Finite Group Databasebeta

← Group #72339697

Character table — Group #72339697

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11112222224444444444444444888888888888888888888888888888161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464
order12442224442222444444444444222222222222244444444444444444222244444444444444448888888844444444888888888888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ811111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1111111111111-1-1-1-1
χ91111111111-1-111-1-111-1-1-1-1111111-11111-1-1-1-11111-11111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1
χ101111111111-1-111-1-111-1-1-1-1111111-11111-1-1-1-11111-11111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1111111-1-1-1-111
χ111111111111-1-111-1-111-1-1-1-1111111-11111-1-1-1-11111-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111
χ121111111111-1-111-1-111-1-1-1-1111111-11111-1-1-1-11111-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-1-1-11111-1-11111-1-1
χ131111111111-1-111-1-111-1-1-1-1111111-1-1-1-1-111111111-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111
χ141111111111-1-111-1-111-1-1-1-1111111-1-1-1-1-111111111-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-11111-1-1
χ151111111111-1-111-1-111-1-1-1-1111111-1-1-1-1-111111111-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1
χ161111111111-1-111-1-111-1-1-1-1111111-1-1-1-1-111111111-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-111
χ1711-1-1111-1-1-111-1-1-1-11111-1-111-1-111-11111111111-1-11-1-1-1-1-1-1-1-11-11-1-1-1111-1-1-11-111-1-111-1-1ii−i−iii−i−iii−i−i1-1i−ii−ii−ii−ii−i1-11-1ii−i−iii−i−i1-11-1i−ii−i
χ1811-1-1111-1-1-111-1-1-1-11111-1-111-1-111-11111111111-1-11-1-1-1-1-1-1-1-11-11-1-1-1111-1-1-11-111-1-111-1-1−i−iii−i−iii−i−iii1-1−ii−ii−ii−ii−ii1-11-1−i−iii−i−iii1-11-1−ii−ii
χ1911-1-1111-1-1-111-1-1-1-11111-1-111-1-111-11111111111-1-11-1-1-1-1-1-1-1-11-11-1-1-111-11-1-1-1111-1-111-1-1ii−i−iii−i−i−i−iii-11−iii−i−iii−i−ii-11-11ii−i−iii−i−i-11-11−ii−ii
χ2011-1-1111-1-1-111-1-1-1-11111-1-111-1-111-11111111111-1-11-1-1-1-1-1-1-1-11-11-1-1-111-11-1-1-1111-1-111-1-1−i−iii−i−iiiii−i−i-11i−i−iii−i−iii−i-11-11−i−iii−i−iii-11-11i−ii−i
χ2111-1-1111-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-111-1-11111111111-11-1-1-1111-1-1-11-1-1-111-1-111ii−i−iii−i−iii−i−i1-1i−ii−ii−ii−ii−i1-11-1−i−iii−i−iii-11-11−ii−ii
χ2211-1-1111-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-111-1-11111111111-11-1-1-1111-1-1-11-1-1-111-1-111−i−iii−i−iii−i−iii1-1−ii−ii−ii−ii−ii1-11-1ii−i−iii−i−i-11-11i−ii−i
χ2311-1-1111-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-111-1-11111111111-11-1-1-111-11-1-1-11-1-111-1-111ii−i−iii−i−i−i−iii-11−iii−i−iii−i−ii-11-11−i−iii−i−iii1-11-1i−ii−i
χ2411-1-1111-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-111-1-11111111111-11-1-1-111-11-1-1-11-1-111-1-111−i−iii−i−iiiii−i−i-11i−i−iii−i−iii−i-11-11ii−i−iii−i−i1-11-1−ii−ii
χ2511-1-1111-1-1-1-1-1-1-11111-1-11111-1-11111111-1-1-1-111-1-1-1-1-1-1-111111-1-11-1-1-1-11-1111-111-1-1-1-111ii−i−iii−i−iii−i−i-11−ii−iii−i−ii−ii1-1-11ii−i−i−i−iii1-1-11i−i−ii
χ2611-1-1111-1-1-1-1-1-1-11111-1-11111-1-11111111-1-1-1-111-1-1-1-1-1-1-111111-1-11-1-1-1-11-1111-111-1-1-1-111−i−iii−i−iii−i−iii-11i−ii−i−iii−ii−i1-1-11−i−iiiii−i−i1-1-11−iii−i
χ2711-1-1111-1-1-1-1-1-1-11111-1-11111-1-11111111-1-1-1-111-1-1-1-1-1-1-111111-1-11-1-1-1-1-1111-1111-1-1-1-111ii−i−iii−i−i−i−iii1-1i−i−ii−ii−iii−i-111-1ii−i−i−i−iii-111-1−iii−i
χ2811-1-1111-1-1-1-1-1-1-11111-1-11111-1-11111111-1-1-1-111-1-1-1-1-1-1-111111-1-11-1-1-1-1-1111-1111-1-1-1-111−i−iii−i−iiiii−i−i1-1−iii−ii−ii−i−ii-111-1−i−iiiii−i−i-111-1i−i−ii
