Finite Group Databasebeta

← Group #11754111

Character table — Group #11754111

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size112222222444444444466888888888888888101012121212121212161616162020202020242424242424303030304040406060
order123455610104481215152020303024121220202020244040606012012012012024248101020206060606024681210102020404024886122444
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111111111111111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111-1-1
χ41111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ51111111111-1-11111111111-111-1-1-1-1-111-1-1-1-1111-1-1111111-1-1-111-1111-1-1-1-111-1-1-11-11-1
χ61111111111-1-11111111111-111-1-1-1-1-111-1-1-1-1-1-11-1-1111111-1-11-1-11-111-1-1-1-1-1-1111-11-11
χ71111111111-1-11111111-1-11-111-1-1-1-1-111-1-1-1-111-111-1-1-1-111-1-1-111-11-1-11111-1-111-11-1-11
χ81111111111-1-11111111-1-11-111-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111-1-11-1-11-1-1-1111111-1-11-111-1
χ9111111111-11-1111111111-11-1-111-1-1-111-1-1-1-111-11-11111-1-1111-11-11-1-111-1-111-1-11-1-1-11
χ10111111111-11-1111111111-11-1-111-1-1-111-1-1-1-1-1-1-11-11111-1-111-11-11-1-1-111-1-1-1-111-1111-1
χ11111111111-11-11111111-1-1-11-1-111-1-1-111-1-1-1-1111-11-1-1-1-1-1-1111-11-1111-1-111-1-1111-1-11-1
χ12111111111-11-11111111-1-1-11-1-111-1-1-111-1-1-1-1-1-11-11-1-1-1-1-1-111-11-11-111-1-11111-1-1-111-11
χ13111111111-1-11111111111-1-1-1-1-1-111111111111-1-111111-1-1-1-1-1-1111-1-1-1-1111111-1-11-1-1
χ14111111111-1-11111111111-1-1-1-1-1-1111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111-111
χ15111111111-1-111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111
χ16111111111-1-111111111-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1111111-1-1-1
χ172222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000−1−52−1+52−1−52−1+52−1−52−1+52000000000
χ182222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-2-2-21+521−521+521−52−1−52−1+52−1−52−1+52000001+521−521+521−521+521−52000000000
χ192222−1−52−1+522−1−52−1+522-2-22−1−52−1+52−1−52−1+52−1−52−1+52222-2−1−52−1+521+521−52-21+521−52−1−52−1+521+521+521−521−52002-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−5200000−1−52−1+521+521−521+521−52000000000
χ202222−1−52−1+522−1−52−1+522-2-22−1−52−1+52−1−52−1+52−1−52−1+52-2-22-2−1−52−1+521+521−52-21+521−52−1−52−1+521+521+521−521−5200-2221+521−521+521−52−1−52−1+521+521−52000001+521−52−1−52−1+52−1−52−1+52000000000
χ212222−1−52−1+522−1−52−1+52-22-22−1−52−1+52−1−52−1+52−1−52−1+5222-221+521−52−1−52−1+52-21+521−52−1−52−1+521+521+521−521−5200-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52000001+521−52−1−52−1+521+521−52000000000
χ222222−1−52−1+522−1−52−1+52-22-22−1−52−1+52−1−52−1+52−1−52−1+52-2-2-221+521−52−1−52−1+52-21+521−52−1−52−1+521+521+521−521−52002-221+521−521+521−521+521−52−1−52−1+5200000−1−52−1+521+521−52−1−52−1+52000000000
χ232222−1−52−1+522−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+5222-2-21+521−521+521−522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-2-22−1−52−1+52−1−52−1+521+521−521+521−52000001+521−521+521−52−1−52−1+52000000000
