Finite Group Databasebeta

← Group #11786013

Character table — Group #11786013

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12442223344466661212121212123666666661212121212121212128888668812122424242424242424242424242424242444448824242424242424244488121212121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1
χ91111-11-111-11-1-1-1111111-1-111-1-1-1-111-11-1-111-1-1-1111111-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-1-1-11111-1-1-1-1i−ii−i11-1-1ii−i−iii−i−i11-1-1i−i
χ101111-11-111-11-1-1-1111111-1-111-1-1-1-111-11-1-111-1-1-1111111-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-1-111-1-11111-1-1-1-1−iii−i-1-111−i−iiiii−i−i-1-111−ii
χ111111-11-111-11-1-1-1111111-1-111-1-1-1-111-11-1-111-1-1-1111111-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii11-1-1-1-11111-1-1-1-1−ii−ii11-1-1−i−iii−i−iii11-1-1−ii
χ121111-11-111-11-1-1-1111111-1-111-1-1-1-111-11-1-111-1-1-1111111-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-1-111-1-11111-1-1-1-1i−i−ii-1-111ii−i−i−i−iii-1-111i−i
χ131111-11-111-11-1-1-1111111-1-111-1-1-1-111-11-1-111-1-1-11-1-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-111-1-1-1-11111i−i−ii11-1-1ii−i−i−i−iii-1-111−ii
χ141111-11-111-11-1-1-1111111-1-111-1-1-1-111-11-1-111-1-1-11-1-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-1-11111-1-1-1-11111−ii−ii-1-111−i−iii−i−iii11-1-1i−i
χ151111-11-111-11-1-1-1111111-1-111-1-1-1-111-11-1-111-1-1-11-1-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii11-1-111-1-1-1-11111−iii−i11-1-1−i−iiiii−i−i-1-111i−i
χ161111-11-111-11-1-1-1111111-1-111-1-1-1-111-11-1-111-1-1-11-1-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-1-11111-1-1-1-11111i−ii−i-1-111ii−i−iii−i−i11-1-1−ii
χ1722222222-1222222-122-1-122-122-1-1-1-1-1-1-12-1-1-1-1-1-120000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000000002200-1-1-1-1-1-1-1-10000000000
χ1822222222-1222222-122-1-122-122-1-1-1-1-1-1-12-1-1-1-1-1-120000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-200111111110000000000
χ1922222222-1222222-122-1-122-122-1-1-1-1-1-1-12-1-1-1-1-1-120000-1-1-2-2-1-1-2-2-2-211111111111122220000000000-2-200-1-1-1-111110000000000
χ2022222222-1222222-122-1-122-122-1-1-1-1-1-1-12-1-1-1-1-1-120000-1-1-2-2-1-1-2-2-2-2111111111111-2-2-2-2000000000022001111-1-1-1-10000000000
χ212222222-12222-1-1-12-1-122-1-1-1-1-12-1-1-1222-12-1-12-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1000022-1-1-1-1-1-1-1-1002200000000-1-1-1-1000000
χ222222222-12222-1-1-12-1-122-1-1-1-1-12-1-1-1222-12-1-12-1-1-12222-1-1-2-2-1-11111-2-21111-2-21111000022-1-1-1-1-1-1-1-100-2-2000000001111000000
χ232222222-12222-1-1-12-1-122-1-1-1-1-12-1-1-1222-12-1-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-21111111100-2-2000000001111000000
χ242222222-12222-1-1-12-1-122-1-1-1-1-12-1-1-1222-12-1-12-1-1-1-2-2-2-2-1-1-2-2-1-11111-2-21111-2-211110000-2-211111111002200000000-1-1-1-1000000
χ2522222-2-222-2-2222222222222-2-22222-2-2-2-2-222222-20000-2-200-2-200000000000000002i−2i2i−2i000000000000002i−2i2i−2i00000000000000
χ2622222-2-222-2-2222222222222-2-22222-2-2-2-2-222222-20000-2-200-2-20000000000000000−2i2i−2i2i00000000000000−2i2i−2i2i00000000000000
χ2722222-2-22-1-2-22222-122-1-122-1-2-2-1-1-1-1111-21-1-1-1-1-1-200001100110000−i3i3−i3−i3i3i3−i3i3−i3−i3i3i32i−2i2i−2i00000000000000−ii−ii3−33−30000000000
