Finite Group Databasebeta

← Group #11861159

Character table — Group #11861159

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222224444444444444466666666888888888888888888121212121212121212121212121212121212121216161616181818181818181824242424242424242424242436363636
order12442334661212121223444666881212121288888888666121212121212121212121224242424224488888888242424242424242461224242244444466121224242424242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111111111111111111-11-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111111111111111111111-11-11-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1111-1-111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111-1-1111-1-111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-1-11-1111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-11-1111-1-1-1-111-1-111
χ711111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111-11-1-1-11111-1-1-1-111
χ811111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ911111111111111-11-111111-1-1111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ1011111111111111-11-111111-1-111111111-1-1-1-1-1-11-1-1111111111-1-1-1-1-11-11-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-11111
χ1111111111111111-11-111111-1-11111-1-1-1-11111-1-11-1-1111111111-1-1-1-11-11-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1111111
χ1211111111111111-11-111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ1311111111111111-11-1-1-111111111111111111-1-11-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ1411111111111111-11-1-1-11111111111111-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-111111-11-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-111111-11-1-1-111-1-11111-1-1
χ1511111111111111-11-1-1-1111111111-1-1-1-11111-1-11-1-1-1-1-1-11-1-1-1-11111-11-1111-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111-11-1111-1-111-1-111-1-1
χ1611111111111111-11-1-1-1111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111
χ1711-1-1-111111-1-1-1-111-1i−i-1-11i−i-1-111ii−i−iii−i−i11-1-1-1ii−i−i1ii−i−iii−i−i11-1-1i−ii−i1-11-1ii−i−iii−i−i1-1i−i1-11-1ii−i−i11-1-1i−ii−i1-11-1-11i−i
χ1811-1-1-111111-1-1-1-111-1i−i-1-11i−i-1-111ii−i−i−i−iii11-1-1-1ii−i−i1ii−i−iii−i−i1-1-11i−i−ii1-1-11ii−i−i−i−iii1-1i−i-11-11−i−iii1-1-11i−i−ii1-1-111-1−ii
χ1911-1-1-111111-1-1-1-111-1i−i-1-11i−i-1-111−i−iiiii−i−i11-1-1-1ii−i−i1ii−i−iii−i−i-111-1−iii−i-111-1−i−iiiii−i−i1-1i−i-11-11−i−iii-111-1−iii−i-111-11-1−ii
χ2011-1-1-111111-1-1-1-111-1i−i-1-11i−i-1-111−i−iii−i−iii11-1-1-1ii−i−i1ii−i−iii−i−i-1-111−ii−ii-11-11−i−iii−i−iii1-1i−i1-11-1ii−i−i-1-111−ii−ii-11-11-11i−i
χ2111-1-1-111111-1-1-1-111-1−ii-1-11−ii-1-111ii−i−iii−i−i11-1-1-1−i−iii1−i−iii−i−iii-1-111i−ii−i-11-11ii−i−iii−i−i1-1−ii1-11-1−i−iii-1-111i−ii−i-11-11-11−ii
χ2211-1-1-111111-1-1-1-111-1−ii-1-11−ii-1-111ii−i−i−i−iii11-1-1-1−i−iii1−i−iii−i−iii-111-1i−i−ii-111-1ii−i−i−i−iii1-1−ii-11-11ii−i−i-111-1i−i−ii-111-11-1i−i
