Finite Group Databasebeta

← Group #11754107

Character table — Group #11754107

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11222222244444444444466888888888888881010101010101212121212121216161616202020202024242424242430304040606060
order123455610104481215152020242430302412122020202040406060120120120120246688248101020206060606044122424101020204040241212248
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1
χ3111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1
χ4111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ51111111111-1-111111-1-111111-111-1-1-1-111-1-1-1-11111-1-11-1-1111111-1-11-11-1-111-1-1-1-1111-1-11-1
χ61111111111-1-111111-1-111111-111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-1-11-11111-1-1-1-1-1-1-111-11
χ71111111111-1-111111-1-111-1-11-111-1-1-1-111-1-1-1-11111-1-1-111-1-1-1-111-1-11-11-1-1-1-11111-1-11-11-11
χ81111111111-1-111111-1-111-1-11-111-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1-11-111-1-1111111-11-11-1
χ9111111111-11-111111-1-11111-11-1-111-1-111-1-1-1-11111-1-1-11-11111-1-111-111-1-1-1-111-1-111-111-1-1
χ10111111111-11-111111-1-11111-11-1-111-1-111-1-1-1-1-1-1-1-111-11-11111-1-1111-1-111-1-111-1-1-1-11-1-111
χ11111111111-11-111111-1-111-1-1-11-1-111-1-111-1-1-1-11111-1-11-11-1-1-1-1-1-111-111-1-111-1-111-1-1-11-111
χ12111111111-11-111111-1-111-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1111-1-11111-1-111111-11-1-1
χ13111111111-1-1111111111111-1-1-1-1-1-111111111111111-1-111111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11
χ14111111111-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-111-1-11111-1
χ15111111111-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1
χ16111111111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111-1-11
χ172222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000−1−52−1+52−1−52−1+52−1−52−1+520000000
χ182222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+5222−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000-2-2-21+521−521+521−52−1−52−1+52−1−52−1+52000001+521−521+521−521+521−520000000
χ192222−1−52−1+522−1−52−1+522-2-22−1−52−1+52−1−52−1+52-2-2−1−52−1+52222-2−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−520000002-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−5200000−1−52−1+521+521−521+521−520000000
χ202222−1−52−1+522−1−52−1+522-2-22−1−52−1+52−1−52−1+52-2-2−1−52−1+52-2-22-2−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−52000000-2221+521−521+521−52−1−52−1+521+521−52000001+521−52−1−52−1+52−1−52−1+520000000
χ212222−1−52−1+522−1−52−1+52-22-22−1−52−1+52−1−52−1+52-2-2−1−52−1+5222-221+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52000000-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52000001+521−52−1−52−1+521+521−520000000
χ222222−1−52−1+522−1−52−1+52-22-22−1−52−1+52−1−52−1+52-2-2−1−52−1+52-2-2-221+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−520000002-221+521−521+521−521+521−52−1−52−1+5200000−1−52−1+521+521−52−1−52−1+520000000
χ232222−1−52−1+522−1−52−1+52-2-222−1−52−1+52−1−52−1+5222−1−52−1+5222-2-21+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000-2-22−1−52−1+52−1−52−1+521+521−521+521−52000001+521−521+521−52−1−52−1+520000000
χ242222−1−52−1+522−1−52−1+52-2-222−1−52−1+52−1−52−1+5222−1−52−1+52-2-2-2-21+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000022-21+521−521+521−521+521−521+521−5200000−1−52−1+52−1−52−1+521+521−520000000