χ2822222-2-22-1-2-22222-122-1-122-1-2-2-1-1-1-1111-21-1-1-1-1-1-200001100110000−i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−2i2i−2i2i00000000000000i−ii−i−33−330000000000
χ2922222-2-22-1-2-22222-122-1-122-1-2-2-1-1-1-1111-21-1-1-1-1-1-200001100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i32i−2i2i−2i00000000000000−ii−ii−33−330000000000
χ3022222-2-22-1-2-22222-122-1-122-1-2-2-1-1-1-1111-21-1-1-1-1-1-200001100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3−2i2i−2i2i00000000000000i−ii−i3−33−30000000000
χ312222-22-22-1-22-2-2-22-122-1-1-2-2-12-2111-1-11-1-21-1-111120000-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii22-2-200000000002i−2i00-1-111−i−iii0000000000
χ322222-22-22-1-22-2-2-22-122-1-1-2-2-12-2111-1-11-1-21-1-111120000-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii-2-2220000000000−2i2i0011-1-1ii−i−i0000000000
χ332222-22-22-1-22-2-2-22-122-1-1-2-2-12-2111-1-11-1-21-1-111120000-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i22-2-20000000000−2i2i00-1-111ii−i−i0000000000
χ342222-22-22-1-22-2-2-22-122-1-1-2-2-12-2111-1-11-1-21-1-111120000-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i-2-22200000000002i−2i0011-1-1−i−iii0000000000
χ352222-22-2-12-22-211-12-1-12211-1-11-211-12-221-2-1-1-211-12222-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii0000-2-2-1-1-1-11111002i−2i00000000−i−iii000000
χ362222-22-2-12-22-211-12-1-12211-1-11-211-12-221-2-1-1-211-12222-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i0000-2-2-1-1-1-1111100−2i2i00000000ii−i−i000000
χ372222-22-2-12-22-211-12-1-12211-1-11-211-12-221-2-1-1-211-1-2-2-2-2-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii0000221111-1-1-1-100−2i2i00000000ii−i−i000000
χ382222-22-2-12-22-211-12-1-12211-1-11-211-12-221-2-1-1-211-1-2-2-2-2-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i0000221111-1-1-1-1002i−2i00000000−i−iii000000
χ392222-2-22222-2-2-2-2222222-2-22-22-2-2-22-22-22222-2-2-2-20000-2200-2200000000000000002i−2i−2i2i000000000000002i−2i−2i2i00000000000000
χ402222-2-22222-2-2-2-2222222-2-22-22-2-2-22-22-22222-2-2-2-20000-2200-220000000000000000−2i2i2i−2i00000000000000−2i2i2i−2i00000000000000
χ412222-2-222-12-2-2-2-22-122-1-1-2-2-1-22111-11-112-1-1-1111-200001-1001-100003−333−3−3−33−3−3332i−2i−2i2i00000000000000−iii−ii3−i3−i3i30000000000
χ422222-2-222-12-2-2-2-22-122-1-1-2-2-1-22111-11-112-1-1-1111-200001-1001-100003−333−3−3−33−3−333−2i2i2i−2i00000000000000i−i−ii−i3i3i3−i30000000000
χ432222-2-222-12-2-2-2-22-122-1-1-2-2-1-22111-11-112-1-1-1111-200001-1001-10000−33−3−3333−333−3−32i−2i−2i2i00000000000000−iii−i−i3i3i3−i30000000000
χ442222-2-222-12-2-2-2-22-122-1-1-2-2-1-22111-11-112-1-1-1111-200001-1001-10000−33−3−3333−333−3−3−2i2i2i−2i00000000000000i−i−iii3−i3−i3i30000000000
χ4522-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200002200-2-200000000000000000000000000000000000000000000002i−2i2i−2i00
χ4622-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200002200-2-20000000000000000000000000000000000000000000000−2i2i−2i2i00
χ4722-2-22-2-22222-22222-2-2-2-2-2-22-2-22222-2-2222-2-2-2-2-2222-2-2-2-20022000000000000000000002-222-2-222-2-20000000000000000000000
χ4822-2-22-2-22222-22222-2-2-2-2-2-22-2-22222-2-2222-2-2-2-2-22-2-222-2-2002200000000000000000000-22-2-222-2-2220000000000000000000000
χ4922-2-22-2-2-1222-2-1-1-1211-2-211-1112-1-1-1-2-22-1211-211-122-2-21100-1-13−33−3003−33−3003−33−300002-2-1-111-1-1110000000000003−33−3000000
