Finite Group Databasebeta

← Group #14513527

Character table — Group #14513527

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111122666688888888121212121212121222224412121212161616161616161624242424242424242222441212121216161616161616162424242424242424555510103030303040404040404040406060606060606060
order122244224436661212121244448888510101020201010202015303030606060602020202040404040510101020201010202015303030606060602020202040404040222244224466661212121244448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ31111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1
χ41111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-111
χ51-11-11-11-11-11-1-1111-1-1i−ii−ii−ii−i1-11-11-11-11-11-1-1111-1-1i−ii−ii−ii−i1-11-11-11-11-11-1-1111-1-1i−ii−ii−ii−i1-11-11-11-11-11-1-1111-1-1i−ii−ii−ii−i
χ61-11-11-11-11-11-1-1111-1-1−ii−ii−ii−ii1-11-11-11-11-11-1-1111-1-1−ii−ii−ii−ii1-11-11-11-11-11-1-1111-1-1−ii−ii−ii−ii1-11-11-11-11-11-1-1111-1-1−ii−ii−ii−ii
χ71-11-1-11-111-11-1-11-1-111i−i−iii−i−ii1-11-1-11-111-11-1-11-1-111i−i−iii−i−ii1-11-1-11-111-11-1-11-1-111i−i−iii−i−ii1-11-1-11-111-11-1-11-1-111i−i−iii−i−ii
χ81-11-1-11-111-11-1-11-1-111−iii−i−iii−i1-11-1-11-111-11-1-11-1-111−iii−i−iii−i1-11-1-11-111-11-1-11-1-111−iii−i−iii−i1-11-1-11-111-11-1-11-1-111−iii−i−iii−i
χ92222222222-1-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-100000000
χ102222-2-2-2-222-1-1-1-11111000000002222-2-2-2-222-1-1-1-11111000000002222-2-2-2-222-1-1-1-11111000000002222-2-2-2-222-1-1-1-1111100000000
χ112-22-22-22-22-2-111-1-1-111000000002-22-22-22-22-2-111-1-1-111000000002-22-22-22-22-2-111-1-1-111000000002-22-22-22-22-2-111-1-1-11100000000
χ122-22-2-22-222-2-111-111-1-1000000002-22-2-22-222-2-111-111-1-1000000002-22-2-22-222-2-111-111-1-1000000002-22-2-22-222-2-111-111-1-100000000
χ13333333-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1000000001111-1-1-1-1
χ14333333-1-1-1-100000000-1-1-1-11111333333-1-1-1-100000000-1-1-1-11111333333-1-1-1-100000000-1-1-1-11111333333-1-1-1-100000000-1-1-1-11111
χ153333-3-311-1-10000000011-1-1-1-1113333-3-311-1-10000000011-1-1-1-1113333-3-311-1-10000000011-1-1-1-1113333-3-311-1-10000000011-1-1-1-111
χ163333-3-311-1-100000000-1-11111-1-13333-3-311-1-100000000-1-11111-1-13333-3-311-1-100000000-1-11111-1-13333-3-311-1-100000000-1-11111-1-1
χ173-33-33-3-11-1100000000i−ii−i−ii−ii3-33-33-3-11-1100000000i−ii−i−ii−ii3-33-33-3-11-1100000000i−ii−i−ii−ii3-33-33-3-11-1100000000i−ii−i−ii−ii
χ183-33-33-3-11-1100000000−ii−iii−ii−i3-33-33-3-11-1100000000−ii−iii−ii−i3-33-33-3-11-1100000000−ii−iii−ii−i3-33-33-3-11-1100000000−ii−iii−ii−i
χ193-33-3-331-1-1100000000i−i−ii−iii−i3-33-3-331-1-1100000000i−i−ii−iii−i3-33-3-331-1-1100000000i−i−ii−iii−i3-33-3-331-1-1100000000i−i−ii−iii−i
χ203-33-3-331-1-1100000000−iii−ii−i−ii3-33-3-331-1-1100000000−iii−ii−i−ii3-33-3-331-1-1100000000−iii−ii−i−ii3-33-3-331-1-1100000000−iii−ii−i−ii
χ2144-4-400000011-1-13−33−30000000044-4-400000011-1-13−33−30000000044-4-400000011-1-13−33−30000000044-4-400000011-1-13−33−300000000
χ2244-4-400000011-1-1−33−330000000044-4-400000011-1-1−33−330000000044-4-400000011-1-1−33−330000000044-4-400000011-1-1−33−3300000000
χ2344-4-4000000-2-22200000000000044-4-4000000-2-22200000000000044-4-4000000-2-22200000000000044-4-4000000-2-222000000000000
χ244-4-440000001-11-13−3−33000000004-4-440000001-11-13−3−33000000004-4-440000001-11-13−3−33000000004-4-440000001-11-13−3−3300000000
χ254-4-440000001-11-1−333−3000000004-4-440000001-11-1−333−3000000004-4-440000001-11-1−333−3000000004-4-440000001-11-1−333−300000000
χ264-4-44000000-22-220000000000004-4-44000000-22-220000000000004-4-44000000-22-220000000000004-4-44000000-22-22000000000000
