Finite Group Databasebeta

← Group #14295129

Character table — Group #14295129

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111112222222222224444444444445555555588888888888888888888101010101010101010101010121212122020202020202020202020202020202020202020202020202020202024242424242424243030303030303030303030303030303060606060
order1222222234444666666651010101010101012121212444444441520202020303030303030306060606060606060444412121212121212124444888888881212121224242424242424242424242424242424202020202020202088888888888888882244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ511111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1
χ711111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111
χ9111111111-1-1-1-1111111111111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ10111111111-1-1-1-1111111111111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ11111111111-1-1-1-1111111111111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ12111111111-1-1-1-1111111111111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ13111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1
χ14111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1
χ15111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ16111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111
χ17111-1-1-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−i11-1-111-1-11ii−i−i111-1-1-1-1iiii−i−i−i−iii−i−i11-1-111-1-1i−i1-11-1i−i1-1i−iii−i−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i11-1-11-1i−i
χ18111-1-1-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−i11-1-111-1-11ii−i−i111-1-1-1-1iiii−i−i−i−iii−i−i11-1-111-1-1i−i1-1-11−ii-11−iiii−i−i-1-111−i−iii-1-111−i−iii11-1-1ii−i−i−i−iii-1-111−i−iii-1-1111-1i−i
χ19111-1-1-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−i11-1-111-1-11ii−i−i111-1-1-1-1iiii−i−i−i−iii−i−i11-1-111-1-1−ii-111-1i−i1-1i−iii−i−i11-1-1ii−i−i11-1-1ii−i−i-1-111−i−iii−i−iii-1-111−i−iii-1-111-11−ii
χ20111-1-1-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−i11-1-111-1-11ii−i−i111-1-1-1-1iiii−i−i−i−iii−i−i11-1-111-1-1−ii-11-11−ii-11−iiii−i−i-1-111−i−iii-1-111−i−iii-1-111−i−iiiii−i−i11-1-1ii−i−i11-1-1-11−ii
χ21111-1-1-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−i-1-111-1-1111ii−i−i111-1-1-1-1iiii−i−i−i−i−i−iii-1-111-1-111i−i1-1i−i-11−ii1-1−i−iiiii−i−i-1-111−i−iii11-1-111-1-1ii−i−i-1-111ii−i−i11-1-1−i−iii-11−ii
χ22111-1-1-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−i-1-111-1-1111ii−i−i111-1-1-1-1iiii−i−i−i−i−i−iii-1-111-1-111i−i1-1−ii1-1i−i-11−i−iii−i−iii11-1-1ii−i−i-1-11111-1-1ii−i−i11-1-1−i−iii-1-111ii−i−i-11−ii
χ23111-1-1-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−i-1-111-1-1111ii−i−i111-1-1-1-1iiii−i−i−i−i−i−iii-1-111-1-111−ii-11i−i-11−ii1-1−i−iiiii−i−i-1-111−i−iii11-1-1-1-111−i−iii11-1-1−i−iii-1-111ii−i−i1-1i−i
χ24111-1-1-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−i-1-111-1-1111ii−i−i111-1-1-1-1iiii−i−i−i−i−i−iii-1-111-1-111−ii-11−ii1-1i−i-11−i−iii−i−iii11-1-1ii−i−i-1-111-1-111−i−iii-1-111ii−i−i11-1-1−i−iii1-1i−i
χ25111-1-1-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii11-1-111-1-11−i−iii111-1-1-1-1−i−i−i−iiiii−i−iii11-1-111-1-1i−i-111-1−ii1-1−ii−i−iii11-1-1−i−iii11-1-1−i−iii-1-111ii−i−iii−i−i-1-111ii−i−i-1-111-11i−i
χ26111-1-1-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii11-1-111-1-11−i−iii111-1-1-1-1−i−i−i−iiiii−i−iii11-1-111-1-1i−i-11-11i−i-11i−i−i−iii-1-111ii−i−i-1-111ii−i−i-1-111ii−i−i−i−iii11-1-1−i−iii11-1-1-11i−i
χ27111-1-1-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii11-1-111-1-11−i−iii111-1-1-1-1−i−i−i−iiiii−i−iii11-1-111-1-1−ii1-11-1−ii1-1−ii−i−iii11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii−i−iii11-1-1−i−iii11-1-11-1−ii
χ28111-1-1-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii11-1-111-1-11−i−iii111-1-1-1-1−i−i−i−iiiii−i−iii11-1-111-1-1−ii1-1-11i−i-11i−i−i−iii-1-111ii−i−i-1-111ii−i−i11-1-1−i−iiiii−i−i-1-111ii−i−i-1-1111-1−ii
χ29111-1-1-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii-1-111-1-1111−i−iii111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111-1-111i−i-11i−i1-1−ii-11ii−i−iii−i−i11-1-1−i−iii-1-111-1-111ii−i−i-1-111−i−iii11-1-1ii−i−i1-1−ii
χ30111-1-1-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii-1-111-1-1111−i−iii111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111-1-111i−i-11−ii-11i−i1-1ii−i−i−i−iii-1-111ii−i−i11-1-1-1-111ii−i−i11-1-1ii−i−i-1-111−i−iii1-1−ii
χ31111-1-1-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii-1-111-1-1111−i−iii111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111-1-111−ii1-1i−i1-1−ii-11ii−i−iii−i−i11-1-1−i−iii-1-11111-1-1−i−iii11-1-1ii−i−i-1-111−i−iii-11i−i
