Finite Group Databasebeta

← Group #14511609

Character table — Group #14511609

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size112222336666121212121212242424242424242424242424242432324048484848606064646464120120120120160160
order125510102210101010442020202044882020404040404040404036420202020221515303044881212
χ1111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-11111-1-11111-1-1-1-1-1-1
χ3111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-111
χ4111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1
χ522222222222222222200002200000000-1-12000022-1-1-1-10000-1-1
χ622222222222222222200002200000000-1-1-20000-2-2-1-1-1-1000011
χ722−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52220−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+52000000
χ822−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−522201+521−521+521−5200−1−52−1+52−1−52−1+52000000
χ922−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52220−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−52000000
χ1022−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+522201−521+521−521+5200−1+52−1−52−1+52−1−52000000
χ11333333333333-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-10031111-1-1000011-1-100
χ12333333333333-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-100-31111110000-1-11100
χ13333333333333-1-1-1-1-1-1-1-111-1-111111111003-1-1-1-1-1-10000-1-11100
χ14333333333333-1-1-1-1-1-1-1-111-1-11111111100-3-1-1-1-111000011-1-100
χ1544−1−5−1+5−1−5−1+544−1−5−1+5−1−5−1+544−1−5−1−5−1+5−1+50000−1−5−1+500000000-2-200000001+521−521+521−52000000
χ1644−1+5−1−5−1+5−1−544−1+5−1−5−1+5−1−544−1+5−1+5−1−5−1−50000−1+5−1−500000000-2-200000001−521+521−521+52000000
χ174-444-4-44-444-4-4000000000000000000001-1000000011-1-100003−3
χ184-444-4-44-444-4-4000000000000000000001-1000000011-1-10000−33
χ194-444-4-44-444-4-400000000000000000000-220000000-2-222000000
χ204-4−1−5−1+51+51−54-4−1−5−1+51+51−5000000000000−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119-2200000001+521−52−1−52−1+52000000
χ214-4−1−5−1+51+51−54-4−1−5−1+51+51−5000000000000ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119-2200000001+521−52−1−52−1+52000000
χ224-4−1+5−1−51−51+54-4−1+5−1−51−51+5000000000000ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103-2200000001−521+52−1+52−1−52000000
χ234-4−1+5−1−51−51+54-4−1+5−1−51−51+5000000000000−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103-2200000001−521+52−1+52−1−52000000
χ24666666-2-2-2-2-2-22-222220000-2-20000000000000000000002-20000
χ25666666-2-2-2-2-2-22-222220000-2-2000000000000000000000-220000
χ26666666-2-2-2-2-2-2-22-2-2-2-22-200220000000000022-2-2000000000000
χ27666666-2-2-2-2-2-2-22-2-2-2-2-22002200000000000-2-222000000000000
χ2866−3−352−3+352−3−352−3+35266−3−352−3+352−3−352−3+352-2-21+521+521−521−5222-2-21+521−521+521+521+521+521−521−521−521−52000−1−52−1+52−1−52−1+52000000000000
χ2966−3−352−3+352−3−352−3+35266−3−352−3+352−3−352−3+352-2-21+521+521−521−52-2-2221+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520001+521−521+521−52000000000000
χ3066−3−352−3+352−3−352−3+352-2-21+521−521+521−52-22−2ζ22−ζ28+2ζ38−ζ52−2ζ62−ζ68−ζ92+2ζ1182ζ22−ζ28−2ζ38−ζ52+2ζ62−ζ68−ζ92−2ζ118−ζ4+2ζ14−ζ44−2ζ46−ζ76−2ζ86+2ζ94−ζ116−ζ4−2ζ14−ζ44+2ζ46−ζ76+2ζ86−2ζ94−ζ1162-200−1−52−1+52−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94000−1−52−1+521+521−52000000000000
χ3166−3−352−3+352−3−352−3+352-2-21+521−521+521−52-22−2ζ22−ζ28+2ζ38−ζ52−2ζ62−ζ68−ζ92+2ζ1182ζ22−ζ28−2ζ38−ζ52+2ζ62−ζ68−ζ92−2ζ118−ζ4+2ζ14−ζ44−2ζ46−ζ76−2ζ86+2ζ94−ζ116−ζ4−2ζ14−ζ44+2ζ46−ζ76+2ζ86−2ζ94−ζ116-2200−1−52−1+52ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ940001+521−52−1−52−1+52000000000000
