Finite Group Databasebeta

← Group #14282806

Character table — Group #14282806

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222224444444445555888888888888888888888810101010101010101010101020202020202020202020202020202020202020202020202020202020202424484848486060606060606060120120
order122234444666121212124510101012121212444415202020202020303030606060606060606060606060224412121212121212124668888888812122424242424242424242424242424242444202020204444444424
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
χ911111-1-1-1-1111-1-1-1-11111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1ii−i−iii−i−i11iiii−i−i−i−iiiii−i−i−i−i1-111-1-1ii−i−iii−i−i1-1
χ1011111-1-1-1-1111-1-1-1-11111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1ii−i−iii−i−i11iiii−i−i−i−iiiii−i−i−i−i-11-1-111−i−iii−i−iii-11
χ1111111-1-1-1-1111-1-1-1-11111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1−i−iii−i−iii11−i−i−i−iiiii−i−i−i−iiiii1-111-1-1−i−iii−i−iii1-1
χ1211111-1-1-1-1111-1-1-1-11111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1−i−iii−i−iii11−i−i−i−iiiii−i−i−i−iiiii-11-1-111ii−i−iii−i−i-11
χ1311111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-111-11
χ1411111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-11-1
χ1511111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-1-1-11111-1-1-11
χ1611111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-1111-1
χ172222222-2-22222222-22222-2-2-2-222222-2-222-2-2222-2-2-2-22222-2-2-2-2-2-22222222222-2-2-200000000-2-200000000000000000000000000000000
χ182222222-2-22222222-22222-2-2-2-2-2-2-2-22-2-222-2-2222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-2-2-2222000000002200000000000000000000000000000000
χ1922222-2-222222-2-2-2-2-22222-2-22222222-2-2-2-222222-2-2-2-2-2-2-2-2222222-2-22222-2-2-2-2-22200000000-2-200000000000000000000000000000000
χ2022222-2-222222-2-2-2-2-22222-2-222-2-2-2-22-2-2-2-222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-222222-2-2000000002200000000000000000000000000000000
χ212222-12222-1-1-1-1-1-1-122222-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ222222-12222-1-1-1-1-1-1-122222-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-2-2-2-2-2-2-2-2-1-111111111111111110000000000000000
χ232222-12222-1-1-1-1-1-1-122222-1-1-1-1-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2112i2i2i2i−2i−2i−2i−2i11−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ242222-12222-1-1-1-1-1-1-122222-1-1-1-1-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-211−2i−2i−2i−2i2i2i2i2i11iiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ252222-122-2-2-1-1-1-1-1-1-1-2222211112222-1-2-222-2-2-1-1-11111-1-1-1-11111-2-222-1-1-1-1-1-1-1-1-2110000000011−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ262222-122-2-2-1-1-1-1-1-1-1-2222211112222-1-2-222-2-2-1-1-11111-1-1-1-11111-2-222-1-1-1-1-1-1-1-1-2110000000011i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ272222-122-2-2-1-1-1-1-1-1-1-222221111-2-2-2-2-1-2-222-2-2-1-1-11111-1-1-1-1111122-2-2111111112-1-100000000-1-133−3−333−3−3−3−333−3−3330000000000000000
χ282222-122-2-2-1-1-1-1-1-1-1-222221111-2-2-2-2-1-2-222-2-2-1-1-11111-1-1-1-1111122-2-2111111112-1-100000000-1-1−3−333−3−33333−3−333−3−30000000000000000
χ292222-1-2-222-1-1-11111-2222211-1-12222-1-2-2-2-222-1-1-111111111-1-1-1-122-2-2-1-1-1-11111-2-1-1000000001133−3−3−3−33333−3−3−3−3330000000000000000
