Finite Group Databasebeta

← Group #72269856

Character table — Group #72269856

Order 2560.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size1122222224444444444558888888888888101010101010101616161616161616161616161616161616162020202020202020202020202020323232323232404040404040404040404040404040404040404040404040404040808080808080
order12222222222224451010102222244441010101010102222222441010101010101010101020202020202022224444444444202020202020222444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111111111-1-1111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1111111111111111-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-11111111111111-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1ii−i−i
χ61111111111111111111-1-11111111111111-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-1−i−iii
χ71111111111111111111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-1-1-1-11111-1-1ii−i−i−i−i−i−iiiiiiiii−i−i−i−i11−i−iii
χ81111111111111111111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-1-1-1-11111-1-1−i−iiiiiii−i−i−i−i−i−i−i−iiiii11ii−i−i
χ911111111111-1-111111111-11111-1-11111111111111-1-111-1-1-1-1111111111111-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1
χ1011111111111-1-111111111-11111-1-11111111111111-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ1111111111111-1-111111111-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111
χ1211111111111-1-111111111-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1
χ1311111111111-1-1111111-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1iiii−i−i−i−i-1-1-1-1-1-11-1-1-1-111−i−iiiiiii−i−i−i−iii−i−i−i−iii11−i−iii
χ1411111111111-1-1111111-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1−i−i−i−iiiii-1-1-1-1-1-11-1-1-1-111ii−i−i−i−i−i−iiiii−i−iiiii−i−i11ii−i−i
χ1511111111111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1iiii−i−i−i−i-1-111111111111−i−iii−i−i−i−iiiiiii−i−i−i−iii-1-1ii−i−i
χ1611111111111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1−i−i−i−iiiii-1-111111111111ii−i−iiiii−i−i−i−i−i−iiiii−i−i-1-1−i−iii
χ17111111111-1-111-1-111111111-11-1-1-111111111111111-1-1-1111111-1-1-1-111-1-1-1-111-1-111111111-1-111-1-111-11-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111-11-11-1
χ18111111111-1-111-1-111111111-11-1-1-111111111111111-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-1-1-11111-1-111-1-11111-1-111-1-11-1-11-11
χ19111111111-1-111-1-11111111-11-11-1-11111111111111-11-1-11111-1-111-1-1-1-111-1-111-1-111111111-1-1-1-1111-11-11-1-1-1-1-1-1-1-111-1-111-1-111-1-111-11-11-11
χ20111111111-1-111-1-11111111-11-11-1-11111111111111-11-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11-1-1111111-1-111-1-111-1-111-1-1-111-11-1
χ21111111111-1-111-1-11111-1-111-11-1-1-1111111-1-1-1-1-1-1-11-1-1-1111111-1-1-1-111-1-111-1-111iiii−i−i−i−i-1-111-1-1-1-11-1111−i−iiiii−i−i−i−iii−i−iiiii−i−i-11i−i−ii
χ22111111111-1-111-1-11111-1-111-11-1-1-1111111-1-1-1-1-1-1-11-1-1-1111111-1-1-1-111-1-111-1-111−i−i−i−iiiii-1-111-1-1-1-11-1111ii−i−i−i−iiiii−i−iii−i−i−i−iii-11−iii−i
χ23111111111-1-111-1-11111-1-11-11-11-1-1111111-1-1-1-1-1-1-1-11-1-11111-1-111-1-1-1-11111-1-111iiii−i−i−i−i-1-1-1-111-11-11-111−i−iii−i−iiiii−i−i−i−iiiii−i−i1-1−iii−i
χ24111111111-1-111-1-11111-1-11-11-11-1-1111111-1-1-1-1-1-1-1-11-1-11111-1-111-1-1-1-11111-1-111−i−i−i−iiiii-1-1-1-111-11-11-111ii−i−iii−i−i−i−iiiii−i−i−i−iii1-1i−i−ii
