Finite Group Databasebeta

← Group #14425784

Character table — Group #14425784

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size112222222222244444444444444444488888888888888888888888888881010101012121212161616161616161616162020202020202424242424242424242440404040404040404848484860606060120120
order122223556661010246610101010101015153030303030304461010121212121220202020202030303030606060606060606044442244202030306060606060602412121212441010101020202020446121212121220202020224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-111111111-1-11-1-11-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-111
χ71111111111111111111111111111111-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-111-111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111-11111111111-1-1
χ91111111111111-1-111111111111111111-1-1-1-1-1-1-111-1-1111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-111-1-11-1-1-1-1-11111-1-11-11-11-1
χ101111111111111-1-111111111111111111-1-1-1-1-1-1-111-1-111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-1111-1-1-1-1-111-1-111-11-11-11
χ111111111111111-1-111111111111111111-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-1-1-111111-1-111-1-1-11-11-11
χ121111111111111-1-111111111111111111-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-111-1-111-111111-1-1-1-1111-11-11-1
χ131111111111111-1-11111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-11-111-1-11111-1-1-1-11111-1111-1-111-1-1-11-111-1-1-1-1-1111-11-1-11
χ141111111111111-1-11111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1111-1-11111-1-1-1-111111-1-1-111-1-111-11-111-1-1-111-1-1-11-111-1
χ151111111111111-1-11111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-111-1-1-1-1-1111-1-111-1-11-11-1-1111-1-111-11-111-1
χ161111111111111-1-11111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-111-1-1-1-11-1-1-111-1-1111-11-1-111111-1-11-11-1-11
χ17222222−1−52−1+52222−1−52−1+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+52222−1−52−1+5222222−1−52−1+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+5200002222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5200000022−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000−1−52−1+52−1−52−1+52000000
χ18222222−1−52−1+52222−1−52−1+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+52222−1−52−1+5222222−1−52−1+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+520000-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52000000-2-21+521−521+521−521+521−521+521−52000000001+521−521+521−52000000
χ19222222−1−52−1+52222−1−52−1+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+52-2-22−1−52−1+52-2-22-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52000022221+521−52−1−52−1+521+521+521−521−52−1−52−1+52000000-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000001+521−521+521−52000000
χ20222222−1−52−1+52222−1−52−1+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+52-2-22−1−52−1+52-2-22-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520000-2-2-2-21+521−52−1−52−1+521+521+521−521−52−1−52−1+52000000221+521−521+521−521+521−521+521−5200000000−1−52−1+52−1−52−1+52000000
χ21222222−1−52−1+52222−1−52−1+52-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-21+521−52-2-2-2221+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+5200002-22-21+521−521+521−521+521+521−521−521+521−520000002-2−1−52−1+521+521−52−1−52−1+521+521−5200000000−1−52−1+521+521−52000000
χ22222222−1−52−1+52222−1−52−1+52-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-21+521−52-2-2-2221+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+520000-22-221+521−521+521−521+521+521−521−521+521−52000000-221+521−52−1−52−1+521+521−52−1−52−1+52000000001+521−52−1−52−1+52000000
χ23222222−1−52−1+52222−1−52−1+52-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-21+521−5222-2-2-21+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200002-22-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521−52000000-22−1−52−1+521+521−52−1−52−1+521+521−52000000001+521−52−1−52−1+52000000
