Finite Group Databasebeta

← Group #11787780

Character table — Group #11787780

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order124422233444666612121212121236666666688881212121212121212126612122424242424242424242424242424242444441212121212121212244444661212121212121212121222448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1
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
χ51111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1
χ911-1-11-1-11111-11-1-1111-1-1-1-11-11-1-1-111-1ii−i−i1-111-111-1-11-11-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-11-1i−ii−i11ii−i−i-1-1ii−i−i11-1-1ii−i−i
χ1011-1-11-1-11111-11-1-1111-1-1-1-11-11-1-1-111-1ii−i−i1-111-111-1-11-11-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1-11i−i−ii-1-1ii−i−i11−i−iii-1-111−i−iii
χ1111-1-11-1-11111-11-1-1111-1-1-1-11-11-1-1-111-1ii−i−i1-111-111-1-11-11-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-111111-1−iii−i11−i−iii-1-1ii−i−i-1-111−i−iii
χ1211-1-11-1-11111-11-1-1111-1-1-1-11-11-1-1-111-1ii−i−i1-111-111-1-11-11-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-11111-11−ii−ii-1-1−i−iii11−i−iii11-1-1ii−i−i
χ1311-1-11-1-11111-11-1-1111-1-1-1-11-11-1-1-111-1−i−iii1-111-111-1-11-11-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-11-1−ii−ii11−i−iii-1-1−i−iii11-1-1−i−iii
χ1411-1-11-1-11111-11-1-1111-1-1-1-11-11-1-1-111-1−i−iii1-111-111-1-11-11-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1-11−iii−i-1-1−i−iii11ii−i−i-1-111ii−i−i
χ1511-1-11-1-11111-11-1-1111-1-1-1-11-11-1-1-111-1−i−iii1-111-111-1-11-11-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-111111-1i−i−ii11ii−i−i-1-1−i−iii-1-111ii−i−i
χ1611-1-11-1-11111-11-1-1111-1-1-1-11-11-1-1-111-1−i−iii1-111-111-1-11-11-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-11111-11i−ii−i-1-1ii−i−i11ii−i−i11-1-1−i−iii
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χ1822222222-1222222-12222-1-1-12-1-1-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000000000000-2-200-2-211000011111100000000
χ1922222222-1222222-12222-1-1-12-1-1-1-1-12-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-2-211-2-211111111110000000000002200-2-2-1-10000-1-1111100000000
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χ2522222-2-222-2-222-2-22-2-222222-22-2-2-222-20000-22-2-22-2-2222-2-2200000000000000000000000000000000000000000000002-22-20000
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χ282222-22-2222-2-222222222222-2-22222-2-20000-2-22-2-22222-2-2-2-200000000000000000000000000000000000000000000000000-22-22
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χ382222-2-22-12-22-2-111211-1-122-1-1-2-211-112-22-22-11-22-211-1-11-1-111-1-221-1-2211-1-111-1-10000−3−333−3−333000000003−33−300000000000000
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χ4922-2-2-22-222-2222222-2-2-2-2-2-22-2-22222-2-22i−2i−2i2i22-222-2-2-2-2-2-2222i−2i2i−2i−2i2i−2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000
χ5022-2-2-22-222-2222222-2-2-2-2-2-22-2-22222-2-2−2i2i2i−2i22-222-2-2-2-2-2-222−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000
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χ5422-2-2-22-22-1-222222-1-2-2-2-211-1-21-1-1-1-1-21−2i2i2i−2i221-1-1111111-1-1−2i2ii−i2i−2i−iiii−i−i−i−iii000000000000000000i3−i30000−i3i33−3−3300000000
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χ884-44i−4i000-240002−2i32i3-423−23−2i2i4i−4i-2000−2i32i320000000000023−23−2i2i00000000000000000000-22−2i2i1−3−1+31+3−1−3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000000000000000000
χ894-44i−4i000-2400022i3−2i3-4−2323−2i2i4i−4i-20002i3−2i3200000000000−2323−2i2i000000000000000000002-22i−2i−1−31+3−1+31−3−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000000000000000000
χ904-44i−4i000-2400022i3−2i3-4−2323−2i2i4i−4i-20002i3−2i3200000000000−2323−2i2i00000000000000000000-22−2i2i1+3−1−31−3−1+3ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000000000000000000
χ914-4−4i4i00044000-400-400−4i4i−4i4i400000-40000000000000−4i4i000000000000000000002-2−2i2i2-22-2−2i2i−2i2i00000000000000000000000000
χ924-4−4i4i00044000-400-400−4i4i−4i4i400000-40000000000000−4i4i00000000000000000000-222i−2i-22-222i−2i2i−2i00000000000000000000000000
χ934-4−4i4i000-240002−2i32i3-4−23232i−2i−4i4i-2000−2i32i3200000000000−23232i−2i000000000000000000002-2−2i2i−1−31+3−1+31−3ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000000000000000000
χ944-4−4i4i000-240002−2i32i3-4−23232i−2i−4i4i-2000−2i32i3200000000000−23232i−2i00000000000000000000-222i−2i1+3−1−31−3−1+3−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000000000000000000
χ954-4−4i4i000-2400022i3−2i3-423−232i−2i−4i4i-20002i3−2i320000000000023−232i−2i000000000000000000002-2−2i2i−1+31−3−1−31+3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000000000000000000
χ964-4−4i4i000-2400022i3−2i3-423−232i−2i−4i4i-20002i3−2i320000000000023−232i−2i00000000000000000000-222i−2i1−3−1+31+3−1−3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1100000000000000000000000000
χ978-88i−8i0008-4000-8004008i−8i−4i4i-40000040000000000000−4i4i0000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-40004−4i34i3443−43−4i4i−4i4i20002i3−2i3-200000000000−23232i−2i0000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-400044i3−4i34−4343−4i4i−4i4i2000−2i32i3-20000000000023−232i−2i0000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-4000-800400−8i8i4i−4i-400000400000000000004i−4i0000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-40004−4i34i34−43434i−4i4i−4i20002i3−2i3-20000000000023−23−2i2i0000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-400044i3−4i3443−434i−4i4i−4i2000−2i32i3-200000000000−2323−2i2i0000000000000000000000000000000000000000000000000000000000

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