Finite Group Databasebeta

← Group #14285055

Character table — Group #14285055

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222222444444444444444444444448888888888888888888810101010101010101010121212121616161616161616161616162020202020202024242424242424242424242424242424242440404040404060606060120120
order1222344445566610101010101041212121212121515202020202020202030303030303044121212122020606060606060606060606060224444121212128888202020206060606060606060466121212128840404040404040404040404040404040226666888888
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
χ911111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-111-1-111-1-1-1-1-1-1-1-1111111-1-1111111ii−i−i11-1-11111-1-1-1-1-111-1-1-1-1i−iiiii−i−i−i−iiiii−i−i−i−i1-111-1-1ii−i−ii−i
χ1011111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-111-1-111-1-1-1-1-1-1-1-1111111-1-1111111−i−iii11-1-11111-1-1-1-1-111-1-1-1-1−ii−i−i−i−iiiii−i−i−i−iiiii1-111-1-1−i−iii−ii
χ1111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1ii−i−i11-1-11111-1-1-1-11-1-11111i−iiiii−i−i−i−iiiii−i−i−i−i-11-1-111−i−iii−ii
χ1211111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1−i−iii11-1-11111-1-1-1-11-1-11111−ii−i−i−i−iiiii−i−i−i−iiiii-11-1-111ii−i−ii−i
χ1311111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-1-11111-1-1-1-1-1-1-1-1111111-1-1111111ii−i−i-1-111-1-1-1-11111-111-1-1-1-1−iiiiii−i−i−i−i−i−i−i−iiiii-11-1-111ii−i−i−ii
χ1411111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-1-11111-1-1-1-1-1-1-1-1111111-1-1111111−i−iii-1-111-1-1-1-11111-111-1-1-1-1i−i−i−i−i−iiiiiiiii−i−i−i−i-11-1-111−i−iiii−i
χ1511111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1ii−i−i-1-111-1-1-1-111111-1-11111−iiiiii−i−i−i−i−i−i−i−iiiii1-111-1-1−i−iiii−i
χ1611111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1−i−iii-1-111-1-1-1-111111-1-11111i−i−i−i−i−iiiiiiiii−i−i−i−i1-111-1-1ii−i−i−ii
χ17222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1+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+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+522222222−1−52−1+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+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+522222222−1−52−1+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+52-2-2-2-2-2-2−1−52−1+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+522222222−1−52−1+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+52-2-2-2-2-2-2−1−52−1+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+52−1−522222222−1+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+52−1−52222222−1+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+52−1−522222222−1+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+52−1−52222222−1+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+52−1−522222222−1+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+52−1−52-2-2-2-2-2-2−1+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+52−1−522222222−1+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+52−1−52-2-2-2-2-2-2−1+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
χ25222222-2-2222222222222-222-2-2-2-2222-22-22-22-2222222000000-2-222-2-222-2-2-2-2-2-22222-2-2-2-2-2-20000000000000000-22222-2-2000000000000000000000000000000
χ26222222-2-2222222222222-222-2-2-2-2222-22-22-22-2222222000000-2-222-2-222-2-2-2-2-2-2-2-2-2-222222200000000000000002-2-2-2-222000000000000000000000000000000
χ2722222-222-222222222222-2-2-222-2-222-22-22-22-22222222000000-2-2-2-222-2-222-2-2-2-222-2-2-2-2-2-2-2-20000000000000000222-2-222000000000000000000000000000000
χ2822222-222-222222222222-2-2-222-2-222-22-22-22-22222222000000-2-2-2-222-2-222-2-2-2-2-2-2222222220000000000000000-2-2-222-2-2000000000000000000000000000000
χ2922222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-222−1−52−1+521+521+521−521−521+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+521−521−521−521−52−1−52−1−52−1+52−1+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
χ3022222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-222−1−52−1+521+521+521−521−521+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+521−521−521−521−52−1−52−1−52−1+52−1+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
χ3122222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-222−1−52−1+521+521+521−521−521+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+521−521−521−521−52−1−52−1−52−1+52−1+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
χ3222222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-222−1−52−1+521+521+521−521−521+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+521−521−521−521−52−1−52−1−52−1+52−1+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
χ3322222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-222−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−522-222-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5200000000002i2i−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
χ3422222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-222−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−522-222-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−520000000000−2i−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
χ3522222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-222−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5200000000002i2i−2i−2i1−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000−2i2i−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+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
χ3622222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-222−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−520000000000−2i−2i2i2i1−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000002i−2iζ14+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−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
χ372222-1222222-1-1-12222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-100002222-1-1-1-1-1-1-1-12-1-1-1-1-1-100000000000000000022-1-1-1-1000000
χ382222-1222222-1-1-12222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111100002222-1-1-1-1-1-1-1-1-2111111000000000000000000-2-21111000000
χ392222-1222222-1-1-12222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-2-2111122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-10000-2-2-2-2111111112-1-1-1-1-1-1000000000000000000-2-21111000000
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χ1178-88-8-4800-8−2−25−2+254-442+25−2−252−25−2+252+252−250-4400001+51−5−2−250−2+2502+2502−250−1−51+5−1+51−5−1−5−1+5000000001+5−1−5001−5−1+5000000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.