Finite Group Databasebeta

← Group #11787783

Character table — Group #11787783

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order1244222334446666121212121212223446666666612121212121212121266666666661212121212121212121244441212121212121212244444661212121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ51111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1
χ911-1-11-1-11111-11111-1-1-1-1-1-1111-1-11-1-1111-1-111-111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-1i−ii−i11-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011-1-11-1-11111-11111-1-1-1-1-1-1111-1-11-1-1111-1-111-111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-1−ii−ii11-1-1−i−iii−i−iii−i−iii−i−iii
χ1111-1-11-1-11111-11111-1-1-1-1-1-1111-1-11-1-1111-1-111-111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-11i−ii−i-1-111ii−i−iii−i−i−i−iii−i−iii
χ1211-1-11-1-11111-11111-1-1-1-1-1-1111-1-11-1-1111-1-111-111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-11−ii−ii-1-111−i−iii−i−iiiii−i−iii−i−i
χ1311-1-11-1-11111-11111-1-1-1-1-1-1-1-11111-1-1111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-11i−i−ii-1-111ii−i−i−i−iiiii−i−i−i−iii
χ1411-1-11-1-11111-11111-1-1-1-1-1-1-1-11111-1-1111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-11−iii−i-1-111−i−iiiii−i−i−i−iiiii−i−i
χ1511-1-11-1-11111-11111-1-1-1-1-1-1-1-11111-1-1111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111-1i−i−ii11-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611-1-11-1-11111-11111-1-1-1-1-1-1-1-11111-1-1111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111-1−iii−i11-1-1−i−iiiii−i−iii−i−i−i−iii
χ1722222222-12222-1-1-122-1-1-1-122-1222-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-1-1-10000000000000000
χ1822222222-12222-1-1-122-1-1-1-122-1222-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2000011110000000000000000
χ1922222222-12222-1-1-122-1-1-1-1-2-2-1-2-22-1-1-1-1-122222-1-1-1-1-1-1-2-211-1-11111-2-211-1-111112222-1-1-1-1-1-1-1-1-2-2000011110000000000000000
χ2022222222-12222-1-1-122-1-1-1-1-2-2-1-2-22-1-1-1-1-122222-1-1-1-1-1-1-2-211-1-11111-2-211-1-11111-2-2-2-211111111220000-1-1-1-10000000000000000
χ212222222-12222-1222-1-1222222-122-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-100000000
χ222222222-12222-1222-1-1222222-122-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000000000-2-2-2-200001111111100000000
χ232222222-12222-1222-1-12222-2-2-1-2-2-122-1-1-1-1-1-1-1-122-1-1-1-111-2-2-1-1111111-2-2-1-111110000000000000022-2-20000-1-1-1-1111100000000
χ242222222-12222-1222-1-12222-2-2-1-2-2-122-1-1-1-1-1-1-1-122-1-1-1-111-2-2-1-1111111-2-2-1-1111100000000000000-2-22200001111-1-1-1-100000000
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χ2722222-2-22-1-2-222-1-1-122-1-1-1-12-2-12-2211-1-1-1-2-2-2-2211-1-1-1-12-2-1111-1-1112-2-1111-1-1110000−i3−i3i3i3−i3−i3i3i3000000−i3i3−i3i30000000000000000
