Finite Group Databasebeta

← Group #14285749

Character table — Group #14285749

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222224444444444444444444444555566666666888888888888888810101010101010101010121212121212121212121212121212122020202020203030303030303030404040404040404040404040120120120120
order122234444446665101010121212121212202020202020202020202020444488888888153030306060606060606060606060602244441212121240404040404040404040404040404040661212121288888888888824242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iii−i−i
χ6111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−iii
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−iiiii−i−i−i−i−i−iii
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii−i−i−i−iiiiiii−i−i
χ911111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-111-1-111-1-11-11-1
χ1011111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-111-1-111-11-11
χ1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111-11-111-1-111-1-1-11-11
χ1211111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-11-11-1-111-1-1111-11-1
χ1311111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111i−i−iiii−i−i−i−iiii−i−ii
χ1411111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111−iii−i−i−iiiii−i−i−iii−i
χ1511111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1i−i−iiii−i−i−i−iii−iii−i
χ1611111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1−iii−i−i−iiiii−i−ii−i−ii
χ172222222-2-2-2-22222222-2-222-2-22222-2-2-2-2-2-2-2-22222000000002222-2-2-2-22222-2-2-2-222-2-2-2-22222000000000000000022-2-2-2-2000000000000000000000000
χ182222222-2-2-2-22222222-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-20000000000000000-2-22222000000000000000000000000
χ1922222-2-222-2-22222222-2-2-2-222-2-2-2-22222-2-2-2-22222000000002222-2-2-2-2-2-2-2-22222-2-2-2-22222220000000000000000-2-2-2-222000000000000000000000000
χ2022222-2-222-2-22222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-2000000002222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-200000000000000002222-2-2000000000000000000000000
χ212222-1222222-1-1-12222-1-1-1-1-1-1222222222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-10000000000000000-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-10000
χ222222-1222222-1-1-12222-1-1-1-1-1-1222222222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-10000000000000000-1-1-1-1-1-100000000-2-2-2-2111111110000
χ232222-1222222-1-1-12222-1-1-1-1-1-1222222222222-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211110000000000000000111111000000002i2i−2i−2i−i−i−i−iiiii0000
χ242222-1222222-1-1-12222-1-1-1-1-1-1222222222222-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111000000000000000011111100000000−2i−2i2i2iiiii−i−i−i−i0000
χ252222-122-2-2-2-2-1-1-1222211-1-1112222-2-2-2-2-2-2-2-2222200000000-1-1-1-11111-1-1-1-1111122-2-2-2-2-1-1-1-10000000000000000-1-11111000000000000−i3i3−i3i3−i3i3−i3i30000
χ262222-122-2-2-2-2-1-1-1222211-1-1112222-2-2-2-2-2-2-2-2222200000000-1-1-1-11111-1-1-1-1111122-2-2-2-2-1-1-1-10000000000000000-1-11111000000000000i3−i3i3−i3i3−i3i3−i30000
χ272222-122-2-2-2-2-1-1-1222211-1-1112222-2-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-11111-1-1-1-11111-2-222221111000000000000000011-1-1-1-10000000000003−33−3−33−330000
χ282222-122-2-2-2-2-1-1-1222211-1-1112222-2-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-11111-1-1-1-11111-2-222221111000000000000000011-1-1-1-1000000000000−33−333−33−30000
