Finite Group Databasebeta

← Group #14513245

Character table — Group #14513245

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size112222233444666668888101012121216161616161616202424242424242424242424242424303032323232323240404848484860808080120120120120
order124551010224202041010101036202024420201212121515303024488202040404040404040402460606060606012122020202026664488
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1
χ3111111111111111111111-1-11111111111-111111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1111111111-1-111-1111-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-11-1-111-1-1
χ6111111111-1111111111-1-111-1111-1-11111-1-1-111-1-1111111111111-1-1-1-111-1-1-1-1-11-1-1-1-111
χ7111111111-1111111111-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-111-1-111
χ8111111111-1111111111-1-1-1-1-1111-1-111111-1-111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11-11111-1-1
χ922222222222222222-1-12222222-1-1-1-1-1-1-120000220000000022-1-1-1-1-1-1-1-100002-1-1-10000
χ1022222222222222222-1-122-2-2222-1-1-1-1-1-1-1-200002200000000-2-2-1-1-1-1-1-1110000-21110000
χ11222222222-22222222-1-1-2-222-222-111-1-1-1-1-20000-2-20000000022-1-11111-1-10000-2-1110000
χ12222222222-22222222-1-1-2-2-2-2-222-111-1-1-1-120000-2-200000000-2-2-1-1111111000021-1-10000
χ13222−1−52−1+52−1−52−1+52222−1−52−1+522−1−52−1+52−1−52−1+5222−1−52−1+52002−1−52−1+52222−1−52−1+52−1−52−1+5202222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200−1−52−1+52−1−52−1−52−1+52−1+5200−1−52−1+52−1−52−1+5200000000
χ14222−1−52−1+52−1−52−1+52222−1−52−1+522−1−52−1+52−1−52−1+5222−1−52−1+52002−1−52−1+52222−1−52−1+52−1−52−1+520-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−5200−1−52−1+52−1−52−1−52−1+52−1+52001+521−521+521−5200000000
χ15222−1−52−1+52−1−52−1+5222-2−1−52−1+522−1−52−1+52−1−52−1+52221+521−5200-2−1−52−1+522-2-2−1−52−1+52−1−52−1+52022-2-21+521−521+521+521−521−521+521+521−521−5200−1−52−1+521+521+521−521−5200−1−52−1+52−1−52−1+5200000000
χ16222−1−52−1+52−1−52−1+5222-2−1−52−1+522−1−52−1+52−1−52−1+52221+521−5200-2−1−52−1+522-2-2−1−52−1+52−1−52−1+520-2-2221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200−1−52−1+521+521+521−521−52001+521−521+521−5200000000
χ17222−1+52−1−52−1+52−1−52222−1+52−1−522−1+52−1−52−1+52−1−5222−1+52−1−52002−1+52−1−52222−1+52−1−52−1+52−1−5202222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200−1+52−1−52−1+52−1+52−1−52−1−5200−1+52−1−52−1+52−1−5200000000
χ18222−1+52−1−52−1+52−1−52222−1+52−1−522−1+52−1−52−1+52−1−5222−1+52−1−52002−1+52−1−52222−1+52−1−52−1+52−1−520-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+5200−1+52−1−52−1+52−1+52−1−52−1−52001−521+521−521+5200000000
χ19222−1+52−1−52−1+52−1−5222-2−1+52−1−522−1+52−1−52−1+52−1−52221−521+5200-2−1+52−1−522-2-2−1+52−1−52−1+52−1−52022-2-21−521+521−521−521+521+521−521−521+521+5200−1+52−1−521−521−521+521+5200−1+52−1−52−1+52−1−5200000000
χ20222−1+52−1−52−1+52−1−5222-2−1+52−1−522−1+52−1−52−1+52−1−52221−521+5200-2−1+52−1−522-2-2−1+52−1−52−1+52−1−520-2-2221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200−1+52−1−521−521−521+521+52001−521+521−521+5200000000
χ2122-22222220-2-2-2222222002-20-2-2-20022220000000000000002-2-2-20000-2-2000002000000
χ2222-22222220-2-2-222222200-220-2-2-2002222000000000000000-22-2-200002200000-2000000
χ2322-22222220-2-2-22222-1-1002-20-2-21−i3i3-1-1-1-10000000000000002-211−i3i3−i3i31100000-1−i3i30000
χ2422-22222220-2-2-22222-1-1002-20-2-21i3−i3-1-1-1-10000000000000002-211i3−i3i3−i31100000-1i3−i30000
χ2522-22222220-2-2-22222-1-100-220-2-21−i3i3-1-1-1-1000000000000000-2211−i3i3−i3i3-1-1000001i3−i30000
