Finite Group Databasebeta

← Group #14277258

Character table — Group #14277258

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122222222222244444444444444444444444444444444444444444555588888888888888888888888888888888888810101010101010101010101020202020202020202020202020202020206060606060606060120120120120
order1222344446661212121245888810101012121212151520202020242424242424242430303030303060606060606060604444202020204040404040404040606060606060606012012012012012012012012012012012012012012012012022441212121212121212466888812122424242424242424444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ5111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111iiii−i−i−i−i−i−iii
χ8111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111−i−i−i−iiiiiii−i−i
χ911111-1-1-1-1111-1-1-1-111ii−i−i11111-1-111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1-1-1111111-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-11-1-1ii−i−i11iiii−i−i−i−iii−i−iii−i−i1-11-1
χ1011111-1-1-1-1111-1-1-1-111ii−i−i11111-1-111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1-1-1111111-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-11-1-1ii−i−i11iiii−i−i−i−i−i−iii−i−iii-11-11
χ1111111-1-1-1-1111-1-1-1-111ii−i−i11111-1-111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-111−i−iii-1-1−i−i−i−iiiii11-1-1-1-111−iii−i
χ1211111-1-1-1-1111-1-1-1-111ii−i−i11111-1-111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-111−i−iii-1-1−i−i−i−iiiii-1-11111-1-1i−i−ii
χ1311111-1-1-1-1111-1-1-1-111−i−iii11111-1-111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1-1-1111111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-11-1-1−i−iii11−i−i−i−iiiiiii−i−iii−i−i-11-11
χ1411111-1-1-1-1111-1-1-1-111−i−iii11111-1-111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1-1-1111111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-11-1-1−i−iii11−i−i−i−iiiii−i−iii−i−iii1-11-1
χ1511111-1-1-1-1111-1-1-1-111−i−iii11111-1-111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-111ii−i−i-1-1iiii−i−i−i−i11-1-1-1-111i−i−ii
χ1611111-1-1-1-1111-1-1-1-111−i−iii11111-1-111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-111ii−i−i-1-1iiii−i−i−i−i-1-11111-1-1−iii−i
χ172222222-2-2222-2-2-2-2-220000222-2-22222-2-2-2-200000000222222-2-2-2-2-2-2-2-22222-2-22200000000-2-2-2-22222000000000000000022-2-22222-2-2-2-2-2220000-2-200000000000000000000
χ182222222-2-2222-2-2-2-2-220000222-2-22222-2-2-2-200000000222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22200000000-2-2-2-222220000000000000000-2-222-2-2-2-222222-2-200002200000000000000000000
χ1922222-2-2222222222-220000222-2-2-2-222222200000000222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-2-22222222222-2-2-20000-2-200000000000000000000
χ2022222-2-2222222222-220000222-2-2-2-22222220000000022222222222222-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2000000000000000022-2-2-2-2-2-2-2-2-2-222200002200000000000000000000
χ212222-12222-1-1-1-1-1-1-1222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1000000000000
χ222222-12222-1-1-1-1-1-1-1222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-211-2-2-2-21111111111000000000000
χ232222-12222-1-1-1-1-1-1-122-2-2-2-2222-1-1-1-1-1-1222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-1-1-1-1-1-1-1-12-1-1-2-2-2-2-1-111111111000000000000
χ242222-12222-1-1-1-1-1-1-122-2-2-2-2222-1-1-1-1-1-1222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-211111111-211222211-1-1-1-1-1-1-1-1000000000000
χ252222-122-2-2-1-1-11111-22000022211-1-1-1-1-2-2-2-233−3−333−3−3-1-1-1-1-1-1111111112222-2-222000000001111-1-1-1-13333−3−3−3−33333−3−3−3−322-2-2-1-1-1-11111-2-1-100001133−3−333−3−3000000000000
χ262222-122-2-2-1-1-11111-22000022211-1-1-1-1-2-2-2-233−3−333−3−3-1-1-1-1-1-111111111-2-2-2-2-2-222000000001111-1-1-1-13333−3−3−3−33333−3−3−3−3-2-2221111-1-1-1-12110000-1-1−3−333−3−333000000000000
