Finite Group Databasebeta

← Group #14313960

Character table — Group #14313960

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222222244444444444558888888888888888888888101010101010101010202020202020202424404040404040404040404040484848486060606060606060120120
order1223446881212568101010122424242422152020303030404040406060606012012012012012012012012024466881212681224242424224444121212121212121210101010161616161616161622
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ311111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−iiiii−i−i−i−i1111iiii−i−i−i−i-1-1
χ61111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii−i−i−i−iiiii1111−i−i−i−iiiii-1-1
χ71111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-1−i−i−i−iiiii11
χ81111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-1iiii−i−i−i−i11
χ911-11-11111-1-11-1-1-1-11111-1-1111-11-1-1111-1-1-1-1111111-1-1-1-1-11-11111-1-1-1-1111-1-11-11-11-111-1-111-1-111-1-111-1-111-1-11-1
χ1011-11-11111-1-11-1-1-1-11111-1-1111-11-1-1111-1-1-1-1111111-1-1-1-1-11-11111-1-1-1-1111-1-11-1-11-11-1-111-1-11111-1-1-1-111-1-1111-1
χ1111-11-11111-1-11-1-1-1-11111-1-1111-11-1-1111-1-1-1-1111111-1-1-1-1-11-11111-1-1-1-1111-1-1-111-11-111-1-111-1-1-1-111-1-111-1-111-11
χ1211-11-11111-1-11-1-1-1-11111-1-1111-11-1-1111-1-1-1-1111111-1-1-1-1-11-11111-1-1-1-1111-1-1-11-11-11-1-111-1-111-1-11111-1-111-1-1-11
χ1311-11-11111-1-11-1-1-1-11111-1-1-1-11-11-1-1111-1-1-1-1111111-1-1-1-11-11-1-1-1-11111-1-1-1111-1i−i−iiii−i−i−i−iii11-1-1ii−i−i−i−iii-11
χ1411-11-11111-1-11-1-1-1-11111-1-1-1-11-11-1-1111-1-1-1-1111111-1-1-1-11-11-1-1-1-11111-1-1-1111-1−iii−i−i−iiiii−i−i11-1-1−i−iiiii−i−i-11
χ1511-11-11111-1-11-1-1-1-11111-1-1-1-11-11-1-1111-1-1-1-1111111-1-1-1-11-11-1-1-1-11111-1-1-111-11i−i−iiii−i−i−i−iii-1-111−i−iiiii−i−i1-1
χ1611-11-11111-1-11-1-1-1-11111-1-1-1-11-11-1-1111-1-1-1-1111111-1-1-1-11-11-1-1-1-11111-1-1-111-11−iii−i−i−iiiii−i−i-1-111ii−i−i−i−iii1-1
χ172222222-2-22222-22222-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-2-2-222222-2-2222-22-2-2-2-20000000000000000000000000000
χ182222222-2-22222-22222-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-22-222220000000000000000000000000000
χ192222-2-2200-2-2220222-20000222-2-22220000-2-2-2-2000000002-2-22200-2-220-200000000000000000000002−22−22−22−200
χ202222-2-2200-2-2220222-20000222-2-22220000-2-2-2-2000000002-2-22200-2-220-20000000000000000000000−22−22−22−2200
χ212222-2-2200-2-2220222-20000-2-22-2-22220000-2-2-2-200000000-222-2-20022-2020000000000000000000000−i2i2−i2i2i2−i2i2−i200
χ222222-2-2200-2-2220222-20000-2-22-2-22220000-2-2-2-200000000-222-2-20022-2020000000000000000000000i2−i2i2−i2−i2i2−i2i200
χ23222-122-122-1-12-12222-1-1-1-1-122-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-122-1-1-12-1-1-1-1-1002222-1-1-1-1-1-1-1-100000000000000
χ24222-122-122-1-12-12222-1-1-1-1-122-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-122-1-1-12-1-1-1-1-100-2-2-2-21111111100000000000000
χ25222-122-122-1-12-12222-1-1-1-1-1-2-2-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211-2-2111-211111002i2i−2i−2i−i−i−i−iiiii00000000000000
χ26222-122-122-1-12-12222-1-1-1-1-1-2-2-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211-2-2111-21111100−2i−2i2i2iiiii−i−i−i−i00000000000000
χ27222-122-1-2-2-1-12-1-2222-1111122-122-1-1-1-2-2-2-2-1-1-1-111111111222-1-1-2-2-1-1-1-2-11111000000−i3i3−i3i3−i3i3−i3i300000000000000
χ28222-122-1-2-2-1-12-1-2222-1111122-122-1-1-1-2-2-2-2-1-1-1-111111111222-1-1-2-2-1-1-1-2-11111000000i3−i3i3−i3i3−i3i3−i300000000000000
χ29222-122-1-2-2-1-12-1-2222-11111-2-2-122-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2112211121-1-1-1-10000003−33−3−33−3300000000000000
χ30222-122-1-2-2-1-12-1-2222-11111-2-2-122-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2112211121-1-1-1-1000000−33−333−33−300000000000000
χ3122-222-2200222-20-2-22-200002222-2-2-22000022-2-200000000-2-22220022-20-200000000000000000000002−2−222−2−2200
χ3222-222-2200222-20-2-22-200002222-2-2-22000022-2-200000000-2-22220022-20-20000000000000000000000−222−2−222−200
χ3322-222-2200222-20-2-22-20000-2-222-2-2-22000022-2-20000000022-2-2-200-2-22020000000000000000000000−i2i2i2−i2i2−i2−i2i200
