Finite Group Databasebeta

← Group #72223428

Character table — Group #72223428

Order 6400.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142
size1122244444444444488888888888888888888810101010101010101616161616161616161616161616161616161616202020202020202020202020202020202525323232323232323240404040404040404040404040405050508080808080808080100100100100100100100100100100100100200200200200200200200200200200200200200
order122442444551010202020205581010101020202020202020202020202020208888888810101010202020202020202020202020404040402244888840404040404040402210102020404040408840404040404040404040404024410102020404040402444444444444444444488888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1
χ31111111111111111111111111111111111111111-1-111-1-1111111111111111111111-11-11-11-11111-1-1-1-1-1-1111111111-111-1-11111-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1ii−i−i
χ41111111111111111111111111111111111111111-1-111-1-1111111111111111111111-11-11-11-11111-1-1-1-1-1-1111111111-111-1-11111-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1−i−iii
χ511111111111111111111111111111111111111-1-111-1-11111111111111111111111-11-11-11-11-1-1-1-11111-1-111111111-11-1-111-1-1-1-11111-1-1-1-11-11-1-111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1i−ii−i
χ611111111111111111111111111111111111111-1-111-1-11111111111111111111111-11-11-11-11-1-1-1-11111-1-111111111-11-1-111-1-1-1-11111-1-1-1-11-11-1-111-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1−ii−ii
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-11
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11-111-1
χ91111111-1-11111111111-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-111-1-1-1-1111-11-11-11-1-1-111-1
χ101111111-1-11111111111-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-11111-1-1-11-11-11-11-11-1-11
χ111111111-1-11111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-11-1-1-1-11111-1-11111-1-1-1-1-11-1-1111111-1-1-1-1-1-1-11-11-1-1-111-1-111ii−i−iii−i−ii−ii−i−ii−ii1−ii−ii
χ121111111-1-11111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-11-1-1-1-11111-1-11111-1-1-1-1-11-1-1111111-1-1-1-1-1-1-11-11-1-1-111-1-111−i−iii−i−iii−ii−iii−ii−i1i−ii−i
χ131111111-1-11111111111-11111-1-1-1-1-1-1-1-1111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-11111-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-11-1111-1-1-1-111iiii−i−i−i−ii−i−iii−i−ii1−i−iii
χ141111111-1-11111111111-11111-1-1-1-1-1-1-1-1111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-11111-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-11-1111-1-1-1-111−i−i−i−iiiii−iii−i−iii−i1ii−i−i
χ151111111-1-11111111111-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1111111111-1-11-111-1-1-1-1-1-1
χ161111111-1-11111111111-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-11-1-11-11111
χ1711111-1-1111111111111-111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111
χ1811111-1-1111111111111-111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1
χ1911111-1-1111111111111-111111111111111111111-1-111-1-1-1-111-1-11111111111-1-1-1-1-11-111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11-11-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii1ii−i−i
χ2011111-1-1111111111111-111111111111111111111-1-111-1-1-1-111-1-11111111111-1-1-1-1-11-111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11-11-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i1−i−iii
χ2111111-1-1111111111111-1111111111111111111-1-111-1-111-1-111-1-11111111111-1-1-1-11-11-1-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-1-1-11-11-111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii1i−ii−i
χ2211111-1-1111111111111-1111111111111111111-1-111-1-111-1-111-1-11111111111-1-1-1-11-11-1-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-1-1-11-11-111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i1−ii−ii
χ2311111-1-1111111111111-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11111-1-1-1-111-1-11111-1-1-11-1-11