χ272222-122-2-2-1-1-11111-22000022211-1-1-1-1-2-2-2-2−3−333−3−333-1-1-1-1-1-1111111112222-2-222000000001111-1-1-1-1−3−3−3−33333−3−3−3−3333322-2-2-1-1-1-11111-2-1-1000011−3−333−3−333000000000000
χ282222-122-2-2-1-1-11111-22000022211-1-1-1-1-2-2-2-2−3−333−3−333-1-1-1-1-1-111111111-2-2-2-2-2-222000000001111-1-1-1-1−3−3−3−33333−3−3−3−33333-2-2221111-1-1-1-12110000-1-133−3−333−3−3000000000000
χ292222-1-2-222-1-1-1-1-1-1-1-2200002221111-1-12222−i3−i3i3i3i3i3−i3−i3-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-20000000011111111−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3-2-222-1-1-1-1-1-1-1-1-211000011−i3−i3i3i3i3i3−i3−i3000000000000
χ302222-1-2-222-1-1-1-1-1-1-1-2200002221111-1-12222−i3−i3i3i3i3i3−i3−i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000011111111−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i322-2-2111111112-1-10000-1-1i3i3−i3−i3−i3−i3i3i3000000000000
χ312222-1-2-222-1-1-1-1-1-1-1-2200002221111-1-12222i3i3−i3−i3−i3−i3i3i3-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-20000000011111111i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3-2-222-1-1-1-1-1-1-1-1-211000011i3i3−i3−i3−i3−i3i3i3000000000000
χ322222-1-2-222-1-1-1-1-1-1-1-2200002221111-1-12222i3i3−i3−i3−i3−i3i3i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000011111111i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i322-2-2111111112-1-10000-1-1−i3−i3i3i3i3i3−i3−i3000000000000
χ332222-1-2-2-2-2-1-1-11111222i2i−2i−2i222-1-111-1-1-2-2-2-2−i−i−i−iiiii-1-1-1-1-1-111111111222222-2-22i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-2-2-2-2-1-1-1-111112112i2i−2i−2i-1-1−i−i−i−iiiii000000000000
χ342222-1-2-2-2-2-1-1-11111222i2i−2i−2i222-1-111-1-1-2-2-2-2−i−i−i−iiiii-1-1-1-1-1-111111111-2-2-2-222-2-22i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii22221111-1-1-1-1-2-1-1−2i−2i2i2i11iiii−i−i−i−i000000000000
χ352222-1-2-2-2-2-1-1-1111122−2i−2i2i2i222-1-111-1-1-2-2-2-2iiii−i−i−i−i-1-1-1-1-1-111111111222222-2-2−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-2-2-2-2-1-1-1-11111211−2i−2i2i2i-1-1iiii−i−i−i−i000000000000
χ362222-1-2-2-2-2-1-1-1111122−2i−2i2i2i222-1-111-1-1-2-2-2-2iiii−i−i−i−i-1-1-1-1-1-111111111-2-2-2-222-2-2−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i22221111-1-1-1-1-2-1-12i2i−2i−2i11−i−i−i−iiiii000000000000
χ3722-2-22002i−2i2-2-22i2i−2i−2i0200002-2-20000222i2i−2i−2i0000000022-2-2-2-22i2i2i2i−2i−2i−2i−2i22-2-2000000000000000000000000000000000000002i−2i22-2-22i2i−2i−2i000000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000
χ3822-2-22002i−2i2-2-22i2i−2i−2i0200002-2-20000222i2i−2i−2i0000000022-2-2-2-22i2i2i2i−2i−2i−2i−2i22-2-2000000000000000000000000000000000000002i−2i22-2-22i2i−2i−2i00000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000
χ3922-2-22002i−2i2-2-22i2i−2i−2i0200002-2-20000222i2i−2i−2i0000000022-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-22200000000000000000000000000000000000000−2i2i-2-222−2i−2i2i2i000000000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i0000
χ4022-2-22002i−2i2-2-22i2i−2i−2i0200002-2-20000222i2i−2i−2i0000000022-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-22200000000000000000000000000000000000000−2i2i-2-222−2i−2i2i2i00000000000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i0000
χ4122-2-2200−2i2i2-2-2−2i−2i2i2i0200002-2-2000022−2i−2i2i2i0000000022-2-2-2-2−2i−2i−2i−2i2i2i2i2i22-2-200000000000000000000000000000000000000−2i2i22-2-2−2i−2i2i2i000000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000
χ4222-2-2200−2i2i2-2-2−2i−2i2i2i0200002-2-2000022−2i−2i2i2i0000000022-2-2-2-2−2i−2i−2i−2i2i2i2i2i22-2-200000000000000000000000000000000000000−2i2i22-2-2−2i−2i2i2i00000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000
χ4322-2-2200−2i2i2-2-2−2i−2i2i2i0200002-2-2000022−2i−2i2i2i0000000022-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-222000000000000000000000000000000000000002i−2i-2-2222i2i−2i−2i000000000000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i0000