χ27111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ28111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ291111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111
χ301111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1
χ311-11-11-11-11-11-1-1111-1-1i−ii−ii−ii−i1-11-11-11-11-11-1-1111-1-1i−ii−ii−ii−i1-11-11-11-11-11-1-1111-1-1i−ii−ii−ii−i-11-11-11-11-11-111-1-1-111−ii−ii−ii−ii
χ321-11-11-11-11-11-1-1111-1-1−ii−ii−ii−ii1-11-11-11-11-11-1-1111-1-1−ii−ii−ii−ii1-11-11-11-11-11-1-1111-1-1−ii−ii−ii−ii-11-11-11-11-11-111-1-1-111i−ii−ii−ii−i
χ331-11-1-11-111-11-1-11-1-111i−i−iii−i−ii1-11-1-11-111-11-1-11-1-111i−i−iii−i−ii1-11-1-11-111-11-1-11-1-111i−i−iii−i−ii-11-111-11-1-11-111-111-1-1−iii−i−iii−i
χ341-11-1-11-111-11-1-11-1-111−iii−i−iii−i1-11-1-11-111-11-1-11-1-111−iii−i−iii−i1-11-1-11-111-11-1-11-1-111−iii−i−iii−i-11-111-11-1-11-111-111-1-1i−i−iii−i−ii
χ352222222222-1-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-21111111100000000
χ362222-2-2-2-222-1-1-1-11111000000002222-2-2-2-222-1-1-1-11111000000002222-2-2-2-222-1-1-1-1111100000000-2-2-2-22222-2-21111-1-1-1-100000000
χ372-22-22-22-22-2-111-1-1-111000000002-22-22-22-22-2-111-1-1-111000000002-22-22-22-22-2-111-1-1-11100000000-22-22-22-22-221-1-1111-1-100000000
χ382-22-2-22-222-2-111-111-1-1000000002-22-2-22-222-2-111-111-1-1000000002-22-2-22-222-2-111-111-1-100000000-22-222-22-2-221-1-11-1-11100000000
χ39333333-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1000000001111-1-1-1-1-3-3-3-3-3-3111100000000-1-1-1-11111
χ40333333-1-1-1-100000000-1-1-1-11111333333-1-1-1-100000000-1-1-1-11111333333-1-1-1-100000000-1-1-1-11111-3-3-3-3-3-31111000000001111-1-1-1-1
χ413333-3-311-1-10000000011-1-1-1-1113333-3-311-1-10000000011-1-1-1-1113333-3-311-1-10000000011-1-1-1-111-3-3-3-333-1-11100000000-1-11111-1-1
χ423333-3-311-1-100000000-1-11111-1-13333-3-311-1-100000000-1-11111-1-13333-3-311-1-100000000-1-11111-1-1-3-3-3-333-1-1110000000011-1-1-1-111
χ433-33-33-3-11-1100000000i−ii−i−ii−ii3-33-33-3-11-1100000000i−ii−i−ii−ii3-33-33-3-11-1100000000i−ii−i−ii−ii-33-33-331-11-100000000−ii−iii−ii−i
χ443-33-33-3-11-1100000000−ii−iii−ii−i3-33-33-3-11-1100000000−ii−iii−ii−i3-33-33-3-11-1100000000−ii−iii−ii−i-33-33-331-11-100000000i−ii−i−ii−ii
χ453-33-3-331-1-1100000000i−i−ii−iii−i3-33-3-331-1-1100000000i−i−ii−iii−i3-33-3-331-1-1100000000i−i−ii−iii−i-33-333-3-111-100000000−iii−ii−i−ii
χ463-33-3-331-1-1100000000−iii−ii−i−ii3-33-3-331-1-1100000000−iii−ii−i−ii3-33-3-331-1-1100000000−iii−ii−i−ii-33-333-3-111-100000000i−i−ii−iii−i
χ4744-4-400000011-1-13−33−30000000044-4-400000011-1-13−33−30000000044-4-400000011-1-13−33−300000000-4-444000000-1-111−33−3300000000
χ4844-4-400000011-1-1−33−330000000044-4-400000011-1-1−33−330000000044-4-400000011-1-1−33−3300000000-4-444000000-1-1113−33−300000000
χ4944-4-4000000-2-22200000000000044-4-4000000-2-22200000000000044-4-4000000-2-222000000000000-4-44400000022-2-2000000000000
χ504-4-440000001-11-13−3−33000000004-4-440000001-11-13−3−33000000004-4-440000001-11-13−3−3300000000-444-4000000-11-11−333−300000000
χ514-4-440000001-11-1−333−3000000004-4-440000001-11-1−333−3000000004-4-440000001-11-1−333−300000000-444-4000000-11-113−3−3300000000
χ524-4-44000000-22-220000000000004-4-44000000-22-220000000000004-4-44000000-22-22000000000000-444-40000002-22-2000000000000
χ5322222222222222222222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000000000000
χ54222222222222222222-2-2-2-2-2-2-2-2−1+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+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+5200000000000000000000000000
χ552222-2-2-2-2222222-2-2-2-222-2-222-2-2−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−1−52−1−521+521+5200000000000000000000000000
