Finite Group Databasebeta

← Group #72226437

Character table — Group #72226437

Order 6400.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148
size11112222224444444488888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616162020202020202020252525254040404050505050505080808080808080808080808080808080100100100100100100100100100100100100100100100100100100100100100100100100200200200200200200
order124422244455101020202020245510101010101010101010101020202020202020202020202020201010101010101010101010101010101020202020202020202020202020202020888888882244444422244420202020202020204040404040404040444444444444444488888888244444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1ii−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-1−i−iii
χ511111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1−i−iii
χ611111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1ii−i−i
χ711111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ811111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111
χ9111111111111111111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ10111111111111111111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ11111111111111111111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11−i−iii
χ12111111111111111111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11ii−i−i
χ13111111111111111111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11ii−i−i
χ14111111111111111111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11−i−iii
χ15111111111111111111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ16111111111111111111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ1711-1-11-1-111-11111-1-1-1-11-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−i11-1-1i−ii−i-11-111-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-111-1-1ii−i−iii−i−i1-1i−ii−i
χ1811-1-11-1-111-11111-1-1-1-11-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−i11-1-1i−ii−i-11-111-1ii−i−iii−i−iii−i−iii−i−i-1-111-1-111-1-111-1-111−i−iii−i−iii1-1−ii−ii
χ1911-1-11-1-111-11111-1-1-1-11-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−i−i−iii-1-111i−i−ii1-11-1-11ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-11-111-1
χ2011-1-11-1-111-11111-1-1-1-11-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−i−i−iii-1-111i−i−ii1-11-1-11ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111-111-1-11
χ2111-1-11-1-111-11111-1-1-1-11-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iiiii−i−i-1-111−iii−i1-11-1-11−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111-111-1-11
χ2211-1-11-1-111-11111-1-1-1-11-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iiiii−i−i-1-111−iii−i1-11-1-11−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-11-111-1
χ2311-1-11-1-111-11111-1-1-1-11-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii11-1-1−ii−ii-11-111-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-111-1-1−i−iii−i−iii1-1−ii−ii
χ2411-1-11-1-111-11111-1-1-1-11-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii11-1-1−ii−ii-11-111-1−i−iii−i−iii−i−iii−i−iii-1-111-1-111-1-111-1-111ii−i−iii−i−i1-1i−ii−i
χ2511-1-11-1-111-11111-1-1-1-1-111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−iii−i−i11-1-1−ii−ii-11-111-1−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1-1-111-1-111ii−i−iii−i−i-11−ii−ii
χ2611-1-11-1-111-11111-1-1-1-1-111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−iii−i−i11-1-1−ii−ii-11-111-1−i−iii−i−iiiii−i−iii−i−i-1-111-1-11111-1-111-1-1−i−iii−i−iii-11i−ii−i
χ2711-1-11-1-111-11111-1-1-1-1-111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i−i−iii-1-111−iii−i1-11-1-11−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i-1-11111-1-11-11-1-11
χ2811-1-11-1-111-11111-1-1-1-1-111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i−i−iii-1-111−iii−i1-11-1-11−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii11-1-1-1-1111-1-111-1
χ2911-1-11-1-111-11111-1-1-1-1-111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iiiii−i−i-1-111i−i−ii1-11-1-11ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i11-1-1-1-1111-1-111-1
χ3011-1-11-1-111-11111-1-1-1-1-111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iiiii−i−i-1-111i−i−ii1-11-1-11ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii-1-11111-1-11-11-1-11
χ3111-1-11-1-111-11111-1-1-1-1-111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iii−i−iii11-1-1i−ii−i-11-111-1ii−i−iii−i−i−i−iii−i−iii11-1-111-1-1-1-111-1-111−i−iii−i−iii-11i−ii−i
χ3211-1-11-1-111-11111-1-1-1-1-111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iii−i−iii11-1-1i−ii−i-11-111-1ii−i−iii−i−i−i−iii−i−iii-1-111-1-11111-1-111-1-1ii−i−iii−i−i-11−ii−ii
χ3322222-2-2-2-2222222222002222-2-2222222-2-2-2-2-2-222222222220000-2-2-2-2000000000000-2-2-2-2000000000000000022220000-22-2-2-2200000000000000002-22-22-22-20000000000000000000000
