Finite Group Databasebeta

← Group #14513244

Character table — Group #14513244

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size11233468812121212121616162424224668121616242424242432323248482246681216162424242424323232484855101515203040406060606060808080120120
order1242244364888812121244510201010202015302040404040606060202051020101020201530204040404060606020202242244664888812121244
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111-1-1-1-1111-1-11111111111-1-1-1-1111-1-11111111111-1-1-1-1111-1-11111111111-1-1-1-1111-1-1
χ311111-1111-111111-1-1-1-111111-1111-111111-1-1-1-111111-1111-111111-1-1-1-111111-1111-111111-1-1-1-1
χ411111-1111-1-1-1-1-11-1-11111111-1111-1-1-1-1-11-1-11111111-1111-1-1-1-1-11-1-11111111-1111-1-1-1-1-11-1-111
χ52222222-1-120000-1-1-1002222222-1-120000-1-1-1002222222-1-120000-1-1-1002222222-1-120000-1-1-100
χ622222-22-1-1-20000-1110022222-22-1-1-20000-1110022222-22-1-1-20000-1110022222-22-1-1-20000-11100
χ722-2220-22200000-2000022-2220-22200000-2000022-2220-22200000-2000022-2220-22200000-20000
χ822-2220-2-1-1000001−i3i30022-2220-2-1-1000001−i3i30022-2220-2-1-1000001−i3i30022-2220-2-1-1000001−i3i300
χ922-2220-2-1-1000001i3−i30022-2220-2-1-1000001i3−i30022-2220-2-1-1000001i3−i30022-2220-2-1-1000001i3−i300
χ102-202-2002-202−22−2000002-202-2002-202−22−2000002-202-2002-202−22−2000002-202-2002-202−22−200000
χ112-202-2002-20−22−22000002-202-2002-20−22−22000002-202-2002-20−22−22000002-202-2002-20−22−2200000
χ12333-1-13-100-111-1-10001-1333-1-13-100-111-1-10001-1333-1-13-100-111-1-10001-1333-1-13-100-111-1-10001-1
χ13333-1-13-100-1-1-111000-11333-1-13-100-1-1-111000-11333-1-13-100-1-1-111000-11333-1-13-100-1-1-111000-11
χ14333-1-1-3-100111-1-1000-11333-1-1-3-100111-1-1000-11333-1-1-3-100111-1-1000-11333-1-1-3-100111-1-1000-11
χ15333-1-1-3-1001-1-1110001-1333-1-1-3-1001-1-1110001-1333-1-1-3-1001-1-1110001-1333-1-1-3-1001-1-1110001-1
χ164-404-400-2200000000004-404-400-2200000000004-404-400-2200000000004-404-400-220000000000
χ1766-6-2-20200000000000066-6-2-20200000000000066-6-2-20200000000000066-6-2-202000000000000
χ186-60-22000002−2−22000006-60-22000002−2−22000006-60-22000002−2−22000006-60-22000002−2−2200000
χ196-60-2200000−222−2000006-60-2200000−222−2000006-60-2200000−222−2000006-60-2200000−222−200000
χ20111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ211111111111-1-1-1-1111-1-11111111111-1-1-1-1111-1-11111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ2211111-1111-111111-1-1-1-111111-1111-111111-1-1-1-111111-1111-111111-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-11111
χ2311111-1111-1-1-1-1-11-1-11111111-1111-1-1-1-1-11-1-11111111-1111-1-1-1-1-11-1-111-1-1-1-1-11-1-1-111111-111-1-1
χ242222222-1-120000-1-1-1002222222-1-120000-1-1-1002222222-1-120000-1-1-100-2-2-2-2-2-2-211-2000011100
χ2522222-22-1-1-20000-1110022222-22-1-1-20000-1110022222-22-1-1-20000-11100-2-2-2-2-22-211200001-1-100
χ2622-2220-22200000-2000022-2220-22200000-2000022-2220-22200000-20000-2-22-2-202-2-20000020000
χ2722-2220-2-1-1000001−i3i30022-2220-2-1-1000001−i3i30022-2220-2-1-1000001−i3i300-2-22-2-2021100000-1i3−i300
χ2822-2220-2-1-1000001i3−i30022-2220-2-1-1000001i3−i30022-2220-2-1-1000001i3−i300-2-22-2-2021100000-1−i3i300
χ292-202-2002-202−22−2000002-202-2002-202−22−2000002-202-2002-202−22−200000-220-2200-220−22−2200000
χ302-202-2002-20−22−22000002-202-2002-20−22−22000002-202-2002-20−22−2200000-220-2200-2202−22−200000
χ31333-1-13-100-111-1-10001-1333-1-13-100-111-1-10001-1333-1-13-100-111-1-10001-1-3-3-311-31001-1-111000-11
χ32333-1-13-100-1-1-111000-11333-1-13-100-1-1-111000-11333-1-13-100-1-1-111000-11-3-3-311-3100111-1-10001-1
χ33333-1-1-3-100111-1-1000-11333-1-1-3-100111-1-1000-11333-1-1-3-100111-1-1000-11-3-3-3113100-1-1-1110001-1