χ25111111111-1-1-1-1-1-1111111-11-11-1111111111111111-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-11-11-111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-11
χ26111111111-1-1-1-1-1-1111111-11-11-1111111111111111-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11-111-1-1-1-1-1-111-1-11111111111-111-11-1
χ27111111111-1-1-1-1-1-1111111-1-11-111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-11-11111111-1-111-1-111-1-1-1-1-1-1-1-11-11-11-1
χ28111111111-1-1-1-1-1-1111111-1-11-111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1111-1-1-1-111-1-111-1-1111111111-1-11-11
χ29111111111-1-1-1-1-1-11111-1-1-11-11-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1111111iiii−i−i−i−i11-1-1111-11-11-1-1ii−i−iii−i−i−i−iii−i−i−i−iiiii1-1−iii−i
χ30111111111-1-1-1-1-1-11111-1-1-11-11-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1111111−i−i−i−iiiii11-1-1111-11-11-1-1−i−iii−i−iiiii−i−iiiii−i−i−i−i1-1i−i−ii
χ31111111111-1-1-1-1-1-11111-1-1-1-11-1111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111111111iiii−i−i−i−i1111-1-111-11-1-1-1ii−i−i−i−iiiii−i−i−i−i−i−iiiii-11i−i−ii
χ32111111111-1-1-1-1-1-11111-1-1-1-11-1111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111111111−i−i−i−iiiii1111-1-111-11-1-1-1−i−iiiii−i−i−i−iiiiiii−i−i−i−i-11−iii−i
χ332222-2-22-2-20000002222220020-2002-2-22-2-222-22-2-2-20000000000220000-2-20000002i2i−2i−2i2i2i−2i−2i0000000020-2000000002i−2i002i−2i00000000000000
χ342222-2-22-2-20000002222220020-2002-2-22-2-222-22-2-2-20000000000220000-2-2000000−2i−2i2i2i−2i−2i2i2i0000000020-200000000−2i2i00−2i2i00000000000000
χ352222-2-22-2-200000022222200-202002-2-22-2-222-22-2-2-20000000000-2-20000220000002i2i−2i−2i2i2i−2i−2i00000000-20200000000−2i2i00−2i2i00000000000000
χ362222-2-22-2-200000022222200-202002-2-22-2-222-22-2-2-20000000000-2-2000022000000−2i−2i2i2i−2i−2i2i2i00000000-202000000002i−2i002i−2i00000000000000
χ372222-2-22-2-20000002222-2-20020-2002-2-22-2-2-2-22-22220000000000220000-2-200000022-2-2-2-22200000000-202000000002-200-2200000000000000
χ382222-2-22-2-20000002222-2-20020-2002-2-22-2-2-2-22-22220000000000220000-2-2000000-2-22222-2-200000000-20200000000-22002-200000000000000
χ392222-2-22-2-20000002222-2-200-202002-2-22-2-2-2-22-22220000000000-2-200002200000022-2-2-2-2220000000020-200000000-22002-200000000000000
χ402222-2-22-2-20000002222-2-200-202002-2-22-2-2-2-22-22220000000000-2-2000022000000-2-22222-2-20000000020-2000000002-200-2200000000000000
χ41222-22-2-22-2000000222222020-2000-22-2-22-22-22-22-2-200000000220000-2-2000000002i−2i2i−2i2i−2i2i−2i000000020-200000002i−2i002i−2i0000000000000000
χ42222-22-2-22-2000000222222020-2000-22-2-22-22-22-22-2-200000000220000-2-200000000−2i2i−2i2i−2i2i−2i2i000000020-20000000−2i2i00−2i2i0000000000000000
χ43222-22-2-22-20000002222220-202000-22-2-22-22-22-22-2-200000000-2-2000022000000002i−2i2i−2i2i−2i2i−2i0000000-2020000000−2i2i00−2i2i0000000000000000
χ44222-22-2-22-20000002222220-202000-22-2-22-22-22-22-2-200000000-2-200002200000000−2i2i−2i2i−2i2i−2i2i0000000-20200000002i−2i002i−2i0000000000000000
χ45222-22-2-22-20000002222-2-2020-2000-22-2-22-2-22-22-22200000000220000-2-2000000002-22-2-22-220000000-20200000002-200-220000000000000000
χ46222-22-2-22-20000002222-2-2020-2000-22-2-22-2-22-22-22200000000220000-2-200000000-22-222-22-20000000-2020000000-22002-20000000000000000
χ47222-22-2-22-20000002222-2-20-202000-22-2-22-2-22-22-22200000000-2-2000022000000002-22-2-22-22000000020-20000000-22002-20000000000000000
