Finite Group Databasebeta

← Group #14314071

Character table — Group #14314071

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11222224444455668888881010101010121212161616161616202020202020202020202020202020242424243030323240404048486060606060808080120120120
order123468851012242444242152030404028812128101061010601201206161616162424484848484848484822040402430304881010816161616122424488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-11-1-11-1-1
χ31111111111111111-11111111111111-1-1-1111111111111111111-111111-1-1-1-1-1-1-111111-1-1-1-1-1-1
χ41111111111111111-11111111111111-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-1-111-1-11-1-1-1-1-111-111
χ511111111111111-1-111111111111-1-1-1111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1111-1-1-1
χ611111111111111-1-111111111111-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111111-1-1-111
χ711111111111111-1-1-11111111111-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111
χ811111111111111-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-11111-1111-1-1
χ9111111111111-1-111111111-1-1-1-1-1111111111-1ii−i−i-1-1iiii−i−i−i−i1111-1-111-1i−i11-1ii−i−i-1i−i-1i−i
χ10111111111111-1-111111111-1-1-1-1-1111111111-1−i−iii-1-1−i−i−i−iiiii1111-1-111-1−ii11-1−i−iii-1−ii-1−ii
χ11111111111111-1-111-111111-1-1-1-1-1111-1-1-1111-1ii−i−i-1-1iiii−i−i−i−i-1111-1-1-1-11−ii-1-1-1ii−i−i1−ii1−ii
χ12111111111111-1-111-111111-1-1-1-1-1111-1-1-1111-1−i−iii-1-1−i−i−i−iiiii-1111-1-1-1-11i−i-1-1-1−i−iii1i−i1i−i
χ13111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-11111-1i−i-1-11−i−iii-1i−i1−ii
χ14111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1−i−iii-1-1−i−i−i−iiiii-1-1-1-11111-1−ii-1-11ii−i−i-1−ii1i−i
χ15111111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1111-1ii−i−i-1-1iiii−i−i−i−i1-1-1-111-1-11−ii111−i−iii1−ii-1i−i
χ16111111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1111-1−i−iii-1-1−i−i−i−iiiii1-1-1-111-1-11i−i111ii−i−i1i−i-1−ii
χ1722222-2-2222-2-222220222-2-22-2-222-2220002-2-220000-2-20000000002-2-2220000000-20000000000
χ1822222-2-2222-2-222-2-20222-2-22-2-2222-2-20002-2-220000-2-2000000000-222-2-2000000020000000000
