Finite Group Databasebeta

← Group #11790530

Character table — Group #11790530

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12442223344466661212121212123666666661212121212121212128888668812122424242424242424242424242424242444448824242424242424248888121212122424242424242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
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
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
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
χ911-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1111-111-1-1-1-1-11111-1-1-1-1i−i11ii−i−iii−i−iiiii−i−i−i−iii−i−i1-11111-1-1-1-1i−i1-1ii−i−iii−i−i11-1-1ii−i−i1-1
χ1011-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1111-111-1-1-1-1-11111-1-1-1-1i−i11ii−i−iii−i−iiiii−i−i−i−i−i−iii1-11111-1-1-1-1i−i-11−i−iiiii−i−i-1-111−i−iii-11
χ1111-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1111-111-1-1-1-1-11111-1-1-1-1−ii11−i−iii−i−iii−i−i−i−iiiiiii−i−i1-11111-1-1-1-1−ii-11ii−i−i−i−iii-1-111ii−i−i-11
χ1211-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1111-111-1-1-1-1-11111-1-1-1-1−ii11−i−iii−i−iii−i−i−i−iiiii−i−iii1-11111-1-1-1-1−ii1-1−i−iii−i−iii11-1-1−i−iii1-1
χ1311-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1111-111-1-1-1-1-111-1-111-1-1i−i11ii−i−iii−i−iiiii−i−i−i−iii−i−i-11-1-1-1-11111−ii1-1ii−i−i−i−iii11-1-1−i−iii-11
χ1411-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1111-111-1-1-1-1-111-1-111-1-1i−i11ii−i−iii−i−iiiii−i−i−i−i−i−iii-11-1-1-1-11111−ii-11−i−iii−i−iii-1-111ii−i−i1-1
χ1511-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1111-111-1-1-1-1-111-1-111-1-1−ii11−i−iii−i−iii−i−i−i−iiiiiii−i−i-11-1-1-1-11111i−i-11ii−i−iii−i−i-1-111−i−iii1-1
χ1611-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1111-111-1-1-1-1-111-1-111-1-1−ii11−i−iii−i−iii−i−i−i−iiiii−i−iii-11-1-1-1-11111i−i1-1−i−iiiii−i−i11-1-1ii−i−i-11
χ1722222222-1222222-122-1-122-1-122-1-1-1-1-12-1-1-1-1-1-12-10000-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222200000000000022-1-1-1-10000-1-1-1-1000000
χ1822222222-1222222-122-1-122-1-122-1-1-1-1-12-1-1-1-1-1-12-10000-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000000000000-2-2111100001111000000
χ1922222222-1222222-122-1-122-1-122-1-1-1-1-12-1-1-1-1-1-12-10000-1-1-2-2-1-11111-2-2-2-2111111112222000000000000-2-2-1-1-1-100001111000000
χ2022222222-1222222-122-1-122-1-122-1-1-1-1-12-1-1-1-1-1-12-10000-1-1-2-2-1-11111-2-2-2-211111111-2-2-2-20000000000002211110000-1-1-1-1000000
χ212222222-12222-1-1-12-1-122-1-1-12-1-12-1-1-12-122-1-1-1-1-122222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-122000000-1-1-1-10000000000
χ222222222-12222-1-1-12-1-122-1-1-12-1-12-1-1-12-122-1-1-1-1-122222-1-1-2-2-1-1-2-2-2-2111111111111000022-1-1-1-1-1-1-1-1-2-200000011110000000000
χ232222222-12222-1-1-12-1-122-1-1-12-1-12-1-1-12-122-1-1-1-1-12-2-2-2-2-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111-2-200000011110000000000
χ242222222-12222-1-1-12-1-122-1-1-12-1-12-1-1-12-122-1-1-1-1-12-2-2-2-2-1-1-2-2-1-1-2-2-2-21111111111110000-2-21111111122000000-1-1-1-10000000000
χ2522222-2-2222-2-2222222222222-2-2-2222-2-2-222222-2-20000-2-200-2-200000000000000002i−2i2i−2i000000000000002i−2i2i−2i00000000000000