χ2822222-2-22-1-2-222-1-1-122-1-1-1-12-2-12-2211-1-1-1-2-2-2-2211-1-1-1-12-2-1111-1-1112-2-1111-1-1110000i3i3−i3−i3i3i3−i3−i3000000i3−i3i3−i30000000000000000
χ2922222-2-22-1-2-222-1-1-122-1-1-1-1-22-1-22211-1-1-1-2-2-2-2211-1-1-1-1-221-11111-1-1-221-11111-1-10000−i3−i3i3i3−i3−i3i3i3000000i3−i3i3−i30000000000000000
χ3022222-2-22-1-2-222-1-1-122-1-1-1-1-22-1-22211-1-1-1-2-2-2-2211-1-1-1-1-221-11111-1-1-221-11111-1-10000i3i3−i3−i3i3i3−i3−i3000000−i3i3−i3i30000000000000000
χ3122222-2-2-12-2-22-1222-1-122222-2-12-2-1-2-2-1-1-11111-1-2-2-1-1-1-1-112-211-1-111-112-211-1-11100000000000000000000003−33−33−33−300000000
χ3222222-2-2-12-2-22-1222-1-122222-2-12-2-1-2-2-1-1-11111-1-2-2-1-1-1-1-112-211-1-111-112-211-1-1110000000000000000000000−33−33−33−3300000000
χ3322222-2-2-12-2-22-1222-1-12222-22-1-22-1-2-2-1-1-11111-1-2-2-1-1-1-11-1-221111-1-11-1-221111-1-100000000000000000000003−33−3−33−3300000000
χ3422222-2-2-12-2-22-1222-1-12222-22-1-22-1-2-2-1-1-11111-1-2-2-1-1-1-11-1-221111-1-11-1-221111-1-10000000000000000000000−33−333−33−300000000
χ352222-22-2222-2-22-2-222222-2-200200-22-2-2-222-22-2-22-222-2-200002-2000000002-2000000000000000000000000000000000000002-22-2
χ362222-22-2222-2-22-2-222222-2-200200-22-2-2-222-22-2-22-222-2-200002-2000000002-200000000000000000000000000000000000000-22-22
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χ3922-2-222222-2-2-22222-2-2-2-2-2-22-22-2222222222-2-2-2-2-2-2-2-2-22-22-22222-2-2-22-22-2-2-2-22200000000000000000000000000000000000000
χ4022-2-222222-2-2-22222-2-2-2-2-2-2-2222-222222222-2-2-2-2-2-2-2-2-2-22-2222-2-2222-22-2-2-222-2-200000000000000000000000000000000000000
χ4122-2-22222-1-2-2-22-1-1-1-2-211112-2-1-222-1-1-1-1-122-2-2-21111112-2-11-1-1-1-111-221-11111-1-10000−i3−i3i3i3i3i3−i3−i3000000−i3i3i3−i30000000000000000
χ4222-2-22222-1-2-2-22-1-1-1-2-211112-2-1-222-1-1-1-1-122-2-2-21111112-2-11-1-1-1-111-221-11111-1-10000i3i3−i3−i3−i3−i3i3i3000000i3−i3−i3i30000000000000000
χ4322-2-22222-1-2-2-22-1-1-1-2-21111-22-12-22-1-1-1-1-122-2-2-2111111-221-1-1-111-1-12-2-1111-1-1110000−i3−i3i3i3i3i3−i3−i3000000i3−i3−i3i30000000000000000
χ4422-2-22222-1-2-2-22-1-1-1-2-21111-22-12-22-1-1-1-1-122-2-2-2111111-221-1-1-111-1-12-2-1111-1-1110000i3i3−i3−i3−i3−i3i3i3000000−i3i3i3−i30000000000000000
χ4522-2-2222-12-2-2-2-122211-2-2-2-22-2-1-22-122-1-1-1-1-1111-2-21111-112-2-1-1-1-1111-1-221111-1-10000000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ4622-2-2222-12-2-2-2-122211-2-2-2-22-2-1-22-122-1-1-1-1-1111-2-21111-112-2-1-1-1-1111-1-221111-1-10000000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ4722-2-2222-12-2-2-2-122211-2-2-2-2-22-12-2-122-1-1-1-1-1111-2-211111-1-22-1-111-1-1-112-211-1-1110000000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ4822-2-2222-12-2-2-2-122211-2-2-2-2-22-12-2-122-1-1-1-1-1111-2-211111-1-22-1-111-1-1-112-211-1-1110000000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ4922-2-22-2-22-122-22-1-1-1-2-2111122-1-2-2211-1-1-1-2-222-2-1-1111122-1-111-1-1-1-1-2-211-1-1111122-2-2-1-1-1-111112-20000-1-1110000000000000000