χ5022-2-22-2-2-1222-2-1-1-1211-2-211-1112-1-1-1-2-22-1211-211-122-2-21100-1-1−33−3300−33−3300−33−3300002-2-1-111-1-111000000000000−33−33000000
χ5122-2-22-2-2-1222-2-1-1-1211-2-211-1112-1-1-1-2-22-1211-211-1-2-2221100-1-13−33−3003−33−3003−33−30000-2211-1-111-1-1000000000000−33−33000000
χ5222-2-22-2-2-1222-2-1-1-1211-2-211-1112-1-1-1-2-22-1211-211-1-2-2221100-1-1−33−3300−33−3300−33−330000-2211-1-111-1-10000000000003−33−3000000
χ5322-2-2-22-2222-22-2-222-2-2-2-22222-2-2-2-222-2-222-2-2222-200002-200-2200000000000000000000000000000000000000000000002i−2i−2i2i00
χ5422-2-2-22-2222-22-2-222-2-2-2-22222-2-2-2-222-2-222-2-2222-200002-200-220000000000000000000000000000000000000000000000−2i2i2i−2i00
χ5522-2-2-2-2222-222-2-222-2-2-2-2222-22-2-2-22-222-2-2-2-2222222-2-2-22002-200000000000000000000-2222-2-2-2-2220000000000000000000000
χ5622-2-2-2-2222-222-2-222-2-2-2-2222-22-2-2-22-222-2-2-2-22222-2-222-22002-2000000000000000000002-2-2-22222-2-20000000000000000000000
χ5722-2-2-2-22-12-22211-1211-2-2-1-1-11-1-211-1-2221-2112-1-1-122-2-21-100-11−i3i3i3−i300−i3i3−i3i300i3−i3i3−i30000-22-1-11111-1-1000000000000−i3i3i3−i3000000
χ5822-2-2-2-22-12-22211-1211-2-2-1-1-11-1-211-1-2221-2112-1-1-122-2-21-100-11i3−i3−i3i300i3−i3i3−i300−i3i3−i3i30000-22-1-11111-1-1000000000000i3−i3−i3i3000000
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χ614444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-211-211-20000114411-2-2-2-2-2-21111-2-21111000000000000000000000000000000000000
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χ664444-44-4-2-2-44-422-2-2-2-2-2-2221-222-1-11-22-222112-1-1-200001-14i−4i1-1−2i−2i2i2i−2i−2iiiii2i2i−i−i−i−i000000000000000000000000000000000000
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χ904-44i−4i000-240002i3−2i32-4−2i2i4i−4i−2323-20002i3−2i3200000−2i2i0−23230−22222i2−2i200000000000000000000000000002−2−i2i2i6−i66−60000000000000000000000
χ914-4−4i4i0004400000-4-4−4i4i−4i4i00400000-400000−4i4i000022−222i2−2i2000000000000000000000000000022−222i2−2i200000000000000000000000000
χ924-4−4i4i0004400000-4-4−4i4i−4i4i00400000-400000−4i4i0000−2222−2i22i20000000000000000000000000000−2222−2i22i200000000000000000000000000
χ934-4−4i4i000-24000−2i32i32-42i−2i−4i4i−2323-2000−2i32i32000002i−2i0−2323022−222i2−2i20000000000000000000000000000−22−i2i2i6−i6−660000000000000000000000
χ944-4−4i4i000-24000−2i32i32-42i−2i−4i4i−2323-2000−2i32i32000002i−2i0−23230−2222−2i22i200000000000000000000000000002−2i2−i2−i6i66−60000000000000000000000
χ954-4−4i4i000-240002i3−2i32-42i−2i−4i4i23−23-20002i3−2i32000002i−2i023−23022−222i2−2i20000000000000000000000000000−22−i2i2−i6i66−60000000000000000000000
χ964-4−4i4i000-240002i3−2i32-42i−2i−4i4i23−23-20002i3−2i32000002i−2i023−230−2222−2i22i200000000000000000000000000002−2i2−i2i6−i6−660000000000000000000000
χ978-88i−8i0008-400000-848i−8i−4i4i00-400000400000−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-4000−4i34i344−4i4i−4i4i43−4320002i3−2i3-2000002i−2i0−2323000000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-40004i3−4i344−4i4i−4i4i−43432000−2i32i3-2000002i−2i023−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-400000-84−8i8i4i−4i00-4000004000004i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-4000−4i34i3444i−4i4i−4i−434320002i3−2i3-200000−2i2i023−23000000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-40004i3−4i3444i−4i4i−4i43−432000−2i32i3-200000−2i2i0−2323000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).