χ252222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000−1+52−1−52−1+52−1−52−1+52−1−520000000
χ262222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−5222−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000-2-2-21−521+521−521+52−1+52−1−52−1+52−1−52000001−521+521−521+521−521+520000000
χ272222−1+52−1−522−1+52−1−522-2-22−1+52−1−52−1+52−1−52-2-2−1+52−1−52222-2−1+52−1−521−521+521−521+52−1+52−1−521−521−521+521+520000002-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+5200000−1+52−1−521−521+521−521+520000000
χ282222−1+52−1−522−1+52−1−522-2-22−1+52−1−52−1+52−1−52-2-2−1+52−1−52-2-22-2−1+52−1−521−521+521−521+52−1+52−1−521−521−521+521+52000000-2221−521+521−521+52−1+52−1−521−521+52000001−521+52−1+52−1−52−1+52−1−520000000
χ292222−1+52−1−522−1+52−1−52-22-22−1+52−1−52−1+52−1−52-2-2−1+52−1−5222-221−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52000000-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52000001−521+52−1+52−1−521−521+520000000
χ302222−1+52−1−522−1+52−1−52-22-22−1+52−1−52−1+52−1−52-2-2−1+52−1−52-2-2-221−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+520000002-221−521+521−521+521−521+52−1+52−1−5200000−1+52−1−521−521+52−1+52−1−520000000
χ312222−1+52−1−522−1+52−1−52-2-222−1+52−1−52−1+52−1−5222−1+52−1−5222-2-21−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000-2-22−1+52−1−52−1+52−1−521−521+521−521+52000001−521+521−521+52−1+52−1−520000000
χ322222−1+52−1−522−1+52−1−52-2-222−1+52−1−52−1+52−1−5222−1+52−1−52-2-2-2-21−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000022-21−521+521−521+521−521+521−521+5200000−1+52−1−52−1+52−1−521−521+520000000
χ33222-222222000-222-2-200222-200000000-2-200002-2220000022-2-2000000-200000000-2200000
χ34222-222222000-222-2-200222-200000000-2-20000-22-2-20000022-2-20000002000000002-200000
χ35222-222222000-222-2-20022-2200000000-2-200002-22200000-2-222000000-2000000002-200000
χ36222-222222000-222-2-20022-2200000000-2-20000-22-2-200000-2-222000000200000000-2200000
χ3722-1222-122222-1-1-122-1-1-1-100-1-1222222-1-1-1-1-1-122-1-1220000000-1-1-1-122-1-1-100000000-1-1000
χ3822-1222-122222-1-1-122-1-1-1-100-1-1222222-1-1-1-1-1-1-2-211-2-20000000-1-1-1-1-2-21110000000011000
χ3922-1222-1222-2-2-1-1-12211-1-100-1122-2-2-2-2-1-1111122-1-1-2-20000000-1-1112-2-11100000000-11000
χ4022-1222-1222-2-2-1-1-12211-1-100-1122-2-2-2-2-1-11111-2-211220000000-1-111-221-1-1000000001-1000
χ4122-1222-122-22-2-1-1-12211-1-1001-1-2-222-2-2-1-1111122-1-1-2-2000000011-1-1-22-111000000001-1000
χ4222-1222-122-22-2-1-1-12211-1-1001-1-2-222-2-2-1-11111-2-21122000000011-1-12-21-1-100000000-11000
χ4322-1222-122-2-22-1-1-122-1-1-1-10011-2-2-2-222-1-1-1-1-1-122-1-12200000001111-2-2-1-1-10000000011000
χ4422-1222-122-2-22-1-1-122-1-1-1-10011-2-2-2-222-1-1-1-1-1-1-2-211-2-2000000011112211100000000-1-1000
χ45444-4−1−5−1+54−1−5−1+5000-4−1−5−1+51+51−500−1−5−1+54-4000000001+51−50000000000000−1−5−1+51+51−50000000000000000000000
χ46444-4−1−5−1+54−1−5−1+5000-4−1−5−1+51+51−500−1−5−1+5-44000000001+51−500000000000001+51−5−1−5−1+50000000000000000000000
χ47444-4−1+5−1−54−1+5−1−5000-4−1+5−1−51−51+500−1+5−1−54-4000000001−51+50000000000000−1+5−1−51−51+50000000000000000000000
