Finite Group Databasebeta

← Group #14306001

Character table — Group #14306001

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222244444444444444444455558888888888888888888888881010101010101010101016161616161616161616161620202020202030303030303030303030303030303030404040404040120120120120
order12223444444666510101012121212121215153030303030304444246612122020202020206060606060606060606060602244441212121210102020303030306060606066121212124444444444444444246612128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1ii−i−i
χ611111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1−i−iii
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111111−i−iii
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111111ii−i−i
χ911111-1-1-1-1111111111-1-1-1-1111111111111111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-1111-11-1
χ1011111-1-1-1-1111111111-1-1-1-1111111111111111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-111-11-11
χ1111111-1-1-1-1111111111-1-1-1-111111111111111-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-1-11-11
χ1211111-1-1-1-1111111111-1-1-1-111111111111111-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-11-11-1
χ1311111-1-1-1-1111111111-1-1-1-11111111111-1-1-1-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-111-1-1i−i−ii
χ1411111-1-1-1-1111111111-1-1-1-11111111111-1-1-1-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-111-1-1−iii−i
χ1511111-1-1-1-1111111111-1-1-1-11111111111-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11111iiii−i−i−i−i−i−i−i−iiiii-11-1-111−iii−i
χ1611111-1-1-1-1111111111-1-1-1-11111111111-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11111−i−i−i−iiiiiiiii−i−i−i−i-11-1-111i−i−ii
χ172222222-2-2-2-2222222222-2-2-2-222222222222200000022-2-2-2-22222-2-2-2-2-2-2-2-2-2-222-2-22222000000000000-2-222-2-200000000000000000000000000
χ182222222-2-2-2-2222222222-2-2-2-222222222-2-2-2-200000022-2-2-2-22222-2-2-2-2-2-2-2-222-2-222-2-2-2-200000000000022-2-22200000000000000000000000000
χ1922222-2-222-2-22222222-2-222-2-2222222222222000000-2-222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222222000000000000-2-2-2-22200000000000000000000000000
χ2022222-2-222-2-22222222-2-222-2-222222222-2-2-2-2000000-2-222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-20000000000002222-2-200000000000000000000000000
χ212222-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-1-1-10000
χ222222-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-2-2-2-211111111-1-1-1-1-1-10000000000000000-2-211110000
χ232222-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211112222-1-1-1-1-1-1-1-11111110000000000000000-2-211110000
χ242222-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-2-2-2-211111111111111000000000000000022-1-1-1-10000
χ252222-122-2-2-2-2-1-1-12222-1-11111-1-1-1-1-1-1-1-1222200−i3i3−i3i322-2-2-2-2-1-1-1-111111111-2-222-2-2-1-1-1-10000−i3−i3i3i3−i3−i3i3i311-1-111000000000000000000−i3i3−i3i30000
χ262222-122-2-2-2-2-1-1-12222-1-11111-1-1-1-1-1-1-1-1222200i3−i3i3−i322-2-2-2-2-1-1-1-111111111-2-222-2-2-1-1-1-10000i3i3−i3−i3i3i3−i3−i311-1-111000000000000000000i3−i3i3−i30000
χ272222-122-2-2-2-2-1-1-12222-1-11111-1-1-1-1-1-1-1-1-2-2-2-200−i3i3−i3i322-2-2-2-2-1-1-1-11111111122-2-22211110000−i3−i3i3i3−i3−i3i3i3-1-111-1-1000000000000000000i3−i3i3−i30000
χ282222-122-2-2-2-2-1-1-12222-1-11111-1-1-1-1-1-1-1-1-2-2-2-200i3−i3i3−i322-2-2-2-2-1-1-1-11111111122-2-22211110000i3i3−i3−i3i3i3−i3−i3-1-111-1-1000000000000000000−i3i3−i3i30000