χ2622222-2-2222-2-2222222222222-2-2-2222-2-2-222222-2-20000-2-200-2-20000000000000000−2i2i−2i2i00000000000000−2i2i−2i2i00000000000000
χ2722222-2-22-12-2-2222-122-1-122-1-1-2-21-1-1-11-21-1-1-1-1-1-210000110011−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i32i−2i2i−2i00000000000000−ii−ii00003−33−3000000
χ2822222-2-22-12-2-2222-122-1-122-1-1-2-21-1-1-11-21-1-1-1-1-1-210000110011−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3−2i2i−2i2i00000000000000i−ii−i0000−33−33000000
χ2922222-2-22-12-2-2222-122-1-122-1-1-2-21-1-1-11-21-1-1-1-1-1-210000110011i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i32i−2i2i−2i00000000000000−ii−ii0000−33−33000000
χ3022222-2-22-12-2-2222-122-1-122-1-1-2-21-1-1-11-21-1-1-1-1-1-210000110011i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3−2i2i−2i2i00000000000000i−ii−i00003−33−3000000
χ312222-22-222-2-22-2-222-2-222222-22-22-2-22-22-2-2-2-222-2200002-2002-200000000000000000000000000000000000000000000002-22-200
χ322222-22-222-2-22-2-222-2-222222-22-22-2-22-22-2-2-2-222-2200002-2002-20000000000000000000000000000000000000000000000-22-2200
χ332222-2-2222-22-2-2-222-2-222222-2-22-2-2-222-22-2-2-2222-22222-2200-2200000000000000000000-2-222-2-222-2-20000000000000000000000
χ342222-2-2222-22-2-2-222-2-222222-2-22-2-2-222-22-2-2-2222-2-2-2-2-2-2200-220000000000000000000022-2-222-2-2220000000000000000000000
χ352222-2-22-12-22-211-121122-1-1-1-21-1-211-1212-211-1-1-1-222221-1001-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000-2-2-1-111-1-11100000000−i3i3−i3i30000000000
χ362222-2-22-12-22-211-121122-1-1-1-21-1-211-1212-211-1-1-1-222221-1001-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000-2-2-1-111-1-11100000000i3−i3i3−i30000000000
χ372222-2-22-12-22-211-121122-1-1-1-21-1-211-1212-211-1-1-1-2-2-2-2-21-1001-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300002211-1-111-1-100000000i3−i3i3−i30000000000
χ382222-2-22-12-22-211-121122-1-1-1-21-1-211-1212-211-1-1-1-2-2-2-2-21-1001-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300002211-1-111-1-100000000−i3i3−i3i30000000000
χ3922-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200002200-2-200000000000000002-2-22000000000000002-2-2200000000000000
χ4022-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200002200-2-20000000000000000-222-200000000000000-222-200000000000000
χ4122-2-22222-1-2-2-2222-1-2-211-2-2-1-122-1-1-1-1-1-2111111-210000-1-100113−3−33000033−3−3−3−3332-2-2200000000000000-111-10000−333−3000000
χ4222-2-22222-1-2-2-2222-1-2-211-2-2-1-122-1-1-1-1-1-2111111-210000-1-100113−3−33000033−3−3−3−333-222-2000000000000001-1-1100003−3−33000000
χ4322-2-22222-1-2-2-2222-1-2-211-2-2-1-122-1-1-1-1-1-2111111-210000-1-10011−333−30000−3−33333−3−32-2-2200000000000000-111-100003−3−33000000
χ4422-2-22222-1-2-2-2222-1-2-211-2-2-1-122-1-1-1-1-1-2111111-210000-1-10011−333−30000−3−33333−3−3-222-2000000000000001-1-110000−333−3000000
χ4522-2-22-2-22-1-222222-1-2-211-2-2-1-1-2-21-1-1-112-1111112-10000112i−2i-1-1−i−iii2i2i−2i−2i−i−i−i−iiiii2i2i−2i−2i0000000000002-2−i−iii0000-1-111000000
χ4622-2-22-2-22-1-222222-1-2-211-2-2-1-1-2-21-1-1-112-1111112-10000112i−2i-1-1−i−iii2i2i−2i−2i−i−i−i−iiiii−2i−2i2i2i000000000000-22ii−i−i000011-1-1000000
