Finite Group Databasebeta

← Group #14513510

Character table — Group #14513510

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size111111112222222222222222666688888888101010101212121212121212121212121212121212121212121212121212121216161616161616161616161616161616242424242424242424244040404040404040606060606060120120
order1222444455101010101010202020202020202022443666121212124444888810101010202020204040404040404040404040404040404015153030303030306060606060606060241010101020202020121212121212121244888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11-111-1-11-1
χ61111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-11-1-1-111-11
χ71111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-11-1-111-11
χ81111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1111-1-11-1
χ92222222222222222222222222222-1-1-1-1-1-1-1-122220000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-122000000
χ102222222222222222222222222222-1-1-1-1-1-1-1-1-2-2-2-20000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000011111111-2-2000000
χ1122222222−1−52−1+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+5222222222222200002222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+520000000000000000
χ1222222222−1−52−1+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+522222222222220000-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000000000000
χ1322222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222222222200002222−1+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+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−520000000000000000
χ1422222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222222222220000-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+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+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000000000000
χ152222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222-1-1-1-1111122-2-20000-2-2-2-222220000000000000000-1-1-1-1-1-1-1-1111111110000000000-1-1-1-111112-2000000
χ162222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222-1-1-1-11111-2-2220000-2-2-2-222220000000000000000-1-1-1-1-1-1-1-11111111100000000001111-1-1-1-1-22000000
χ172222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2222222-2-2-2-2000022-2-21+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+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+521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ182222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2222222-2-2-2-20000-2-2221+521+521−521−52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ192222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2222222-2-2-2-2000022-2-21−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ202222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2222222-2-2-2-20000-2-2221−521−521+521+52−1+52−1−52−1+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+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ2122-2-22i2i−2i−2i222-22-2-2-22i2i−2i−2i2i2i−2i−2i0000-111-1ii−i−i2-22i−2i−i2i22−200000000−i2−i2i2i2−i2−i2i2i222−2−222−2−2-1-11-11-111ii−i−iii−i−i000000000011-1-1ii−i−i00−i2i22−200
χ2222-2-22i2i−2i−2i222-22-2-2-22i2i−2i−2i2i2i−2i−2i0000-111-1ii−i−i2-22i−2ii2−i2−2200000000i2i2−i2−i2i2i2−i2−i2−2−222−2−222-1-11-11-111ii−i−iii−i−i000000000011-1-1ii−i−i00i2−i2−2200
χ2322-2-22i2i−2i−2i222-22-2-2-22i2i−2i−2i2i2i−2i−2i0000-111-1ii−i−i-22−2i2i−i2i22−200000000−i2−i2i2i2−i2−i2i2i222−2−222−2−2-1-11-11-111ii−i−iii−i−i0000000000-1-111−i−iii00i2−i2−2200
χ2422-2-22i2i−2i−2i222-22-2-2-22i2i−2i−2i2i2i−2i−2i0000-111-1ii−i−i-22−2i2ii2−i2−2200000000i2i2−i2−i2i2i2−i2−i2−2−222−2−222-1-11-11-111ii−i−iii−i−i0000000000-1-111−i−iii00−i2i22−200
χ2522-2-2−2i−2i2i2i222-22-2-2-2−2i−2i2i2i−2i−2i2i2i0000-111-1−i−iii2-2−2i2i−i2i2−2200000000−i2−i2i2i2−i2−i2i2i2−2−222−2−222-1-11-11-111−i−iii−i−iii000000000011-1-1−i−iii00−i2i2−2200
χ2622-2-2−2i−2i2i2i222-22-2-2-2−2i−2i2i2i−2i−2i2i2i0000-111-1−i−iii2-2−2i2ii2−i22−200000000i2i2−i2−i2i2i2−i2−i222−2−222−2−2-1-11-11-111−i−iii−i−iii000000000011-1-1−i−iii00i2−i22−200
χ2722-2-2−2i−2i2i2i222-22-2-2-2−2i−2i2i2i−2i−2i2i2i0000-111-1−i−iii-222i−2i−i2i2−2200000000−i2−i2i2i2−i2−i2i2i2−2−222−2−222-1-11-11-111−i−iii−i−iii0000000000-1-111ii−i−i00i2−i22−200