χ292222-1-2-222-2-2-1-1-1222211-1-111-1-1-1-1-1-1-1-1222200−i3i3i3−i3-2-222-2-21111-1-1-1-11111-2-2-2-222-1-1-1-10000−i3−i3i3i3i3i3−i3−i31111-1-1000000000000000000i3−i3−i3i30000
χ302222-1-2-222-2-2-1-1-1222211-1-111-1-1-1-1-1-1-1-1222200i3−i3−i3i3-2-222-2-21111-1-1-1-11111-2-2-2-222-1-1-1-10000i3i3−i3−i3−i3−i3i3i31111-1-1000000000000000000−i3i3i3−i30000
χ312222-1-2-222-2-2-1-1-1222211-1-111-1-1-1-1-1-1-1-1-2-2-2-200−i3i3i3−i3-2-222-2-21111-1-1-1-111112222-2-211110000−i3−i3i3i3i3i3−i3−i3-1-1-1-111000000000000000000−i3i3i3−i30000
χ322222-1-2-222-2-2-1-1-1222211-1-111-1-1-1-1-1-1-1-1-2-2-2-200i3−i3−i3i3-2-222-2-21111-1-1-1-111112222-2-211110000i3i3−i3−i3−i3−i3i3i3-1-1-1-111000000000000000000i3−i3−i3i30000
χ332222-1-2-2-2-222-1-1-122221111-1-1-1-1-1-1-1-1-1-122222-2-1-111-2-2-2-22211111111-1-1-1-122-2-2-2-2-1-1-1-122-2-2-1-1-1-11111-1-111110000000000000000-2211-1-10000
χ342222-1-2-2-2-222-1-1-122221111-1-1-1-1-1-1-1-1-1-12222-2211-1-1-2-2-2-22211111111-1-1-1-122-2-2-2-2-1-1-1-1-2-2221111-1-1-1-1-1-1111100000000000000002-2-1-1110000
χ352222-1-2-2-2-222-1-1-122221111-1-1-1-1-1-1-1-1-1-1-2-2-2-22-2-1-111-2-2-2-22211111111-1-1-1-1-2-22222111122-2-2-1-1-1-1111111-1-1-1-100000000000000002-2-1-1110000
χ362222-1-2-2-2-222-1-1-122221111-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2211-1-1-2-2-2-22211111111-1-1-1-1-2-222221111-2-2221111-1-1-1-111-1-1-1-10000000000000000-2211-1-10000
χ3722-2-22002i−2i002-2-222-2-2002i−2i002222-2-2-2-22i−2i2i−2i000000002i−2i0000002i2i−2i−2i000000002-22i2i−2i−2i00000000000000002-21+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i0000000000
χ3822-2-22002i−2i002-2-222-2-2002i−2i002222-2-2-2-22i−2i2i−2i000000002i−2i0000002i2i−2i−2i000000002-22i2i−2i−2i00000000000000002-2−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000
χ3922-2-22002i−2i002-2-222-2-2002i−2i002222-2-2-2-2−2i2i−2i2i000000002i−2i0000002i2i−2i−2i00000000-22−2i−2i2i2i0000000000000000-221−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i0000000000
χ4022-2-22002i−2i002-2-222-2-2002i−2i002222-2-2-2-2−2i2i−2i2i000000002i−2i0000002i2i−2i−2i00000000-22−2i−2i2i2i0000000000000000-22−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i0000000000
χ4122-2-2200−2i2i002-2-222-2-200−2i2i002222-2-2-2-22i−2i2i−2i00000000−2i2i000000−2i−2i2i2i00000000-222i2i−2i−2i0000000000000000-221+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i0000000000
χ4222-2-2200−2i2i002-2-222-2-200−2i2i002222-2-2-2-22i−2i2i−2i00000000−2i2i000000−2i−2i2i2i00000000-222i2i−2i−2i0000000000000000-22−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i0000000000
χ4322-2-2200−2i2i002-2-222-2-200−2i2i002222-2-2-2-2−2i2i−2i2i00000000−2i2i000000−2i−2i2i2i000000002-2−2i−2i2i2i00000000000000002-21−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000
χ4422-2-2200−2i2i002-2-222-2-200−2i2i002222-2-2-2-2−2i2i−2i2i00000000−2i2i000000−2i−2i2i2i000000002-2−2i−2i2i2i00000000000000002-2−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000
χ452-22-222i−2i0000-22-22-22-22i−2i000022-2-222-2-22i−2i−2i2i0000002i−2i00002i2i−2i−2i00000000002-2002i−2i2i−2i000000000000002-2001−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ462-22-222i−2i0000-22-22-22-22i−2i000022-2-222-2-22i−2i−2i2i0000002i−2i00002i2i−2i−2i00000000002-2002i−2i2i−2i000000000000002-200−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ472-22-222i−2i0000-22-22-22-22i−2i000022-2-222-2-2−2i2i2i−2i0000002i−2i00002i2i−2i−2i0000000000-2200−2i2i−2i2i00000000000000-22001+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i0000000000