χ1922222-2-2222-2-2-2-2220222-2-2-222-2-2-2220002-2-2-20000220000000002-2-2-2-2000000020000000000
χ2022222-2-2222-2-2-2-2-2-20222-2-2-222-2-22-2-20002-2-2-2000022000000000-222220000000-20000000000
χ21222-220022-200222-202-2200-20022022000-200-22−22−20022−2−222−2−20-200-22000000002−22−2000000
χ22222-220022-200222-202-2200-20022022000-200-2−22−2200−2−222−2−2220-200-2200000000−22−22000000
χ23222-220022-20022-2202-2200-200220-2-2000-200-22−22−20022−2−222−2−202002-200000000−22−22000000
χ24222-220022-20022-2202-2200-200220-2-2000-200-2−22−2200−2−222−2−22202002-2000000002−22−2000000
χ25222-220022-200-2-22-202-2200200-2-2022000-2002−i2i2i2−i200−i2−i2i2i2i2i2−i2−i20-2002-200000000−i2i2i2−i2000000
χ26222-220022-200-2-22-202-2200200-2-2022000-2002i2−i2−i2i200i2i2−i2−i2−i2−i2i2i20-2002-200000000i2−i2−i2i2000000
χ27222-220022-200-2-2-2202-2200200-2-20-2-2000-2002−i2i2i2−i200−i2−i2i2i2i2i2−i2−i20200-2200000000i2−i2−i2i2000000
χ28222-220022-200-2-2-2202-2200200-2-20-2-2000-2002i2−i2−i2i200i2i2−i2−i2−i2−i2i2i20200-2200000000−i2i2i2−i2000000
χ2922-12-12222-1-1-122002-12-122222-1-1000-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1000000-1-12220000000-1-1-1000
χ3022-12-12222-1-1-122002-12-122222-1-1000-122-1-1-1-1-2-2-2-2-1-111111111000000-1-12-2-20000000-111000
χ3122-12-12222-1-1-12200-2-12-122222-1-10001-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-100000011-2-2-20000000111000
χ3222-12-12222-1-1-12200-2-12-122222-1-10001-2-2-1-1-1-1-2-2-2-2-1-11111111100000011-22200000001-1-1000
χ3322-12-12222-1-1-1-2-2002-12-122-2-2-211000-122-1-1-112i2i−2i−2i11−i−i−i−iiiii000000-1-1-22i−2i00000001−ii000
χ3422-12-12222-1-1-1-2-2002-12-122-2-2-211000-122-1-1-11−2i−2i2i2i11iiii−i−i−i−i000000-1-1-2−2i2i00000001i−i000
χ3522-12-12222-1-1-1-2-200-2-12-122-2-2-2110001-2-2-1-1-112i2i−2i−2i11−i−i−i−iiiii000000112−2i2i0000000-1i−i000
χ3622-12-12222-1-1-1-2-200-2-12-122-2-2-2110001-2-2-1-1-11−2i−2i2i2i11iiii−i−i−i−i0000001122i−2i0000000-1−ii000
χ374444444-1-144400444-1-1-1-1-1000004-1-14-1-1-1-1-10000000000000004-1-1-100-1-1000-1-100000000000