χ48444-4−1+5−1−54−1+5−1−5000-4−1+5−1−51−51+500−1+5−1−5-44000000001−51+500000000000001−51+5−1+5−1−50000000000000000000000
χ4944-24−1−5−1+5-2−1−5−1+5444-21+521−52−1−5−1+5-2-21+521−5200-2-2−1−5−1+5−1−5−1+5−1−5−1+51+521−521+521+521−521−5200000000000001+521−521+521−52000000000000000000
χ5044-24−1−5−1+5-2−1−5−1+54-4-4-21+521−52−1−5−1+5221+521−5200-22−1−5−1+51+51−51+51−51+521−52−1−52−1−52−1+52−1+5200000000000001+521−52−1−52−1+52000000000000000000
χ5144-24−1−5−1+5-2−1−5−1+5-44-4-21+521−52−1−5−1+5221+521−52002-21+51−5−1−5−1+51+51−51+521−52−1−52−1−52−1+52−1+520000000000000−1−52−1+521+521−52000000000000000000
χ5244-24−1−5−1+5-2−1−5−1+5-4-44-21+521−52−1−5−1+5-2-21+521−5200221+51−51+51−5−1−5−1+51+521−521+521+521−521−520000000000000−1−52−1+52−1−52−1+52000000000000000000
χ5344-24−1+5−1−5-2−1+5−1−5444-21−521+52−1+5−1−5-2-21−521+5200-2-2−1+5−1−5−1+5−1−5−1+5−1−51−521+521−521−521+521+5200000000000001−521+521−521+52000000000000000000
χ5444-24−1+5−1−5-2−1+5−1−54-4-4-21−521+52−1+5−1−5221−521+5200-22−1+5−1−51−51+51−51+51−521+52−1+52−1+52−1−52−1−5200000000000001−521+52−1+52−1−52000000000000000000
χ5544-24−1+5−1−5-2−1+5−1−5-44-4-21−521+52−1+5−1−5221−521+52002-21−51+5−1+5−1−51−51+51−521+52−1+52−1+52−1−52−1−520000000000000−1+52−1−521−521+52000000000000000000
χ5644-24−1+5−1−5-2−1+5−1−5-4-44-21−521+52−1+5−1−5-2-21−521+5200221−51+51−51+5−1+5−1−51−521+521−521−521+521+520000000000000−1+52−1−52−1+52−1−52000000000000000000
χ5744-2-444-2440002-2-2-4-400-2-200000000002200004-4-2-20000000000000002000000000000000
χ5844-2-444-2440002-2-2-4-400-2-20000000000220000-4422000000000000000-2000000000000000
χ594-44044-4-4-40000440000-4-40000000000000000000022−220000000000000022−220000000000000
χ604-44044-4-4-40000440000-4-400000000000000000000−222200000000000000−22220000000000000
χ614-4-20442-4-40000-2-200−i6i622000000000000−i6i6−i6i600−2i32i322−2200000000000000−220000000000000
χ624-4-20442-4-40000-2-200−i6i622000000000000−i6i6−i6i6002i3−2i3−2222000000000000002−20000000000000
χ634-4-20442-4-40000-2-200i6−i622000000000000i6−i6i6−i600−2i32i3−2222000000000000002−20000000000000
χ644-4-20442-4-40000-2-200i6−i622000000000000i6−i6i6−i6002i3−2i322−2200000000000000−220000000000000
χ6588-4-8−2−25−2+25-4−2−25−2+2500041+51−52+252−25001+51−50000000000−1−5−1+5000000000000000000000000000000000000000
χ6688-4-8−2+25−2−25-4−2+25−2−2500041−51+52−252+25001−51+50000000000−1+5−1−5000000000000000000000000000000000000000
χ678-880−2−25−2+25-82+252−250000−2−25−2+2500002+252−25000000000000000000000000000000000000000000000000000
χ688-880−2+25−2−25-82−252+250000−2+25−2−2500002−252+25000000000000000000000000000000000000000000000000000
χ698-8-40−2−25−2+2542+252−2500001+51−500−2i62i6−1−5−1+5000000000000−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−ζ11900000000000000000000000000000000000
χ708-8-40−2−25−2+2542+252−2500001+51−5002i6−2i6−1−5−1+5000000000000ζ7−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+ζ11900000000000000000000000000000000000
χ718-8-40−2+25−2−2542−252+2500001−51+500−2i62i6−1+5−1−5000000000000−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ10300000000000000000000000000000000000
χ728-8-40−2+25−2−2542−252+2500001−51+5002i6−2i6−1+5−1−5000000000000ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ10300000000000000000000000000000000000

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