χ32111-1-1-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii-1-111-1-1111−i−iii111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111-1-111−ii1-1−ii-11i−i1-1ii−i−i−i−iii-1-111ii−i−i11-1-111-1-1−i−iii-1-111−i−iii11-1-1ii−i−i-11i−i
χ3322222222-12222-1-1-1-1-1-1-122222222-1-1-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ3422222222-12222-1-1-1-1-1-1-122222222-1-1-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000000000000000000000000000
χ3522222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100002i2i2i2i−2i−2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000000000000000
χ3622222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000−2i−2i−2i−2i2i2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000000000000000
χ3722222222-1-2-2-2-2-1-1-1-1-1-1-122222222111122222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-1-1-1-1-1000022-2-222-2-21111-1-1-1-11111-1-1-1-111110000000000000000000000000000
χ3822222222-1-2-2-2-2-1-1-1-1-1-1-122222222111122222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-1-1-1-1-10000-2-222-2-22211111111-1-1-1-11111-1-1-1-10000000000000000000000000000
χ3922222222-1-2-2-2-2-1-1-1-1-1-1-1222222221111-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-11111111122221111111100002i2i−2i−2i−2i−2i2i2i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000
χ4022222222-1-2-2-2-2-1-1-1-1-1-1-1222222221111-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1111111112222111111110000−2i−2i2i2i2i2i−2i−2i-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000
χ41222-2-2-22-2-12i2i−2i−2i-1-1111-11222-2-2-22-2−i−iii22-2-222-2-2-12i2i−2i−2i-1-1-11111−i−i−i−iiiii2i2i−2i−2i-1-111-1-11100002-22i−2i2-22i−2i−i−iii-1-111−i−iii-1-111−i−iii0000000000000000000000000000
χ42222-2-2-22-2-12i2i−2i−2i-1-1111-11222-2-2-22-2−i−iii22-2-222-2-2-12i2i−2i−2i-1-1-11111−i−i−i−iiiii2i2i−2i−2i-1-111-1-1110000-22−2i2i-22−2i2i−i−iii11-1-1ii−i−i11-1-1ii−i−i0000000000000000000000000000
χ43222-2-2-22-2-12i2i−2i−2i-1-1111-11222-2-2-22-2−i−iii-2-222-2-222-12i2i−2i−2i-1-1-11111−i−i−i−iiiii−2i−2i2i2i11-1-111-1-100002i−2i-22−2i2i2-2ii−i−i−i−iii11-1-1ii−i−i-1-1110000000000000000000000000000
χ44222-2-2-22-2-12i2i−2i−2i-1-1111-11222-2-2-22-2−i−iii-2-222-2-222-12i2i−2i−2i-1-1-11111−i−i−i−iiiii−2i−2i2i2i11-1-111-1-10000−2i2i2-22i−2i-22ii−i−iii−i−i-1-111−i−iii11-1-10000000000000000000000000000
χ45222-2-2-22-2-1−2i−2i2i2i-1-1111-11222-2-2-22-2ii−i−i22-2-222-2-2-1−2i−2i2i2i-1-1-11111iiii−i−i−i−i−2i−2i2i2i-1-111-1-11100002-2−2i2i2-2−2i2iii−i−i-1-111ii−i−i-1-111ii−i−i0000000000000000000000000000
χ46222-2-2-22-2-1−2i−2i2i2i-1-1111-11222-2-2-22-2ii−i−i22-2-222-2-2-1−2i−2i2i2i-1-1-11111iiii−i−i−i−i−2i−2i2i2i-1-111-1-1110000-222i−2i-222i−2iii−i−i11-1-1−i−iii11-1-1−i−iii0000000000000000000000000000
χ47222-2-2-22-2-1−2i−2i2i2i-1-1111-11222-2-2-22-2ii−i−i-2-222-2-222-1−2i−2i2i2i-1-1-11111iiii−i−i−i−i2i2i−2i−2i11-1-111-1-100002i−2i2-2−2i2i-22−i−iii−i−iii-1-111ii−i−i11-1-10000000000000000000000000000
χ48222-2-2-22-2-1−2i−2i2i2i-1-1111-11222-2-2-22-2ii−i−i-2-222-2-222-1−2i−2i2i2i-1-1-11111iiii−i−i−i−i2i2i−2i−2i11-1-111-1-10000−2i2i-222i−2i2-2−i−iiiii−i−i11-1-1−i−iii-1-1110000000000000000000000000000
χ4922-22-22-2-2200002-22-22-2-222-22-2-2-2200002i−2i2i−2i2i−2i2i−2i200002-2-22-2-220000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10900002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000
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χ1054-4-444-44-444i−4i4i−4i-4-444-44-4-111-11-1-114i−4i4i−4i00000000-1−ii−ii11-1-11-11−i−iii−i−iii00000000000000000000000000000000000000000000−55−55−i5i5−i5i500000000000000000000
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χ11488888888-4-8-8-8-8-4-4-4-4-4-4-4-2-2-2-2-2-2-2-2444400000000122221111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000000000000000
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χ1248-888-8-8-88-400004-4-4444-4-22-2-2-222200000000000010000-11-111-1-1−151515−15−151515−15000000000000000000000000000000000000000000000000000000000000000000000000
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χ1308-8-888-88-8-4−8i8i−8i8i44-4-44-44-222-22-2-224i−4i4i−4i0000000012i−2i2i−2i-1-111-11-1−i−iii−i−iii000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8-8-8-8888-48-8-884444-4-4-4-2222-22-2-2-444-4000000001-222-2-1-11-11-1111-1-1-1-111000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-8-8-8888-4-888-84444-4-4-4-2222-22-2-24-4-440000000012-2-22-1-11-11-11-1-11111-1-1000000000000000000000000000000000000000000000000000000000000000000000000

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