χ384444444-1-14440044-4-1-1-1-1-1000004-1-1-411-1-1-1000000000000000-4-1-1-100110001100000000000
χ394444444-1-144400-4-44-1-1-1-1-100000-4114-1-1-1-1-1000000000000000-411100-1-10001100000000000
χ404444444-1-144400-4-4-4-1-1-1-1-100000-411-411-1-1-100000000000000041110011000-1-100000000000
χ4144444-4-4-1-14-4-400440-1-1-11100000-4-1-10−55-1110000000000000000-11100−55000−5500000000000
χ4244444-4-4-1-14-4-400440-1-1-11100000-4-1-105−5-1110000000000000000-111005−50005−500000000000
χ4344444-4-4-1-14-4-400-4-40-1-1-111000004110−55-11100000000000000001-1-100−550005−500000000000
χ4444444-4-4-1-14-4-400-4-40-1-1-1110000041105−5-11100000000000000001-1-1005−5000−5500000000000
χ4544-24-2-4-444-22244000-24-2-4-44-4-4-2-2000000-222-200002200000000000000000000000000000000
χ4644-24-2-4-444-222-4-4000-24-2-4-4-44422000000-22220000-2-200000000000000000000000000000000
χ4744-2-4-2004420044000-2-4-200-400-2-2000000200222−2222−2200−2−222−2−222000000000000000000000000
χ4844-2-4-2004420044000-2-4-200-400-2-20000002002−2222−22220022−2−222−2−2000000000000000000000000
χ4944-2-4-20044200-4-4000-2-4-20040022000000200-2−2i22i22i2−2i200i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ5044-2-4-20044200-4-4000-2-4-20040022000000200-22i2−2i2−2i22i200−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ514-440-422−224-4022−224i−4i00040-422−220−2i22i24i−4i000000022−2200000−2i22i200000000000000000000000000000000
χ524-440-422−224-4022−22−4i4i00040-422−2202i2−2i2−4i4i000000022−22000002i2−2i200000000000000000000000000000000
χ534-440-4−22224-40−22224i−4i00040-4−222202i2−2i24i−4i0000000−2222000002i2−2i200000000000000000000000000000000
χ544-440-4−22224-40−2222−4i4i00040-4−22220−2i22i2−4i4i0000000−222200000−2i22i200000000000000000000000000000000
χ554-4-20222−224-40−224i−4i000-20222−220−2i22i2−2i2i0000000−2200000i2−i2ζ11−ζ41−ζ43+ζ59+ζ73−ζ89−ζ91+ζ107+ζ121−ζ137−ζ139+ζ169−ζ187+ζ203+ζ217−ζ233−ζ11+ζ41+ζ43−ζ59−ζ73+ζ89+ζ91−ζ107−ζ121+ζ137+ζ139−ζ169+ζ187−ζ203−ζ217+ζ233−ζ13+ζ29−ζ31+ζ47−ζ61+ζ77−ζ79−ζ109−ζ127+ζ143−ζ157+ζ173+ζ191+ζ221−ζ223+ζ239ζ13−ζ29+ζ31−ζ47+ζ61−ζ77+ζ79+ζ109+ζ127−ζ143+ζ157−ζ173−ζ191−ζ221+ζ223−ζ239−ζ13+ζ29+ζ31−ζ47−ζ61+ζ77+ζ79−ζ109+ζ127−ζ143−ζ157+ζ173−ζ191+ζ221+ζ223−ζ239ζ13−ζ29−ζ31+ζ47+ζ61−ζ77−ζ79+ζ109−ζ127+ζ143+ζ157−ζ173+ζ191−ζ221−ζ223+ζ239−ζ11−ζ41+ζ43−ζ59+ζ73−ζ89+ζ91−ζ107+ζ121−ζ137+ζ139+ζ169+ζ187−ζ203+ζ217−ζ233ζ11+ζ41−ζ43+ζ59−ζ73+ζ89−ζ91+ζ107−ζ121+ζ137−ζ139−ζ169−ζ187+ζ203−ζ217+ζ233000000000000000000000000