χ292222-1-2-222-2-2-1-1-122221111-1-1-2-2-2-22222-2-2-2-2222200000000-1-1-1-111111111-1-1-1-1-2-2-2-222-1-1-1-100000000000000001111-1-1000000000000−i3i3i3−i3−i3i3i3−i30000
χ302222-1-2-222-2-2-1-1-122221111-1-1-2-2-2-22222-2-2-2-2222200000000-1-1-1-111111111-1-1-1-1-2-2-2-222-1-1-1-100000000000000001111-1-1000000000000i3−i3−i3i3i3−i3−i3i30000
χ312222-1-2-222-2-2-1-1-122221111-1-1-2-2-2-22222-2-2-2-2-2-2-2-200000000-1-1-1-111111111-1-1-1-12222-2-211110000000000000000-1-1-1-1110000000000003−3−33−333−30000
χ322222-1-2-222-2-2-1-1-122221111-1-1-2-2-2-22222-2-2-2-2-2-2-2-200000000-1-1-1-111111111-1-1-1-12222-2-211110000000000000000-1-1-1-111000000000000−333−33−3−330000
χ332222-1-2-2-2-222-1-1-12222-1-11111-2-2-2-2-2-2-2-22222222200000000-1-1-1-1-1-1-1-111111111-2-222-2-2-1-1-1-1000000000000000011-1-111000000002-22-2-1-111-1-1110000
χ342222-1-2-2-2-222-1-1-12222-1-11111-2-2-2-2-2-2-2-22222222200000000-1-1-1-1-1-1-1-111111111-2-222-2-2-1-1-1-1000000000000000011-1-11100000000-22-2211-1-111-1-10000
χ352222-1-2-2-2-222-1-1-12222-1-11111-2-2-2-2-2-2-2-22222-2-2-2-200000000-1-1-1-1-1-1-1-11111111122-2-22211110000000000000000-1-111-1-1000000002i−2i−2i2i−i−iiiii−i−i0000
χ362222-1-2-2-2-222-1-1-12222-1-11111-2-2-2-2-2-2-2-22222-2-2-2-200000000-1-1-1-1-1-1-1-11111111122-2-22211110000000000000000-1-111-1-100000000−2i2i2i−2iii−i−i−i−iii0000
χ3722-2-22002i−2i002-2-222-2-200002i−2i00002i2i−2i−2i000022-2-222−2−2−i2−i2i2i222-2-2000000002i2i−2i−2i00002i−2i22-2-22222−2−2−2−2−i2−i2−i2−i2i2i2i2i200002i−2i22−2−2−i2−i2i2i20000000000000000
χ3822-2-22002i−2i002-2-222-2-200002i−2i00002i2i−2i−2i000022-2-2−2−222i2i2−i2−i222-2-2000000002i2i−2i−2i00002i−2i22-2-2−2−2−2−22222i2i2i2i2−i2−i2−i2−i200002i−2i−2−222i2i2−i2−i20000000000000000
χ3922-2-22002i−2i002-2-222-2-200002i−2i00002i2i−2i−2i0000-2-22222−2−2−i2−i2i2i222-2-2000000002i2i−2i−2i0000−2i2i-2-2222222−2−2−2−2−i2−i2−i2−i2i2i2i2i20000−2i2i−2−222i2i2−i2−i20000000000000000
χ4022-2-22002i−2i002-2-222-2-200002i−2i00002i2i−2i−2i0000-2-222−2−222i2i2−i2−i222-2-2000000002i2i−2i−2i0000−2i2i-2-222−2−2−2−22222i2i2i2i2−i2−i2−i2−i20000−2i2i22−2−2−i2−i2i2i20000000000000000
χ4122-2-2200−2i2i002-2-222-2-20000−2i2i0000−2i−2i2i2i000022-2-222−2−2i2i2−i2−i222-2-200000000−2i−2i2i2i0000−2i2i22-2-22222−2−2−2−2i2i2i2i2−i2−i2−i2−i20000−2i2i22−2−2i2i2−i2−i20000000000000000
χ4222-2-2200−2i2i002-2-222-2-20000−2i2i0000−2i−2i2i2i000022-2-2−2−222−i2−i2i2i222-2-200000000−2i−2i2i2i0000−2i2i22-2-2−2−2−2−22222−i2−i2−i2−i2i2i2i2i20000−2i2i−2−222−i2−i2i2i20000000000000000
χ4322-2-2200−2i2i002-2-222-2-20000−2i2i0000−2i−2i2i2i0000-2-22222−2−2i2i2−i2−i222-2-200000000−2i−2i2i2i00002i−2i-2-2222222−2−2−2−2i2i2i2i2−i2−i2−i2−i200002i−2i−2−222−i2−i2i2i20000000000000000
χ4422-2-2200−2i2i002-2-222-2-20000−2i2i0000−2i−2i2i2i0000-2-222−2−222−i2−i2i2i222-2-200000000−2i−2i2i2i00002i−2i-2-222−2−2−2−22222−i2−i2−i2−i2i2i2i2i200002i−2i22−2−2i2i2−i2−i20000000000000000
χ452-22-2200002-2-22-22-22-22-200000000000022-2-22i−2i2i−2i00002-22-22-22-222-2-200000000002i−2i002i−2i2i−2i0000000022-2-222-2-2002i−2i0000002i−2i2i−2i0000000000000000
χ462-22-2200002-2-22-22-22-22-200000000000022-2-22i−2i2i−2i0000-22-222-22-222-2-200000000002i−2i002i−2i2i−2i00000000-2-222-2-222002i−2i000000−2i2i−2i2i0000000000000000
χ472-22-2200002-2-22-22-22-22-200000000000022-2-2−2i2i−2i2i00002-22-22-22-222-2-20000000000−2i2i00−2i2i−2i2i0000000022-2-222-2-200−2i2i000000−2i2i−2i2i0000000000000000