χ2311-1-1-111111-1-1-1-111-1−ii-1-11−ii-1-111−i−iiiii−i−i11-1-1-1−i−iii1−i−iii−i−iii1-1-11−iii−i1-1-11−i−iiiii−i−i1-1−ii-11-11ii−i−i1-1-11−iii−i1-1-111-1i−i
χ2411-1-1-111111-1-1-1-111-1−ii-1-11−ii-1-111−i−iii−i−iii11-1-1-1−i−iii1−i−iii−i−iii11-1-1−ii−ii1-11-1−i−iii−i−iii1-1−ii1-11-1−i−iii11-1-1−ii−ii1-11-1-11−ii
χ2511-1-1-111111-1-1-1-1-111i−i-1-11−ii-1-111ii−i−iii−i−i-1-1-111ii−i−i1ii−i−i−i−iii-1-111−ii−ii1-11-1ii−i−iii−i−i-11−ii1-11-1ii−i−i-1-111−ii−ii1-11-11-1−ii
χ2611-1-1-111111-1-1-1-1-111i−i-1-11−ii-1-111ii−i−i−i−iii-1-1-111ii−i−i1ii−i−i−i−iii-111-1−iii−i1-1-11ii−i−i−i−iii-11−ii-11-11−i−iii-111-1−iii−i1-1-11-11i−i
χ2711-1-1-111111-1-1-1-1-111i−i-1-11−ii-1-111−i−iiiii−i−i-1-1-111ii−i−i1ii−i−i−i−iii1-1-11i−i−ii-111-1−i−iiiii−i−i-11−ii-11-11−i−iii1-1-11i−i−ii-111-1-11i−i
χ2811-1-1-111111-1-1-1-1-111i−i-1-11−ii-1-111−i−iii−i−iii-1-1-111ii−i−i1ii−i−i−i−iii11-1-1i−ii−i-11-11−i−iii−i−iii-11−ii1-11-1ii−i−i11-1-1i−ii−i-11-111-1−ii
χ2911-1-1-111111-1-1-1-1-111−ii-1-11i−i-1-111ii−i−iii−i−i-1-1-111−i−iii1−i−iiiii−i−i11-1-1−ii−ii-11-11ii−i−iii−i−i-11i−i1-11-1−i−iii11-1-1−ii−ii-11-111-1i−i
χ3011-1-1-111111-1-1-1-1-111−ii-1-11i−i-1-111ii−i−i−i−iii-1-1-111−i−iii1−i−iiiii−i−i1-1-11−iii−i-111-1ii−i−i−i−iii-11i−i-11-11ii−i−i1-1-11−iii−i-111-1-11−ii
χ3111-1-1-111111-1-1-1-1-111−ii-1-11i−i-1-111−i−iiiii−i−i-1-1-111−i−iii1−i−iiiii−i−i-111-1i−i−ii1-1-11−i−iiiii−i−i-11i−i-11-11ii−i−i-111-1i−i−ii1-1-11-11−ii
χ3211-1-1-111111-1-1-1-1-111−ii-1-11i−i-1-111−i−iii−i−iii-1-1-111−i−iii1−i−iiiii−i−i-1-111i−ii−i1-11-1−i−iii−i−iii-11i−i1-11-1−i−iii-1-111i−ii−i1-11-11-1i−i
χ33222222-122-122-1-12-12222-1-122-1-12-1000022222-1-12-12-12-1-1-1-1-1-12-12-10202002200220000-1-1-1-1-1-1-1-1000000000-10-100-1-100-1-10000
χ34222222-122-122-1-12-12222-1-122-1-12-10000-2-2-2-22-1-12-12-12-1-1-1-1-1-12-12-10-20-200-2-200-2-200001111-1-1-1-1000000000101001100110000
χ35222222-122-122-1-12-12-2-22-1-1-2-2-1-12-1000022222-1-12-1-21-21-11111-21-210-20-2002200-2-20000-1-1-1-1-1-11100000000010100-1-100110000
χ36222222-122-122-1-12-12-2-22-1-1-2-2-1-12-10000-2-2-2-22-1-12-1-21-21-11111-21-21020200-2-2002200001111-1-111000000000-10-1001100-1-10000
χ37222222-122-122-1-1-2-1-2222-1-1-2-2-1-12-100002222-21-1-212-12-1-1-1-1-1-1-21-210-20-200-2-200220000-1-1-1-11111000000000101001100-1-10000
χ38222222-122-122-1-1-2-1-2222-1-1-2-2-1-12-10000-2-2-2-2-21-1-212-12-1-1-1-1-1-1-21-210202002200-2-2000011111111000000000-10-100-1-100110000
χ39222222-122-122-1-1-2-1-2-2-22-1-122-1-12-100002222-21-1-21-21-21-111112-12-1020200-2-200-2-20000-1-1-1-111-1-1000000000-10-1001100110000
χ40222222-122-122-1-1-2-1-2-2-22-1-122-1-12-10000-2-2-2-2-21-1-21-21-21-111112-12-10-20-2002200220000111111-1-100000000010100-1-100-1-10000
χ4122222-122-12-1-1222-1222-12-122-1-1-1222220000-12-1-12-12-12-1-1-1-1-1-12-12202022002200-1-1-1-10000-1-1-1-100000000-10-10-1-100-1-1000000
χ4222222-122-12-1-1222-1222-12-122-1-1-12-2-2-2-20000-12-1-12-12-12-1-1-1-1-1-12-12-20-20-2-200-2-20011110000-1-1-1-1000000001010110011000000