χ482-22-222i−2i0000-22-22-22-22i−2i000022-2-222-2-2−2i2i2i−2i0000002i−2i00002i2i−2i−2i0000000000-2200−2i2i−2i2i00000000000000-2200−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i0000000000
χ492-22-22−2i2i0000-22-22-22-2−2i2i000022-2-222-2-22i−2i−2i2i000000−2i2i0000−2i−2i2i2i0000000000-22002i−2i2i−2i00000000000000-22001−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i0000000000
χ502-22-22−2i2i0000-22-22-22-2−2i2i000022-2-222-2-22i−2i−2i2i000000−2i2i0000−2i−2i2i2i0000000000-22002i−2i2i−2i00000000000000-2200−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i0000000000
χ512-22-22−2i2i0000-22-22-22-2−2i2i000022-2-222-2-2−2i2i2i−2i000000−2i2i0000−2i−2i2i2i00000000002-200−2i2i−2i2i000000000000002-2001+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ522-22-22−2i2i0000-22-22-22-2−2i2i000022-2-222-2-2−2i2i2i−2i000000−2i2i0000−2i−2i2i2i00000000002-200−2i2i−2i2i000000000000002-200−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ532-2-22200002-2-2-222-2-2200002-222-2-2-2-22222-2-200000000002-20000000022-2-22-200002-2-220000000000002-2000000002i−2i−2i2i0000−2i2i2i−2i0000000000
χ542-2-22200002-2-2-222-2-2200002-222-2-2-2-22222-2-200000000002-20000000022-2-22-200002-2-220000000000002-200000000−2i2i2i−2i00002i−2i−2i2i0000000000
χ552-2-22200002-2-2-222-2-2200002-222-2-2-2-222-2-22200000000002-20000000022-2-2-220000-222-2000000000000-22000000002-2-2200002-2-220000000000
χ562-2-22200002-2-2-222-2-2200002-222-2-2-2-222-2-22200000000002-20000000022-2-2-220000-222-2000000000000-2200000000-222-20000-222-20000000000
χ572-2-2220000-22-2-222-2-220000-2222-2-2-2-22222-2-20000000000-2200000000-2-222-2200002-2-22000000000000-2200002i−2i−2i2i0000−2i2i2i−2i00000000000000
χ582-2-2220000-22-2-222-2-220000-2222-2-2-2-22222-2-20000000000-2200000000-2-222-2200002-2-22000000000000-220000−2i2i2i−2i00002i−2i−2i2i00000000000000
χ592-2-2220000-22-2-222-2-220000-2222-2-2-2-222-2-2220000000000-2200000000-2-2222-20000-222-20000000000002-200002-2-2200002-2-2200000000000000
χ602-2-2220000-22-2-222-2-220000-2222-2-2-2-222-2-2220000000000-2200000000-2-2222-20000-222-20000000000002-20000-222-20000-222-200000000000000
χ6144444444444444-1-1-1-1444444-1-1-1-1-1-1-1-10000444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ6244444444444444-1-1-1-1444444-1-1-1-1-1-1-1-10000-4-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000011111111111100000000000000000000000000000000
χ634444444-4-4-4-4444-1-1-1-144-4-4-4-4-1-1-1-1-1-1-1-10000000000-1-11111-1-1-1-1111111110000000000−55−55−55−55−55−5500000000000000000000000000000000
χ644444444-4-4-4-4444-1-1-1-144-4-4-4-4-1-1-1-1-1-1-1-10000000000-1-11111-1-1-1-11111111100000000005−55−55−55−55−55−500000000000000000000000000000000
χ6544444-4-444-4-4444-1-1-1-1-4-444-4-4-1-1-1-1-1-1-1-1000000000011-1-1111111-1-1-1-111110000000000−555−5−55−555−55−500000000000000000000000000000000
χ6644444-4-444-4-4444-1-1-1-1-4-444-4-4-1-1-1-1-1-1-1-1000000000011-1-1111111-1-1-1-1111100000000005−5−555−55−5−55−5500000000000000000000000000000000
χ6744444-4-4-4-444444-1-1-1-1-4-4-4-444-1-1-1-1-1-1-1-100004-444-4-41111-1-111111111-1-1-1-10000000000-1-111-1-1-1-1111100000000000000000000000000000000
χ6844444-4-4-4-444444-1-1-1-1-4-4-4-444-1-1-1-1-1-1-1-10000-44-4-4441111-1-111111111-1-1-1-1000000000011-1-11111-1-1-1-100000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.