Finite Group Databasebeta

← Group #14307491

Character table — Group #14307491

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222444444444444444444444444444448888888888888888888888888888888888888888881010101010102020202020202020204040404040406060606060606060120120120120
order122222344666666645101010101010101212121215153030303030303030303030303030441212121220202020202020202020202060606060606060606060606060606060606060606060606022224446666121212124412121212444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ5111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i−i−iii
χ8111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiiiii−i−i
χ91111111-1-11111111-111111111-1-1-1-111111111111111111-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-11-1-11111-1-111-1-11-11-1
χ101111111-1-11111111-111111111-1-1-1-111111111111111111-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-11-1-111-1-111-1-111-11-11
χ111111111-1-11111111-111111111-1-1-1-111111111111111111-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-111-1-1ii−i−i−i−iiii−i−ii
χ121111111-1-11111111-111111111-1-1-1-111111111111111111-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-111-1-1−i−iiiii−i−i−iii−i
χ131111111-1-11111111-111111111-1-1-1-11111111111111111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-11-111-1-111-1-111-1-1-11-11
χ141111111-1-11111111-111111111-1-1-1-11111111111111111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-11-111-1-1-1-111-1-1111-11-1
χ151111111-1-11111111-111111111-1-1-1-11111111111111111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-11111-11-1-111ii−i−i−i−iii−iii−i
χ161111111-1-11111111-111111111-1-1-1-11111111111111111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-11111-11-1-111−i−iiiii−i−ii−i−ii
χ17222222-122-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-122-1-1-1-1000000000000
χ18222222-122-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-211111111-2-21111000000000000
χ19222222-122-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222222-1-1-1-1-1-1-1-1-2-21111000000000000
χ20222222-122-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-21111111122-1-1-1-1000000000000
χ21222222-1-2-2-1-1-1-1-1-1-1-2222222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-1-1112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-1-1-1-11111-2211-1-1000000000000
χ22222222-1-2-2-1-1-1-1-1-1-1-2222222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-1-1112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-22221111-1-1-1-12-2-1-111000000000000
χ23222222-1-2-2-1-1-1-1-1-1-1-2222222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2211-1-1-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-12222-2-2-2-1-1-1-111112-2-1-111000000000000
χ24222222-1-2-2-1-1-1-1-1-1-1-2222222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2211-1-1-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-2-2-22221111-1-1-1-1-2211-1-1000000000000
χ252222-2-22222-2-2-2-222-222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-22222000000000022-2-20000000000002222-2-2-2-2000000002-2-22-2-2222-2-222-2-2000000000000000000
χ262222-2-22222-2-2-2-222-222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-22222000000000022-2-20000000000002222-2-2-2-200000000-222-222-2-2-222-2-222000000000000000000
χ272222-2-22-2-22-2-2-2-222222-2-2-2-222-2-2222222-2-2-2-2-2-2-2-222220000000000-2-222000000000000-2-2-2-22222000000002-2-2222-222-2-2-2-222000000000000000000
χ282222-2-22-2-22-2-2-2-222222-2-2-2-222-2-2222222-2-2-2-2-2-2-2-222220000000000-2-222000000000000-2-2-2-2222200000000-222-2-2-22-2-22222-2-2000000000000000000
χ292222-2-2-122-11111-1-1-222-2-2-2-222-1-111-1-1-1-111111111-1-1-1-100−i3i3−i3i3000022-2-20000−i3−i3−i3−i3i3i3i3i3-1-1-1-11111−i3−i3−i3−i3i3i3i3i32-2-22-2-22-1-111-1-11100−i3i3−i3i3000000000000
χ302222-2-2-122-11111-1-1-222-2-2-2-222-1-111-1-1-1-111111111-1-1-1-100−i3i3−i3i3000022-2-20000−i3−i3−i3−i3i3i3i3i3-1-1-1-11111−i3−i3−i3−i3i3i3i3i3-222-222-211-1-111-1-100i3−i3i3−i3000000000000
χ312222-2-2-122-11111-1-1-222-2-2-2-222-1-111-1-1-1-111111111-1-1-1-100i3−i3i3−i3000022-2-20000i3i3i3i3−i3−i3−i3−i3-1-1-1-11111i3i3i3i3−i3−i3−i3−i32-2-22-2-22-1-111-1-11100i3−i3i3−i3000000000000
χ322222-2-2-122-11111-1-1-222-2-2-2-222-1-111-1-1-1-111111111-1-1-1-100i3−i3i3−i3000022-2-20000i3i3i3i3−i3−i3−i3−i3-1-1-1-11111i3i3i3i3−i3−i3−i3−i3-222-222-211-1-111-1-100−i3i3−i3i3000000000000
χ332222-2-2-1-2-2-11111-1-1222-2-2-2-22211-1-1-1-1-1-111111111-1-1-1-100−i3i3i3−i30000-2-2220000−i3−i3−i3−i3i3i3i3i31111-1-1-1-1i3i3i3i3−i3−i3−i3−i32-2-2222-2-1-11111-1-100i3−i3−i3i3000000000000