χ4322222-122-12-1-1222-12-2-2-12-1-2-2-1-1-1222220000-12-1-121-21-2-111111-21-2-20-202200-2-200-1-1-1-10000-1-111000000001010-1-10011000000
χ4422222-122-12-1-1222-12-2-2-12-1-2-2-1-1-12-2-2-2-20000-12-1-121-21-2-111111-21-22020-2-200220011110000-1-11100000000-10-101100-1-1000000
χ4522222-122-12-1-122-2-1-222-12-1-2-2-1-1-12222200001-2-11-2-12-12-1-1-1-1-11-21-2-20-20-2-2002200-1-1-1-1000011110000000010101100-1-1000000
χ4622222-122-12-1-122-2-1-222-12-1-2-2-1-1-12-2-2-2-200001-2-11-2-12-12-1-1-1-1-11-21-220202200-2-20011110000111100000000-10-10-1-10011000000
χ4722222-122-12-1-122-2-1-2-2-2-12-122-1-1-12222200001-2-11-21-21-2-11111-12-122020-2-200-2-200-1-1-1-1000011-1-100000000-10-10110011000000
χ4822222-122-12-1-122-2-1-2-2-2-12-122-1-1-12-2-2-2-200001-2-11-21-21-2-11111-12-12-20-20220022001111000011-1-1000000001010-1-100-1-1000000
χ492222-222-222222202000-2-220022-2-22-22-22-22-200-2000000-2000000000000000000002-22-22-22-200002-2-2200000000000000000000
χ502222-222-222222202000-2-220022-2-22-22-2-22-2200-2000000-2000000000000000000002-22-2-22-220000-222-200000000000000000000
χ512222-222-222222202000-2-220022-2-2-22-222-22-200-2000000-200000000000000000000-22-222-22-20000-222-200000000000000000000
χ522222-222-222222202000-2-220022-2-2-22-22-22-2200-2000000-200000000000000000000-22-22-22-2200002-2-2200000000000000000000
χ5322-2-2222-222-2-2-2-20200022200-2-2-2-22i−2i−2i2i2i−2i−2i2i002000000-2000000000000000000002i−2i−2i2i2i−2i−2i2i000022-2-200000000000000000000
χ5422-2-2222-222-2-2-2-20200022200-2-2-2-22i−2i−2i2i−2i2i2i−2i002000000-2000000000000000000002i−2i−2i2i−2i2i2i−2i0000-2-22200000000000000000000
χ5522-2-2222-222-2-2-2-20200022200-2-2-2-2−2i2i2i−2i2i−2i−2i2i002000000-200000000000000000000−2i2i2i−2i2i−2i−2i2i0000-2-22200000000000000000000
χ5622-2-2222-222-2-2-2-20200022200-2-2-2-2−2i2i2i−2i−2i2i2i−2i002000000-200000000000000000000−2i2i2i−2i−2i2i2i−2i000022-2-200000000000000000000
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χ5922-2-2-22-122-1-2-2112-1-2−2i2i-21-1−2i2i112-100002i2i−2i−2i2-11-21−2ii2i−i-1ii−i−i−2ii2i−i0-202002i−2i00-220000−i−iii-11i−i00000000010-100−ii001-10000
χ6022-2-2-22-122-1-2-2112-1-2−2i2i-21-1−2i2i112-10000−2i−2i2i2i2-11-21−2ii2i−i-1ii−i−i−2ii2i−i020-200−2i2i002-20000ii−i−i-11i−i000000000-10100i−i00-110000
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χ6322-2-2-22-122-1-2-211-2-12−2i2i-21-12i−2i112-100002i2i−2i−2i-2112-1−2ii2i−i-1ii−i−i2i−i−2ii020-200−2i2i00-220000−i−iii1-1−ii000000000-10100i−i001-10000
χ6422-2-2-22-122-1-2-211-2-12−2i2i-21-12i−2i112-10000−2i−2i2i2i-2112-1−2ii2i−i-1ii−i−i2i−i−2ii0-202002i−2i002-20000ii−i−i1-1−ii00000000010-100−ii00-110000
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χ6722-2-2-2-122-1211-2-22-1-2−2i2i1-2-1−2i2i11-122i2i−2i−2i0000-1211-2i−2i−i2i-1ii−i−ii−2i−i2i-20202i−2i00-2200−i−iii0000-11i−i0000000010-10−ii001-1000000
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χ6922-2-2-2-122-1211-2-2-2-122i−2i1-2-1−2i2i11-122i2i−2i−2i00001-21-12−i2ii−2i-1−i−iiii−2i−i2i-2020−2i2i002-200−i−iii00001-1i−i0000000010-10i−i00-11000000