χ4422-2-2200−2i2i2-2-2−2i−2i2i2i0200002-2-2000022−2i−2i2i2i0000000022-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-222000000000000000000000000000000000000002i−2i-2-2222i2i−2i−2i00000000000000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i0000
χ452-22-222i−2i00-22-20000021+i−1−i1−i−1+i-22-2002i−2i2200001+i−1−i1+i−1−i1−i−1+i1−i−1+i-2-222-2-2000000002i−2i2i−2i002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i00002i2i−2i−2i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i2-2002i−2i2i−2i000002-21−i−1+i1+i−1−i001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ462-22-222i−2i00-22-20000021+i−1−i1−i−1+i-22-2002i−2i2200001+i−1−i1+i−1−i1−i−1+i1−i−1+i-2-222-2-200000000−2i2i−2i2i002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i00002i2i−2i−2i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i-2200−2i2i−2i2i00000-22−1+i1−i−1−i1+i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ472-22-222i−2i00-22-2000002−1−i1+i−1+i1−i-22-2002i−2i220000−1−i1+i−1−i1+i−1+i1−i−1+i1−i-2-222-2-2000000002i−2i2i−2i002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i00002i2i−2i−2i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i2-2002i−2i2i−2i000002-2−1+i1−i−1−i1+i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ482-22-222i−2i00-22-2000002−1−i1+i−1+i1−i-22-2002i−2i220000−1−i1+i−1−i1+i−1+i1−i−1+i1−i-2-222-2-200000000−2i2i−2i2i002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i00002i2i−2i−2i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i-2200−2i2i−2i2i00000-221−i−1+i1+i−1−i001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ492-22-22−2i2i00-22-20000021−i−1+i1+i−1−i-22-200−2i2i2200001−i−1+i1−i−1+i1+i−1−i1+i−1−i-2-222-2-2000000002i−2i2i−2i00−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i0000−2i−2i2i2i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i-22002i−2i2i−2i00000-22−1−i1+i−1+i1−i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ502-22-22−2i2i00-22-20000021−i−1+i1+i−1−i-22-200−2i2i2200001−i−1+i1−i−1+i1+i−1−i1+i−1−i-2-222-2-200000000−2i2i−2i2i00−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i0000−2i−2i2i2i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i2-200−2i2i−2i2i000002-21+i−1−i1−i−1+i001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
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χ1348-8-8880000-8-8800000-2000022-20000-2-22i5−2i5−2i52i5000000002222-2-22i5−2i5−2i52i5−2i52i52i5−2i5000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8-88-4000044-443−43−43430-2000022-200001−i151+i152i5−2i5−2i52i500000000−1+i15−1−i15−1+i15−1−i151−i151+i152ζ7−2ζ11+2ζ43−2ζ592ζ19−2ζ23+2ζ31−2ζ47−2ζ7+2ζ11−2ζ43+2ζ59−2ζ19+2ζ23−2ζ31+2ζ47−2ζ7+2ζ11−2ζ43+2ζ59−2ζ19+2ζ23−2ζ31+2ζ472ζ7−2ζ11+2ζ43−2ζ592ζ19−2ζ23+2ζ31−2ζ47000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-8-88-4000044-443−43−43430-2000022-200001+i151−i15−2i52i52i5−2i500000000−1−i15−1+i15−1−i15−1+i151+i151−i152ζ19−2ζ23+2ζ31−2ζ472ζ7−2ζ11+2ζ43−2ζ59−2ζ19+2ζ23−2ζ31+2ζ47−2ζ7+2ζ11−2ζ43+2ζ59−2ζ19+2ζ23−2ζ31+2ζ47−2ζ7+2ζ11−2ζ43+2ζ592ζ19−2ζ23+2ζ31−2ζ472ζ7−2ζ11+2ζ43−2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-8-88-4000044-4−434343−430-2000022-200001−i151+i15−2i52i52i5−2i500000000−1+i15−1−i15−1+i15−1−i151−i151+i15−2ζ7+2ζ11−2ζ43+2ζ59−2ζ19+2ζ23−2ζ31+2ζ472ζ7−2ζ11+2ζ43−2ζ592ζ19−2ζ23+2ζ31−2ζ472ζ7−2ζ11+2ζ43−2ζ592ζ19−2ζ23+2ζ31−2ζ47−2ζ7+2ζ11−2ζ43+2ζ59−2ζ19+2ζ23−2ζ31+2ζ47000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-88-4000044-4−434343−430-2000022-200001+i151−i152i5−2i5−2i52i500000000−1−i15−1+i15−1−i15−1+i151+i151−i15−2ζ19+2ζ23−2ζ31+2ζ47−2ζ7+2ζ11−2ζ43+2ζ592ζ19−2ζ23+2ζ31−2ζ472ζ7−2ζ11+2ζ43−2ζ592ζ19−2ζ23+2ζ31−2ζ472ζ7−2ζ11+2ζ43−2ζ59−2ζ19+2ζ23−2ζ31+2ζ47−2ζ7+2ζ11−2ζ43+2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000

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