χ3266−3−352−3+352−3−352−3+352-2-21+521−521+521−52-222ζ22−ζ28−2ζ38−ζ52+2ζ62−ζ68−ζ92−2ζ118−2ζ22−ζ28+2ζ38−ζ52−2ζ62−ζ68−ζ92+2ζ118−ζ4−2ζ14−ζ44+2ζ46−ζ76+2ζ86−2ζ94−ζ116−ζ4+2ζ14−ζ44−2ζ46−ζ76−2ζ86+2ζ94−ζ1162-200−1−52−1+52ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94000−1−52−1+521+521−52000000000000
χ3366−3−352−3+352−3−352−3+352-2-21+521−521+521−52-222ζ22−ζ28−2ζ38−ζ52+2ζ62−ζ68−ζ92−2ζ118−2ζ22−ζ28+2ζ38−ζ52−2ζ62−ζ68−ζ92+2ζ118−ζ4−2ζ14−ζ44+2ζ46−ζ76+2ζ86−2ζ94−ζ116−ζ4+2ζ14−ζ44−2ζ46−ζ76−2ζ86+2ζ94−ζ116-2200−1−52−1+52−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ940001+521−52−1−52−1+52000000000000
χ3466−3+352−3−352−3+352−3−35266−3+352−3−352−3+352−3−352-2-21−521−521+521+5222-2-21−521+521−521−521−521−521+521+521+521+52000−1+52−1−52−1+52−1−52000000000000
χ3566−3+352−3−352−3+352−3−35266−3+352−3−352−3+352−3−352-2-21−521−521+521+52-2-2221−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520001−521+521−521+52000000000000
χ3666−3+352−3−352−3+352−3−352-2-21−521+521−521+52-22−ζ4+2ζ14−ζ44−2ζ46−ζ76−2ζ86+2ζ94−ζ116−ζ4−2ζ14−ζ44+2ζ46−ζ76+2ζ86−2ζ94−ζ1162ζ22−ζ28−2ζ38−ζ52+2ζ62−ζ68−ζ92−2ζ118−2ζ22−ζ28+2ζ38−ζ52−2ζ62−ζ68−ζ92+2ζ1182-200−1+52−1−52ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118000−1+52−1−521−521+52000000000000
χ3766−3+352−3−352−3+352−3−352-2-21−521+521−521+52-22−ζ4+2ζ14−ζ44−2ζ46−ζ76−2ζ86+2ζ94−ζ116−ζ4−2ζ14−ζ44+2ζ46−ζ76+2ζ86−2ζ94−ζ1162ζ22−ζ28−2ζ38−ζ52+2ζ62−ζ68−ζ92−2ζ118−2ζ22−ζ28+2ζ38−ζ52−2ζ62−ζ68−ζ92+2ζ118-2200−1+52−1−52−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ1180001−521+52−1+52−1−52000000000000
χ3866−3+352−3−352−3+352−3−352-2-21−521+521−521+52-22−ζ4−2ζ14−ζ44+2ζ46−ζ76+2ζ86−2ζ94−ζ116−ζ4+2ζ14−ζ44−2ζ46−ζ76−2ζ86+2ζ94−ζ116−2ζ22−ζ28+2ζ38−ζ52−2ζ62−ζ68−ζ92+2ζ1182ζ22−ζ28−2ζ38−ζ52+2ζ62−ζ68−ζ92−2ζ1182-200−1+52−1−52−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118000−1+52−1−521−521+52000000000000
χ3966−3+352−3−352−3+352−3−352-2-21−521+521−521+52-22−ζ4−2ζ14−ζ44+2ζ46−ζ76+2ζ86−2ζ94−ζ116−ζ4+2ζ14−ζ44−2ζ46−ζ76−2ζ86+2ζ94−ζ116−2ζ22−ζ28+2ζ38−ζ52−2ζ62−ζ68−ζ92+2ζ1182ζ22−ζ28−2ζ38−ζ52+2ζ62−ζ68−ζ92−2ζ118-2200−1+52−1−52ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ1180001−521+52−1+52−1−52000000000000
χ406-666-6-6-22-2-22200000000−i2i200−i2i2i2−i2i2−i2−i2i200000002-2000000−i2i200
χ416-666-6-6-22-2-22200000000−i2i200−i2i2i2−i2i2−i2−i2i20000000-22000000i2−i200
χ426-666-6-6-22-2-22200000000i2−i200i2−i2−i2i2−i2i2i2−i200000002-2000000i2−i200
χ436-666-6-6-22-2-22200000000i2−i200i2−i2−i2i2−i2i2i2−i20000000-22000000−i2i200
χ448-8−2−25−2+252+252−258-8−2−25−2+252+252−25000000000000000000002-20000000−1−52−1+521+521−52000000
χ458-8−2+25−2−252−252+258-8−2+25−2−252−252+25000000000000000000002-20000000−1+52−1−521−521+52000000
χ461212−3−35−3+35−3−35−3+35-4-41+51−51+51−54-4−1−5−1−5−1+5−1+500001+51−5000000000000000000000000000
χ471212−3+35−3−35−3+35−3−35-4-41−51+51−51+54-4−1+5−1+5−1−5−1−500001−51+5000000000000000000000000000
χ4812-12−3−35−3+353+353−35-441+51−5−1−5−1+500000000−2i22i200ζ7+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+ζ103−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−ζ1190000000000000000000
χ4912-12−3−35−3+353+353−35-441+51−5−1−5−1+5000000002i2−2i200−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−ζ103ζ29+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+ζ1190000000000000000000
χ5012-12−3+35−3−353−353+35-441−51+5−1+5−1−500000000−2i22i200ζ29+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+ζ119−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−ζ1030000000000000000000
χ5112-12−3+35−3−353−353+35-441−51+5−1+5−1−5000000002i2−2i200−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−ζ119ζ7+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+ζ1030000000000000000000

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