χ24222222−1−52−1+52222−1−52−1+52-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-21+521−5222-2-2-21+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520000-22-22−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521−520000002-21+521−52−1−52−1+521+521−52−1−52−1+5200000000−1−52−1+521+521−52000000
χ25222222−1+52−1−52222−1+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+52−1−52222−1+52−1−5222222−1+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+52−1−52−1−52−1−52−1−5200002222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5200000022−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000−1+52−1−52−1+52−1−52000000
χ26222222−1+52−1−52222−1+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+52−1−52222−1+52−1−5222222−1+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+52−1−52−1−52−1−52−1−520000-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52000000-2-21−521+521−521+521−521+521−521+52000000001−521+521−521+52000000
χ27222222−1+52−1−52222−1+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+52−1−52-2-22−1+52−1−52-2-22-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52000022221−521+52−1+52−1−521−521−521+521+52−1+52−1−52000000-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000001−521+521−521+52000000
χ28222222−1+52−1−52222−1+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+52−1−52-2-22−1+52−1−52-2-22-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000-2-2-2-21−521+52−1+52−1−521−521−521+521+52−1+52−1−52000000221−521+521−521+521−521+521−521+5200000000−1+52−1−52−1+52−1−52000000
χ29222222−1+52−1−52222−1+52−1−52-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-21−521+52-2-2-2221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002-22-21−521+521−521+521−521−521+521+521−521+520000002-2−1+52−1−521−521+52−1+52−1−521−521+5200000000−1+52−1−521−521+52000000
χ30222222−1+52−1−52222−1+52−1−52-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-21−521+52-2-2-2221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-22-221−521+521−521+521−521−521+521+521−521+52000000-221−521+52−1+52−1−521−521+52−1+52−1−52000000001−521+52−1+52−1−52000000
χ31222222−1+52−1−52222−1+52−1−52-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-21−521+5222-2-2-21−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200002-22-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521+52000000-22−1+52−1−521−521+52−1+52−1−521−521+52000000001−521+52−1+52−1−52000000
χ32222222−1+52−1−52222−1+52−1−52-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-21−521+5222-2-2-21−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000-22-22−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521+520000002-21−521+52−1+52−1−521−521+52−1+52−1−5200000000−1+52−1−521−521+52000000
χ3322222-122-1-1-12222-1-1222222-1-1-1-1-1-1-1-122-122-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-1-1-1-1-122-1-1-1-1000000000022-1-1-1-1-1-10000000000
χ3422222-122-1-1-12222-1-1222222-1-1-1-1-1-1-1-122-122-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000022-1-1-1-1-1-1-1-1-2-211110000000000-2-21111110000000000
χ3522222-122-1-1-12222-1-1222222-1-1-1-1-1-1-1-1-2-2-12211-11122-2-2-2-2-1-1-1-11111111122220000-2-2-1-11111-1-122-1-1-1-10000000000-2-2-111-1110000000000
χ3622222-122-1-1-12222-1-1222222-1-1-1-1-1-1-1-1-2-2-12211-11122-2-2-2-2-1-1-1-111111111-2-2-2-20000-2-2-1-11111-1-1-2-211110000000000221-1-11-1-10000000000
χ3722222-122-1-1-122-2-2-1-1222222-1-1-1-1-1-1-1-12-21-2-2111-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-122220000-2-211111111-2-2-1-1-1-100000000002-21111-1-10000000000
χ3822222-122-1-1-122-2-2-1-1222222-1-1-1-1-1-1-1-12-21-2-2111-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2111111112211110000000000-22-1-1-1-1110000000000
