Finite Group Databasebeta

← Group #14439232

Character table — Group #14439232

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222222244444444444444444444444444888888888888881212121212121212121212121212121212121212161616161616161616161616161620202020202020202020202024243030303040404848484860608080120120
order1222344444455666101010101010121212121212151520202020202020202020202030303030303044606060606060606060606060888840404040404040404040404040404040121220202020606060606060606088882424242424242424222244441010101044121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ5111111111111111111111111111111111111111111111111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-111-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ911111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-111-1-11111-1-1-1-11-111111-111-1-1-1-11-11-1
χ1011111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1111-1-111-11-11
χ1111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111-111-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1-1-1-11-1-1-111111-1-11
χ1211111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111-111-1-11111-1-1-1-1-1-111-1-1-1-11111-111111-11-1-111-1-1-111-1
χ1311111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-11-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-11111-1-1-1-1-111111-11-1-111-1-1-11-11
χ1411111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-11-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-111-1-1-1-11111-11-1-1-1-11-1-1-111111-11-1
χ1511111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-11-1-111-1-1-1-1111111-1-11111-1-1-1-11-1-1-1-1-1-1111-1-111-111-1
χ1611111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-11-1-111-1-1-1-11111-1-111-1-1-1-111111-111111-111-1-1-1-11-1-11
χ1722222222222−1−52−1+52222−1−52−1−52−1+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+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+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+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000022000000−1−52−1+52−1−52−1+52000000
χ1822222222222−1−52−1+52222−1−52−1−52−1+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+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+52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000-2-20000001+521−521+521−52000000
χ1922222222222−1−52−1+52222−1−52−1−52−1+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+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+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+52-2-21+521−521+521−521+521+521−521−521+521+521−521−52000000000000-2-20000001+521−521+521−52000000
χ2022222222222−1−52−1+52222−1−52−1−52−1+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+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+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+521−521−521−521−52-2-21+521−521+521−521+521+521−521−521+521+521−521−5200000000000022000000−1−52−1+52−1−52−1+52000000
χ2122222222222−1+52−1−52222−1+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+52−1−52−1−52−1+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+52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000022000000−1+52−1−52−1+52−1−52000000
χ2222222222222−1+52−1−52222−1+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+52−1−52−1−52−1+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+52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000-2-20000001−521+521−521+52000000
χ2322222222222−1+52−1−52222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52-2-21−521+521−521+521−521−521+521+521−521−521+521+52000000000000-2-20000001−521+521−521+52000000
χ2422222222222−1+52−1−52222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52-2-21−521+521−521+521−521−521+521+521−521−521+521+5200000000000022000000−1+52−1−52−1+52−1−52000000
χ252222222-2-2-2-22222222222222-2-2-2-22222-2-222-2-2-2-2-2-22222220022-2-222-2-2-2-2-2-200000000000000000000000000000000000000000000000022-2-20000002-20000
χ262222222-2-2-2-22222222222222-2-2-2-22222-2-222-2-2-2-2-2-22222220022-2-222-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2-222000000-220000
χ2722222-2-222-2-222222222222-2-222-2-222-2-222-2-222-2-2-2-222222200-2-222-2-222-2-2-2-200000000000000000000000000000000000000000000000022-2-2000000-220000
χ2822222-2-222-2-222222222222-2-222-2-222-2-222-2-222-2-2-2-222222200-2-222-2-222-2-2-2-2000000000000000000000000000000000000000000000000-2-2220000002-20000
χ2922222-2-2-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-21+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000002-2000000−1−52−1+521+521−52000000