χ34333-1-1-3-1001-1-1110001-1333-1-1-3-1001-1-1110001-1333-1-1-3-1001-1-1110001-1-3-3-3113100-111-1-1000-11
χ354-404-400-2200000000004-404-400-2200000000004-404-400-220000000000-440-44002-20000000000
χ3666-6-2-20200000000000066-6-2-20200000000000066-6-2-202000000000000-6-66220-2000000000000
χ376-60-22000002−2−22000006-60-22000002−2−22000006-60-22000002−2−2200000-6602-200000−222−200000
χ386-60-2200000−222−2000006-60-2200000−222−2000006-60-2200000−222−200000-6602-2000002−2−2200000
χ392222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000000000000000000
χ402222222222-2-2-2-2222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−521+521+520000000000000000000
χ4122222-2222-222222-2-2-2-2−1+52−1+52−1+52−1+52−1+521−52−1+52−1+52−1+521−52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−521+52−1−52−1−52−1−521+52−1−52−1−52−1−52−1−52−1−521+521+521+521+520000000000000000000
χ4222222-2222-2-2-2-2-22-2-222−1+52−1+52−1+52−1+52−1+521−52−1+52−1+52−1+521−521−521−521−521−52−1+521−521−52−1+52−1+52−1−52−1−52−1−52−1−52−1−521+52−1−52−1−52−1−521+521+521+521+521+52−1−521+521+52−1−52−1−520000000000000000000
χ434444444-2-240000-2-2-200−1+5−1+5−1+5−1+5−1+5−1+5−1+51−521−52−1+500001−521−521−5200−1−5−1−5−1−5−1−5−1−5−1−5−1−51+521+52−1−500001+521+521+52000000000000000000000
χ4444444-44-2-2-40000-22200−1+5−1+5−1+5−1+5−1+51−5−1+51−521−521−500001−52−1+52−1+5200−1−5−1−5−1−5−1−5−1−51+5−1−51+521+521+500001+52−1−52−1−52000000000000000000000
χ4544-4440-44400000-40000−1+5−1+51−5−1+5−1+501−5−1+5−1+5000001−50000−1−5−1−51+5−1−5−1−501+5−1−5−1−5000001+500000000000000000000000
χ4644-4440-4-2-2000002−2i32i300−1+5−1+51−5−1+5−1+501−51−521−5200000−1+52ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ11600−1−5−1−51+5−1−5−1−501+51+521+5200000−1−52ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92000000000000000000000
χ4744-4440-4-2-20000022i3−2i300−1+5−1+51−5−1+5−1+501−51−521−5200000−1+52−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ11600−1−5−1−51+5−1−5−1−501+51+521+5200000−1−52−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92000000000000000000000
χ484-404-4004-4022−2222−2200000−1+51−50−1+51−500−1+51−50ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ11900000−1−51+50−1−51+500−1−51+50−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103000000000000000000000000
χ494-404-4004-40−2222−222200000−1+51−50−1+51−500−1+51−50−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ11900000−1−51+50−1−51+500−1−51+50ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103000000000000000000000000
χ50666-2-26-200-222-2-20002-2−3+352−3+352−3+3521−521−52−3+3521−52001−52−1+52−1+521−521−52000−1+521−52−3−352−3−352−3−3521+521+52−3−3521+52001+52−1−52−1−521+521+52000−1−521+520000000000000000000
χ51666-2-26-200-2-2-222000-22−3+352−3+352−3+3521−521−52−3+3521−52001−521−521−52−1+52−1+520001−52−1+52−3−352−3−352−3−3521+521+52−3−3521+52001+521+521+52−1−52−1−520001+52−1−520000000000000000000
χ52666-2-2-6-200222-2-2000-22−3+352−3+352−3+3521−521−523−3521−5200−1+52−1+52−1+521−521−520001−52−1+52−3−352−3−352−3−3521+521+523+3521+5200−1−52−1−52−1−521+521+520001+52−1−520000000000000000000
χ53666-2-2-6-2002-2-2220002-2−3+352−3+352−3+3521−521−523−3521−5200−1+521−521−52−1+52−1+52000−1+521−52−3−352−3−352−3−3521+521+523+3521+5200−1−521+521+52−1−52−1−52000−1−521+520000000000000000000
χ548-808-800-440000000000−2+252−250−2+252−25001−5−1+50000000000−2−252+250−2−252+25001+5−1−500000000000000000000000000000
χ551212-12-4-404000000000000−3+35−3+353−351−51−50−1+5000000000000−3−35−3−353+351+51+50−1−50000000000000000000000000000000
χ5612-120-440000022−22−222200000−3+353−3501−5−1+500000ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ11900000−3−353+3501+5−1−500000−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103000000000000000000000000
