Finite Group Databasebeta

← Group #14278116

Character table — Group #14278116

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222224444444444888888888888888888888882020202020202020242424242424242424244040404040404040404040404040120120120120120120
order1222223666566101010101010104121215202020203030303030303060606060606060602244121212124420202020202020206688882424242424242424444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1ii−i−iiiii−i−i−i−i-1-1ii−i−i
χ61111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1−i−iii−i−i−i−iiiii-1-1−i−iii
χ71111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i11−i−iii
χ81111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii11ii−i−i
χ922222222222222222222-2-2-22-2-2-2-22222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2000000000022000000000000000000
χ1022222222222222222222-2-2-22-2-2-2-22222222-2-2-2-2-2-2-2-2-2-22222220000000000-2-2000000000000000000
χ11222222-1-1-1-12-1-122222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000000000-1-12222-1-1-1-1-1-1-1-1000000
χ12222222-1-1-1-12-1-122222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000000000-1-1-2-2-2-211111111000000
χ13222222-1-1-1-12-1-122222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000000000112i2i−2i−2i−i−i−i−iiiii000000
χ14222222-1-1-1-12-1-122222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111000000000011−2i−2i2i2iiiii−i−i−i−i000000
χ15222222-1-1-1-12-1-12222222-211-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-211110000000000-1-1000033−3−333−3−3000000
χ16222222-1-1-1-12-1-12222222-211-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-211110000000000-1-10000−3−333−3−333000000
χ17222222-1-1-1-12-1-12222222-211-1-2-2-2-2-1-1-1-1-1-1-111111111-2-222-1-1-1-10000000000110000−i3−i3i3i3i3i3−i3−i3000000
χ18222222-1-1-1-12-1-12222222-211-1-2-2-2-2-1-1-1-1-1-1-111111111-2-222-1-1-1-10000000000110000i3i3−i3−i3−i3−i3i3i3000000
χ192-2-222-222-2-222-2222-2-2-2-200020000222-2-2-2-200000000002i−2i2i2i−2i−2i000000000000000000000000001−i−1+i1+i−1−i
χ202-2-222-222-2-222-2222-2-2-2-200020000222-2-2-2-200000000002i−2i2i2i−2i−2i00000000000000000000000000−1+i1−i−1−i1+i
χ212-2-222-222-2-222-2222-2-2-2-200020000222-2-2-2-20000000000−2i2i−2i−2i2i2i000000000000000000000000001+i−1−i1−i−1+i
χ222-2-222-222-2-222-2222-2-2-2-200020000222-2-2-2-20000000000−2i2i−2i−2i2i2i00000000000000000000000000−1−i1+i−1+i1−i
χ232-2-22-2222-2-22-222-2-2-2-222000200002-2-222-2-2000000002-200000000000000002-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000
χ242-2-22-2222-2-22-222-2-2-2-222000200002-2-222-2-2000000002-200000000000000002-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000
χ252-2-22-2222-2-22-222-2-2-2-222000200002-2-222-2-200000000-220000000000000000-222−2−222−22−2−22−22000000
χ262-2-22-2222-2-22-222-2-2-2-222000200002-2-222-2-200000000-220000000000000000-22−222−2−22−222−22−2000000
χ272-2-22-22-1-11121-12-2-2-2-22203−3-10000-111-1-1113333−3−3−3−32-2003−33−30000000000-11−i2i2−i2i2ζ7+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−ζ119000000
χ282-2-22-22-1-11121-12-2-2-2-22203−3-10000-111-1-1113333−3−3−3−32-2003−33−30000000000-11i2−i2i2−i2−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+ζ119000000
χ292-2-22-22-1-11121-12-2-2-2-22203−3-10000-111-1-1113333−3−3−3−3-2200−33−3300000000001-12−2−22ζ13−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−ζ119ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103000000
χ302-2-22-22-1-11121-12-2-2-2-22203−3-10000-111-1-1113333−3−3−3−3-2200−33−3300000000001-1−222−2−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+ζ119−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103000000
χ312-2-22-22-1-11121-12-2-2-2-2220−33-10000-111-1-111−3−3−3−333332-200−33−330000000000-11−i2i2−i2i2ζ13+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−ζ103000000
