Finite Group Databasebeta

← Group #14512953

Character table — Group #14512953

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size111122222222222222222266666666888810101010121212121212121212121212121212121212121212121212121212121212161616161616161616161616161616161616242424242424242430303030606060606060606080808080
order1244558810102020202040404040404040402444448836121224882488881010202020202020202020204040404040404040404040401515242430306060606012012012012012012012012010102020404040402488244488886122424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ411111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1
χ6111111-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111
χ7111111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1
χ8111111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111
χ911-1-111i−i11-1-1-1-1iiii−i−i−i−i-1ii−i−i1i−i11-1-11-1i−i1-1i−i1-1-1-1iiii−i−i−i−i11ii−i−i1111-1-1-1-111i−i11-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i-11i−i-11i−ii−i1-11-1i−i
χ1011-1-111i−i11-1-1-1-1iiii−i−i−i−i-1ii−i−i1i−i11-1-1-11−ii1-1i−i1-1-1-1iiii−i−i−i−i11ii−i−i1111-1-1-1-111i−i11-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i1-1−ii1-1−ii−ii-11-11−ii
χ1111-1-111i−i11-1-1-1-1iiii−i−i−i−i-1−i−iii1i−i11-1-11-1i−i-11−ii-11-1-1−i−i−i−iiiii11ii−i−i-1-1-1-1111111i−i11-1-1-1-1iiii−i−i−i−i-1-111−i−iii-11i−i1-1−ii−ii-111-1i−i
χ1211-1-111i−i11-1-1-1-1iiii−i−i−i−i-1−i−iii1i−i11-1-1-11−ii-11−ii-11-1-1−i−i−i−iiiii11ii−i−i-1-1-1-1111111i−i11-1-1-1-1iiii−i−i−i−i-1-111−i−iii1-1−ii-11i−ii−i1-1-11−ii
χ1311-1-111−ii11-1-1-1-1−i−i−i−iiiii-1ii−i−i1−ii11-1-11-1−ii-11i−i-11-1-1iiii−i−i−i−i11−i−iii-1-1-1-1111111−ii11-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-11−ii1-1i−ii−i-111-1−ii
χ1411-1-111−ii11-1-1-1-1−i−i−i−iiiii-1ii−i−i1−ii11-1-1-11i−i-11i−i-11-1-1iiii−i−i−i−i11−i−iii-1-1-1-1111111−ii11-1-1-1-1−i−i−i−iiiii-1-111ii−i−i1-1i−i-11−ii−ii1-1-11i−i
χ1511-1-111−ii11-1-1-1-1−i−i−i−iiiii-1−i−iii1−ii11-1-11-1−ii1-1−ii1-1-1-1−i−i−i−iiiii11−i−iii1111-1-1-1-111−ii11-1-1-1-1−i−i−i−iiiii11-1-1−i−iii-11−ii-11−ii−ii1-11-1−ii
χ1611-1-111−ii11-1-1-1-1−i−i−i−iiiii-1−i−iii1−ii11-1-1-11i−i1-1−ii1-1-1-1−i−i−i−iiiii11−i−iii1111-1-1-1-111−ii11-1-1-1-1−i−i−i−iiiii11-1-1−i−iii1-1i−i1-1i−ii−i-11-11i−i
χ17222222222222222222222220000222-1-1-1-12222000000220000000022222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-1
χ18222222222222222222222220000222-1-1-1-1-2-2-2-2000000220000000022222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000001111
χ19222222-2-2222222-2-2-2-2-2-2-2-2200002-2-2-1-1-1-122-2-2000000220000000022-2-2-2-200000000-1-111-1-1-1-1-1-1111111110000000022-2-200000000-1-111
χ20222222-2-2222222-2-2-2-2-2-2-2-2200002-2-2-1-1-1-1-2-222000000220000000022-2-2-2-200000000-1-111-1-1-1-1-1-11111111100000000-2-2220000000011-1-1
χ212222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222222220000222222−1+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+52−1−52−1−52−1+52−1−5222−1+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+52−1−520000000000000000
χ222222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2-2-222222220000-2-2-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+520000000000000000
χ232222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52222222-2-222220000-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ242222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522-2-2-2-22-2-22222000022-2-222−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ252222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222222220000222222−1−52−1+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+52−1−52−1+5222−1−52−1+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+520000000000000000
χ262222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2-2-222222220000-2-2-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−520000000000000000
χ272222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52222222-2-222220000-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
χ282222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-2-2-2-22-2-22222000022-2-222−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
χ2922-2-2222i−2i22-2-2-2-22i2i2i2i−2i−2i−2i−2i-2000022i−2i-1-1112-22i−2i000000-2-200000000222i2i−2i−2i00000000-1-1−ii-1-11111−i−i−i−iiiii00000000-222i−2i00000000-11−ii
χ3022-2-2222i−2i22-2-2-2-22i2i2i2i−2i−2i−2i−2i-2000022i−2i-1-111-22−2i2i000000-2-200000000222i2i−2i−2i00000000-1-1−ii-1-11111−i−i−i−iiiii000000002-2−2i2i000000001-1i−i
χ3122-2-222−2i2i22-2-2-2-2−2i−2i−2i−2i2i2i2i2i-200002−2i2i-1-1112-2−2i2i000000-2-20000000022−2i−2i2i2i00000000-1-1i−i-1-11111iiii−i−i−i−i00000000-22−2i2i00000000-11i−i