χ5022-2-22-2-22-122-22-1-1-1-2-2111122-1-2-2211-1-1-1-2-222-2-1-1111122-1-111-1-1-1-1-2-211-1-11111-2-2221111-1-1-1-1-22000011-1-10000000000000000
χ5122-2-22-2-22-122-22-1-1-1-2-21111-2-2-122211-1-1-1-2-222-2-1-11111-2-21111111122-1-1-1-1-1-1-1-122-2-2-1-1-1-11111-22000011-1-10000000000000000
χ5222-2-22-2-22-122-22-1-1-1-2-21111-2-2-122211-1-1-1-2-222-2-1-11111-2-21111111122-1-1-1-1-1-1-1-1-2-2221111-1-1-1-12-20000-1-1110000000000000000
χ5322-2-22-2-2-1222-2-122211-2-2-2-222-1-2-2-1-2-2-1-1-111-1-11221111-1-12211-1-1-1-111-2-2-1-11111000000000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ5422-2-22-2-2-1222-2-122211-2-2-2-222-1-2-2-1-2-2-1-1-111-1-11221111-1-12211-1-1-1-111-2-2-1-1111100000000000000−2i2i−2i2i0000ii−i−iii−i−i00000000
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χ5622-2-22-2-2-1222-2-122211-2-2-2-2-2-2-122-1-2-2-1-1-111-1-1122111111-2-2111111-1-122-1-1-1-1-1-100000000000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ5722-2-2-22-222-2222-2-22-2-2-2-22200200-22-2-2-222-2-222-22-2-22200002-200000000-2200000000000000000000000000000000002i−2i−2i2i0000
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χ614444444-2-2444-2-2-2-2-2-2-2-2-2-244144-2-2-2111-2-2-2-2-2-2-21111-2-2-2-2111111-2-2-2-211111100000000000000000000000000000000000000
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χ934-4−4i4i0004-2000-4−2i32i32−4i4i2i−2i−232300-200000−2i32i3200000002i−2i−2323000000000000000000002-2−2i2i−1−i31+i3−1+i31−i3−2ζ112ζ11−2ζ72ζ700000000000000000000000000
χ944-4−4i4i0004-2000-4−2i32i32−4i4i2i−2i−232300-200000−2i32i3200000002i−2i−232300000000000000000000-222i−2i1+i3−1−i31−i3−1+i32ζ11−2ζ112ζ7−2ζ700000000000000000000000000
χ954-4−4i4i0004-2000-42i3−2i32−4i4i2i−2i23−2300-2000002i3−2i3200000002i−2i23−23000000000000000000002-2−2i2i−1+i31−i3−1−i31+i3−2ζ72ζ7−2ζ112ζ1100000000000000000000000000
χ964-4−4i4i0004-2000-42i3−2i32−4i4i2i−2i23−2300-2000002i3−2i3200000002i−2i23−2300000000000000000000-222i−2i1−i3−1+i31+i3−1−i32ζ7−2ζ72ζ11−2ζ1100000000000000000000000000
χ978-88i−8i000-48000400-8−4i4i8i−8i0000-4000000040000000−4i4i000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-40004−4i34i34−4i4i−4i4i43−43002000002i3−2i3-200000002i−2i−23230000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-400044i3−4i34−4i4i−4i4i−434300200000−2i32i3-200000002i−2i23−230000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i000-48000400-84i−4i−8i8i0000-40000000400000004i−4i000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-40004−4i34i344i−4i4i−4i−4343002000002i3−2i3-20000000−2i2i23−230000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-400044i3−4i344i−4i4i−4i43−4300200000−2i32i3-20000000−2i2i−23230000000000000000000000000000000000000000000000000000000000

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