χ2822-2-2−2i−2i2i2i222-22-2-2-2−2i−2i2i2i−2i−2i2i2i0000-111-1−i−iii-222i−2ii2−i22−200000000i2i2−i2−i2i2i2−i2−i222−2−222−2−2-1-11-11-111−i−iii−i−iii0000000000-1-111ii−i−i00−i2i2−2200
χ292-2-222-22-222-2-2-2-2222-22-22-22-22-2-2222-2-22-22-2000000002-22-2-2-222000000000000000022-2-2-2-2222-22-22-22-200000000000000000000000000
χ302-2-222-22-222-2-2-2-2222-22-22-22-22-2-22-1-111-11-11000000002-22-2-2-2220000000000000000-1-11111-1-1-11-11-11-1100000000003−33−33−33−300000000
χ312-2-222-22-222-2-2-2-2222-22-22-22-22-2-22-1-111-11-11000000002-22-2-2-2220000000000000000-1-11111-1-1-11-11-11-110000000000−33−33−33−3300000000
χ322-2-222-22-2−1−52−1+521+521+521−521−52−1−52−1+52−1−521+52−1−521+52−1+521−52−1+521−522-2-2222-2-22-22-200000000−1−521+52−1+521−521+521−52−1−52−1+52−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−1−52−1+521+521+521−521−52−1−52−1+52−1−521+52−1−521+52−1+521−52−1+521−5200−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1160000000000000000
χ332-2-222-22-2−1−52−1+521+521+521−521−52−1−52−1+52−1−521+52−1−521+52−1+521−52−1+521−522-2-2222-2-22-22-200000000−1−521+52−1+521−521+521−52−1−52−1+52ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−1−52−1+521+521+521−521−52−1−52−1+52−1−521+52−1−521+52−1+521−52−1+521−5200ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160000000000000000
χ342-2-222-22-2−1+52−1−521−521−521+521+52−1+52−1−52−1+521−52−1+521−52−1−521+52−1−521+522-2-2222-2-22-22-200000000−1+521−52−1−521+521−521+52−1+52−1−52ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−1+52−1−521−521−521+521+52−1+52−1−52−1+521−52−1+521−52−1−521+52−1−521+5200ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ920000000000000000
χ352-2-222-22-2−1+52−1−521−521−521+521+52−1+52−1−52−1+521−52−1+521−52−1−521+52−1−521+522-2-2222-2-22-22-200000000−1+521−52−1−521+521−521+52−1+52−1−52−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−1+52−1−521−521−521+521+52−1+52−1−52−1+521−52−1+521−52−1−521+52−1−521+5200−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920000000000000000
χ362-2-22-22-2222-2-2-2-222-22-22-22-22-22-2222-2-2-22-2200000000-22-22-2-222000000000000000022-2-2-2-222-22-22-22-2200000000000000000000000000
χ372-2-22-22-2222-2-2-2-222-22-22-22-22-22-22-1-1111-11-100000000-22-22-2-2220000000000000000-1-11111-1-11-11-11-11-100000000003−33−3−33−3300000000
χ382-2-22-22-2222-2-2-2-222-22-22-22-22-22-22-1-1111-11-100000000-22-22-2-2220000000000000000-1-11111-1-11-11-11-11-10000000000−33−333−33−300000000
χ392-2-22-22-22−1−52−1+521+521+521−521−52−1−52−1+521+52−1−521+52−1−521−52−1+521−52−1+52-22-2222-2-2-22-22000000001+52−1−521−52−1+521+521−52−1−52−1+52−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−1−52−1+521+521+521−521−52−1−52−1+521+52−1−521+52−1−521−52−1+521−52−1+5200−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160000000000000000
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χ1088-88-88i−8i−8i8i−2+25−2−252−25−2+252+25−2−252−252+25−4ζ14−4ζ46−4ζ86−4ζ944ζ14+4ζ46+4ζ86+4ζ944ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ94−4ζ22−4ζ38−4ζ62−4ζ1184ζ22+4ζ38+4ζ62+4ζ1184ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ11800002-22-2−2i2i2i−2i00000000000000000000000000000000−1+52−1−52−1+521−52−1−521+521−521+52ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ11800000000000000000000000000
χ1098-88-8−8i8i8i−8i−2−25−2+252+25−2−252−25−2+252+252−254ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ118−4ζ22−4ζ38−4ζ62−4ζ1184ζ22+4ζ38+4ζ62+4ζ1184ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ94−4ζ14−4ζ46−4ζ86−4ζ944ζ14+4ζ46+4ζ86+4ζ9400002-22-22i−2i−2i2i00000000000000000000000000000000−1−52−1+52−1−521+52−1+521−521+521−52−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ9400000000000000000000000000
χ1108-88-8−8i8i8i−8i−2+25−2−252−25−2+252+25−2−252−252+254ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ94−4ζ14−4ζ46−4ζ86−4ζ944ζ14+4ζ46+4ζ86+4ζ944ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ118−4ζ22−4ζ38−4ζ62−4ζ1184ζ22+4ζ38+4ζ62+4ζ11800002-22-22i−2i−2i2i00000000000000000000000000000000−1+52−1−52−1+521−52−1−521+521−521+52−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ11800000000000000000000000000

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