χ2911-1-1111-1-1-1-1-1-1-11111-1-11111-1-1111-1-1-1-1111111-1-1-11111-1-1-1-11-1-11-1-1-1-11-1111-1-1-11111-1-1ii−i−iii−i−iii−i−i-11−ii−iii−i−ii−ii1-1-11−i−iiiii−i−i-111-1−iii−i
χ3011-1-1111-1-1-1-1-1-1-11111-1-11111-1-1111-1-1-1-1111111-1-1-11111-1-1-1-11-1-11-1-1-1-11-1111-1-1-11111-1-1−i−iii−i−iii−i−iii-11i−ii−i−iii−ii−i1-1-11ii−i−i−i−iii-111-1i−i−ii
χ3111-1-1111-1-1-1-1-1-1-11111-1-11111-1-1111-1-1-1-1111111-1-1-11111-1-1-1-11-1-11-1-1-1-1-1111-11-1-11111-1-1ii−i−iii−i−i−i−iii1-1i−i−ii−ii−iii−i-111-1−i−iiiii−i−i1-1-11i−i−ii
χ3211-1-1111-1-1-1-1-1-1-11111-1-11111-1-1111-1-1-1-1111111-1-1-11111-1-1-1-11-1-11-1-1-1-1-1111-11-1-11111-1-1−i−iii−i−iiiii−i−i1-1−iii−ii−ii−i−ii-111-1ii−i−i−i−iii1-1-11−iii−i
χ3322222222222222222222222222-2-2200000000-2-2-2-22000000002222-2-2-2-200-2-200000000002222-2-2-2-2000000002200-2-20000000000000000000000
χ3422222222222222222222222222-2-2200000000-2-2-2-22000000002222-2-2-2-200-2-20000000000-2-2-2-2222200000000-2-200220000000000000000000000
χ352222222222222222-2-2-2-2-2-222-2-222200000000-2-2-2-2200000000-2-2-2-2222-2002-2000000000000000000222200-2-200-2-2002200000000000000000000
χ362222222222222222-2-2-2-2-2-222-2-222200000000-2-2-2-2200000000-2-2-2-2222-2002-2000000000000000000-2-2-2-20022002200-2-200000000000000000000
χ372222222222222222-2-2-2-2-2-222-2-2-2-22000000002222200000000-2-2-2-2-2-2-2222-222200000000000000000000220000000000-2-2-2-20000000000000000
χ382222222222222222-2-2-2-2-2-222-2-2-2-22000000002222200000000-2-2-2-2-2-2-22-2-2-22-2-200000000000000000000-2-2000000000022220000000000000000
χ392222222222-2-222-2-222-2-2-2-22222-2-2-200000000-2-2-2-2-20000000022-2-2-2-222002200000000002222-2-2-2-200000000-2-200220000000000000000000000
χ402222222222-2-222-2-222-2-2-2-22222-2-2-200000000-2-2-2-2-20000000022-2-2-2-22200220000000000-2-2-2-22222000000002200-2-20000000000000000000000
χ412222222222-2-222-2-2-2-2222222-2-222-200000000-2-2-2-2-200000000-2-22222-2200-220000000000000000002222002200-2-200-2-200000000000000000000
χ422222222222-2-222-2-2-2-2222222-2-222-200000000-2-2-2-2-200000000-2-22222-2200-22000000000000000000-2-2-2-200-2-20022002200000000000000000000
χ432222222222-2-222-2-2-2-2222222-2-2-2-2-2000000002222-200000000-2-222-2-22-2222-22200000000000000000000-2-20000000000-2-2220000000000000000
χ442222222222-2-222-2-2-2-2222222-2-2-2-2-2000000002222-200000000-2-222-2-22-2-2-22-2-2-20000000000000000000022000000000022-2-20000000000000000
χ452222-2-22-22-200-22002200002-2222-20000022-2-22-22-20000022-2-2-2-2002-20000000000002-22-22-22-22-22-20000000000000000000000002-22-200000000
χ462222-2-22-22-200-22002200002-2222-20000022-2-22-22-20000022-2-2-2-2002-20000000000002-22-2-22-22-22-22000000000000000000000000-22-2200000000
χ472222-2-22-22-200-22002200002-2222-200000-2-2222-22-200000-2-222-2-2002-2000000000000-22-222-22-22-22-2000000000000000000000000-22-2200000000
χ482222-2-22-22-200-22002200002-2222-200000-2-2222-22-200000-2-222-2-2002-2000000000000-22-22-22-22-22-220000000000000000000000002-22-200000000
χ492222-2-22-22-200-22002200002-222-22022-2-20000-22-22022-2-20000-2-200-22000000002-22-200002-22-2-22-22000000000000000000002-22-2000000000000
χ502222-2-22-22-200-22002200002-222-22022-2-20000-22-22022-2-20000-2-200-22000000002-22-20000-22-222-22-200000000000000000000-22-22000000000000
χ512222-2-22-22-200-22002200002-222-220-2-2220000-22-220-2-2220000-2-200-2200000000-22-2200002-22-2-22-2200000000000000000000-22-22000000000000
χ522222-2-22-22-200-22002200002-222-220-2-2220000-22-220-2-2220000-2-200-2200000000-22-220000-22-222-22-2000000000000000000002-22-2000000000000
χ5322-2-2222-2-2-222-2-2-2-22222-2-222-2-2-2-2-200000000-2-2222000000002-22-222-2-2002200000000002i2i−2i−2i−2i−2i2i2i000000002i−2i00−2i2i0000000000000000000000