χ4722-2-22-2-22-1-222222-1-2-211-2-2-1-1-2-21-1-1-112-1111112-1000011−2i2i-1-1ii−i−i−2i−2i2i2iiiii−i−i−i−i2i2i−2i−2i000000000000-22−i−iii000011-1-1000000
χ4822-2-22-2-22-1-222222-1-2-211-2-2-1-1-2-21-1-1-112-1111112-1000011−2i2i-1-1ii−i−i−2i−2i2i2iiiii−i−i−i−i−2i−2i2i2i0000000000002-2ii−i−i0000-1-111000000
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χ5022-2-22-2-2-12-222-1-1-1211-2-211-1211-2-1-1-1-2-12-21111-1222-2-211−2i2i-1-1−2i−2i2i2iii−i−iiiii−i−i−i−i00002-2-1-1-1-11111−2i2i000000ii−i−i0000000000
χ5122-2-22-2-2-12-222-1-1-1211-2-211-1211-2-1-1-1-2-12-21111-12-2-222112i−2i-1-12i2i−2i−2i−i−iii−i−i−i−iiiii0000-221111-1-1-1-1−2i2i000000ii−i−i0000000000
χ5222-2-22-2-2-12-222-1-1-1211-2-211-1211-2-1-1-1-2-12-21111-12-2-22211−2i2i-1-1−2i−2i2i2iii−i−iiiii−i−i−i−i0000-221111-1-1-1-12i−2i000000−i−iii0000000000
χ5322-2-2-22-22222-2-2-22222-2-2-2-22-22-22-2-22-2-22222-2-22-222-2-22-200-2200000000000000000000-2222-2-2-2-2220000000000000000000000
χ5422-2-2-22-22222-2-2-22222-2-2-2-22-22-22-2-22-2-22222-2-22-2-2-2222-200-22000000000000000000002-2-2-22222-2-20000000000000000000000
χ5522-2-2-22-2-1222-211-12-1-1-2-211-1-2-11211-1-2122-1-111-1-222-2-2-11001-100003−3−333−33−3−33−330000-22-1-11111-1-1000000003−3−330000000000
χ5622-2-2-22-2-1222-211-12-1-1-2-211-1-2-11211-1-2122-1-111-1-222-2-2-11001-10000−333−3−33−333−33−30000-22-1-11111-1-100000000−333−30000000000
χ5722-2-2-22-2-1222-211-12-1-1-2-211-1-2-11211-1-2122-1-111-1-2-2-222-11001-100003−3−333−33−3−33−3300002-211-1-1-1-11100000000−333−30000000000
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χ914-4−4i4i0004400000-4-400−4i4i−4i4i4000000-4000000−4i4i0022−222i2−2i2000000000000000000000000000022−22002i2−2i2000000000000000000000000
χ924-4−4i4i0004400000-4-400−4i4i−4i4i4000000-4000000−4i4i00−2222−2i22i20000000000000000000000000000−222200−2i22i2000000000000000000000000
χ934-4−4i4i000-24000−2i32i32-4−2323−4i4i2i−2i-20000−2i32i320000−23232i−2i0022−222i2−2i20000000000000000000000000000−22i6−i6−i2i2−660000000000000000000000
χ944-4−4i4i000-24000−2i32i32-4−2323−4i4i2i−2i-20000−2i32i320000−23232i−2i00−2222−2i22i200000000000000000000000000002−2−i6i6i2−i26−60000000000000000000000
χ954-4−4i4i000-240002i3−2i32-423−23−4i4i2i−2i-200002i3−2i32000023−232i−2i0022−222i2−2i20000000000000000000000000000−22−i6i6−i2i26−60000000000000000000000
χ964-4−4i4i000-240002i3−2i32-423−23−4i4i2i−2i-200002i3−2i32000023−232i−2i00−2222−2i22i200000000000000000000000000002−2i6−i6i2−i2−660000000000000000000000
χ978-88i−8i0008-400000-8400−4i4i8i−8i-40000004000000−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-4000−4i34i34443−43−4i4i−4i4i200002i3−2i3-20000−23232i−2i0000000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-40004i3−4i344−4343−4i4i−4i4i20000−2i32i3-2000023−232i−2i0000000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-400000-84004i−4i−8i8i-400000040000004i−4i0000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-4000−4i34i344−43434i−4i4i−4i200002i3−2i3-2000023−23−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-40004i3−4i34443−434i−4i4i−4i20000−2i32i3-20000−2323−2i2i0000000000000000000000000000000000000000000000000000000000000000

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