Finite Group Databasebeta

← Group #11787117

Character table — Group #11787117

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order124422233444666612121212121236666666612121212121212121266881212242424242424242424242424242424242244888888882424242424242424446612121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1
χ911-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i1-11-1ii−i−iii−i−iiiii−i−i−i−i1-11-11-111-1-1ii−i−iii−i−i1-1
χ1011-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i1-11-1ii−i−i−i−iiiiiii−i−i−i−i-111-11-1-1-111−i−iii−i−iii-11
χ1111-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i-11-11−i−iiiii−i−i−i−i−i−iiiii1-1-11-1111-1-1ii−i−i−i−iii-11
χ1211-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i-11-11−i−iii−i−iii−i−i−i−iiiii-11-11-11-1-111−i−iiiii−i−i1-1
χ1311-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii1-11-1−i−iiiii−i−i−i−i−i−iiiii-111-11-1-1-111ii−i−iii−i−i-11
χ1411-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii1-11-1−i−iii−i−iii−i−i−i−iiiii1-11-11-111-1-1−i−iii−i−iii1-1
χ1511-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii-11-11ii−i−iii−i−iiiii−i−i−i−i-11-11-11-1-111ii−i−i−i−iii1-1
χ1611-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii-11-11ii−i−i−i−iiiiiii−i−i−i−i1-1-11-1111-1-1−i−iiiii−i−i-11
χ1722222222-1222-1-12-1-1-122-1-1-122-1-1-1-1-1222-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1222222220000-1-1-1-1-1-1-1-100-1-1-1-100000000000000
χ1822222222-1222-1-12-1-1-122-1-1-122-1-1-1-1-1222-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-200001111111100111100000000000000
χ1922222222-1222-1-12-1-1-122-1-1-122-1-1-1-1-1222-1-1-1-12-1-1-1-1-2-2-1-11111-2-21111-2-211112222-2-2-2-200001111111100-1-1-1-100000000000000
χ2022222222-1222-1-12-1-1-122-1-1-122-1-1-1-1-1222-1-1-1-12-1-1-1-1-2-2-1-11111-2-21111-2-21111-2-2-2-222220000-1-1-1-1-1-1-1-100111100000000000000
χ212222222-1222222-1222-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000220000-1-1-1-1-1-1-1-1000000
χ222222222-1222222-1222-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200000000-2-2000011111111000000
χ232222222-1222222-1222-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100000000222200000000-2-200001111-1-1-1-1000000
χ242222222-1222222-1222-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100000000-2-2-2-200000000220000-1-1-1-11111000000
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χ2722222-2-22-1-2-22-1-12-1-1-122-1-1-12-211-1-1-1-2-2-211-1-12-1-1110011−i3i3−i3i300−i3−i3i3i300−i3−i3i3i32-2-2200000000−i3−i3i3i3−i3−i3i3i300-111-100000000000000
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χ2922222-2-22-1-2-22-1-12-1-1-122-1-1-12-211-1-1-1-2-2-211-1-12-1-1110011i3−i3i3−i300i3i3−i3−i300i3i3−i3−i32-2-2200000000i3i3−i3−i3i3i3−i3−i300-111-100000000000000
χ3022222-2-22-1-2-22-1-12-1-1-122-1-1-12-211-1-1-1-2-2-211-1-12-1-1110011i3−i3i3−i300i3i3−i3−i300i3i3−i3−i3-222-200000000−i3−i3i3i3−i3−i3i3i3001-1-1100000000000000
χ312222-22-2222-2-2-2-222-2-222222-2-22-2-2-2222-22-222-2-2-22-2002-2000000000000000000000000000000000000000000000000002-22-200
χ322222-22-2222-2-2-2-222-2-222222-2-22-2-2-2222-22-222-2-2-22-2002-200000000000000000000000000000000000000000000000000-22-2200
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χ362222-2-22-12-22-2-2-2-12-2-2-1-122-11-1-2211-111-1-22-1-11111-1001-100003−33−33−33−33−33−300000000-22-2200000000000000−33−331-11-1000000
χ372222-2-22-12-22-2-2-2-12-2-2-1-122-11-1-2211-111-1-22-1-11111-1001-10000−33−33−33−33−33−33000000002-22-200000000000000−33−33-11-11000000
χ382222-2-22-12-22-2-2-2-12-2-2-1-122-11-1-2211-111-1-22-1-11111-1001-10000−33−33−33−33−33−3300000000-22-22000000000000003−33−31-11-1000000
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χ4122-2-22222-1-2-2-2-1-12-111-2-211-122-1-1-1-1-12-2-21111-211-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i2-22-2−2i−2i2i2i0000iiii−i−i−i−i00-11-1100000000000000
χ4222-2-22222-1-2-2-2-1-12-111-2-211-122-1-1-1-1-12-2-21111-211-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i-22-222i2i−2i−2i0000−i−i−i−iiiii001-11-100000000000000
χ4322-2-2222-12-2-2-222-12-2-211-2-2-1-1-122-1-1-1-111-2-211111-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii000000002i2i−2i−2i000000002-20000-1-111−i−iii000000