χ5422-2-2222-2-2-222-2-2-2-22222-2-222-2-2-2-2-200000000-2-2222000000002-22-222-2-200220000000000−2i−2i2i2i2i2i−2i−2i00000000−2i2i002i−2i0000000000000000000000
χ5522-2-2222-2-2-222-2-2-2-2-2-2-2-222222222-200000000-2-222200000000-22-22-2-22-200-220000000000000000002i2i−2i−2i00−2i2i00−2i2i002i−2i00000000000000000000
χ5622-2-2222-2-2-222-2-2-2-2-2-2-2-222222222-200000000-2-222200000000-22-22-2-22-200-22000000000000000000−2i−2i2i2i002i−2i002i−2i00−2i2i00000000000000000000
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χ9388888-8-8-8-8800000000000000000000000000000000000000000000000000000000000000000000004-44-400000000000000000000000000000000
χ9488888-8-8-8-880000000000000000000000000000000000000000000000000000000000000000000000-44-4400000000000000000000000000000000
χ958888-88-88-8-80000000000000000000000000000000000000000000000004-400-440000000000000000000000000000000000000000000000000000
χ968888-88-88-8-8000000000000000000000000000000000000000000000000-44004-40000000000000000000000000000000000000000000000000000
χ9788-8-88-8-888-800000000000000000000000000000000000000000000000000000000000000000000004i−4i−4i4i00000000000000000000000000000000
χ9888-8-88-8-888-80000000000000000000000000000000000000000000000000000000000000000000000−4i4i4i−4i00000000000000000000000000000000
χ9988-8-8-88-8-8880000000000000000000000000000000000000000000000004400-4-40000000000000000000000000000000000000000000000000000
χ10088-8-8-88-8-888000000000000000000000000000000000000000000000000-4-400440000000000000000000000000000000000000000000000000000
χ1018-88i−8i0000004-4004i−4i4-44-44i−4i004i−4i000004-4004-400000004i−4i004i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1028-88i−8i0000004-4004i−4i4-44-44i−4i004i−4i00000-4400-440000000−4i4i00−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ1038-88i−8i0000004-4004i−4i-44-44−4i4i00−4i4i0004-4004-400000004i−4i004i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ1048-88i−8i0000004-4004i−4i-44-44−4i4i00−4i4i000-4400-440000000−4i4i00−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ1058-88i−8i000000-4400−4i4i4-4-44−4i4i004i−4i000004-400-4400000004i−4i00−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ1068-88i−8i000000-4400−4i4i4-4-44−4i4i004i−4i00000-44004-40000000−4i4i004i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1078-88i−8i000000-4400−4i4i-444-44i−4i00−4i4i0004-400-4400000004i−4i00−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ1088-88i−8i000000-4400−4i4i-444-44i−4i00−4i4i000-44004-40000000−4i4i004i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ1098-8−8i8i0000004-400−4i4i4-44-4−4i4i00−4i4i000004-4004-40000000−4i4i00−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ1108-8−8i8i0000004-400−4i4i4-44-4−4i4i00−4i4i00000-4400-4400000004i−4i004i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1118-8−8i8i0000004-400−4i4i-44-444i−4i004i−4i0004-4004-40000000−4i4i00−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ1128-8−8i8i0000004-400−4i4i-44-444i−4i004i−4i000-4400-4400000004i−4i004i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ1138-8−8i8i000000-44004i−4i4-4-444i−4i00−4i4i000004-400-440000000−4i4i004i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1148-8−8i8i000000-44004i−4i4-4-444i−4i00−4i4i00000-44004-400000004i−4i00−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ1158-8−8i8i000000-44004i−4i-444-4−4i4i004i−4i0004-400-440000000−4i4i004i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ1168-8−8i8i000000-44004i−4i-444-4−4i4i004i−4i000-44004-400000004i−4i00−4i4i00000000000000000000000000000000000000000000000000000000000000000000

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