χ322-2-22-22-1-11121-12-2-2-2-2220−33-10000-111-1-111−3−3−3−333332-200−33−330000000000-11i2−i2i2−i2−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+ζ103000000
χ332-2-22-22-1-11121-12-2-2-2-2220−33-10000-111-1-111−3−3−3−33333-22003−33−300000000001-12−2−22−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−ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119000000
χ342-2-22-22-1-11121-12-2-2-2-2220−33-10000-111-1-111−3−3−3−33333-22003−33−300000000001-1−222−2ζ7−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+ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119000000
χ354444444444-144-1-1-1-1-1-1-1444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000044-1-1-1-1-1-1-1-100000000000000000000
χ364444444444-144-1-1-1-1-1-1-1444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-4-41111111100000000000000000000
χ374444444444-144-1-1-1-1-1-1-1-4-4-4-11111-1-1-1-1-1-1-1111111110000000000−5−5−5−5555500000000000000000000
χ384444444444-144-1-1-1-1-1-1-1-4-4-4-11111-1-1-1-1-1-1-11111111100000000005555−5−5−5−500000000000000000000
χ394444-4-444444-4-44-4-444-4-4000400004-4-4-4-4440000000000000000000000000000000000000000000000
χ404444-4-44444-1-4-4-111-1-111000-1−5−555-11111-1-1−5−555−5−5550000000000ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ11800000000000000000000
χ414444-4-44444-1-4-4-111-1-111000-1−5−555-11111-1-1−5−555−5−5550000000000−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ11800000000000000000000
χ424444-4-44444-1-4-4-111-1-111000-155−5−5-11111-1-155−5−555−5−50000000000ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ11800000000000000000000
χ434444-4-44444-1-4-4-111-1-111000-155−5−5-11111-1-155−5−555−5−50000000000−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ11800000000000000000000
χ444444-4-4-2-2-2-24224-4-444-4-4000-20000-22222-2-2000000000000−2i32i32i3−2i3000000000000000000000000000000
χ454444-4-4-2-2-2-24224-4-444-4-4000-20000-22222-2-20000000000002i3−2i3−2i32i3000000000000000000000000000000
χ4644-4-4004-44-4400-400-440000040000-40000-4400000000000000000000000000000000000000002i−2i0000
χ4744-4-4004-44-4400-400-440000040000-40000-440000000000000000000000000000000000000000−2i2i0000
χ484-44-4004-4-44400-4004-40000040000-400004-400000000000000002i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000
χ494-44-4004-4-44400-4004-40000040000-400004-40000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ504-44-4004-4-44-1001−55-11−55000-1ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ1181−55−55-11ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118000000002i−2i−ζ14−ζ28−ζ46+ζ52−ζ68−ζ86+ζ92−ζ94ζ14+ζ28+ζ46−ζ52+ζ68+ζ86−ζ92+ζ94−ζ14+ζ28−ζ46−ζ52+ζ68−ζ86−ζ92−ζ94ζ14−ζ28+ζ46+ζ52−ζ68+ζ86+ζ92+ζ94ζ4−ζ22−ζ38+ζ44−ζ62−ζ76−ζ116−ζ118−ζ4+ζ22+ζ38−ζ44+ζ62+ζ76+ζ116+ζ118−ζ4−ζ22−ζ38−ζ44−ζ62+ζ76+ζ116−ζ118ζ4+ζ22+ζ38+ζ44+ζ62−ζ76−ζ116+ζ11800000000000000000000
χ514-44-4004-4-44-1001−55-11−55000-1ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ1181−55−55-11ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ11800000000−2i2iζ14+ζ28+ζ46−ζ52+ζ68+ζ86−ζ92+ζ94−ζ14−ζ28−ζ46+ζ52−ζ68−ζ86+ζ92−ζ94ζ14−ζ28+ζ46+ζ52−ζ68+ζ86+ζ92+ζ94−ζ14+ζ28−ζ46−ζ52+ζ68−ζ86−ζ92−ζ94−ζ4+ζ22+ζ38−ζ44+ζ62+ζ76+ζ116+ζ118ζ4−ζ22−ζ38+ζ44−ζ62−ζ76−ζ116−ζ118ζ4+ζ22+ζ38+ζ44+ζ62−ζ76−ζ116+ζ118−ζ4−ζ22−ζ38−ζ44−ζ62+ζ76+ζ116−ζ11800000000000000000000
χ524-44-4004-4-44-1001−55-11−55000-1−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ1181−55−55-11−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118000000002i−2i−ζ14+ζ28−ζ46−ζ52+ζ68−ζ86−ζ92−ζ94ζ14−ζ28+ζ46+ζ52−ζ68+ζ86+ζ92+ζ94−ζ14−ζ28−ζ46+ζ52−ζ68−ζ86+ζ92−ζ94ζ14+ζ28+ζ46−ζ52+ζ68+ζ86−ζ92+ζ94−ζ4−ζ22−ζ38−ζ44−ζ62+ζ76+ζ116−ζ118ζ4+ζ22+ζ38+ζ44+ζ62−ζ76−ζ116+ζ118ζ4−ζ22−ζ38+ζ44−ζ62−ζ76−ζ116−ζ118−ζ4+ζ22+ζ38−ζ44+ζ62+ζ76+ζ116+ζ11800000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.