χ242222−1−52−1+522−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521−521+521−522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520022-21+521−521+521−521+521−521+521−5200000−1−52−1+52−1−52−1+521+521−52000000000
χ252222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000−1+52−1−52−1+52−1−52−1+52−1−52000000000
χ262222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-2-2-21−521+521−521+52−1+52−1−52−1+52−1−52000001−521+521−521+521−521+52000000000
χ272222−1+52−1−522−1+52−1−522-2-22−1+52−1−52−1+52−1−52−1+52−1−52222-2−1+52−1−521−521+52-21−521+52−1+52−1−521−521−521+521+52002-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+5200000−1+52−1−521−521+521−521+52000000000
χ282222−1+52−1−522−1+52−1−522-2-22−1+52−1−52−1+52−1−52−1+52−1−52-2-22-2−1+52−1−521−521+52-21−521+52−1+52−1−521−521−521+521+5200-2221−521+521−521+52−1+52−1−521−521+52000001−521+52−1+52−1−52−1+52−1−52000000000
χ292222−1+52−1−522−1+52−1−52-22-22−1+52−1−52−1+52−1−52−1+52−1−5222-221−521+52−1+52−1−52-21−521+52−1+52−1−521−521−521+521+5200-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52000001−521+52−1+52−1−521−521+52000000000
χ302222−1+52−1−522−1+52−1−52-22-22−1+52−1−52−1+52−1−52−1+52−1−52-2-2-221−521+52−1+52−1−52-21−521+52−1+52−1−521−521−521+521+52002-221−521+521−521+521−521+52−1+52−1−5200000−1+52−1−521−521+52−1+52−1−52000000000
χ312222−1+52−1−522−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−5222-2-21−521+521−521+522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-2-22−1+52−1−52−1+52−1−521−521+521−521+52000001−521+521−521+52−1+52−1−52000000000
χ322222−1+52−1−522−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521+521−521+522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520022-21−521+521−521+521−521+521−521+5200000−1+52−1−52−1+52−1−521−521+52000000000
χ33222-222222000-222-2-2222-2000000000-2-200002-200022-2-200000020-2000000-220000000
χ34222-222222000-222-2-2222-2000000000-2-20000-2200022-2-2000000-2020000002-20000000
χ35222-222222000-222-2-222-22000000000-2-200002-2000-2-22200000020-20000002-20000000
χ36222-222222000-222-2-222-22000000000-2-20000-22000-2-222000000-202000000-220000000
χ3722-1222-122222-1-1-122-1-100-1-12222-122-1-1-1-1-1-1220000000-1-1-1-122-12-10000000000-1-1-100
χ3822-1222-122222-1-1-122-1-100-1-12222-122-1-1-1-1-1-1-2-20000000-1-1-1-1-2-21-21000000000011100
χ3922-1222-1222-2-2-1-1-122-1-100-1122-2-21-2-2-1-11111220000000-1-111-22-1-2-100000000001-1100
χ4022-1222-1222-2-2-1-1-122-1-100-1122-2-21-2-2-1-11111-2-20000000-1-1112-21210000000000-11-100
χ4122-1222-122-22-2-1-1-122-1-1001-1-2-2221-2-2-1-1111122000000011-1-12-2-1-2-10000000000-11100
χ4222-1222-122-22-2-1-1-122-1-1001-1-2-2221-2-2-1-11111-2-2000000011-1-1-2212100000000001-1-100
χ4322-1222-122-2-22-1-1-122-1-10011-2-2-2-2-122-1-1-1-1-1-12200000001111-2-2-12-1000000000011-100
χ4422-1222-122-2-22-1-1-122-1-10011-2-2-2-2-122-1-1-1-1-1-1-2-200000001111221-210000000000-1-1100
χ45444-4−1−5−1+54−1−5−1+5000-4−1−5−1+51+51−5−1−5−1+54-40000000001+51−5000000000−1−5−1+51+51−5000000000000000000000000
χ46444-4−1−5−1+54−1−5−1+5000-4−1−5−1+51+51−5−1−5−1+5-440000000001+51−50000000001+51−5−1−5−1+5000000000000000000000000
χ47444-4−1+5−1−54−1+5−1−5000-4−1+5−1−51−51+5−1+5−1−54-40000000001−51+5000000000−1+5−1−51−51+5000000000000000000000000
