Finite Group Databasebeta

← Group #14282745

Character table — Group #14282745

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222224444444445555888888888888888888888810101010101010101010101020202020202020202020202020202020202020202020202020202020202424484848486060606060606060120120
order122222344666121212124566101010121222221010152020202030303030303030606060606060606022446666121212124668888888812122424242424242424242424242424242444202020204444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i111111iiii−i−i−i−i-1-1
χ61111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1−i−i−i−iiiii11
χ71111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−i−i−i−i−i−i−iiiiiiiii111111−i−i−i−iiiii-1-1
χ81111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1iiii−i−i−i−i11
χ91111-1-11-1-1111-1-1-1-111-1-1111111111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1ii−i−iii−i−i11iiii−i−i−i−iiiii−i−i−i−i1-111-1-1ii−i−iii−i−i1-1
χ101111-1-11-1-1111-1-1-1-111-1-1111111111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1ii−i−iii−i−i11iiii−i−i−i−iiiii−i−i−i−i-11-1-111−i−iii−i−iii-11
χ111111-1-11-1-1111-1-1-1-111-1-1111111111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1−i−iii−i−iii11−i−i−i−iiiii−i−i−i−iiiii1-111-1-1−i−iii−i−iii1-1
χ121111-1-11-1-1111-1-1-1-111-1-1111111111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1−i−iii−i−iii11−i−i−i−iiiii−i−i−i−iiiii-11-1-111ii−i−iii−i−i-11
χ131111-1-11-1-1111-1-1-1-111-1-111111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-111-11
χ141111-1-11-1-1111-1-1-1-111-1-111111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-11-1
χ151111-1-11-1-1111-1-1-1-111-1-111111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-1-1-11111-1-1-11
χ161111-1-11-1-1111-1-1-1-111-1-111111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-1111-1
χ172222222-2-2222-2-2-2-2-2222222-2-22222222-2-2-2-22222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-22200000000-2-200000000000000000000000000000000
χ182222222-2-2222-2-2-2-2-2222222-2-2-2-2-2-2222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-222-2-2-2-222222-2-2000000002200000000000000000000000000000000
χ19222222-122-1-1-1-1-1-1-122-1-1222-1-1222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222-122-1-1-1-1-1-1-122-1-1222-1-1222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-2-2-2-2-2-2-2-2-1-111111111111111110000000000000000
χ21222222-122-1-1-1-1-1-1-122-1-1222-1-1-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2112i2i2i2i−2i−2i−2i−2i11−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ22222222-122-1-1-1-1-1-1-122-1-1222-1-1-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-211−2i−2i−2i−2i2i2i2i2i11iiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ23222222-1-2-2-1-1-11111-22-1-122211222222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-11111-2-1-1000000001133−3−333−3−333−3−333−3−30000000000000000
χ24222222-1-2-2-1-1-11111-22-1-122211222222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-11111-2-1-10000000011−3−333−3−333−3−333−3−3330000000000000000
χ25222222-1-2-2-1-1-11111-22-1-122211-2-2-2-222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2221111-1-1-1-121100000000-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ26222222-1-2-2-1-1-11111-22-1-122211-2-2-2-222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2221111-1-1-1-121100000000-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ272222-2-22222222222-22-2-2222-2-22222-2-22-2-22222-2-2-2-22-2-2-2-22222-2-22222222222-2-2-200000000-2-200000000000000000000000000000000
χ282222-2-22222222222-22-2-2222-2-2-2-2-2-2-2-22-2-22222-2-2-2-22-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222000000002200000000000000000000000000000000