χ2411111-1-1111111111111-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1-11111-1-111-1-1-1-111-1-111-1
χ2511111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-11-11-11-111-111-1
χ2611111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-11111-1-11-11-11-11-111-1-11
χ2711111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-11-111-1-11-1-1-1-11111-1-1-1-1-1-111111-1-1-1111111-1-1-1-1-1-1-1-11-1111-1-11111ii−i−iii−i−i−ii−iii−ii−i-1−ii−ii
χ2811111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-11-111-1-11-1-1-1-11111-1-1-1-1-1-111111-1-1-1111111-1-1-1-1-1-1-1-11-1111-1-11111−i−iii−i−iiii−ii−i−ii−ii-1i−ii−i
χ2911111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111-11-1-111-11111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-11111-1-1-11-11-1-1-1111111iiii−i−i−i−i−iii−i−iii−i-1−i−iii
χ3011111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111-11-1-111-11111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-11111-1-1-11-11-1-1-1111111−i−i−i−iiiiii−i−iii−i−ii-1ii−i−i
χ3111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-111-11-1-111-1-1-1-1
χ3211111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-111-111111
χ3322-22-22-2002222-2-2-2-2220-2-22200000000-2-2-2-2222222000022-2-2-2-222000000000000-2-222-2-200000000002222-2-2000000000022-2-222-2-2-2-22-2-22200002-200000000000000000000000
χ3422-22-22-2002222-2-2-2-2220-2-22200000000-2-2-2-22222-2-2000022-2-2-2-222000000000000-222-2-220000000000-2-222-2-2000000000022-2-2-2-22222-2-222-20000-2200000000000000000000000
χ3522-22-22-2002222-2-2-2-2220-2-22200000000-2-2-2-222-2-222000022-2-2-2-2220000000000002-2-222-20000000000-2-222-2-20000000000-2-22222-2-222-22-2-220000-2200000000000000000000000
χ3622-22-22-2002222-2-2-2-2220-2-22200000000-2-2-2-222-2-2-2-2000022-2-2-2-22200000000000022-2-22200000000002222-2-20000000000-2-222-2-222-2-2222-2-200002-200000000000000000000000
χ3722-22-2-22002222-2-2-2-2220-2-22200000000-2-2-2-22222220000-2-2-2-2222200000000000022-2-2-2-2000000000022-2-222000000000022-2-222-2-2-2-2222-2-20000-2200000000000000000000000
χ3822-22-2-22002222-2-2-2-2220-2-22200000000-2-2-2-22222-2-20000-2-2-2-222220000000000002-2-22-220000000000-2-2-2-222000000000022-2-2-2-22222-22-2-2200002-200000000000000000000000
χ3922-22-2-22002222-2-2-2-2220-2-22200000000-2-2-2-222-2-2220000-2-2-2-22222000000000000-222-22-20000000000-2-2-2-2220000000000-2-22222-2-222-2-222-200002-200000000000000000000000
χ4022-22-2-22002222-2-2-2-2220-2-22200000000-2-2-2-222-2-2-2-20000-2-2-2-22222000000000000-2-22222000000000022-2-2220000000000-2-222-2-222-2-22-2-2220000-2200000000000000000000000
χ4122-2-22000022222222220-2-222000000002222-2-20000222200-2-200-2-2000000000000000000-2-222222222220000000000-2-2-2-200000000-22-20000000000002-22-22-22-20000000000000
χ4222-2-22000022222222220-2-222000000002222-2-20000222200-2-200-2-2000000000000000000-2-222222222220000000000-2-2-2-200000000-22-2000000000000-22-22-22-220000000000000
χ4322-2-22000022222222220-2-222000000002222-2-2000022-2-200-2-200-2-2000000000000000000-222222-2-2-2-2-2-20000000000-2-222000000002-220000000000002i−2i2i−2i−2i2i−2i2i0000000000000
χ4422-2-22000022222222220-2-222000000002222-2-2000022-2-200-2-200-2-2000000000000000000-222222-2-2-2-2-2-20000000000-2-222000000002-22000000000000−2i2i−2i2i2i−2i2i−2i0000000000000
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χ4822-2-22000022222222220-2-222000000002222-2-20000-2-2-2-200-2-200-2-200000000000000000022-2-2-2-2-2-2-2-2220000000000222200000000-22-2000000000000-222-22-2-220000000000000
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χ504444444444-14-144-1-1-1-144-1-1-14444-1-1-1-1-1-1-1-14-100-4-400-4-44-1-1-14-1-1-1-1-1-1-1-1-1-1-144-1-10-40-40-40-40000111100-1-1-1-1-1-1-1-10-4001100001111000010100110000000000000000000000000
χ51444444444-14-14-1-144-1-14-14-1-1-1-1-1-14444-1-1-1-1-1444004400-14-1-1-14-1-1-1-1-1-1-1-1-1-1-1-14440404040-1-1-1-1000000-1-1-1-1-1-1-1-140-1-100-1-1-1-10000000-10-10-1-1000000000000000000000000000