χ3022222-2-2-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-21+521+521+521+521−521−521−521−52−1−52−1−52−1+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+522-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000-220000001+521−52−1−52−1+52000000
χ3122222-2-2-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-221+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000-220000001+521−52−1−52−1+52000000
χ3222222-2-2-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-221+521+521+521+521−521−521−521−52−1−52−1−52−1+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+52-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000002-2000000−1−52−1+521+521−52000000
χ3322222-2-2-2-222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521−521−521−521+521+521+521+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+522-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000002-2000000−1+52−1−521−521+52000000
χ3422222-2-2-2-222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521−521−521−521+521+521+521+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+52−1−52−1−52−1−52−1−522-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000-220000001−521+52−1+52−1−52000000
χ3522222-2-2-2-222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-221−521−521−521−521+521+521+521+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+52-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000-220000001−521+52−1+52−1−52000000
χ3622222-2-2-2-222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-221−521−521−521−521+521+521+521+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+52−1−52−1−52−1−52−1−52-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000002-2000000−1+52−1−521−521+52000000
χ372222-122222222-1-1-1222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000022000000-1-100
χ382222-122222222-1-1-1222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111000000-2-20000001100
χ392222-122222222-1-1-1222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000011-2-2-2-2111111112222-1-1-1-1-1-1-1-1000000-2-20000001100
χ402222-122222222-1-1-1222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000011-2-2-2-211111111-2-2-2-21111111100000022000000-1-100
χ412222-1-2-2-2-22222-1-1-12222221111-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-12-211111111-1-1-1-100000000000000000000-1122-2-2-1-1-1-1111122-2-2-1-1-1-111110000002-2000000-1100
χ422222-1-2-2-2-22222-1-1-12222221111-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-12-211111111-1-1-1-100000000000000000000-1122-2-2-1-1-1-11111-2-2221111-1-1-1-1000000-220000001-100
χ432222-1-2-2-2-22222-1-1-12222221111-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-2211111111-1-1-1-1000000000000000000001-1-2-2221111-1-1-1-122-2-2-1-1-1-11111000000-220000001-100
χ442222-1-2-2-2-22222-1-1-12222221111-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-2211111111-1-1-1-1000000000000000000001-1-2-2221111-1-1-1-1-2-2221111-1-1-1-10000002-2000000-1100
χ452-2-22200002-222-2-22-2-2-2-22200002-222000000002-22-2-2-2-2-22200000000002-22-2002-20000000022-2-222-2-200000000000000002-2000022-2-2002-22-2000000000000
χ462-2-22200002-222-2-22-2-2-2-22200002-222000000002-22-2-2-2-2-22200000000002-22-2002-20000000022-2-222-2-20000000000000000-220000-2-22200-22-22000000000000
χ472-2-22200002-222-2-22-2-2-2-22200002-222000000002-22-2-2-2-2-22200000000002-22-200-2200000000-2-222-2-22200000000000000002-2000022-2-200-22-22000000000000
χ482-2-22200002-222-2-22-2-2-2-22200002-222000000002-22-2-2-2-2-22200000000002-22-200-2200000000-2-222-2-2220000000000000000-220000-2-222002-22-2000000000000
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χ1238-8-88-400008-8−2−25−2+2544-42+252+252−252−25−2−25−2+250000-441+51−500000000−2−252+25−2+252−25−1−5−1−5−1+5−1+51+51−500000000001+5−1−51−5−1+50000000000000000000000000000000000000000000000000000000000000000
χ1248-8-88-400008-8−2+25−2−2544-42−252−252+252+25−2+25−2−250000-441−51+500000000−2+252−25−2−252+25−1+5−1+5−1−5−1−51−51+500000000001−5−1+51+5−1−50000000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-40000-88−2−25−2+2544-42+252+252−252−25−2−25−2+2500004-41+51−5000000002+25−2−252−25−2+25−1−5−1−5−1+5−1+51+51−50000000000−1−51+5−1+51−50000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-40000-88−2+25−2−2544-42−252−252+252+25−2+25−2−2500004-41−51+5000000002−25−2+252+25−2−25−1+5−1+5−1−5−1−51−51+50000000000−1+51−5−1−51+50000000000000000000000000000000000000000000000000000000000000000

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