Finite Group Databasebeta

← Group #14283042

Character table — Group #14283042

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222222444444444444444444444448888888888888888888810101010101010101010121212121616161616161616161616162020202020202024242424242424242424242424242424242440404040404060606060120120
order1222223445566610101010101046610101010121212121515202020203030303030302466121220203030303060606060606060604444441212121244441010202030303030606060604121212121212882020202020202020404040404040404024661212444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1
χ91111-1-11-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-11111111-111-1-111-1-1-1-11111-1-1-1-111-1-1111111ii−i−i11-1-11111-1-1-1-1-111-1-1-1-1i−iiiii−i−i−i−iiiii−i−i−i−i-11-1-111ii−i−ii−i
χ101111-1-11-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-11111111-111-1-111-1-1-1-11111-1-1-1-111-1-1111111−i−iii11-1-11111-1-1-1-1-111-1-1-1-1−ii−i−i−i−iiiii−i−i−i−iiiii-11-1-111−i−iii−ii
χ111111-1-11-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-11111111-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1ii−i−i11-1-11111-1-1-1-11-1-11111i−iiiii−i−i−i−iiiii−i−i−i−i1-111-1-1−i−iii−ii
χ121111-1-11-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-11111111-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1−i−iii11-1-11111-1-1-1-11-1-11111−ii−i−i−i−iiiii−i−i−i−iiiii1-111-1-1ii−i−ii−i
χ131111-1-11-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111-11-1-11111-1-1-1-11111-1-1-1-111-1-1111111ii−i−i-1-111-1-1-1-11111-111-1-1-1-1−iiiiii−i−i−i−i−i−i−i−iiiii1-111-1-1ii−i−i−ii
χ141111-1-11-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111-11-1-11111-1-1-1-11111-1-1-1-111-1-1111111−i−iii-1-111-1-1-1-11111-111-1-1-1-1i−i−i−i−i−iiiiiiiii−i−i−i−i1-111-1-1−i−iiii−i
χ151111-1-11-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111-11-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1ii−i−i-1-111-1-1-1-111111-1-11111−iiiiii−i−i−i−i−i−i−i−iiiii-11-1-111−i−iiii−i
χ161111-1-11-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111-11-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1−i−iii-1-111-1-1-1-111111-1-11111i−i−i−i−i−iiiiiiiii−i−i−i−i-11-1-111ii−i−i−ii
χ17222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+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+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000002222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000022−1−52−1−52−1+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+52000000000000
χ18222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+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+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000
χ19222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+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+52-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000022221+521−521+521−521+521+521−521−521+521+521−521−520000000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000
χ20222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+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+52-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000-2-2-2-21+521−521+521−521+521+521−521−521+521+521−521−520000000221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ21222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52222−1+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+52−1−52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000002222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000022−1+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+52−1−52−1−52000000000000
χ22222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52222−1+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+52−1−52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000
χ23222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52222−1+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+52−1−52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000022221−521+521−521+521−521−521+521+521−521−521+521+520000000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000
χ24222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52222−1+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+52−1−52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000-2-2-2-21−521+521−521+521−521−521+521+521−521−521+521+520000000221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ252222222-2-222222222222-2222222-2-2-2-222-2-2-2-2222222000000-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-20000000000000000-22222-2-2000000000000000000000000000000
χ262222222-2-222222222222-2222222-2-2-2-222-2-2-2-2222222000000-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222200000000000000002-2-2-2-222000000000000000000000000000000
χ27222222-12222-1-1-12222222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-100002222-1-1-1-1-1-1-1-12-1-1-1-1-1-100000000000000000022-1-1-1-1000000
