Finite Group Databasebeta

← Group #11787109

Character table — Group #11787109

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order12442223344466661212121212123666666668888121212121212121212661212242424242424242424242424242424248888242424242424242444448812121212121212122424242422448888
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
χ51111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1
χ81111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111
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χ1011-1-111111-1-1-11111-1-1-1-1-1-1111111111ii−i−i-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−i1-1-11−ii11-1-1-1-111−i−iii-11-11−i−iii
χ1111-1-111111-1-1-11111-1-1-1-1-1-1111111111ii−i−i-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−iiiii−i−i−i−i−i−iii−i−i−i−iiiii-111-1i−i-1-11111-1-1ii−i−i-11-11−i−iii
χ1211-1-111111-1-1-11111-1-1-1-1-1-1111111111ii−i−i-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−iiiii−i−i−i−i−i−iii−i−i−i−iiiii-11-11−ii-1-111-1-111−i−iii1-11-1ii−i−i
χ1311-1-111111-1-1-11111-1-1-1-1-1-1111111111−i−iii-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii−i−i−i−iiiiiii−i−iiiii−i−i−i−i-111-1−ii-1-11111-1-1−i−iii-11-11ii−i−i
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χ1822222222-12222-12222-1-122-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000-2-2-2-200001111111100000000
χ1922222222-12222-12222-1-122-122-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2111111110000000000000022-2-20000-1-1-1-1111100000000
χ2022222222-12222-12222-1-122-122-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111100000000000000-2-22200001111-1-1-1-100000000
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χ222222222-12222-12-1-1-1-122-1-1-1-1-122-1-1-122222-1-122-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2000011110000000000000000
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χ242222222-12222-12-1-1-1-122-1-1-1-1-122-1-1-12-2-2-2-2-1-122-1-1-1-12-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111220000-1-1-1-10000000000000000
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χ322222-22-22-12-2-22-12222-1-122-1-2-21-1-1-1-11-22-22-2-2-11-1-1-1-1111111-11-1-22-2211-1-111-1-10000000000000000000000−33−333−33−300000000
χ332222-22-2-122-2-2-12-1-1-1-122-1-1-111-22-1-1-1-22-22-2112-2-1-1-1-1-211112-22-2-11-11-1-111-1-1110000−i3−i3i3i3−i3−i3i3i3000000−i3i3−i3i30000000000000000
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χ382222-2-2222-22-222-2-2-2-222222-22-2-2-2-2220000-22-22-2-222-2-22-2200000000000000000000000000000000000000000000000000-22-22
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χ4322-2-2222-12-2-2-2-12-1-111-2-211-1-1-122-1-1-122i2i−2i−2i11-2-21111-2-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii2i2i−2i−2i−i−i−i−iiiii2-20000-1-1110000000000000000
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χ874-44i−4i000-240002-4−2i32i323−234i−4i−2i2i-20000−2i32i3200000000023−23−2i2i0000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ72ζ7−2ζ232ζ232ζ13−2ζ132ζ5−2ζ500000000000000000000000000
χ884-44i−4i000-240002-4−2i32i323−234i−4i−2i2i-20000−2i32i3200000000023−23−2i2i000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ7−2ζ72ζ23−2ζ23−2ζ132ζ13−2ζ52ζ500000000000000000000000000
χ894-44i−4i000-240002-42i3−2i3−23234i−4i−2i2i-200002i3−2i32000000000−2323−2i2i0000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ232ζ23−2ζ72ζ72ζ5−2ζ52ζ13−2ζ1300000000000000000000000000
χ904-44i−4i000-240002-42i3−2i3−23234i−4i−2i2i-200002i3−2i32000000000−2323−2i2i000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ23−2ζ232ζ7−2ζ7−2ζ52ζ5−2ζ132ζ1300000000000000000000000000
χ914-4−4i4i00044000-4-40000−4i4i−4i4i4000000-400000000000−4i4i000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000
χ924-4−4i4i00044000-4-40000−4i4i−4i4i4000000-400000000000−4i4i0000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000
χ934-4−4i4i000-240002-4−2i32i3−2323−4i4i2i−2i-20000−2i32i32000000000−23232i−2i000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ13−2ζ132ζ5−2ζ5−2ζ72ζ7−2ζ232ζ2300000000000000000000000000
χ944-4−4i4i000-240002-4−2i32i3−2323−4i4i2i−2i-20000−2i32i32000000000−23232i−2i0000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ132ζ13−2ζ52ζ52ζ7−2ζ72ζ23−2ζ2300000000000000000000000000
χ954-4−4i4i000-240002-42i3−2i323−23−4i4i2i−2i-200002i3−2i3200000000023−232i−2i000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ5−2ζ52ζ13−2ζ13−2ζ232ζ23−2ζ72ζ700000000000000000000000000
χ964-4−4i4i000-240002-42i3−2i323−23−4i4i2i−2i-200002i3−2i3200000000023−232i−2i0000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ52ζ5−2ζ132ζ132ζ23−2ζ232ζ7−2ζ700000000000000000000000000
χ978-88i−8i0008-4000-840000−4i4i8i−8i-4000000400000000000−4i4i00000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-400044−4i34i343−43−4i4i−4i4i200002i3−2i3-2000000000−23232i−2i00000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-4000444i3−4i3−4343−4i4i−4i4i20000−2i32i3-200000000023−232i−2i00000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-4000-8400004i−4i−8i8i-40000004000000000004i−4i00000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-400044−4i34i3−43434i−4i4i−4i200002i3−2i3-200000000023−23−2i2i00000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-4000444i3−4i343−434i−4i4i−4i20000−2i32i3-2000000000−2323−2i2i00000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.