χ52444444444-14-14-1-144-1-14-14-1-1-1-1-1-14444-1-1-1-1-14-4-400-4-400-14-1-1-14-1-1-1-1-1-1-1-1-1-1-1-144-40-40-40-401111000000-1-1-1-1-1-1-1-1-40110011110000000101011000000000000000000000000000
χ534444444-4-44-14-144-1-1-1-1-44-1-1-1-4-4-4-41111-1-1-1-14-1004400-4-44-1-1-14-1-1-111111111-4-4110404040-40000111100-1-1-1-111110-400110000-1-1-1-10000-10-100110000000000000000000000000
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χ564444444-4-4-14-14-1-144-1-1-4-14-1-11111-4-4-4-4-1-1-1-1-14-4-4004400-14-1-1-14-1-11111111111-4-4-40-40-4040-1-1-1-1000000-1-1-1-1111140-1-100111100000001010-1-1000000000000000000000000000
χ5744444-4-4444-14-144-1-1-1-1-44-1-1-14444-1-1-1-1-1-1-1-14-100440044-41-1-1-41-1-1-1-1-1-1-1-1-1-1-4-4110-40-404040000-1-1-1-100111111110-400-1-10000-1-1-1-1000010100110000000000000000000000000
χ5844444-4-4444-14-144-1-1-1-1-44-1-1-14444-1-1-1-1-1-1-1-14-100-4-400-4-4-41-1-1-41-1-1-1-1-1-1-1-1-1-1-4-41104040-40-4000011110011111111040011000011110000-10-100-1-10000000000000000000000000
χ5944444-4-444-14-14-1-144-1-1-4-14-1-1-1-1-1-14444-1-1-1-1-14440044001-4-1-11-4-1-1-1-1-1-1-1-1-1-111-4-4-40-404040-1-1-1-100000011111111-40-1-100-1-1-1-10000000101011000000000000000000000000000
χ6044444-4-444-14-14-1-144-1-1-4-14-1-1-1-1-1-14444-1-1-1-1-14-4-400-4-4001-4-1-11-4-1-1-1-1-1-1-1-1-1-111-4-44040-40-4011110000001111111140110011110000000-10-10-1-1000000000000000000000000000
χ6144444-4-4-4-44-14-144-1-1-1-144-1-1-1-4-4-4-41111-1-1-1-14-1004400-4-4-41-1-1-41-1-11111111144-1-10-40-4040-400001111001111-1-1-1-10400110000-1-1-1-1000010100-1-10000000000000000000000000
χ6244444-4-4-4-44-14-144-1-1-1-144-1-1-1-4-4-4-41111-1-1-1-14-100-4-40044-41-1-1-41-1-11111111144-1-104040-4040000-1-1-1-1001111-1-1-1-10-400-1-1000011110000-10-100110000000000000000000000000
χ6344444-4-4-4-4-14-14-1-144-1-14-14-1-11111-4-4-4-4-1-1-1-1-144400-4-4001-4-1-11-4-1-111111111-1-144-40-4040-4011110000001111-1-1-1-1401100-1-1-1-100000001010-1-1000000000000000000000000000
χ6444444-4-4-4-4-14-14-1-144-1-14-14-1-11111-4-4-4-4-1-1-1-1-14-4-40044001-4-1-11-4-1-111111111-1-1444040-4040-1-1-1-10000001111-1-1-1-1-40-1-10011110000000-10-1011000000000000000000000000000
χ65444-4-400004444-4-4-4-4440444400000000-4-4-4-4-4-400000000004400-4-400000000000000000000000000004400000000000000000000004-4-4000000000000000000000000000000000
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χ1341616-16-16160000-4-4-4-4-4-4-4-4-46044-4600000000-4-4664400000000004-6004-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13516-16000008-8-4-4444i5−4i54i5−4i56-4000-64−2+2i52−2i5−2−2i52+2i5−2+2i52−2i5−2−2i52+2i5−2i52i5000000000000000000003−i5−3+i5-22-223+i5−3−i500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13616-16000008-8-4-4444i5−4i5−4i54i5-460004-6−2+2i52−2i5−2−2i52+2i5−2−2i52+2i5−2+2i52−2i5002i5−2i5000000000000000000-223+i5−3−i53−i5−3+i5-2200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13716-16000008-8-4-444−4i54i54i5−4i5-460004-6−2−2i52+2i5−2+2i52−2i5−2+2i52−2i5−2−2i52+2i500−2i52i5000000000000000000-223−i5−3+i53+i5−3−i5-2200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13816-16000008-8-4-444−4i54i5−4i54i56-4000-64−2−2i52+2i5−2+2i52−2i5−2−2i52+2i5−2+2i52−2i52i5−2i5000000000000000000003+i5−3−i5-22-223−i5−3+i500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13916-1600000-88-4-4444i5−4i54i5−4i56-4000-642−2i5−2+2i52+2i5−2−2i52−2i5−2+2i52+2i5−2−2i5−2i52i500000000000000000000−3+i53−i52-22-2−3−i53+i500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14016-1600000-88-4-4444i5−4i5−4i54i5-460004-62−2i5−2+2i52+2i5−2−2i52+2i5−2−2i52−2i5−2+2i5002i5−2i50000000000000000002-2−3−i53+i5−3+i53−i52-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14116-1600000-88-4-444−4i54i54i5−4i5-460004-62+2i5−2−2i52−2i5−2+2i52−2i5−2+2i52+2i5−2−2i500−2i52i50000000000000000002-2−3+i53−i5−3−i53+i52-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14216-1600000-88-4-444−4i54i5−4i54i56-4000-642+2i5−2−2i52−2i5−2+2i52+2i5−2−2i52−2i5−2+2i52i5−2i500000000000000000000−3−i53+i52-22-2−3+i53−i500000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.