χ48444-4−1+5−1−54−1+5−1−5000-4−1+5−1−51−51+5−1+5−1−5-440000000001−51+50000000001−51+5−1+5−1−5000000000000000000000000
χ4944-24−1−5−1+5-2−1−5−1+5444-21+521−52−1−5−1+51+521−5200-2-2−1−5−1+5−1−5−1+5-2−1−5−1+51+521−521+521+521−521−520000000001+521−521+521−5200000000000000000000
χ5044-24−1−5−1+5-2−1−5−1+54-4-4-21+521−52−1−5−1+51+521−5200-22−1−5−1+51+51−521+51−51+521−52−1−52−1−52−1+52−1+520000000001+521−52−1−52−1+5200000000000000000000
χ5144-24−1−5−1+5-2−1−5−1+5-44-4-21+521−52−1−5−1+51+521−52002-21+51−5−1−5−1+521+51−51+521−52−1−52−1−52−1+52−1+52000000000−1−52−1+521+521−5200000000000000000000
χ5244-24−1−5−1+5-2−1−5−1+5-4-44-21+521−52−1−5−1+51+521−5200221+51−51+51−5-2−1−5−1+51+521−521+521+521−521−52000000000−1−52−1+52−1−52−1+5200000000000000000000
χ5344-24−1+5−1−5-2−1+5−1−5444-21−521+52−1+5−1−51−521+5200-2-2−1+5−1−5−1+5−1−5-2−1+5−1−51−521+521−521−521+521+520000000001−521+521−521+5200000000000000000000
χ5444-24−1+5−1−5-2−1+5−1−54-4-4-21−521+52−1+5−1−51−521+5200-22−1+5−1−51−51+521−51+51−521+52−1+52−1+52−1−52−1−520000000001−521+52−1+52−1−5200000000000000000000
χ5544-24−1+5−1−5-2−1+5−1−5-44-4-21−521+52−1+5−1−51−521+52002-21−51+5−1+5−1−521−51+51−521+52−1+52−1+52−1−52−1−52000000000−1+52−1−521−521+5200000000000000000000
χ5644-24−1+5−1−5-2−1+5−1−5-4-44-21−521+52−1+5−1−51−521+5200221−51+51−51+5-2−1+5−1−51−521+521−521−521+521+52000000000−1+52−1−52−1+52−1−5200000000000000000000
χ5744-2-444-2440002-2-2-4-4-2-2000000000002200004-40000000000000-202000000000000000
χ5844-2-444-2440002-2-2-4-4-2-200000000000220000-44000000000000020-2000000000000000
χ594-44044-4-4-400004400-4-4000000000000000000000000000000000000000000022−2200000
χ604-44044-4-4-400004400-4-40000000000000000000000000000000000000000000−222200000
χ6188-4-8−2−25−2+25-4−2−25−2+2500041+51−52+252−251+51−500000000000−1−5−1+50000000000000000000000000000000000000
χ6288-4-8−2+25−2−25-4−2+25−2−2500041−51+52−252+251−51+500000000000−1+5−1−50000000000000000000000000000000000000
χ638-880−2−25−2+25-82+252−250000−2−25−2+25002+252−2500000000000000000000000000000000000000000000000000
χ648-880−2+25−2−25-82−252+250000−2+25−2−25002−252+2500000000000000000000000000000000000000000000000000
χ658-8-40884-8-80000-4-4004400000000000000000000000000000000000000000000000000
χ668-8-40−2−25−2+2542+252−2500001+51−500−1−5−1+50000000000000−ζ7−ζ13−ζ23+ζ37+ζ47+ζ53−ζ77+ζ103ζ7+ζ13+ζ23−ζ37−ζ47−ζ53+ζ77−ζ103−ζ29+ζ31−ζ61−ζ71−ζ79+ζ101+ζ109+ζ119ζ29−ζ31+ζ61+ζ71+ζ79−ζ101−ζ109−ζ119000000000000000000000000000000000
χ678-8-40−2−25−2+2542+252−2500001+51−500−1−5−1+50000000000000ζ7+ζ13+ζ23−ζ37−ζ47−ζ53+ζ77−ζ103−ζ7−ζ13−ζ23+ζ37+ζ47+ζ53−ζ77+ζ103ζ29−ζ31+ζ61+ζ71+ζ79−ζ101−ζ109−ζ119−ζ29+ζ31−ζ61−ζ71−ζ79+ζ101+ζ109+ζ119000000000000000000000000000000000
χ688-8-40−2+25−2−2542−252+2500001−51+500−1+5−1−50000000000000−ζ29+ζ31−ζ61−ζ71−ζ79+ζ101+ζ109+ζ119ζ29−ζ31+ζ61+ζ71+ζ79−ζ101−ζ109−ζ119ζ7+ζ13+ζ23−ζ37−ζ47−ζ53+ζ77−ζ103−ζ7−ζ13−ζ23+ζ37+ζ47+ζ53−ζ77+ζ103000000000000000000000000000000000
χ698-8-40−2+25−2−2542−252+2500001−51+500−1+5−1−50000000000000ζ29−ζ31+ζ61+ζ71+ζ79−ζ101−ζ109−ζ119−ζ29+ζ31−ζ61−ζ71−ζ79+ζ101+ζ109+ζ119−ζ7−ζ13−ζ23+ζ37+ζ47+ζ53−ζ77+ζ103ζ7+ζ13+ζ23−ζ37−ζ47−ζ53+ζ77−ζ103000000000000000000000000000000000

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