χ5712-120-4400000−222222−2200000−3+353−3501−5−1+500000−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ11900000−3−353+3501+5−1−500000ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103000000000000000000000000
χ582222222222222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+520000000000000000000
χ592222222222-2-2-2-2222-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+521−521−520000000000000000000
χ6022222-2222-222222-2-2-2-2−1−52−1−52−1−52−1−52−1−521+52−1−52−1−52−1−521+52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+52−1+521−52−1+52−1+52−1+521−52−1+52−1+52−1+52−1+52−1+521−521−521−521−520000000000000000000
χ6122222-2222-2-2-2-2-22-2-222−1−52−1−52−1−52−1−52−1−521+52−1−52−1−52−1−521+521+521+521+521+52−1−521+521+52−1−52−1−52−1+52−1+52−1+52−1+52−1+521−52−1+52−1+52−1+521−521−521−521−521−52−1+521−521−52−1+52−1+520000000000000000000
χ624444444-2-240000-2-2-200−1−5−1−5−1−5−1−5−1−5−1−5−1−51+521+52−1−500001+521+521+5200−1+5−1+5−1+5−1+5−1+5−1+5−1+51−521−52−1+500001−521−521−52000000000000000000000
χ6344444-44-2-2-40000-22200−1−5−1−5−1−5−1−5−1−51+5−1−51+521+521+500001+52−1−52−1−5200−1+5−1+5−1+5−1+5−1+51−5−1+51−521−521−500001−52−1+52−1+52000000000000000000000
χ6444-4440-44400000-40000−1−5−1−51+5−1−5−1−501+5−1−5−1−5000001+50000−1+5−1+51−5−1+5−1+501−5−1+5−1+5000001−500000000000000000000000
χ6544-4440-4-2-2000002−2i32i300−1−5−1−51+5−1−5−1−501+51+521+5200000−1−52ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ9200−1+5−1+51−5−1+5−1+501−51−521−5200000−1+52ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116000000000000000000000
χ6644-4440-4-2-20000022i3−2i300−1−5−1−51+5−1−5−1−501+51+521+5200000−1−52−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ9200−1+5−1+51−5−1+5−1+501−51−521−5200000−1+52−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116000000000000000000000
χ674-404-4004-4022−2222−2200000−1−51+50−1−51+500−1−51+50−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ10300000−1+51−50−1+51−500−1+51−50ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119000000000000000000000000
χ684-404-4004-40−2222−222200000−1−51+50−1−51+500−1−51+50ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ10300000−1+51−50−1+51−500−1+51−50−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119000000000000000000000000
χ69666-2-26-200-222-2-20002-2−3−352−3−352−3−3521+521+52−3−3521+52001+52−1−52−1−521+521+52000−1−521+52−3+352−3+352−3+3521−521−52−3+3521−52001−52−1+52−1+521−521−52000−1+521−520000000000000000000
χ70666-2-26-200-2-2-222000-22−3−352−3−352−3−3521+521+52−3−3521+52001+521+521+52−1−52−1−520001+52−1−52−3+352−3+352−3+3521−521−52−3+3521−52001−521−521−52−1+52−1+520001−52−1+520000000000000000000
χ71666-2-2-6-200222-2-2000-22−3−352−3−352−3−3521+521+523+3521+5200−1−52−1−52−1−521+521+520001+52−1−52−3+352−3+352−3+3521−521−523−3521−5200−1+52−1+52−1+521−521−520001−52−1+520000000000000000000
χ72666-2-2-6-2002-2-2220002-2−3−352−3−352−3−3521+521+523+3521+5200−1−521+521+52−1−52−1−52000−1−521+52−3+352−3+352−3+3521−521−523−3521−5200−1+521−521−52−1+52−1+52000−1+521−520000000000000000000
χ738-808-800-440000000000−2−252+250−2−252+25001+5−1−50000000000−2+252−250−2+252−25001−5−1+500000000000000000000000000000
χ741212-12-4-404000000000000−3−35−3−353+351+51+50−1−5000000000000−3+35−3+353−351−51−50−1+50000000000000000000000000000000
χ7512-120-440000022−22−222200000−3−353+3501+5−1−500000−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ10300000−3+353−3501−5−1+500000ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119000000000000000000000000
χ7612-120-4400000−222222−2200000−3−353+3501+5−1−500000ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ10300000−3+353−3501−5−1+500000−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119000000000000000000000000

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