χ564-4-20222−224-40−224i−4i000-20222−220−2i22i2−2i2i0000000−2200000i2−i2−ζ11+ζ41+ζ43−ζ59−ζ73+ζ89+ζ91−ζ107−ζ121+ζ137+ζ139−ζ169+ζ187−ζ203−ζ217+ζ233ζ11−ζ41−ζ43+ζ59+ζ73−ζ89−ζ91+ζ107+ζ121−ζ137−ζ139+ζ169−ζ187+ζ203+ζ217−ζ233ζ13−ζ29+ζ31−ζ47+ζ61−ζ77+ζ79+ζ109+ζ127−ζ143+ζ157−ζ173−ζ191−ζ221+ζ223−ζ239−ζ13+ζ29−ζ31+ζ47−ζ61+ζ77−ζ79−ζ109−ζ127+ζ143−ζ157+ζ173+ζ191+ζ221−ζ223+ζ239ζ13−ζ29−ζ31+ζ47+ζ61−ζ77−ζ79+ζ109−ζ127+ζ143+ζ157−ζ173+ζ191−ζ221−ζ223+ζ239−ζ13+ζ29+ζ31−ζ47−ζ61+ζ77+ζ79−ζ109+ζ127−ζ143−ζ157+ζ173−ζ191+ζ221+ζ223−ζ239ζ11+ζ41−ζ43+ζ59−ζ73+ζ89−ζ91+ζ107−ζ121+ζ137−ζ139−ζ169−ζ187+ζ203−ζ217+ζ233−ζ11−ζ41+ζ43−ζ59+ζ73−ζ89+ζ91−ζ107+ζ121−ζ137+ζ139+ζ169+ζ187−ζ203+ζ217−ζ233000000000000000000000000
χ574-4-20222−224-40−22−4i4i000-20222−2202i2−2i22i−2i0000000−2200000−i2i2−ζ13+ζ29+ζ31−ζ47−ζ61+ζ77+ζ79−ζ109+ζ127−ζ143−ζ157+ζ173−ζ191+ζ221+ζ223−ζ239ζ13−ζ29−ζ31+ζ47+ζ61−ζ77−ζ79+ζ109−ζ127+ζ143+ζ157−ζ173+ζ191−ζ221−ζ223+ζ239ζ11+ζ41−ζ43+ζ59−ζ73+ζ89−ζ91+ζ107−ζ121+ζ137−ζ139−ζ169−ζ187+ζ203−ζ217+ζ233−ζ11−ζ41+ζ43−ζ59+ζ73−ζ89+ζ91−ζ107+ζ121−ζ137+ζ139+ζ169+ζ187−ζ203+ζ217−ζ233ζ11−ζ41−ζ43+ζ59+ζ73−ζ89−ζ91+ζ107+ζ121−ζ137−ζ139+ζ169−ζ187+ζ203+ζ217−ζ233−ζ11+ζ41+ζ43−ζ59−ζ73+ζ89+ζ91−ζ107−ζ121+ζ137+ζ139−ζ169+ζ187−ζ203−ζ217+ζ233ζ13−ζ29+ζ31−ζ47+ζ61−ζ77+ζ79+ζ109+ζ127−ζ143+ζ157−ζ173−ζ191−ζ221+ζ223−ζ239−ζ13+ζ29−ζ31+ζ47−ζ61+ζ77−ζ79−ζ109−ζ127+ζ143−ζ157+ζ173+ζ191+ζ221−ζ223+ζ239000000000000000000000000
χ584-4-20222−224-40−22−4i4i000-20222−2202i2−2i22i−2i0000000−2200000−i2i2ζ13−ζ29−ζ31+ζ47+ζ61−ζ77−ζ79+ζ109−ζ127+ζ143+ζ157−ζ173+ζ191−ζ221−ζ223+ζ239−ζ13+ζ29+ζ31−ζ47−ζ61+ζ77+ζ79−ζ109+ζ127−ζ143−ζ157+ζ173−ζ191+ζ221+ζ223−ζ239−ζ11−ζ41+ζ43−ζ59+ζ73−ζ89+ζ91−ζ107+ζ121−ζ137+ζ139+ζ169+ζ187−ζ203+ζ217−ζ233ζ11+ζ41−ζ43+ζ59−ζ73+ζ89−ζ91+ζ107−ζ121+ζ137−ζ139−ζ169−ζ187+ζ203−ζ217+ζ233−ζ11+ζ41+ζ43−ζ59−ζ73+ζ89+ζ91−ζ107−ζ121+ζ137+ζ139−ζ169+ζ187−ζ203−ζ217+ζ233ζ11−ζ41−ζ43+ζ59+ζ73−ζ89−ζ91+ζ107+ζ121−ζ137−ζ139+ζ169−ζ187+ζ203+ζ217−ζ233−ζ13+ζ29−ζ31+ζ47−ζ61+ζ77−ζ79−ζ109−ζ127+ζ143−ζ157+ζ173+ζ191+ζ221−ζ223+ζ239ζ13−ζ29+ζ31−ζ47+ζ61−ζ77+ζ79+ζ109+ζ127−ζ143+ζ157−ζ173−ζ191−ζ221+ζ223−ζ239000000000000000000000000