χ48222-22-2-22-20000002222-2-20-202000-22-2-22-2-22-22-22200000000-2-200002200000000-22-222-22-2000000020-200000002-200-220000000000000000
χ49222-2-22-2-222200-2-22222220000000-2-22-2-222-2-2-2-222002200000000-2-200002200-2-22-2-222-2-2200000000000000000000000002-2002-200000000
χ50222-2-22-2-222200-2-22222220000000-2-22-2-222-2-2-2-222002200000000-2-200002200-2-2-222-2-222-20000000000000000000000000-2200-2200000000
χ51222-2-22-2-222200-2-22222-2-20000000-2-22-2-22-22222-2-2002200000000-2-20000-2-200222i−2i−2i2i−2i2i2i−2i00000000000000000000000002i−2i00−2i2i00000000
χ52222-2-22-2-222200-2-22222-2-20000000-2-22-2-22-22222-2-2002200000000-2-20000-2-20022−2i2i2i−2i2i−2i−2i2i0000000000000000000000000−2i2i002i−2i00000000
χ53222-2-22-2-22-2-200222222220000000-2-22-2-222-2-2-2-22200-2-200000000220000-2-200222-2-222-2-220000000000000000000000000-2200-2200000000
χ54222-2-22-2-22-2-200222222220000000-2-22-2-222-2-2-2-22200-2-200000000220000-2-20022-222-2-222-200000000000000000000000002-2002-200000000
χ55222-2-22-2-22-2-200222222-2-20000000-2-22-2-22-22222-2-200-2-2000000002200002200-2-22i−2i−2i2i−2i2i2i−2i0000000000000000000000000−2i2i002i−2i00000000
χ56222-2-22-2-22-2-200222222-2-20000000-2-22-2-22-22222-2-200-2-2000000002200002200-2-2−2i2i2i−2i2i−2i−2i2i00000000000000000000000002i−2i00−2i2i00000000
χ5722-222-2-2-222-2002-22-2-2222000000022-2-2-22-2-2-222-22002-2000000002-200002-2002-20000000000000000000002-22-200000000002-2002-2000000
χ5822-222-2-2-222-2002-22-2-2222000000022-2-2-22-2-2-222-22002-2000000002-200002-2002-2000000000000000000000-22-220000000000-2200-22000000
χ5922-222-2-2-222-2002-22-2-22-2-2000000022-2-2-22222-2-22-2002-2000000002-20000-2200-220000000000000000000002i−2i−2i2i00000000002i−2i00−2i2i000000
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χ6122-222-2-2-22-2200-222-2-2222000000022-2-2-22-2-2-222-2200-2200000000-220000-2200-220000000000000000000002-22-20000000000-2200-22000000
χ6222-222-2-2-22-2200-222-2-2222000000022-2-2-22-2-2-222-2200-2200000000-220000-2200-22000000000000000000000-22-2200000000002-2002-2000000
χ6322-222-2-2-22-2200-222-2-22-2-2000000022-2-2-22222-2-22-200-2200000000-2200002-2002-20000000000000000000002i−2i−2i2i0000000000−2i2i002i−2i000000
χ6422-222-2-2-22-2200-222-2-22-2-2000000022-2-2-22222-2-22-200-2200000000-2200002-2002-2000000000000000000000−2i2i2i−2i00000000002i−2i00−2i2i000000
χ6522-2-2-2-22222-222-222-2-2222-200002-2-2-2-2222-222-2-2-22002-222-2-20000-2200002-222-22000000002-20000-200002-200000000000000000000000000
χ6622-2-2-2-22222-222-222-2-22-2-2-200002-2-2-2-22222-2-2222-2002-222-2-20000-220000-22-2-22-2000000002-2000020000-2200000000000000000000000000
χ6722-2-2-2-22222-2-2-2-222-2-222220000-22-2-2-2222-222-2-2-22002-2-2-2220000-2200002-2-2-2-2200000000-22000020000-2200000000000000000000000000
χ6822-2-2-2-22222-2-2-2-222-2-22-2-220000-22-2-2-22222-2-2222-2002-2-2-2220000-220000-22222-200000000-220000-200002-200000000000000000000000000
χ6922-2-2-2-2222-22222-22-2-2222-20000-22-2-2-2222-222-2-2-2200-2222-2-200002-20000-22222-200000000-220000-20000-2200000000000000000000000000
χ7022-2-2-2-2222-22222-22-2-22-2-2-20000-22-2-2-22222-2-2222-200-2222-2-200002-200002-2-2-2-2200000000-220000200002-200000000000000000000000000
χ7122-2-2-2-2222-22-2-22-22-2-2222200002-2-2-2-2222-222-2-2-2200-22-2-22200002-20000-22-2-22-2000000002-20000200002-200000000000000000000000000
χ7222-2-2-2-2222-22-2-22-22-2-22-2-2200002-2-2-2-22222-2-2222-200-22-2-22200002-200002-222-22000000002-20000-20000-2200000000000000000000000000