χ3922222-122-1-1-122-2-2-1-1222222-1-1-1-1-1-1-1-1-221-2-2-1-1111-2-2-2-2-2-2-1-1-1-111111111222200002211-1-1-1-111-2-2-1-1-1-10000000000-221-1-11110000000000
χ4022222-122-1-1-122-2-2-1-1222222-1-1-1-1-1-1-1-1-221-2-2-1-1111-2-2-2-2-2-2-1-1-1-111111111-2-2-2-200002211-1-1-1-11122111100000000002-2-111-1-1-10000000000
χ41222-2-2222222222-2-2-222-2-2-2-2222222220022200-200-2-20000-2-2-2-20000000022-2-2000000220000-2-22-222-2-2000000000000200-2000000000000
χ42222-2-2222222222-2-2-222-2-2-2-2222222220022200-200-2-20000-2-2-2-200000000-2-222000000220000-2-2-22-2-222000000000000-2002000000000000
χ43222-2-222222222-22-2-222-2-2-2-22222222200-2-2-200200220000-2-2-2-20000000022-2-2000000-2-2000022-2222-2-2000000000000-2002000000000000
χ44222-2-222222222-22-2-222-2-2-2-22222222200-2-2-200200220000-2-2-2-200000000-2-222000000-2-20000222-2-2-222000000000000200-2000000000000
χ45222-2-2-122-1-1-1222-21122-2-2-2-2-1-1-1-1-1-1-1-100-122−i3i31−i3i3-2-200001111−i3−i3i3i3−i3−i3i3i322-2-2000000-1-1−i3i3−i3i3112-2-1-111000000000000-1−i3i31−i3i30000000000
χ46222-2-2-122-1-1-1222-21122-2-2-2-2-1-1-1-1-1-1-1-100-122−i3i31−i3i3-2-200001111−i3−i3i3i3−i3−i3i3i3-2-222000000-1-1−i3i3−i3i311-2211-1-10000000000001i3−i3-1i3−i30000000000
χ47222-2-2-122-1-1-1222-21122-2-2-2-2-1-1-1-1-1-1-1-100-122i3−i31i3−i3-2-200001111i3i3−i3−i3i3i3−i3−i322-2-2000000-1-1i3−i3i3−i3112-2-1-111000000000000-1i3−i31i3−i30000000000
χ48222-2-2-122-1-1-1222-21122-2-2-2-2-1-1-1-1-1-1-1-100-122i3−i31i3−i3-2-200001111i3i3−i3−i3i3i3−i3−i3-2-222000000-1-1i3−i3i3−i311-2211-1-10000000000001−i3i3-1−i3i30000000000
χ49222-2-2-122-1-1-122-221122-2-2-2-2-1-1-1-1-1-1-1-1001-2-2−i3i3-1i3−i32200001111i3i3−i3−i3i3i3−i3−i322-2-200000011−i3i3−i3i3-1-1-22-1-1110000000000001−i3i3-1i3−i30000000000
χ50222-2-2-122-1-1-122-221122-2-2-2-2-1-1-1-1-1-1-1-1001-2-2−i3i3-1i3−i32200001111i3i3−i3−i3i3i3−i3−i3-2-22200000011−i3i3−i3i3-1-12-211-1-1000000000000-1i3−i31−i3i30000000000
χ51222-2-2-122-1-1-122-221122-2-2-2-2-1-1-1-1-1-1-1-1001-2-2i3−i3-1−i3i32200001111−i3−i3i3i3−i3−i3i3i322-2-200000011i3−i3i3−i3-1-1-22-1-1110000000000001i3−i3-1−i3i30000000000
χ52222-2-2-122-1-1-122-221122-2-2-2-2-1-1-1-1-1-1-1-1001-2-2i3−i3-1−i3i32200001111−i3−i3i3i3−i3−i3i3i3-2-22200000011i3−i3i3−i3-1-12-211-1-1000000000000-1−i3i31i3−i30000000000
χ5322-22-2222-2-2222002-2-2-22-22-222-2-2-2-22200000000000000002-22-2000000002-22-2020-20000000000002-22-200002200-2-2000000000000020-200
χ5422-22-2222-2-2222002-2-2-22-22-222-2-2-2-22200000000000000002-22-2000000002-22-20-2020000000000002-22-20000-2-200220000000000000-20200
χ5522-22-2222-2-2222002-2-2-22-22-222-2-2-2-22200000000000000002-22-200000000-22-22020-2000000000000-22-2200002200-2-20000000000000-20200
χ5622-22-2222-2-2222002-2-2-22-22-222-2-2-2-22200000000000000002-22-200000000-22-220-202000000000000-22-220000-2-20022000000000000020-200
χ5722-2-22222-2-222200-22-2-2-22-2222-2-2-2-2220000000000000000-22-22000000002-2-2220-200000000000002-2-22002200-2-200000000000000-202000
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χ1098-8000-4−2+25−2−25−4i34i342−252+2500000000001−51+52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−1+5−1−5000000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900002ζ7−2ζ43−2ζ7+2ζ43−2ζ23+2ζ472ζ23−2ζ47−2ζ19+2ζ312ζ19−2ζ312ζ11−2ζ59−2ζ11+2ζ590000000000000000000000000000000000000000000000000000
χ1108-8000-4−2+25−2−254i3−4i342−252+2500000000001−51+5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−1+5−1−50000000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900002ζ23−2ζ47−2ζ23+2ζ47−2ζ7+2ζ432ζ7−2ζ43−2ζ11+2ζ592ζ11−2ζ592ζ19−2ζ31−2ζ19+2ζ310000000000000000000000000000000000000000000000000000
χ1118-8000-4−2+25−2−254i3−4i342−252+2500000000001−51+5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−1+5−1−5000000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000−2ζ23+2ζ472ζ23−2ζ472ζ7−2ζ43−2ζ7+2ζ432ζ11−2ζ59−2ζ11+2ζ59−2ζ19+2ζ312ζ19−2ζ310000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.