Finite Group Databasebeta

← Group #14307268

Character table — Group #14307268

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222224444444445555888888888888888888888810101010101010101010101020202020202020202020202020202020202020202020202020202020202424484848486060606060606060120120
order1222344446661212121245101010121212122222152020202020203030306060606060606060606060604444666612121212488888888121212122424242424242424242424242424242444202020204444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111111iiii−i−i−i−i-1-1
χ61111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1−i−i−i−iiiii11
χ71111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−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−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1iiii−i−i−i−i11
χ91111111-1-11111111-11111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1111111111-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-11-1
χ101111111-1-11111111-11111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1111111111-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-111-1-111-11
χ111111111-1-11111111-11111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-1-1-111-1-1111-1
χ121111111-1-11111111-11111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-11111-1-111-1-1-11
χ131111111-1-11111111-11111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii1-111-1-1ii−i−i−i−iii-11
χ141111111-1-11111111-11111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii-11-1-111−i−iiiii−i−i1-1
χ151111111-1-11111111-11111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i1-111-1-1−i−iiiii−i−i-11
χ161111111-1-11111111-11111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i-11-1-111ii−i−i−i−iii1-1
χ1722222-2-222222-2-2-2-2-2222222-2-222222-2-222-2-2222-2-2-2-22222-2-2-2-2-222-22222-2-2-2-2-20000000022-2-200000000000000000000000000000000
χ1822222-2-222222-2-2-2-2-2222222-2-2-2-2-2-22-2-222-2-2222-2-2-2-22222-2-2-2-22-2-22-2-2-2-22222200000000-2-22200000000000000000000000000000000
χ1922222-2-2-2-2222-2-2-2-222222-2-22222222-2-2-2-222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2200000000-2-22200000000000000000000000000000000
χ2022222-2-2-2-2222-2-2-2-222222-2-222-2-2-2-22-2-2-2-222222-2-2-2-2-2-2-2-222222222-2-2-2-22222-20000000022-2-200000000000000000000000000000000
χ212222-12222-1-1-1-1-1-1-122222-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ222222-12222-1-1-1-1-1-1-122222-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000000000000000
χ232222-12222-1-1-1-1-1-1-122222-1-1-1-1-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-22i2i2i2i−2i−2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ242222-12222-1-1-1-1-1-1-122222-1-1-1-1-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2−2i−2i−2i−2i2i2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ252222-122-2-2-1-1-1-1-1-1-1-2222211112222-122-2-2-2-2-1-1-1-1-1-1-1111111112-2-22-1-1-1-1-1-1-1-1-222-2-222-2-21111-1-1-1-11111-1-1-1-111110000000000000000
χ262222-122-2-2-1-1-1-1-1-1-1-2222211112222-122-2-2-2-2-1-1-1-1-1-1-1111111112-2-22-1-1-1-1-1-1-1-1-2-2-222-2-22211111111-1-1-1-11111-1-1-1-10000000000000000
χ272222-122-2-2-1-1-1-1-1-1-1-222221111-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-111111111-222-21111111122i2i−2i−2i−2i−2i2i2i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ282222-122-2-2-1-1-1-1-1-1-1-222221111-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-111111111-222-2111111112−2i−2i2i2i2i2i−2i−2i-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ292222-1-2-222-1-1-11111-22222-1-1112222-1-2-222-2-2-1-1-11111-1-1-1-11111-222-2-1-1-1-11111-200000000-1-11133−3−333−3−333−3−333−3−30000000000000000
χ302222-1-2-222-1-1-11111-22222-1-1112222-1-2-222-2-2-1-1-11111-1-1-1-11111-222-2-1-1-1-11111-200000000-1-111−3−333−3−333−3−333−3−3330000000000000000
χ312222-1-2-222-1-1-11111-22222-1-111-2-2-2-2-1-2-222-2-2-1-1-11111-1-1-1-111112-2-221111-1-1-1-120000000011-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ322222-1-2-222-1-1-11111-22222-1-111-2-2-2-2-1-2-222-2-2-1-1-11111-1-1-1-111112-2-221111-1-1-1-120000000011-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ332222-1-2-2-2-2-1-1-111112222211-1-12222-1-2-2-2-222-1-1-111111111-1-1-1-1-2-2-2-2-1-1-1-1111120000000011-1-133−3−3−3−33333−3−3−3−3330000000000000000
χ342222-1-2-2-2-2-1-1-111112222211-1-12222-1-2-2-2-222-1-1-111111111-1-1-1-1-2-2-2-2-1-1-1-1111120000000011-1-1−3−33333−3−3−3−33333−3−30000000000000000
χ352222-1-2-2-2-2-1-1-111112222211-1-1-2-2-2-2-1-2-2-2-222-1-1-111111111-1-1-1-122221111-1-1-1-1-200000000-1-111−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ362222-1-2-2-2-2-1-1-111112222211-1-1-2-2-2-2-1-2-2-2-222-1-1-111111111-1-1-1-122221111-1-1-1-1-200000000-1-111i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ3722-2-222-2002-2-222-2-2022-2-200002-22-222-200002-2-222-2-200000000200-222-2-222-2-200000000000000000000000000000000000002-2002-200