χ562222-2-2-2-2222222-2-2-2-2-2-222-2-222−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+521−521−52−1+52−1+52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−521+521+52−1−52−1−5200000000000000000000000000
χ572-22-22-22-22-22-2-2222-2-22i−2i2i−2i2i−2i2i−2i−1+521−52−1+521−52−1+521−52−1+521−52−1+521−52−1+521−521−52−1+52−1+52−1+521−521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−521+52−1−521+52−1−521+52−1−521+52−1−521+52−1−521+521+52−1−52−1−52−1−521+521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ5900000000000000000000000000
χ582-22-22-22-22-22-2-2222-2-2−2i2i−2i2i−2i2i−2i2i−1+521−52−1+521−52−1+521−52−1+521−52−1+521−52−1+521−521−52−1+52−1+52−1+521−521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−521+52−1−521+52−1−521+52−1−521+52−1−521+52−1−521+521+52−1−52−1−52−1−521+521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ5900000000000000000000000000
χ592-22-2-22-222-22-2-22-2-2222i−2i−2i2i2i−2i−2i2i−1+521−52−1+521−521−52−1+521−52−1+52−1+521−52−1+521−521−52−1+521−521−52−1+52−1+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−521+52−1−521+521+52−1−521+52−1−52−1−521+52−1−521+521+52−1−521+521+52−1−52−1−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ5900000000000000000000000000
χ602-22-2-22-222-22-2-22-2-222−2i2i2i−2i−2i2i2i−2i−1+521−52−1+521−521−52−1+521−52−1+52−1+521−52−1+521−521−52−1+521−521−52−1+52−1+52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−521+52−1−521+521+52−1−521+52−1−52−1−521+52−1−521+521+52−1−521+521+52−1−52−1−52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ5900000000000000000000000000
χ614444444444-2-2-2-2-2-2-2-200000000−1+5−1+5−1+5−1+5−1+5−1+5−1+5−1+5−1+5−1+51−521−521−521−521−521−521−521−5200000000−1−5−1−5−1−5−1−5−1−5−1−5−1−5−1−5−1−5−1−51+521+521+521+521+521+521+521+520000000000000000000000000000000000
χ624444-4-4-4-444-2-2-2-2222200000000−1+5−1+5−1+5−1+51−51−51−51−5−1+5−1+51−521−521−521−52−1+52−1+52−1+52−1+5200000000−1−5−1−5−1−5−1−51+51+51+51+5−1−5−1−51+521+521+521+52−1−52−1−52−1−52−1−520000000000000000000000000000000000
χ634-44-44-44-44-4-222-2-2-22200000000−1+51−5−1+51−5−1+51−5−1+51−5−1+51−51−52−1+52−1+521−521−521−52−1+52−1+5200000000−1−51+5−1−51+5−1−51+5−1−51+5−1−51+51+52−1−52−1−521+521+521+52−1−52−1−520000000000000000000000000000000000
χ644-44-4-44-444-4-222-222-2-200000000−1+51−5−1+51−51−5−1+51−5−1+5−1+51−51−52−1+52−1+521−52−1+52−1+521−521−5200000000−1−51+5−1−51+51+5−1−51+5−1−5−1−51+51+52−1−52−1−521+52−1−52−1−521+521+520000000000000000000000000000000000
χ65666666-2-2-2-2000000002222-2-2-2-2−3+352−3+352−3+352−3+352−3+352−3+3521−521−521−521−5200000000−1+52−1+52−1+52−1+521−521−521−521−52−3−352−3−352−3−352−3−352−3−352−3−3521+521+521+521+5200000000−1−52−1−52−1−52−1−521+521+521+521+5200000000000000000000000000
χ66666666-2-2-2-200000000-2-2-2-22222−3+352−3+352−3+352−3+352−3+352−3+3521−521−521−521−52000000001−521−521−521−52−1+52−1+52−1+52−1+52−3−352−3−352−3−352−3−352−3−352−3−3521+521+521+521+52000000001+521+521+521+52−1−52−1−52−1−52−1−5200000000000000000000000000
χ676666-6-622-2-20000000022-2-2-2-222−3+352−3+352−3+352−3+3523−3523−352−1+52−1+521−521−5200000000−1+52−1+521−521−521−521−52−1+52−1+52−3−352−3−352−3−352−3−3523+3523+352−1−52−1−521+521+5200000000−1−52−1−521+521+521+521+52−1−52−1−5200000000000000000000000000
χ686666-6-622-2-200000000-2-22222-2-2−3+352−3+352−3+352−3+3523−3523−352−1+52−1+521−521−52000000001−521−52−1+52−1+52−1+52−1+521−521−52−3−352−3−352−3−352−3−3523+3523+352−1−52−1−521+521+52000000001+521+52−1−52−1−52−1−52−1−521+521+5200000000000000000000000000
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χ1048-8-88000000-44-44000000000000−2−252+252+25−2−250000001+5−1−51+5−1−5000000000000−2+252−252−25−2+250000001−5−1+51−5−1+500000000000000000000000000000000000000

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