χ482-22-2200002-2-22-22-22-22-200000000000022-2-2−2i2i−2i2i0000-22-222-22-222-2-20000000000−2i2i00−2i2i−2i2i00000000-2-222-2-22200−2i2i0000002i−2i2i−2i0000000000000000
χ492-22-220000-22-22-22-22-2-22000000000000-2-2222i−2i2i−2i2-22-200002-22-2-2-2220000000000−2i2i002i−2i2i−2i22-2-222-2-20000000000−2i2i002i−2i2i−2i00000000000000000000
χ502-22-220000-22-22-22-22-2-22000000000000-2-2222i−2i2i−2i-22-2200002-22-2-2-2220000000000−2i2i002i−2i2i−2i-2-222-2-2220000000000−2i2i00−2i2i−2i2i00000000000000000000
χ512-22-220000-22-22-22-22-2-22000000000000-2-222−2i2i−2i2i2-22-200002-22-2-2-22200000000002i−2i00−2i2i−2i2i22-2-222-2-200000000002i−2i00−2i2i−2i2i00000000000000000000
χ522-22-220000-22-22-22-22-2-22000000000000-2-222−2i2i−2i2i-22-2200002-22-2-2-22200000000002i−2i00−2i2i−2i2i-2-222-2-22200000000002i−2i002i−2i2i−2i00000000000000000000
χ532-2-2222i−2i0000-2-222-2-22002i−2i002i2i−2i−2i000000002i−2i−2i2i2−2−22−i2i2i2−i22-2-2200002i2i−2i−2i00002-200002i−2i−2i2i22−2−2−2−222−i2−i2i2i2i2i2−i2−i22-20000i2−i2−i2i22−2−220000000000000000
χ542-2-2222i−2i0000-2-222-2-22002i−2i002i2i−2i−2i000000002i−2i−2i2i−222−2i2−i2−i2i22-2-2200002i2i−2i−2i00002-200002i−2i−2i2i−2−22222−2−2i2i2−i2−i2−i2−i2i2i22-20000−i2i2i2−i2−222−20000000000000000
χ552-2-2222i−2i0000-2-222-2-22002i−2i002i2i−2i−2i00000000−2i2i2i−2i2−2−22−i2i2i2−i22-2-2200002i2i−2i−2i0000-220000−2i2i2i−2i22−2−2−2−222−i2−i2i2i2i2i2−i2−i2-220000−i2i2i2−i2−222−20000000000000000
χ562-2-2222i−2i0000-2-222-2-22002i−2i002i2i−2i−2i00000000−2i2i2i−2i−222−2i2−i2−i2i22-2-2200002i2i−2i−2i0000-220000−2i2i2i−2i−2−22222−2−2i2i2−i2−i2−i2−i2i2i2-220000i2−i2−i2i22−2−220000000000000000
χ572-2-222−2i2i0000-2-222-2-2200−2i2i00−2i−2i2i2i000000002i−2i−2i2i2−2−22i2−i2−i2i22-2-220000−2i−2i2i2i0000-2200002i−2i−2i2i22−2−2−2−222i2i2−i2−i2−i2−i2i2i2-220000i2−i2−i2i2−222−20000000000000000
χ582-2-222−2i2i0000-2-222-2-2200−2i2i00−2i−2i2i2i000000002i−2i−2i2i−222−2−i2i2i2−i22-2-220000−2i−2i2i2i0000-2200002i−2i−2i2i−2−22222−2−2−i2−i2i2i2i2i2−i2−i2-220000−i2i2i2−i22−2−220000000000000000
χ592-2-222−2i2i0000-2-222-2-2200−2i2i00−2i−2i2i2i00000000−2i2i2i−2i2−2−22i2−i2−i2i22-2-220000−2i−2i2i2i00002-20000−2i2i2i−2i22−2−2−2−222i2i2−i2−i2−i2−i2i2i22-20000−i2i2i2−i22−2−220000000000000000
χ602-2-222−2i2i0000-2-222-2-2200−2i2i00−2i−2i2i2i00000000−2i2i2i−2i−222−2−i2i2i2−i22-2-220000−2i−2i2i2i00002-20000−2i2i2i−2i−2−22222−2−2−i2−i2i2i2i2i2−i2−i22-20000i2−i2−i2i2−222−20000000000000000
χ6144444444444444-1-1-1-1444444-1-1-1-1-1-1-1-1-1-1-1-1000044444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000
χ6244444444444444-1-1-1-1444444-1-1-1-1-1-1-1-1-1-1-1-10000-4-4-4-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000001111111111111111000000000000000000000000000000
χ634444444-4-4-4-4444-1-1-1-1-4-444-4-4-1-1-1-111111111000000000000-1-1-1-11111-1-1-1-111110000000000−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5000000000000000000000000000000
χ644444444-4-4-4-4444-1-1-1-1-4-444-4-4-1-1-1-111111111000000000000-1-1-1-11111-1-1-1-111110000000000i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5000000000000000000000000000000
χ6544444-4-444-4-4444-1-1-1-1-4-4-4-4441111-1-1-1-11111000000000000-1-1-1-111111111-1-1-1-10000000000−i5i5−i5i5−i5i5−i5i5i5−i5i5−i5i5−i5i5−i5000000000000000000000000000000
χ6644444-4-444-4-4444-1-1-1-1-4-4-4-4441111-1-1-1-11111000000000000-1-1-1-111111111-1-1-1-10000000000i5−i5i5−i5i5−i5i5−i5−i5i5−i5i5−i5i5−i5i5000000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.