χ7022-2-2-2-122-1211-2-2-2-122i−2i1-2-1−2i2i11-12−2i−2i2i2i00001-21-12−i2ii−2i-1−i−iiii−2i−i2i20-202i−2i00-2200ii−i−i00001-1i−i00000000-1010−ii001-1000000
χ7122-2-2-2-122-1211-2-2-2-12−2i2i1-2-12i−2i11-122i2i−2i−2i00001-21-12i−2i−i2i-1ii−i−i−i2ii−2i20-20−2i2i00-2200−i−iii00001-1−ii00000000-1010i−i001-1000000
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χ7644444-2-24-2-2-2-2-2-2-41-4-4-4-2-214411-2-2000000002212222221-1-1-1-1-2-2-2-200000000000000000000-1-111000000000000000000000000
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χ8444-4-44-24-4-2422-4-40-2000-24-200222-4−4i4i4i−4i000000-20000002000000000000000000002i−2i−2i2i00000000000000000000000000000000
χ8544-4-4-4-2-24-2-2222241-44i−4i2214i−4i-1-1-2-200000000-2-2-122−2i−2i2i2i1ii−i−i−2i−2i2i2i000000000000000000001-1i−i000000000000000000000000
χ8644-4-4-4-2-24-2-2222241-4−4i4i221−4i4i-1-1-2-200000000-2-2-1222i2i−2i−2i1−i−iii2i2i−2i−2i000000000000000000001-1−ii000000000000000000000000
χ8744-4-4-4-2-24-2-22222-4144i−4i221−4i4i-1-1-2-20000000022-1-2-2−2i−2i2i2i1ii−i−i2i2i−2i−2i00000000000000000000-11−ii000000000000000000000000
χ8844-4-4-4-2-24-2-22222-414−4i4i2214i−4i-1-1-2-20000000022-1-2-22i2i−2i−2i1−i−iii−2i−2i2i2i00000000000000000000-11i−i000000000000000000000000
χ894-44i−4i0440-4-44i−4i4i−4i0400000-4004i−4i000000000000000000000000000000000000000000000000000000002−2i−2+2i2+2i−2−2i0000000000000000
χ904-44i−4i0440-4-44i−4i4i−4i0400000-4004i−4i00000000000000000000000000000000000000000000000000000000−2+2i2−2i−2−2i2+2i0000000000000000
χ914-4−4i4i0440-4-4−4i4i−4i4i0400000-400−4i4i000000000000000000000000000000000000000000000000000000002+2i−2−2i2−2i−2+2i0000000000000000
χ924-4−4i4i0440-4-4−4i4i−4i4i0400000-400−4i4i00000000000000000000000000000000000000000000000000000000−2−2i2+2i−2+2i2−2i0000000000000000
χ938888-8-4-4-8-4-4-4-4-4-4020004420022440000000000-2000000-200000000000000000000000000000000000000000000000000000000
χ9488-8-88-4-4-8-4-4444402000-4-4200-2-24400000000002000000-200000000000000000000000000000000000000000000000000000000
χ958-88i−8i08-40-848i−8i−4i4i0-400000400−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88i−8i0-4804-8−4i4i8i−8i0-400000400−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88i−8i0-4-4044−4i4i−4i4i0200000-2002i−2i000000000000000000003+3i−3−3i3−3i−3+3i0000000000000000000000000000000000000000000000000000
χ988-88i−8i0-4-4044−4i4i−4i4i0200000-2002i−2i00000000000000000000−3−3i3+3i−3+3i3−3i0000000000000000000000000000000000000000000000000000
χ998-8−8i8i08-40-84−8i8i4i−4i0-4000004004i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0-4804-84i−4i−8i8i0-4000004004i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i0-4-40444i−4i4i−4i0200000-200−2i2i000000000000000000003−3i−3+3i3+3i−3−3i0000000000000000000000000000000000000000000000000000
χ1028-8−8i8i0-4-40444i−4i4i−4i0200000-200−2i2i00000000000000000000−3+3i3−3i−3−3i3+3i0000000000000000000000000000000000000000000000000000

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