Finite Group Databasebeta

← Group #11864990

Character table — Group #11864990

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order1244222334446666121212121212223446666666612121212121212121266666666661212121212121212121244441212121212121212246688881212242424242424242422224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111
χ71111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-111
χ81111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-111-1-1
χ911-1-1-1-1111-111-1-111-1-1-1-1111-111-1-11-1-1-1-1111-11-111-1-111-11-11-111-1-11-11-11-111-1-111-1-11111-1-1-1-11-1111-11-1-1-111-1-111-1-1111-1-1-11-1
χ1011-1-1-1-1111-111-1-111-1-1-1-1111-111-1-11-1-1-1-1111-11-111-1-111-11-11-111-1-11-11-11-111-1-111-1-11111-1-1-1-1-11-1-11-1-111111-1-1-1-111-1-1-1111-11
χ1111-1-1-1-1111-111-1-111-1-1-1-1111-111-1-11-1-1-1-1111-11-111-1-111-11-11-111-1-11-11-11-111-1-1-1-111-1-1-1-111111-111-111-1-1-1-1-11111-1-1-1-1-1111-11
χ1211-1-1-1-1111-111-1-111-1-1-1-1111-111-1-11-1-1-1-1111-11-111-1-111-11-11-111-1-11-11-11-111-1-1-1-111-1-1-1-11111-11-1-1-11-1111-1-111-1-111111-1-1-11-1
χ1311-1-1-1-1111-111-1-111-1-1-1-111-111-11-11-1-1-1-1111-11-111-1-11-11-111-1-1-111-11-111-1-1-11111-1-11111-1-1-1-11-111-11-11-1-1-1-111-1-11111-11-1-1-11
χ1411-1-1-1-1111-111-1-111-1-1-1-111-111-11-11-1-1-1-1111-11-111-1-11-11-111-1-1-111-11-111-1-1-11111-1-11111-1-1-1-1-11-1-1-111-111-1-11111-1-1-1-11-1111-1
χ1511-1-1-1-1111-111-1-111-1-1-1-111-111-11-11-1-1-1-1111-11-111-1-11-11-111-1-1-111-11-111-1-1-111-1-111-1-1-1-111111-1111-1-11-1-111-1-1-1-111-1-11-1111-1
χ1611-1-1-1-1111-111-1-111-1-1-1-111-111-11-11-1-1-1-1111-11-111-1-11-11-111-1-1-111-11-111-1-1-111-1-111-1-1-1-11111-11-1-11-11-11111-1-111-1-111-11-1-1-11
χ1722222222-1222222-122-1-12222-1222-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000000022-1-10022-1-10000-1-1-1-100000000
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χ332222-22-2-12-2-2211-12-1-122112-2-1-22-1-2-2211-11-11-2-211-1-12-112-21-1-1-1111-1-22-1111-1-1000033−3−333−3−300000000003−33−3000000000000
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χ4322-2-22-2-22-12-22222-1-2-211-2-222-1-2-2-21-11-1-1-1-2221-11111-122-1-111-1-1-1-1-2-211-1-1111100000000000000−i3i30000i3−i30000−i3i3i3−i300000000
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χ4722-2-22-2-2-122-22-1-1-1211-2-21122-1-2-21-22-2-1-1-11-1-1-2211112-1-12211-1-1-1-111-2-2-1-11111000033−3−3−3−33300000000003−3−33000000000000
χ4822-2-22-2-2-122-22-1-1-1211-2-21122-1-2-21-22-2-1-1-11-1-1-2211112-1-12211-1-1-1-111-2-2-1-111110000−3−33333−3−30000000000−333−3000000000000
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χ5022-2-22-2-2-122-22-1-1-1211-2-211-2-2-1221-22-2-1-1-11-1-1-221111211-2-2111111-1-122-1-1-1-1-1-10000−3−33333−3−300000000003−3−33000000000000
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χ924-4−4i4i0004400000-4-4−4i4i−4i4i0000400000000-40000000−4i4i000000000000000000000-222i−2i-22-222i−2i2i−2i00000000000000000000000000
χ934-4−4i4i000-24000−2i32i32-42i−2i−4i4i−232300-2000000−2i32i3200000−23232i−2i0000000000000000000002-2−2i2i−1−31+3−1+31−3ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000000000000000000
χ944-4−4i4i000-24000−2i32i32-42i−2i−4i4i−232300-2000000−2i32i3200000−23232i−2i000000000000000000000-222i−2i1+3−1−31−3−1+3−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000000000000000000
χ954-4−4i4i000-240002i3−2i32-42i−2i−4i4i23−2300-20000002i3−2i320000023−232i−2i0000000000000000000002-2−2i2i−1+31−3−1−31+3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000000000000000000
χ964-4−4i4i000-240002i3−2i32-42i−2i−4i4i23−2300-20000002i3−2i320000023−232i−2i000000000000000000000-222i−2i1−3−1+31+3−1−3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1100000000000000000000000000
χ978-88i−8i0008-400000-848i−8i−4i4i0000-40000000040000000−4i4i00000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-4000−4i34i344−4i4i−4i4i43−430020000002i3−2i3-200000−23232i−2i00000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-40004i3−4i344−4i4i−4i4i−4343002000000−2i32i3-20000023−232i−2i00000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-400000-84−8i8i4i−4i0000-400000000400000004i−4i00000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-4000−4i34i3444i−4i4i−4i−43430020000002i3−2i3-20000023−23−2i2i00000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-40004i3−4i3444i−4i4i−4i43−43002000000−2i32i3-200000−2323−2i2i00000000000000000000000000000000000000000000000000000000000

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