χ302222-1-2-222-1-1-11111-2222211-1-12222-1-2-2-2-222-1-1-111111111-1-1-1-122-2-2-1-1-1-11111-2-1-10000000011−3−33333−3−3−3−33333−3−30000000000000000
χ312222-1-2-222-1-1-11111-2222211-1-1-2-2-2-2-1-2-2-2-222-1-1-111111111-1-1-1-1-2-2221111-1-1-1-121100000000-1-1−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ322222-1-2-222-1-1-11111-2222211-1-1-2-2-2-2-1-2-2-2-222-1-1-111111111-1-1-1-1-2-2221111-1-1-1-121100000000-1-1i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ332222-1-2-2-2-2-1-1-1111122222-1-1112222-122-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-111112112i2i−2i−2i2i2i−2i−2i-1-1−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ342222-1-2-2-2-2-1-1-1111122222-1-1112222-122-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-11111211−2i−2i2i2i−2i−2i2i2i-1-1iiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ352222-1-2-2-2-2-1-1-1111122222-1-111-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-11111111122221111-1-1-1-1-2-1-122-2-2-2-22211-1-1-1-111111111-1-1-1-10000000000000000
χ362222-1-2-2-2-2-1-1-1111122222-1-111-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-11111111122221111-1-1-1-1-2-1-1-2-22222-2-2111111-1-1-1-1-1-1-1-111110000000000000000
χ3722-2-22002i−2i2-2-2000002-22-2002i−2i2i2i−2i−2i200002i−2i2-2-2000000002i2i−2i−2i2-2002i2i−2i−2i000002-22−2−i2i2−i2i22−2002−22−2−i2i2−i2i2−i2i2−i2i22−22−20000000000000000
χ3822-2-22002i−2i2-2-2000002-22-2002i−2i2i2i−2i−2i200002i−2i2-2-2000000002i2i−2i−2i2-2002i2i−2i−2i000002-2−22i2−i2i2−i2−2200−22−22i2−i2i2−i2i2−i2i2−i2−22−220000000000000000
χ3922-2-22002i−2i2-2-2000002-22-2002i−2i−2i−2i2i2i200002i−2i2-2-2000000002i2i−2i−2i-2200−2i−2i2i2i00000-22−i2i2−222−2i2−i200−i2i2−i2i2−22−222−22−2i2−i2i2−i20000000000000000
χ4022-2-22002i−2i2-2-2000002-22-2002i−2i−2i−2i2i2i200002i−2i2-2-2000000002i2i−2i−2i-2200−2i−2i2i2i00000-22i2−i22−2−22−i2i200i2−i2i2−i22−22−2−22−22−i2i2−i2i20000000000000000
χ4122-2-2200−2i2i2-2-2000002-22-200−2i2i2i2i−2i−2i20000−2i2i2-2-200000000−2i−2i2i2i-22002i2i−2i−2i00000-22−i2i22−2−22i2−i200−i2i2−i2i22−22−2−22−22i2−i2i2−i20000000000000000
χ4222-2-2200−2i2i2-2-2000002-22-200−2i2i2i2i−2i−2i20000−2i2i2-2-200000000−2i−2i2i2i-22002i2i−2i−2i00000-22i2−i2−222−2−i2i200i2−i2i2−i2−22−222−22−2−i2i2−i2i20000000000000000
χ4322-2-2200−2i2i2-2-2000002-22-200−2i2i−2i−2i2i2i20000−2i2i2-2-200000000−2i−2i2i2i2-200−2i−2i2i2i000002-22−2i2−i2i2−i22−2002−22−2i2−i2i2−i2i2−i2i2−i22−22−20000000000000000
χ4422-2-2200−2i2i2-2-2000002-22-200−2i2i−2i−2i2i2i20000−2i2i2-2-200000000−2i−2i2i2i2-200−2i−2i2i2i000002-2−22−i2i2−i2i2−2200−22−22−i2i2−i2i2−i2i2−i2i2−22−220000000000000000
χ4522-2-2-1002i−2i-111−i3−i3i3i302-22-23−3−ii2i2i−2i−2i-100002i−2i-11133−3−3−i3−i3i3i3−i−iii2-200−i−iii33−3−30-112−2−i2i2−i2i22−2−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+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−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−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
χ4622-2-2-1002i−2i-111−i3−i3i3i302-22-23−3−ii2i2i−2i−2i-100002i−2i-11133−3−3−i3−i3i3i3−i−iii2-200−i−iii33−3−30-11−22i2−i2i2−i2−22−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−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−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−ζ119ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ1030000000000000000