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χ77444444444-4-444-4-4-1-1-1-10044-44-4-4-4-1-1-1-1-1-100000004-411-1-1-1-1-1-11111-1-1110000000000000011-1-111000000000000000000000000000000000
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χ79444444444-4-4-4-4-4-4-1-1-1-100-44-44-444-1-1-1-1-1-10000000-44111111-1-11111-1-11100000000000000-1-111-1-1000000000000000000000000000000000
χ80444444444-4-4-4-4-4-4-1-1-1-100-4-44-4444-1-1-1-1-1-100000004-411111111-1-11111-1-100000000000000-1-1-1-111000000000000000000000000000000000
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χ9244-4-4-4-4444-44-4-44-4-111-100400004-4111-1-1-10000000001-111-1-1−555−5-11−555−500000000000000-115−5−55000000000000000000000000000000000
χ938888-8-88-8-8000000-2-2-2-2000080-800-222-22200000000000000000-2-200002200000000000000000000000000000000000000000000000000000
χ948888-8-88-8-8000000-2-2-2-20000-80800-222-22200000000000000000220000-2-200000000000000000000000000000000000000000000000000000
χ95888-88-8-88-8000000-2-2-2-200080-80002-222-22000000000000000-2-20000220000000000000000000000000000000000000000000000000000000
χ96888-88-8-88-8000000-2-2-2-2000-8080002-222-22000000000000000220000-2-20000000000000000000000000000000000000000000000000000000
χ97888-8-88-8-888800-8-8-2-2-2-200000000022-222-2000000000-2-20000000022000000000000000000000000000000000000000000000000000000000
χ98888-8-88-8-88-8-80088-2-2-2-200000000022-222-20000000002200000000-2-2000000000000000000000000000000000000000000000000000000000
χ9988-888-8-8-888-8008-8-222-2000000000-2-2222-2000000000-2200000000-22000000000000000000000000000000000000000000000000000000000
χ10088-888-8-8-88-8800-88-222-2000000000-2-2222-20000000002-2000000002-2000000000000000000000000000000000000000000000000000000000
χ10188-88-88-88-8000000-222-2000000000-22-22-2200000000000000025−250000−25250000000000000000000000000000000000000000000000000000000
χ10288-88-88-88-8000000-222-2000000000-22-22-22000000000000000−2525000025−250000000000000000000000000000000000000000000000000000000
χ10388-8-8888-8-8000000-222-20000000002-2-2-2220000000000000000025−250000−252500000000000000000000000000000000000000000000000000000
χ10488-8-8888-8-8000000-222-20000000002-2-2-22200000000000000000−2525000025−2500000000000000000000000000000000000000000000000000000
χ1058-80000000004-400800-88-80000000000000000000000004-4000000000000004-40000000000000000000000000000000000000000000000000
χ1068-80000000004-400800-8-880000000000000000000000004-400000000000000-440000000000000000000000000000000000000000000000000
χ1078-8000000000-4400800-88-8000000000000000000000000-4400000000000000-440000000000000000000000000000000000000000000000000
χ1088-8000000000-4400800-8-88000000000000000000000000-44000000000000004-40000000000000000000000000000000000000000000000000
χ10916-160000000008-800-445−45400000000000000000000000000-2225−25000000000000000000000000000000000000000000000000000000000000000
χ11016-160000000008-800-4−4545400000000000000000000000000-22−2525000000000000000000000000000000000000000000000000000000000000000
χ11116-16000000000-8800-445−454000000000000000000000000002-2−2525000000000000000000000000000000000000000000000000000000000000000
χ11216-16000000000-8800-4−45454000000000000000000000000002-225−25000000000000000000000000000000000000000000000000000000000000000

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