2222-122-1-122-1-21-11-1-1-1-2-2-211-1-1-1-1-11100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3002-200-220000000000000000-11i3−i3001-1i3−i3000000
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χ342222-22-2-12-2-2211-12-1-12211-1-1-2-2211-11-112-2-1-1-2111-100-113−33−3003−33−3003−33−3-22002-2000000−3−333−3−333001-10000-110000000000
χ352222-22-2-12-2-2211-12-1-12211-1-1-2-2211-11-112-2-1-1-2111-100-11−33−3300−33−3300−33−332-200-22000000−3−333−3−33300-1100001-10000000000
χ362222-22-2-12-2-2211-12-1-12211-1-1-2-2211-11-112-2-1-1-2111-100-11−33−3300−33−3300−33−33-22002-200000033−3−333−3−3001-10000-110000000000
χ372222-2-22222-2-2-2-2222222-2-22-22-2-2-2-222-22-2222-2-2-22-200-22000000000000000000000000000000000000000000000000002-22-200
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χ4322-2-22-2-2-122-22-1-1-1211-2-211-11-22-2-1-1-11-1-12211-2111100-1-13−3−33003−33−300−33−332200-2-200000033−3−3−3−33300-1-10000110000000000
χ4422-2-22-2-2-122-22-1-1-1211-2-211-11-22-2-1-1-11-1-12211-2111100-1-13−3−33003−33−300−33−33-2-20022000000−3−33333−3−300110000-1-10000000000
χ4522-2-22-2-2-122-22-1-1-1211-2-211-11-22-2-1-1-11-1-12211-2111100-1-1−333−300−33−33003−33−32200-2-2000000−3−33333−3−300-1-10000110000000000
χ4622-2-22-2-2-122-22-1-1-1211-2-211-11-22-2-1-1-11-1-12211-2111100-1-1−333−300−33−33003−33−3-2-2002200000033−3−3−3−33300110000-1-10000000000
χ4722-2-2-22-22222-2-2-222-2-2-2-22222-2-22-2-22-2-22-22-2-2222-2200-220000000000000000002200-2-20000000000000000220000-2-200000000
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χ5122-2-2-22-22-122-2-2-22-1-2-21122-1211-111-1-2-221-111-1-1-11-1001-10000i3−i3i3i3−i3−i3−i3i3−i3−i3i3i3002200-2-20000000000000000-1-1i3−i30011−i3i3000000
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χ5322-2-2-2-222-1-222-2-22-1-2-21122-1-2-11111-122-2-1111-1-1-1-112-2-1122-2-2-1-1-1-1-1-1111111002-2002-20000000000002-200-11-1-100-1111000000
χ5422-2-2-2-222-1-222-2-22-1-2-21122-1-2-11111-122-2-1111-1-1-1-112-2-1122-2-2-1-1-1-1-1-111111100-2200-22000000000000-22001-111001-1-1-1000000
χ5522-2-2-2-222-1-222-2-22-1-2-21122-1-2-11111-122-2-1111-1-1-1-11-22-11-2-222111111-1-1-1-1-1-1002-2002-2000000000000-2200-111100-11-1-1000000
χ5622-2-2-2-222-1-222-2-22-1-2-21122-1-2-11111-122-2-1111-1-1-1-11-22-11-2-222111111-1-1-1-1-1-100-2200-220000000000002-2001-1-1-1001-111000000
χ5722-2-2-2-22-12-22211-1211-2-2-1-1-112-2-211-1-1-112-2112-1-1-112-2-11-1-11122-1-1-1-1-2-211112-2002-20022-2-2-1-1-1-1111100-110000-110000000000
χ5822-2-2-2-22-12-22211-1211-2-2-1-1-112-2-211-1-1-112-2112-1-1-112-2-11-1-11122-1-1-1-1-2-21111-2200-2200-2-2221111-1-1-1-1001-100001-10000000000
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χ6022-2-2-2-22-12-22211-1211-2-2-1-1-112-2-211-1-1-112-2112-1-1-11-22-1111-1-1-2-2111122-1-1-1-1-2200-220022-2-2-1-1-1-11111001-100001-10000000000
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χ914-4−4i4i0004400000-4-4−4i4i−4i4i004000000-400000−4i4i0000000000000000000000000000000002-2−2i2i2-22-2−2i2i−2i2i00000000000000000000
χ924-4−4i4i0004400000-4-4−4i4i−4i4i004000000-400000−4i4i000000000000000000000000000000000-222i−2i-22-222i−2i2i−2i00000000000000000000
χ934-4−4i4i000-24000−2i32i32-42i−2i−4i4i−2323-20000−2i32i32000002i−2i0−23230000000000000000000000000000002-2−2i2i−1+31−3−1−31+3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000000000000
χ944-4−4i4i000-24000−2i32i32-42i−2i−4i4i−2323-20000−2i32i32000002i−2i0−2323000000000000000000000000000000-222i−2i1−3−1+31+3−1−3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1100000000000000000000
χ954-4−4i4i000-240002i3−2i32-42i−2i−4i4i23−23-200002i3−2i32000002i−2i023−230000000000000000000000000000002-2−2i2i−1−31+3−1+31−3ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000000000000
χ964-4−4i4i000-240002i3−2i32-42i−2i−4i4i23−23-200002i3−2i32000002i−2i023−23000000000000000000000000000000-222i−2i1+3−1−31−3−1+3−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000000000000
χ978-88i−8i0008-400000-848i−8i−4i4i00-4000000400000−4i4i00000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-4000−4i34i344−4i4i−4i4i43−43200002i3−2i3-2000002i−2i0−232300000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-40004i3−4i344−4i4i−4i4i−434320000−2i32i3-2000002i−2i023−2300000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-400000-84−8i8i4i−4i00-40000004000004i−4i00000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-4000−4i34i3444i−4i4i−4i−4343200002i3−2i3-200000−2i2i023−2300000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-40004i3−4i3444i−4i4i−4i43−4320000−2i32i3-200000−2i2i0−232300000000000000000000000000000000000000000000000000000000000000

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