χ3422222-2-2-2-2222222222002222-2-2222222-2-2-2-2-2-222222222220000-2-2-2-2000000000000-2-2-2-2000000000000000022220000-22-2-2-220000000000000000-22-22-22-220000000000000000000000
χ3522222-2-2-2-2222222222002222-2-2222222-2-2-2-2-2-222222222220000-2-2-2-2000000000000-2-2-2-20000000000000000-2-2-2-200002-2222-200000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ3622222-2-2-2-2222222222002222-2-2222222-2-2-2-2-2-222222222220000-2-2-2-2000000000000-2-2-2-20000000000000000-2-2-2-200002-2222-20000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ372222-22-22-2-2222222220022-2-222-2-2-2-222-2-222-2-2-2-22222-2-2-2-2000022-2-200000000000022-2-2000000000000000022220000-2-222-2-2000000000000000000000000000000002-22-22-22-2000000
χ382222-22-22-2-2222222220022-2-222-2-2-2-222-2-222-2-2-2-22222-2-2-2-2000022-2-200000000000022-2-2000000000000000022220000-2-222-2-200000000000000000000000000000000-22-22-22-22000000
χ392222-22-22-2-2222222220022-2-222-2-2-2-222-2-222-2-2-2-22222-2-2-2-2000022-2-200000000000022-2-20000000000000000-2-2-2-2000022-2-222000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000
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χ412222-2-22-22-2222222220022-2-2-2-2-2-2-2-22222-2-222-2-22222-2-2-2-20000-2-222000000000000-2-222000000002-22-22-22-2222200002-2-2-22-2000000002-22-22-22-2000000000000000000000000000000
χ422222-2-22-22-2222222220022-2-2-2-2-2-2-2-22222-2-222-2-22222-2-2-2-20000-2-222000000000000-2-222000000002-22-2-22-22-2-2-2-20000-2222-22000000002-22-2-22-22000000000000000000000000000000
χ432222-2-22-22-2222222220022-2-2-2-2-2-2-2-22222-2-222-2-22222-2-2-2-20000-2-222000000000000-2-22200000000-22-222-22-2-2-2-2-20000-2222-2200000000-22-222-22-2000000000000000000000000000000
χ442222-2-22-22-2222222220022-2-2-2-2-2-2-2-22222-2-222-2-22222-2-2-2-20000-2-222000000000000-2-22200000000-22-22-22-22222200002-2-2-22-200000000-22-22-22-22000000000000000000000000000000
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χ4622-2-2222-2-2-22222-2-2-2-20022222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200002222000000000000-2-2-2-2000000000000000022-2-20000222-2-2-20000000000000000-222-2-222-20000000000000000000000
χ4722-2-2222-2-2-22222-2-2-2-20022222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200002222000000000000-2-2-2-20000000000000000-2-2220000-2-2-222200000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ4822-2-2222-2-2-22222-2-2-2-20022222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200002222000000000000-2-2-2-20000000000000000-2-2220000-2-2-22220000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ4922-2-2-22-2-2222222-2-2-2-20022-2-222-2-2-2-222-2-2-2-22222-2-2-2-22222000022-2-2000000000000-2-222000000002i−2i−2i2i2i−2i−2i2i22-2-20000-2-22-222000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
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χ5122-2-2-22-2-2222222-2-2-2-20022-2-222-2-2-2-222-2-2-2-22222-2-2-2-22222000022-2-2000000000000-2-22200000000−2i2i2i−2i2i−2i−2i2i-2-222000022-22-2-200000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ5222-2-2-22-2-2222222-2-2-2-20022-2-222-2-2-2-222-2-2-2-22222-2-2-2-22222000022-2-2000000000000-2-22200000000−2i2i2i−2i−2i2i2i−2i22-2-20000-2-22-22200000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ5322-2-2-2-222-222222-2-2-2-20022-2-2-2-2-2-2-2-2222222-2-222-2-2-2-222220000-2-22200000000000022-2-2000000000000000022-2-200002-2-22-22000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000
χ5422-2-2-2-222-222222-2-2-2-20022-2-2-2-2-2-2-2-2222222-2-222-2-2-2-222220000-2-22200000000000022-2-2000000000000000022-2-200002-2-22-2200000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000
χ5522-2-2-2-222-222222-2-2-2-20022-2-2-2-2-2-2-2-2222222-2-222-2-2-2-222220000-2-22200000000000022-2-20000000000000000-2-2220000-222-22-2000000000000000000000000000000002-2-22-222-2000000
χ5622-2-2-2-222-222222-2-2-2-20022-2-2-2-2-2-2-2-2222222-2-222-2-2-2-222220000-2-22200000000000022-2-20000000000000000-2-2220000-222-22-200000000000000000000000000000000-222-22-2-22000000
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χ5844444444444-14-144-1-144-1-14-14-1-1-1-1-1-1-14-14-14-14-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-4-4-4-4000000-4-40000000000111100001111000000000000000000000000000000
χ5944444444444-14-144-1-1-4-4-1-14-14-1-1-1-1-1-1-14-14-14-14-1-1-1-1-1-1-1-1-1-4-411-1-1-1-111111111-4-411-1-1-1-11111111100004444000000-4-4000000000011110000-1-1-1-1000000000000000000000000000000
χ6044444444444-14-144-1-1-4-4-1-14-14-1-1-1-1-1-1-14-14-14-14-1-1-1-1-1-1-1-1-1-4-411-1-1-1-111111111-4-411-1-1-1-1111111110000-4-4-4-4000000440000000000-1-1-1-100001111000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).