χ4422-2-2222-12-2-2-222-12-2-211-2-2-1-1-122-1-1-1-111-2-211111-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii00000000−2i−2i2i2i00000000-22000011-1-1ii−i−i000000
χ4522-2-2222-12-2-2-222-12-2-211-2-2-1-1-122-1-1-1-111-2-211111-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i000000002i2i−2i−2i00000000-22000011-1-1−i−iii000000
χ4622-2-2222-12-2-2-222-12-2-211-2-2-1-1-122-1-1-1-111-2-211111-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i00000000−2i−2i2i2i000000002-20000-1-111ii−i−i000000
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χ4822-2-22-2-22222-22222-2-2-2-2-2-222-2-2-2222-22222-2-2-2-2-2-2-200220000000000000000-2-222000000000000000000-2-22200000000000000
χ4922-2-22-2-22-122-2-1-12-111-2-211-12-211-1-1-1-222-1-111-2111100-1-13−3−330033−3−300−3−33322-2-20000000033−3−3−3−33300-1-11100000000000000
χ5022-2-22-2-22-122-2-1-12-111-2-211-12-211-1-1-1-222-1-111-2111100-1-13−3−330033−3−300−3−333-2-22200000000−3−33333−3−30011-1-100000000000000
χ5122-2-22-2-22-122-2-1-12-111-2-211-12-211-1-1-1-222-1-111-2111100-1-1−333−300−3−3330033−3−322-2-200000000−3−33333−3−300-1-11100000000000000
χ5222-2-22-2-22-122-2-1-12-111-2-211-12-211-1-1-1-222-1-111-2111100-1-1−333−300−3−3330033−3−3-2-2220000000033−3−3−3−3330011-1-100000000000000
χ5322-2-2-22-222-222-2-22222-2-2-2-22-2-22-2-2-222-22-22-2-22222-200-22000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ5422-2-2-22-222-222-2-22222-2-2-2-22-2-22-2-2-222-22-22-2-22222-200-2200000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ5522-2-2-2-22222-22-2-22222-2-2-2-22-22-22-2-22-22-22-2-2-2222-22002-20000000000000000000000002i−2i−2i2i0000000000000000002i−2i−2i2i000000
χ5622-2-2-2-22222-22-2-22222-2-2-2-22-22-22-2-22-22-22-2-2-2222-22002-2000000000000000000000000−2i2i2i−2i000000000000000000−2i2i2i−2i000000
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χ884-44i−4i0004-2000−2i32i3-4223−234i−4i−2i2i-20000−2i32i3200000−2i2i023−2300000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300002ζ23−2ζ232ζ7−2ζ7−2ζ52ζ5−2ζ132ζ1300000000000000000000
χ894-44i−4i0004-20002i3−2i3-42−23234i−4i−2i2i-200002i3−2i3200000−2i2i0−2323000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−2ζ72ζ7−2ζ232ζ232ζ13−2ζ132ζ5−2ζ500000000000000000000
χ904-44i−4i0004-20002i3−2i3-42−23234i−4i−2i2i-200002i3−2i3200000−2i2i0−232300000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300002ζ7−2ζ72ζ23−2ζ23−2ζ132ζ13−2ζ52ζ500000000000000000000
χ914-4−4i4i0004400000-4-400−4i4i−4i4i4000000-400000−4i4i00000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000
χ924-4−4i4i0004400000-4-400−4i4i−4i4i4000000-400000−4i4i000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000000000
χ934-4−4i4i0004-2000−2i32i3-42−2323−4i4i2i−2i-20000−2i32i32000002i−2i0−232300000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300002ζ5−2ζ52ζ13−2ζ13−2ζ232ζ23−2ζ72ζ700000000000000000000
χ944-4−4i4i0004-2000−2i32i3-42−2323−4i4i2i−2i-20000−2i32i32000002i−2i0−2323000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−2ζ52ζ5−2ζ132ζ132ζ23−2ζ232ζ7−2ζ700000000000000000000
χ954-4−4i4i0004-20002i3−2i3-4223−23−4i4i2i−2i-200002i3−2i32000002i−2i023−2300000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300002ζ13−2ζ132ζ5−2ζ5−2ζ72ζ7−2ζ232ζ2300000000000000000000
χ964-4−4i4i0004-20002i3−2i3-4223−23−4i4i2i−2i-200002i3−2i32000002i−2i023−23000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−2ζ132ζ13−2ζ52ζ52ζ7−2ζ72ζ23−2ζ2300000000000000000000
χ978-88i−8i000-48000004-800−4i4i8i−8i-4000000400000−4i4i00000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-4000−4i34i34443−43−4i4i−4i4i200002i3−2i3-2000002i−2i0−232300000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-40004i3−4i344−4343−4i4i−4i4i20000−2i32i3-2000002i−2i023−2300000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i000-48000004-8004i−4i−8i8i-40000004000004i−4i00000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-4000−4i34i344−43434i−4i4i−4i200002i3−2i3-200000−2i2i023−2300000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-40004i3−4i34443−434i−4i4i−4i20000−2i32i3-200000−2i2i0−232300000000000000000000000000000000000000000000000000000000000000

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