χ594-4-202−22224-402−24i−4i000-202−222202i2−2i2−2i2i00000002−200000−i2i2−ζ13+ζ29−ζ31+ζ47−ζ61+ζ77−ζ79−ζ109−ζ127+ζ143−ζ157+ζ173+ζ191+ζ221−ζ223+ζ239ζ13−ζ29+ζ31−ζ47+ζ61−ζ77+ζ79+ζ109+ζ127−ζ143+ζ157−ζ173−ζ191−ζ221+ζ223−ζ239−ζ11+ζ41+ζ43−ζ59−ζ73+ζ89+ζ91−ζ107−ζ121+ζ137+ζ139−ζ169+ζ187−ζ203−ζ217+ζ233ζ11−ζ41−ζ43+ζ59+ζ73−ζ89−ζ91+ζ107+ζ121−ζ137−ζ139+ζ169−ζ187+ζ203+ζ217−ζ233ζ11+ζ41−ζ43+ζ59−ζ73+ζ89−ζ91+ζ107−ζ121+ζ137−ζ139−ζ169−ζ187+ζ203−ζ217+ζ233−ζ11−ζ41+ζ43−ζ59+ζ73−ζ89+ζ91−ζ107+ζ121−ζ137+ζ139+ζ169+ζ187−ζ203+ζ217−ζ233−ζ13+ζ29+ζ31−ζ47−ζ61+ζ77+ζ79−ζ109+ζ127−ζ143−ζ157+ζ173−ζ191+ζ221+ζ223−ζ239ζ13−ζ29−ζ31+ζ47+ζ61−ζ77−ζ79+ζ109−ζ127+ζ143+ζ157−ζ173+ζ191−ζ221−ζ223+ζ239000000000000000000000000
χ604-4-202−22224-402−24i−4i000-202−222202i2−2i2−2i2i00000002−200000−i2i2ζ13−ζ29+ζ31−ζ47+ζ61−ζ77+ζ79+ζ109+ζ127−ζ143+ζ157−ζ173−ζ191−ζ221+ζ223−ζ239−ζ13+ζ29−ζ31+ζ47−ζ61+ζ77−ζ79−ζ109−ζ127+ζ143−ζ157+ζ173+ζ191+ζ221−ζ223+ζ239ζ11−ζ41−ζ43+ζ59+ζ73−ζ89−ζ91+ζ107+ζ121−ζ137−ζ139+ζ169−ζ187+ζ203+ζ217−ζ233−ζ11+ζ41+ζ43−ζ59−ζ73+ζ89+ζ91−ζ107−ζ121+ζ137+ζ139−ζ169+ζ187−ζ203−ζ217+ζ233−ζ11−ζ41+ζ43−ζ59+ζ73−ζ89+ζ91−ζ107+ζ121−ζ137+ζ139+ζ169+ζ187−ζ203+ζ217−ζ233ζ11+ζ41−ζ43+ζ59−ζ73+ζ89−ζ91+ζ107−ζ121+ζ137−ζ139−ζ169−ζ187+ζ203−ζ217+ζ233ζ13−ζ29−ζ31+ζ47+ζ61−ζ77−ζ79+ζ109−ζ127+ζ143+ζ157−ζ173+ζ191−ζ221−ζ223+ζ239−ζ13+ζ29+ζ31−ζ47−ζ61+ζ77+ζ79−ζ109+ζ127−ζ143−ζ157+ζ173−ζ191+ζ221+ζ223−ζ239000000000000000000000000
χ614-4-202−22224-402−2−4i4i000-202−22220−2i22i22i−2i00000002−200000i2−i2−ζ11−ζ41+ζ43−ζ59+ζ73−ζ89+ζ91−ζ107+ζ121−ζ137+ζ139+ζ169+ζ187−ζ203+ζ217−ζ233ζ11+ζ41−ζ43+ζ59−ζ73+ζ89−ζ91+ζ107−ζ121+ζ137−ζ139−ζ169−ζ187+ζ203−ζ217+ζ233−ζ13+ζ29+ζ31−ζ47−ζ61+ζ77+ζ79−ζ109+ζ127−ζ143−ζ157+ζ173−ζ191+ζ221+ζ223−ζ239ζ13−ζ29−ζ31+ζ47+ζ61−ζ77−ζ79+ζ109−ζ127+ζ143+ζ157−ζ173+ζ191−ζ221−ζ223+ζ239ζ13−ζ29+ζ31−ζ47+ζ61−ζ77+ζ79+ζ109+ζ127−ζ143+ζ157−ζ173−ζ191−ζ221+ζ223−ζ239−ζ13+ζ29−ζ31+ζ47−ζ61+ζ77−ζ79−ζ109−ζ127+ζ143−ζ157+ζ173+ζ191+ζ221−ζ223+ζ239−ζ11+ζ41+ζ43−ζ59−ζ73+ζ89+ζ91−ζ107−ζ121+ζ137+ζ139−ζ169+ζ187−ζ203−ζ217+ζ233ζ11−ζ41−ζ43+ζ59+ζ73−ζ89−ζ91+ζ107+ζ121−ζ137−ζ139+ζ169−ζ187+ζ203+ζ217−ζ233000000000000000000000000