χ292222-2-2-122-1-1-1-1-1-1-1-2211222112222-2-2-1-2-222-1-11111-11111-1-1-1-1-2-222-1-1-1-1-1-1-1-1-2110000000011−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ302222-2-2-122-1-1-1-1-1-1-1-2211222112222-2-2-1-2-222-1-11111-11111-1-1-1-1-2-222-1-1-1-1-1-1-1-1-2110000000011i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ312222-2-2-122-1-1-1-1-1-1-1-221122211-2-2-2-2-2-2-1-2-222-1-11111-11111-1-1-1-122-2-2111111112-1-100000000-1-133−3−3−3−333−3−33333−3−30000000000000000
χ322222-2-2-122-1-1-1-1-1-1-1-221122211-2-2-2-2-2-2-1-2-222-1-11111-11111-1-1-1-122-2-2111111112-1-100000000-1-1−3−33333−3−333−3−3−3−3330000000000000000
χ332222-2-2-1-2-2-1-1-111112211222-1-12222-2-2-122-2-2-1-11111-1-1-1-1-11111-2-2-2-2-1-1-1-111112112i2i−2i−2i2i2i−2i−2i-1-1−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ342222-2-2-1-2-2-1-1-111112211222-1-12222-2-2-122-2-2-1-11111-1-1-1-1-11111-2-2-2-2-1-1-1-11111211−2i−2i2i2i−2i−2i2i2i-1-1iiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ352222-2-2-1-2-2-1-1-111112211222-1-1-2-2-2-2-2-2-122-2-2-1-11111-1-1-1-1-1111122221111-1-1-1-1-2-1-122-2-2-2-22211-1-1-1-111111111-1-1-1-10000000000000000
χ362222-2-2-1-2-2-1-1-111112211222-1-1-2-2-2-2-2-2-122-2-2-1-11111-1-1-1-1-1111122221111-1-1-1-1-2-1-1-2-22222-2-2111111-1-1-1-1-1-1-1-111110000000000000000
χ3722-2-22-22002-2-20000022-22-2-20022-2-22-2200002-222-2-2-2000000002-20022-2-2000002-22−22−22−22−2002−22−22−22−22−22−22−22−20000000000000000
χ3822-2-22-22002-2-20000022-22-2-20022-2-22-2200002-222-2-2-2000000002-20022-2-2000002-2−22−22−22−2200−22−22−22−22−22−22−22−220000000000000000
χ3922-2-22-22002-2-20000022-22-2-200-2-2222-2200002-222-2-2-200000000-2200-2-22200000-22−i2i2−i2i2i2−i2i2−i200−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ4022-2-22-22002-2-20000022-22-2-200-2-2222-2200002-222-2-2-200000000-2200-2-22200000-22i2−i2i2−i2−i2i2−i2i200i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ4122-2-22-2-100-11133−3−302-112-2-23−322-2-22-2-10000-11-1-111133−3−333−3−32-200-1-11133−3−30-112−22−22−22−23−3−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ1190000000000000000
χ4222-2-22-2-100-11133−3−302-112-2-23−322-2-22-2-10000-11-1-111133−3−333−3−32-200-1-11133−3−30-11−22−22−22−223−3ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ1190000000000000000
χ4322-2-22-2-100-11133−3−302-112-2-23−3-2-2222-2-10000-11-1-111133−3−333−3−3-220011-1-1−3−33301-1−i2i2−i2i2i2−i2i2−i2−33ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ1030000000000000000
χ4422-2-22-2-100-11133−3−302-112-2-23−3-2-2222-2-10000-11-1-111133−3−333−3−3-220011-1-1−3−33301-1i2−i2i2−i2−i2i2−i2i2−33−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ1030000000000000000
χ4522-2-22-2-100-111−3−33302-112-2-2−3322-2-22-2-10000-11-1-1111−3−333−3−3332-200-1-111−3−3330-112−22−22−22−2−33ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ1030000000000000000
χ4622-2-22-2-100-111−3−33302-112-2-2−3322-2-22-2-10000-11-1-1111−3−333−3−3332-200-1-111−3−3330-11−22−22−22−22−33−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ1030000000000000000
χ4722-2-22-2-100-111−3−33302-112-2-2−33-2-2222-2-10000-11-1-1111−3−333−3−333-220011-1-133−3−301-1−i2i2−i2i2i2−i2i2−i23−3ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ1190000000000000000
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χ1058-8-8800-40044-4−4i34i34i3−4i30-20022-2000000001−252500-1-1−i15i15i15−i1515−5−55i3−i3−i3i3000000000000000000000000000000000000000000000000000000000
χ1068-8-8800-40044-4−4i34i34i3−4i30-20022-200000000125−2500-1-1i15−i15−i15i151−555−5i3−i3−i3i3000000000000000000000000000000000000000000000000000000000
χ1078-8-8800-40044-44i3−4i3−4i34i30-20022-2000000001−252500-1-1i15−i15−i15i1515−5−55−i3i3i3−i3000000000000000000000000000000000000000000000000000000000
χ1088-8-8800-40044-44i3−4i3−4i34i30-20022-200000000125−2500-1-1−i15i15i15−i151−555−5−i3i3i3−i3000000000000000000000000000000000000000000000000000000000

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