χ3822-2-222-2002-2-222-2-2022-2-200002-22-222-200002-2-222-2-200000000200-222-2-222-2-20000000000000000000000000000000000000-2200-2200
χ3922-2-222-2002-2-222-2-2022-2-20000-22-2222-200002-2-222-2-200000000-2002-2-222-2-22200000000000000000000000000000000000002i−2i00−2i2i00
χ4022-2-222-2002-2-222-2-2022-2-20000-22-2222-200002-2-222-2-200000000-2002-2-222-2-2220000000000000000000000000000000000000−2i2i002i−2i00
χ4122-2-22-22002-2-2-2-222022-2-200002-22-22-2200002-2-2-2-22200000000-200222-2-2-2-222000000000000000000000000000000000002i−2i002i−2i0000
χ4222-2-22-22002-2-2-2-222022-2-200002-22-22-2200002-2-2-2-22200000000-200222-2-2-2-22200000000000000000000000000000000000−2i2i00−2i2i0000
χ4322-2-22-22002-2-2-2-222022-2-20000-22-222-2200002-2-2-2-22200000000200-2-2-22222-2-2000000000000000000000000000000000002-200-220000
χ4422-2-22-22002-2-2-2-222022-2-20000-22-222-2200002-2-2-2-22200000000200-2-2-22222-2-200000000000000000000000000000000000-22002-20000
χ452-22-22002i−2i-22-2000002-22-22i−2i002-2-222002i−2i00-22-200002i2i−2i−2i000002i−2i02-22-2000002−2−i2i22−2−i2i22i−2i002−22−2−i2i2−i2i22−22−2−i2i2−i2i20000000000000000
χ462-22-22002i−2i-22-2000002-22-22i−2i002-2-222002i−2i00-22-200002i2i−2i−2i000002i−2i02-22-200000−22i2−i2−22i2−i22i−2i00−22−22i2−i2i2−i2−22−22i2−i2i2−i20000000000000000
χ472-22-22002i−2i-22-2000002-22-22i−2i00-222-22002i−2i00-22-200002i2i−2i−2i00000−2i2i0-22-2200000−i2i2−22i2−i22−2−2i2i00−i2i2−i2i2−22−22i2−i2i2−i22−22−20000000000000000
χ482-22-22002i−2i-22-2000002-22-22i−2i00-222-22002i−2i00-22-200002i2i−2i−2i00000−2i2i0-22-2200000i2−i22−2−i2i2−22−2i2i00i2−i2i2−i22−22−2−i2i2−i2i2−22−220000000000000000
χ492-22-2200−2i2i-22-2000002-22-2−2i2i002-2-22200−2i2i00-22-20000−2i−2i2i2i00000−2i2i02-22-2000002−2i2−i22−2i2−i2−2i2i002−22−2i2−i2i2−i22−22−2i2−i2i2−i20000000000000000
χ502-22-2200−2i2i-22-2000002-22-2−2i2i002-2-22200−2i2i00-22-20000−2i−2i2i2i00000−2i2i02-22-200000−22−i2i2−22−i2i2−2i2i00−22−22−i2i2−i2i2−22−22−i2i2−i2i20000000000000000
χ512-22-2200−2i2i-22-2000002-22-2−2i2i00-222-2200−2i2i00-22-20000−2i−2i2i2i000002i−2i0-22-2200000−i2i22−2i2−i2−222i−2i00−i2i2−i2i22−22−2i2−i2i2−i2−22−220000000000000000
χ522-22-2200−2i2i-22-2000002-22-2−2i2i00-222-2200−2i2i00-22-20000−2i−2i2i2i000002i−2i0-22-2200000i2−i2−22−i2i22−22i−2i00i2−i2i2−i2−22−22−i2i2−i2i22−22−20000000000000000
χ532-22-2-1002i−2i1-113−33−302-22-2−ii−i3i32-2-22-1002i−2i001-113−33−3−i−iii−i3−i3i3i302i−2i0-11-113−33−302−2−i2i22−2−i2i2−ii−i3i3−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+ζ119ζ13+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−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+ζ119ζ13+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
χ542-22-2-1002i−2i1-113−33−302-22-2−ii−i3i32-2-22-1002i−2i001-113−33−3−i−iii−i3−i3i3i302i−2i0-11-113−33−30−22i2−i2−22i2−i2−ii−i3i3ζ7−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−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+ζ103ζ7−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−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
χ552-22-2-1002i−2i1-113−33−302-22-2−ii−i3i3-222-2-1002i−2i001-113−33−3−i−iii−i3−i3i3i30−2i2i01-11-1−33−330−i2i2−22i2−i22−2i−ii3−i3ζ13+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−ζ103ζ7−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−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−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
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χ1018-88-8-400−8i8i4-4443−4343−430-22-224i−4i4i3−4i300001002i−2i00-11-1−33−33−i−iii−i3−i3i3i3000000000000000000000000000000000000000000000000000000000
χ1028-88-8-400−8i8i4-44−4343−43430-22-224i−4i−4i34i300001002i−2i00-11-13−33−3−i−iiii3i3−i3−i3000000000000000000000000000000000000000000000000000000000
χ1038-8-8880000-8-8800000-222-200000000-20000−2i52i522-200000000−2i52i52i5−2i5000000000000000000000000000000000000000000000000000000000
χ1048-8-8880000-8-8800000-222-200000000-200002i5−2i522-2000000002i5−2i5−2i52i5000000000000000000000000000000000000000000000000000000000
χ1058-8-88-4000044-443−43−43430-222-20000000010000−2i52i5-1-11−333−3−i15i15i15−i15i5−i5−i5i5000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4000044-443−43−43430-222-200000000100002i5−2i5-1-11−333−3i15−i15−i15i15−i5i5i5−i5000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4000044-4−434343−430-222-20000000010000−2i52i5-1-113−3−33i15−i15−i15i15i5−i5−i5i5000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4000044-4−434343−430-222-200000000100002i5−2i5-1-113−3−33−i15i15i15−i15−i5i5i5−i5000000000000000000000000000000000000000000000000000000000

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