χ624-4-202−22224-402−2−4i4i000-202−22220−2i22i22i−2i00000002−200000i2−i2ζ11+ζ41−ζ43+ζ59−ζ73+ζ89−ζ91+ζ107−ζ121+ζ137−ζ139−ζ169−ζ187+ζ203−ζ217+ζ233−ζ11−ζ41+ζ43−ζ59+ζ73−ζ89+ζ91−ζ107+ζ121−ζ137+ζ139+ζ169+ζ187−ζ203+ζ217−ζ233ζ13−ζ29−ζ31+ζ47+ζ61−ζ77−ζ79+ζ109−ζ127+ζ143+ζ157−ζ173+ζ191−ζ221−ζ223+ζ239−ζ13+ζ29+ζ31−ζ47−ζ61+ζ77+ζ79−ζ109+ζ127−ζ143−ζ157+ζ173−ζ191+ζ221+ζ223−ζ239−ζ13+ζ29−ζ31+ζ47−ζ61+ζ77−ζ79−ζ109−ζ127+ζ143−ζ157+ζ173+ζ191+ζ221−ζ223+ζ239ζ13−ζ29+ζ31−ζ47+ζ61−ζ77+ζ79+ζ109+ζ127−ζ143+ζ157−ζ173−ζ191−ζ221+ζ223−ζ239ζ11−ζ41−ζ43+ζ59+ζ73−ζ89−ζ91+ζ107+ζ121−ζ137−ζ139+ζ169−ζ187+ζ203+ζ217−ζ233−ζ11+ζ41+ζ43−ζ59−ζ73+ζ89+ζ91−ζ107−ζ121+ζ137+ζ139−ζ169+ζ187−ζ203−ζ217+ζ233000000000000000000000000
χ63888-8800-2-2-800008-80-22-200000000-2-2000200000000000000000020000000000000000000000
χ64888-8800-2-2-80000-880-22-200000000220002000000000000000000-20000000000000000000000
χ6588-48-488-2-2-4-4-4000081-21-2-200000000-4-2-2111000000000000000000000110000000000000000
χ6688-48-488-2-2-4-4-40000-81-21-2-200000000422111000000000000000000000-1-10000000000000000
χ6788-48-4-8-8-2-2-444000001-2122000000000−25251-1-10000000000000000000005−50000000000000000
χ6888-48-4-8-8-2-2-444000001-212200000000025−251-1-1000000000000000000000−550000000000000000
χ698-880-842−42-22042−4200000-202−22000000−25250000−220000000000000000010−1000000000000000000000
χ708-880-842−42-22042−4200000-202−2200000025−250000−2200000000000000000−101000000000000000000000
χ718-880-8−4242-220−424200000-2022−2000000−252500002−200000000000000000−101000000000000000000000
χ728-880-8−4242-220−424200000-2022−200000025−2500002−20000000000000000010−1000000000000000000000
χ731616-8-16-800-4-4800000002420000000000000-200000000000000000000000000000000000000000
χ7416-16-80882−82-440−42420000020-2−22220000000000002−2000000000000000000000000000000000000000
χ7516-16-808−8282-44042−420000020-222−22000000000000−22000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 240 (ζ240 = 1); i = ζ60.