χ28222222-12222-1-1-12222222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111100002222-1-1-1-1-1-1-1-1-2111111000000000000000000-2-21111000000
χ29222222-12222-1-1-12222222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2111122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-10000-2-2-2-2111111112-1-1-1-1-1-1000000000000000000-2-21111000000
χ30222222-12222-1-1-12222222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2111122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211110000-2-2-2-211111111-211111100000000000000000022-1-1-1-1000000
χ31222222-1-2-222-1-1-1222222-2-1-122221111-1-1-2-2-2-2-1-1-1-1-1-100−i3i3−i3i3-2-2-1-1-1-1111111112222-2-2111100000000−i3i3−i3i3−i3i3−i3i3-2-1-1-1-11100000000000000000000−i3i3−i3i3000000
χ32222222-1-2-222-1-1-1222222-2-1-122221111-1-1-2-2-2-2-1-1-1-1-1-100−i3i3−i3i3-2-2-1-1-1-111111111-2-2-2-222-1-1-1-100000000−i3i3−i3i3−i3i3−i3i321111-1-100000000000000000000i3−i3i3−i3000000
χ33222222-1-2-222-1-1-1222222-2-1-122221111-1-1-2-2-2-2-1-1-1-1-1-100i3−i3i3−i3-2-2-1-1-1-1111111112222-2-2111100000000i3−i3i3−i3i3−i3i3−i3-2-1-1-1-11100000000000000000000i3−i3i3−i3000000
χ34222222-1-2-222-1-1-1222222-2-1-122221111-1-1-2-2-2-2-1-1-1-1-1-100i3−i3i3−i3-2-2-1-1-1-111111111-2-2-2-222-1-1-1-100000000i3−i3i3−i3i3−i3i3−i321111-1-100000000000000000000−i3i3−i3i3000000
χ352222-2-222222222222222-2-2-2-2-2-2-2-2-222222222222222000000-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20000000000000000222-2-222000000000000000000000000000000
χ362222-2-222222222222222-2-2-2-2-2-2-2-2-222222222222222000000-2-2-2-2-2-2-2-2-2-22222-2-2222222220000000000000000-2-2-222-2-2000000000000000000000000000000
χ372222-2-22-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-2-21+521−521+521−5222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+522-222-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000002i2i−2i−2i−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000002i−2i−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94000000000000
χ382222-2-22-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-2-21+521−521+521−5222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+522-222-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000−2i−2i2i2i−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000−2i2iζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94000000000000
χ392222-2-22-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-2-21+521−521+521−5222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-22-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000002i2i−2i−2i1+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000−2i2i−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94000000000000
χ402222-2-22-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-2-21+521−521+521−5222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-22-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000−2i−2i2i2i1+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000002i−2iζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94000000000000
χ412222-2-22-2-2−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522-2-21−521+521−521+5222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−522-222-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000002i2i−2i−2i−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000002i−2i−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118000000000000
χ422222-2-22-2-2−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522-2-21−521+521−521+5222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−522-222-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000−2i−2i2i2i−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000−2i2iζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118000000000000
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χ1228-88-800-4−8i8i−2+25−2−254-44−2+25−2−252−252−252+252+250000000004i−4i1−51+54ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ944ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ1181−51+5−1+5−1+5−1−5−1−50000000000000000−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118000000000000000000000000000000000000000000000000000000000000000
χ1238-8-888-8-400−2−25−2+2544-42+252−252+25−2−252−25−2+250-442+252−25−2−25−2+2500001+51−50000−1−5−1+5−1−51+5−1+51−5000000001+5−1−51−5−1+500000000000000000000000000000000000000000000000000000000000000000000000
χ1248-8-888-8-400−2+25−2−2544-42−252+252−25−2+252+25−2−250-442−252+25−2+25−2−2500001−51+50000−1+5−1−5−1+51−5−1−51+5000000001−5−1+51+5−1−500000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-88-400−2−25−2+2544-42+252−252+25−2−252−25−2+2504-4−2−25−2+252+252−2500001+51−50000−1−5−1+5−1−51+5−1+51−500000000−1−51+5−1+51−500000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-88-400−2+25−2−2544-42−252+252−25−2+252+25−2−2504-4−2+25−2−252−252+2500001−51+50000−1+5−1−5−1+51−5−1−51+500000000−1+51−5−1−51+500000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.