χ2622-22222220-2-2-22222-1-100-220-2-21i3−i3-1-1-1-1000000000000000-2211i3−i3i3−i3-1-1000001−i3i30000
χ273333333-1-1333-1-1-1-1-1003333-1-1-1000000031-11-1-1-11111-1-1-1-1-1-10000000011-1-1-10001-11-1
χ283333333-1-1333-1-1-1-1-1003333-1-1-100000003-11-11-1-1-1-1-1-11111-1-100000000-1-111-1000-11-11
χ293333333-1-1333-1-1-1-1-10033-3-3-1-1-10000000-31-11-1-1-11111-1-1-1-1110000000011-1-11000-11-11
χ303333333-1-1333-1-1-1-1-10033-3-3-1-1-10000000-3-11-11-1-1-1-1-1-111111100000000-1-11110001-11-1
χ313333333-1-1-333-1-1-1-1-100-3-3331-1-10000000-31-1-1111-1-1-1-11111-1-10000000011-1-110001-1-11
χ323333333-1-1-333-1-1-1-1-100-3-3331-1-10000000-3-111-1111111-1-1-1-1-1-100000000-1-1111000-111-1
χ333333333-1-1-333-1-1-1-1-100-3-3-3-31-1-1000000031-1-1111-1-1-1-11111110000000011-1-1-1000-111-1
χ343333333-1-1-333-1-1-1-1-100-3-3-3-31-1-100000003-111-1111111-1-1-1-11100000000-1-111-10001-1-11
χ35444−1−5−1+5−1−5−1+5444−1−5−1+54−1−5−1+5−1−5−1+5-2-2−1−5−1+5004−1−5−1+5-2-2-21+521−521+521−5200000−1−5−1+500000000001+521−521+521+521−521−5200000000000000
χ36444−1−5−1+5−1−5−1+544-4−1−5−1+54−1−5−1+5−1−5−1+5-2-21+51−500-4−1−5−1+5-2221+521−521+521−52000001+51−500000000001+521−52−1−52−1−52−1+52−1+5200000000000000
χ37444−1+5−1−5−1+5−1−5444−1+5−1−54−1+5−1−5−1+5−1−5-2-2−1+5−1−5004−1+5−1−5-2-2-21−521+521−521+5200000−1+5−1−500000000001−521+521−521−521+521+5200000000000000
χ38444−1+5−1−5−1+5−1−544-4−1+5−1−54−1+5−1−5−1+5−1−5-2-21−51+500-4−1+5−1−5-2221−521+521−521+52000001−51+500000000001−521+52−1+52−1+52−1−52−1−5200000000000000
χ3944-4−1−5−1+5−1−5−1+54401+51−5-4−1−5−1+5−1−5−1+544000001+51−5-400−1−5−1+5−1−5−1+5000000000000000001+51−5000000000000000000
χ4044-4−1−5−1+5−1−5−1+54401+51−5-4−1−5−1+5−1−5−1+5-2-2000001+51−52−2i32i31+521−521+521−5200000000000000000−1−52−1+52ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ11600000000000000
χ4144-4−1−5−1+5−1−5−1+54401+51−5-4−1−5−1+5−1−5−1+5-2-2000001+51−522i3−2i31+521−521+521−5200000000000000000−1−52−1+52−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ11600000000000000
χ4244-4−1+5−1−5−1+5−1−54401−51+5-4−1+5−1−5−1+5−1−544000001−51+5-400−1+5−1−5−1+5−1−5000000000000000001−51+5000000000000000000
χ4344-4−1+5−1−5−1+5−1−54401−51+5-4−1+5−1−5−1+5−1−5-2-2000001−51+52−2i32i31−521+521−521+5200000000000000000−1+52−1−52ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ9200000000000000
χ4444-4−1+5−1−5−1+5−1−54401−51+5-4−1+5−1−5−1+5−1−5-2-2000001−51+522i3−2i31−521+521−521+5200000000000000000−1+52−1−52−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ9200000000000000
χ454-4044-4-44-4000044-4-44-4000000000044-4-40000000000000000000000000000000000000
χ464-4044-4-44-4000044-4-4-220000000000-2-2220000000000000000000000023−23000000000000
χ474-4044-4-44-4000044-4-4-220000000000-2-22200000000000000000000000−2323000000000000
χ484-40−1−5−1+51+51−54-40000−1−5−1+51+51−54-40000000000−1−5−1+51+51−50000000−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103ζ29+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−ζ103ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ1190000000000000000000000
χ494-40−1−5−1+51+51−54-40000−1−5−1+51+51−54-40000000000−1−5−1+51+51−50000000ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103−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+ζ103−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ1190000000000000000000000
χ504-40−1+5−1−51−51+54-40000−1+5−1−51−51+54-40000000000−1+5−1−51−51+50000000ζ29+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+ζ103ζ29+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+ζ1030000000000000000000000