χ4722-2-2-1002i−2i-111−i3−i3i3i302-22-23−3−ii−2i−2i2i2i-100002i−2i-11133−3−3−i3−i3i3i3−i−iii-2200ii−i−i−3−33301-1−i2i2−222−2i2−i2i3−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−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−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+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ1190000000000000000
χ4822-2-2-1002i−2i-111−i3−i3i3i302-22-23−3−ii−2i−2i2i2i-100002i−2i-11133−3−3−i3−i3i3i3−i−iii-2200ii−i−i−3−33301-1i2−i22−2−22−i2i2i3−i3−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+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−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−ζ1190000000000000000
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χ908888-4-8-8-8-8-4-4-444448-2-2-2-2-4-44400001-2-222221111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ9188-8-88008i−8i8-8-800000-22-22008i−8i0000-20000−2i2i-22200000000−2i−2i2i2i000000000000000000000000000000000000000000000000000000000
χ9288-8-8800−8i8i8-8-800000-22-2200−8i8i0000-200002i−2i-222000000002i2i−2i−2i000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4008i−8i-444−4i3−4i34i34i30-22-2243−43−4i4i000010000−2i2i1-1-1−3−333i3i3−i3−i3ii−i−i000000000000000000000000000000000000000000000000000000000
χ9488-8-8-4008i−8i-4444i34i3−4i3−4i30-22-22−4343−4i4i000010000−2i2i1-1-133−3−3−i3−i3i3i3ii−i−i000000000000000000000000000000000000000000000000000000000
χ9588-8-8-400−8i8i-444−4i3−4i34i34i30-22-22−43434i−4i0000100002i−2i1-1-133−3−3i3i3−i3−i3−i−iii000000000000000000000000000000000000000000000000000000000
χ9688-8-8-400−8i8i-4444i34i3−4i3−4i30-22-2243−434i−4i0000100002i−2i1-1-1−3−333−i3−i3i3i3−i−iii000000000000000000000000000000000000000000000000000000000
χ978-88-888i−8i00-88-88i−8i8i−8i0-222-200000000-200−2i2i002-220000−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000
χ988-88-88−8i8i00-88-8−8i8i−8i8i0-222-200000000-2002i−2i002-2200002i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000
χ998-88-8-48i−8i004-44−4i4i−4i4i0-222-200000000100−2i2i00-11-1−1515−1515i−ii−i−i15i15−i15i15000000000000000000000000000000000000000000000000000000000
χ1008-88-8-48i−8i004-44−4i4i−4i4i0-222-200000000100−2i2i00-11-115−1515−15i−ii−ii15−i15i15−i15000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4−8i8i004-444i−4i4i−4i0-222-2000000001002i−2i00-11-1−1515−1515−ii−iii15−i15i15−i15000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4−8i8i004-444i−4i4i−4i0-222-2000000001002i−2i00-11-115−1515−15−ii−ii−i15i15−i15i15000000000000000000000000000000000000000000000000000000000
χ1038-8-8880000-8-8800000-2-22200000000-2−2525000022-2−252525−2500000000000000000000000000000000000000000000000000000000000000000
χ1048-8-8880000-8-8800000-2-22200000000-225−25000022-225−25−252500000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-4000044-443−43−43430-2-222000000001−25250000-1-115−5−55−333−3−151515−15000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4000044-443−43−43430-2-22200000000125−250000-1-11−555−5−333−315−15−1515000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4000044-4−434343−430-2-222000000001−25250000-1-115−5−553−3−3315−15−1515000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4000044-4−434343−430-2-22200000000125−250000-1-11−555−53−3−33−151515−15000000000000000000000000000000000000000000000000000000000

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