χ342222-2-2-1-2-2-11111-1-1222-2-2-2-22211-1-1-1-1-1-111111111-1-1-1-100−i3i3i3−i30000-2-2220000−i3−i3−i3−i3i3i3i3i31111-1-1-1-1i3i3i3i3−i3−i3−i3−i3-222-2-2-2211-1-1-1-11100−i3i3i3−i3000000000000
χ352222-2-2-1-2-2-11111-1-1222-2-2-2-22211-1-1-1-1-1-111111111-1-1-1-100i3−i3−i3i30000-2-2220000i3i3i3i3−i3−i3−i3−i31111-1-1-1-1−i3−i3−i3−i3i3i3i3i32-2-2222-2-1-11111-1-100−i3i3i3−i3000000000000
χ362222-2-2-1-2-2-11111-1-1222-2-2-2-22211-1-1-1-1-1-111111111-1-1-1-100i3−i3−i3i30000-2-2220000i3i3i3i3−i3−i3−i3−i31111-1-1-1-1−i3−i3−i3−i3i3i3i3i3-222-2-2-2211-1-1-1-11100i3−i3−i3i3000000000000
χ3722-2-22-2200222-2-2-2-202222-2-2-2-2000022222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000022-2-20002-22-20000000000002-2002-20000
χ3822-2-22-2200222-2-2-2-202222-2-2-2-2000022222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000022-2-20002-22-2000000000000-2200-220000
χ3922-2-22-2200222-2-2-2-202222-2-2-2-2000022222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000-2-222000-22-220000000000002i−2i00−2i2i0000
χ4022-2-22-2200222-2-2-2-202222-2-2-2-2000022222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000-2-222000-22-22000000000000−2i2i002i−2i0000
χ4122-2-2-222002-2-222-2-2022-2-222-2-200002222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000002-22-20002-2-2200000000002-2002-2000000
χ4222-2-2-222002-2-222-2-2022-2-222-2-200002222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000002-22-20002-2-220000000000-2200-22000000
χ4322-2-2-222002-2-222-2-2022-2-222-2-200002222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000-22-22000-222-200000000002i−2i00−2i2i000000
χ4422-2-2-222002-2-222-2-2022-2-222-2-200002222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000-22-22000-222-20000000000−2i2i002i−2i000000
χ4544444444444444444-1-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ4644444444444444444-1-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-4-4-4-41111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111000000000000000000000000000000000
χ474444444-4-44444444-4-1-1-1-1-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-444-4-4-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000000000
χ484444444-4-44444444-4-1-1-1-1-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-44-4-44411111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ49444444-244-2-2-2-2-2-2-24-1-1-1-1-1-1-1-1-2-2-2-21−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521+i1521−i1521+i15244-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152000000000000000000000000000000000
χ50444444-244-2-2-2-2-2-2-24-1-1-1-1-1-1-1-1-2-2-2-21−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521+i1521−i1521+i152-4-422221111-1-1-1-11111−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152000000000000000000000000000000000
χ51444444-244-2-2-2-2-2-2-24-1-1-1-1-1-1-1-1-2-2-2-21+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521−i1521+i1521−i15244-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152000000000000000000000000000000000
χ52444444-244-2-2-2-2-2-2-24-1-1-1-1-1-1-1-1-2-2-2-21+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521−i1521+i1521−i152-4-422221111-1-1-1-11111−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152000000000000000000000000000000000
χ53444444-2-4-4-2-2-2-2-2-2-2-4-1-1-1-1-1-1-1-122221−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521+i1521−i1521+i1524-4-2-222-1-1-1-1111111111−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152000000000000000000000000000000000
χ54444444-2-4-4-2-2-2-2-2-2-2-4-1-1-1-1-1-1-1-122221−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521+i1521−i1521+i152-4422-2-211111111-1-1-1-1−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152000000000000000000000000000000000
χ55444444-2-4-4-2-2-2-2-2-2-2-4-1-1-1-1-1-1-1-122221+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521−i1521+i1521−i1524-4-2-222-1-1-1-1111111111+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152000000000000000000000000000000000
χ56444444-2-4-4-2-2-2-2-2-2-2-4-1-1-1-1-1-1-1-122221+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521−i1521+i1521−i152-4422-2-211111111-1-1-1-1−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152000000000000000000000000000000000
χ574444-4-44444-4-4-4-444-4-1-11111-1-144-4-4-1-1-1-111111111-1-1-1-1000000−5−555-1-111−5−555−5−55555−5−5-1-1-1-11111−5−55555−5−5000000000000000000000000000000000
χ584444-4-44444-4-4-4-444-4-1-11111-1-144-4-4-1-1-1-111111111-1-1-1-100000055−5−5-1-11155−5−555−5−5−5−555-1-1-1-1111155−5−5−5−555000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.