χ3222-2-222−2i2i22-2-2-2-2−2i−2i−2i−2i2i2i2i2i-200002−2i2i-1-111-222i−2i000000-2-20000000022−2i−2i2i2i00000000-1-1i−i-1-11111iiii−i−i−i−i000000002-22i−2i000000001-1−ii
χ3322-2-2−1+52−1−522i−2i−1+52−1−521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14-22i2i−2i−2i22i−2i22-2-200002-22i−2i2-21−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−1+52−1−52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−522i−2i−1+52−1−521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−1+52−1−521−521+52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ140000000000000000
χ3422-2-2−1+52−1−522i−2i−1+52−1−521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14-2−2i−2i2i2i22i−2i22-2-20000-22−2i2i-221−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−1+52−1−52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ141−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−522i−2i−1+52−1−521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ141−521+52−1+52−1−52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ140000000000000000
χ3522-2-2−1+52−1−52−2i2i−1+52−1−521−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14-22i2i−2i−2i2−2i2i22-2-20000-222i−2i-221−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−1+52−1−52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ141−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−2i2i−1+52−1−521−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ141−521+52−1+52−1−52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ140000000000000000
χ3622-2-2−1+52−1−52−2i2i−1+52−1−521−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14-2−2i−2i2i2i2−2i2i22-2-200002-2−2i2i2-21−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−1+52−1−52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−2i2i−1+52−1−521−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−1+52−1−521−521+52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ140000000000000000
χ3722-2-2−1−52−1+522i−2i−1−52−1+521+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38-22i2i−2i−2i22i−2i22-2-200002-22i−2i2-21+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−1−52−1+52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+522i−2i−1−52−1+521+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−1−52−1+521+521−52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ380000000000000000
χ3822-2-2−1−52−1+522i−2i−1−52−1+521+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38-2−2i−2i2i2i22i−2i22-2-20000-22−2i2i-221+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−1−52−1+52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ381+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+522i−2i−1−52−1+521+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ381+521−52−1−52−1+52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ380000000000000000
χ3922-2-2−1−52−1+52−2i2i−1−52−1+521+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38-22i2i−2i−2i2−2i2i22-2-20000-222i−2i-221+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−1−52−1+52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ381+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−2i2i−1−52−1+521+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ381+521−52−1−52−1+52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ380000000000000000
χ4022-2-2−1−52−1+52−2i2i−1−52−1+521+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38-2−2i−2i2i2i2−2i2i22-2-200002-2−2i2i2-21+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−1−52−1+52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−2i2i−1−52−1+521+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−1−52−1+521+521−52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ380000000000000000
χ413333333333333333333333-11111-1-1-100003333-1-1-1-111-1-111111111-1-1-1-1-1-111111111000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1110000
χ423333333333333333333333-11111-1-1-10000-3-3-3-3-1-1-1-111-1-111111111-1-1-1-1-1-111111111000000000000000000-1-1-1-1-1-1-1-1111111-1-111-1-10000
χ433333333333333333333333-1-1-1-1-1-1-1-1000033331111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000011111111-1-1-1-111-1-111-1-10000
χ443333333333333333333333-1-1-1-1-1-1-1-10000-3-3-3-31111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000111111111111-1-111-1-1110000
χ45333333-3-3333333-3-3-3-3-3-3-3-3-11111-111000033-3-311-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-10000000000000000001111-1-1-1-1-1-1111111-1-1-1-10000
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χ47333333-3-3333333-3-3-3-3-3-3-3-3-1-1-1-1-1-111000033-3-3-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000-1-1-1-11111-1-111-1-1-1-111110000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.