Finite Group Databasebeta

← Group #13085887

Character table — Group #13085887

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222224444444444444444444466666666666666666666888888889999101012121212121212121212121212121212121212121818181818181818202020202020202030303030606060609090
order122233556666661010101010103666151515153030303030303030303030304444202020202020202020202020202020201515303030303030444422121212126060606060606060606060606060606020202020202020206666666644441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ91-1-11111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-11-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-111-1-1i−ii−ii−ii−i1-1
χ101-1-11111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-1-11i−ii−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-111-1-111−ii−ii−ii−ii-11
χ111-1-11111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1i−i−iiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1111-1i−i−iiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111111-1-111-1-1i−i−iii−i−ii-11
χ121-1-11111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1i−i−iiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111-11i−i−iiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-111-1-111−iii−i−iii−i1-1
χ131-1-11111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1−iii−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1111-1−iii−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1111111-1-111-1-1−iii−i−iii−i-11
χ141-1-11111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1−iii−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111-11−iii−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-111-1-111i−i−iii−i−ii1-1
χ151-1-11111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-11-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-111-1-1−ii−ii−ii−ii1-1
χ161-1-11111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-1-11−ii−ii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-111-1-111i−ii−ii−ii−i-11
χ17222222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ18222222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-20022-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000
χ19222222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-200-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ20222222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222200-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ21222222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ22222222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-20022-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000
χ23222222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-200-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000000
χ24222222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222200-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ2522222-1222-12-12-1222222-1-1-1-12-12-12-12-12-12-12-12-100220000000022222222-1-1-1-1-1-1-1-100002200-1-100000000-1-1-1-1-1-1-1-1000000002-12-1-1-1-1-1002200-1-100
χ2622222-1222-12-12-1222222-1-1-1-12-12-12-12-12-12-12-12-100220000000022222222-1-1-1-1-1-1-1-10000-2-200-1-100000000-1-1-1-1-1-1-1-100000000-21-21111100-2-2001100
χ2722222-1222-12-12-1222222-1-1-1-12-12-12-12-12-12-12-12-100-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100002200110000000011111111000000002-12-1-1-1-1-100-2-2001100
χ2822222-1222-12-12-1222222-1-1-1-12-12-12-12-12-12-12-12-100-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10000-2-20011000000001111111100000000-21-211111002200-1-100
χ292222-1222-12-12-12222222-1-1-1-1-12-12-12-12-12-12-12-1222002222222200000000-1-1-1-1-1-1-1-1000022-1-100-1-1-1-1-1-1-1-10000000000000000-12-12-1-1-1-12200-1-10000
χ302222-1222-12-12-12222222-1-1-1-1-12-12-12-12-12-12-12-1222002222222200000000-1-1-1-1-1-1-1-10000-2-2-1-100-1-1-1-1-1-1-1-100000000000000001-21-21111-2-200110000
χ312222-1222-12-12-12222222-1-1-1-1-12-12-12-12-12-12-12-12-2-200-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-10000221100111111110000000000000000-12-12-1-1-1-1-2-200110000
χ322222-1222-12-12-12222222-1-1-1-1-12-12-12-12-12-12-12-12-2-200-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-10000-2-211001111111100000000000000001-21-211112200-1-10000
χ3322-2-22222-2-22-2-222-22-2-2-22-22-22222-2-2-2-2-22-222-22-20000000000000000000022-2-22-22-22i−2i2i−2i00000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000
χ3422-2-22222-2-22-2-222-22-2-2-22-22-22222-2-2-2-2-22-222-22-20000000000000000000022-2-22-22-2−2i2i−2i2i0000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000
χ3522-2-222−1+52−1−52-2-22-2-22−1+521−52−1−521+521−521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+521−52−1+521+52−1−52−1+521−52−1−521+520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−1+52−1−521−521+52−1+521−52−1−521+522i−2i2i−2i000000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7000000000000000000
χ3622-2-222−1+52−1−52-2-22-2-22−1+521−52−1−521+521−521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+521−52−1+521+52−1−52−1+521−52−1−521+520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−1+52−1−521−521+52−1+521−52−1−521+52−2i2i−2i2i000000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7000000000000000000
χ3722-2-222−1+52−1−52-2-22-2-22−1+521−52−1−521+521−521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+521−52−1+521+52−1−52−1+521−52−1−521+520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−1+52−1−521−521+52−1+521−52−1−521+52−2i2i−2i2i000000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7000000000000000000
χ3822-2-222−1+52−1−52-2-22-2-22−1+521−52−1−521+521−521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+521−52−1+521+52−1−52−1+521−52−1−521+520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−1+52−1−521−521+52−1+521−52−1−521+522i−2i2i−2i000000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7000000000000000000
χ3922-2-222−1−52−1+52-2-22-2-22−1−521+52−1+521−521+521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−521+52−1−521−52−1+52−1−521+52−1+521−520000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−1−52−1+521+521−52−1−521+52−1+521−52−2i2i−2i2i000000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19000000000000000000
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χ11688-8-8-4-4−2−25−2+2544-444-4−2−252+25−2+252−252+252−252-22-21+51+51−51−5−1−5−1−5−1+5−1+5−1−51+5−1+51−51+5−1−51−5−1+500000000000000000000−1−52−1+521+521−52−1−521+52−1+521−520000000000000000000000000000000000000000000000000000
χ1178-88-8-4-4−2+25−2−25444-4-442−25−2+252+25−2−252−252+252-2-221−51−51+51+5−1+5−1+5−1−5−1−51−5−1+51+5−1−5−1+51−5−1−51+500000000000000000000−1+52−1−521−521+521−52−1+521+52−1−520000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4−2−25−2+25444-4-442+25−2−252−25−2+252+252−252-2-221+51+51−51−5−1−5−1−5−1+5−1+51+5−1−51−5−1+5−1−51+5−1+51−500000000000000000000−1−52−1+521+521−521+52−1−521−52−1+520000000000000000000000000000000000000000000000000000
χ1198-8-88-4-4−2+25−2−25-4-444442−252−252+252+25−2+25−2−2522-2-21−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−500000000000000000000−1+52−1−52−1+52−1−521−521−521+521+520000000000000000000000000000000000000000000000000000
χ1208-8-88-4-4−2−25−2+25-4-444442+252+252−252−25−2−25−2+2522-2-21+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+500000000000000000000−1−52−1+52−1−52−1+521+521+521−521−520000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.