χ514-40−1+5−1−51−51+54-40000−1+5−1−51−51+54-40000000000−1+5−1−51−51+50000000−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−ζ103−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−ζ1030000000000000000000000
χ52666−3−352−3+352−3−352−3+352-2-26−3−352−3+352-21+521−521+521−5200−3−352−3+35200-21+521−52000000002-22-21+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000−1−52−1+521+521−5200000000
χ53666−3−352−3+352−3−352−3+352-2-26−3−352−3+352-21+521−521+521−5200−3−352−3+35200-21+521−5200000000-22-221+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000001+521−52−1−52−1+5200000000
χ54666−3−352−3+352−3−352−3+352-2-2-6−3−352−3+352-21+521−521+521−52003+3523−3520021+521−52000000002-2-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000−1−52−1+521+521−5200000000
χ55666−3−352−3+352−3−352−3+352-2-2-6−3−352−3+352-21+521−521+521−52003+3523−3520021+521−5200000000-222-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000001+521−52−1−52−1+5200000000
χ56666−3+352−3−352−3+352−3−352-2-26−3+352−3−352-21−521+521−521+5200−3+352−3−35200-21−521+52000000002-22-21−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000−1+52−1−521−521+5200000000
χ57666−3+352−3−352−3+352−3−352-2-26−3+352−3−352-21−521+521−521+5200−3+352−3−35200-21−521+5200000000-22-221−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000001−521+52−1+52−1−5200000000
χ58666−3+352−3−352−3+352−3−352-2-2-6−3+352−3−352-21−521+521−521+52003−3523+3520021−521+52000000002-2-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000−1+52−1−521−521+5200000000
χ59666−3+352−3−352−3+352−3−352-2-2-6−3+352−3−352-21−521+521−521+52003−3523+3520021−521+5200000000-222-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000001−521+52−1+52−1−5200000000
χ6066-66666-2-20-6-62-2-2-2-200006-60220000000000000000000000-2200000000000000000000
χ6166-66666-2-20-6-62-2-2-2-20000-6602200000000000000000000002-200000000000000000000
χ628-80−2−25−2+252+252−258-80000−2−25−2+252+252−25-4400000000001+51−5−1−5−1+50000000000000000000000000000000000000
χ638-80−2+25−2−252−252+258-80000−2+25−2−252−252+25-4400000000001−51+5−1+5−1−50000000000000000000000000000000000000
χ641212-12−3−35−3+35−3−35−3+35-4-403+353−3541+51−51+51−50000000−1−5−1+500000000000000000000000000000000000000000000
χ651212-12−3+35−3−35−3+35−3−35-4-403−353+3541−51+51−51+50000000−1+5−1−500000000000000000000000000000000000000000000
χ6612-1201212-12-12-440000-4-44400000000000000000000000000000000000000000000000000000
χ6712-120−3−35−3+353+353−35-4400001+51−5−1−5−1+500000000000000000000000−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103ζ29+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−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ1190000000000000000000000
χ6812-120−3−35−3+353+353−35-4400001+51−5−1−5−1+500000000000000000000000ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103−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−ζ103ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ1190000000000000000000000
χ6912-120−3+35−3−353−353+35-4400001−51+5−1+5−1−500000000000000000000000ζ29+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−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−ζ1030000000000000000000000
χ7012-120−3+35−3−353−353+35-4400001−51+5−1+5−1−500000000000000000000000−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−ζ103ζ29+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+ζ1030000000000000000000000

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