χ3422-222-2200222-20-2-22-20000-2-222-2-2-22000022-2-20000000022-2-2-200-2-22020000000000000000000000i2−i2−i2i2−i2i2i2−i200
χ3522-22-222-2-2-2-22-22-2-222-2-222222-22-2-22-2-222-2-222-2-2-2-22222-22-222-2-2-2-2-222-2-2220000000000000000000000000000
χ3622-22-222-2-2-2-22-22-2-222-2-222-2-22-22-2-22-2-222-2-222-2-2-2-222222-22-2-222222-2-222-2-20000000000000000000000000000
χ3722-2-1-22-1221121-2-2-22-1-1-11122-1-2211-122-2-211-1-1-1-1-1-11111-22-2-1-122111-2-1-1-111002-22-2-1-111-1-11100000000000000
χ3822-2-1-22-1221121-2-2-22-1-1-11122-1-2211-122-2-211-1-1-1-1-1-11111-22-2-1-122111-2-1-1-11100-22-2211-1-111-1-100000000000000
χ3922-2-1-22-1221121-2-2-22-1-1-111-2-2-1-2211-122-2-211-1-1-1-1-1-111112-2211-2-2-1-1-12111-1-1002i−2i−2i2i−i−iiiii−i−i00000000000000
χ4022-2-1-22-1221121-2-2-22-1-1-111-2-2-1-2211-122-2-211-1-1-1-1-1-111112-2211-2-2-1-1-12111-1-100−2i2i2i−2iii−i−i−i−iii00000000000000
χ4122-2-1-22-1-2-211212-2-22-111-1-122-1-2211-1-2-22211-1-11111-1-1-1-1-22-2-1-1-2-21112-111-1-1000000−i3i3i3−i3−i3i3i3−i300000000000000
χ4222-2-1-22-1-2-211212-2-22-111-1-122-1-2211-1-2-22211-1-11111-1-1-1-1-22-2-1-1-2-21112-111-1-1000000i3−i3−i3i3i3−i3−i3i300000000000000
χ4322-2-1-22-1-2-211212-2-22-111-1-1-2-2-1-2211-1-2-22211-1-11111-1-1-1-12-221122-1-1-1-21-1-1110000003−3−33−333−300000000000000
χ4422-2-1-22-1-2-211212-2-22-111-1-1-2-2-1-2211-1-2-22211-1-11111-1-1-1-12-221122-1-1-1-21-1-111000000−333−33−3−3300000000000000
χ4544444444444-144-1-1-14444400-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000044000000000000-1-1-1-10000000000
χ4644444444444-144-1-1-14444400-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-4-400000000000011110000000000
χ474444444-4-444-14-4-1-1-14-4-4-4-400-1-1-1-1-1-11111-1-1-1-111111111000000000000000000000000000000−55−550000000000
χ484444444-4-444-14-4-1-1-14-4-4-4-400-1-1-1-1-1-11111-1-1-1-1111111110000000000000000000000000000005−55−50000000000
χ49444-2-4-4-200224-204442000044-2-4-4-2-2-200002222000000004-4-4-2-20022-20200000000000000000000000000000000
χ50444-2-4-4-200224-2044420000-4-4-2-4-4-2-2-20000222200000000-4442200-2-220-200000000000000000000000000000000
χ5144-44-44444-4-4-1-4-411-1444-4-400-11-111-1-1-11111-1-1-1-1-1-1111100000000000000004-4000000000000-1-1110000000000
χ5244-44-44444-4-4-1-4-411-1444-4-400-11-111-1-1-11111-1-1-1-1-1-111110000000000000000-4400000000000011-1-10000000000
χ5344-44-444-4-4-4-4-1-4411-14-4-44400-11-111-111-1-111-1-11111-1-1-1-1000000000000000000000000000000−555−50000000000
χ5444-44-444-4-4-4-4-1-4411-14-4-44400-11-111-111-1-111-1-11111-1-1-1-10000000000000000000000000000005−5−550000000000
χ5544-4-24-4-200-2-2420-4-442000044-24-422-20000-2-22200000000-4-44-2-200-2-220200000000000000000000000000000000
χ5644-4-24-4-200-2-2420-4-4420000-4-4-24-422-20000-2-2220000000044-4220022-20-200000000000000000000000000000000
χ574-40400-422−220040000-4022−22004-440000-422−220000002222−22−2200000004-422−220000022−22000000000000000000000000000000
χ584-40400-422−220040000-4022−2200-4440000-422−220000002222−22−220000000-44−222200000−2222000000000000000000000000000000
χ594-40400-4−22220040000-40−2222004-440000-4−2222000000−22−22222200000004-4−222200000−2222000000000000000000000000000000
χ604-40400-4−22220040000-40−222200-4440000-4−2222000000−22−2222220000000-4422−220000022−22000000000000000000000000000000
χ614-40-200222−2223−2340000-40−226−64-4-20000222−220023−2300−2−22266−6−6000-2222−2223−23000−226−60000000000000000000000000000
χ624-40-200222−2223−2340000-40−226−6-44-20000222−220023−2300−2−22266−6−60002-2−2222−23230002−2−660000000000000000000000000000
χ634-40-200222−22−232340000-40−22−664-4-20000222−2200−232300−2−222−6−666000-2222−22−2323000−22−660000000000000000000000000000
χ644-40-200222−22−232340000-40−22−66-44-20000222−2200−232300−2−222−6−6660002-2−222223−230002−26−60000000000000000000000000000
χ654-40-2002−222223−2340000-402−2−664-4-200002−22220023−230022−2−2−6−666000-22−222223−230002−2−660000000000000000000000000000
χ664-40-2002−222223−2340000-402−2−66-44-200002−22220023−230022−2−2−6−6660002-222−22−2323000−226−60000000000000000000000000000
χ674-40-2002−2222−232340000-402−26−64-4-200002−222200−23230022−2−266−6−6000-22−2222−23230002−26−60000000000000000000000000000
χ684-40-2002−2222−232340000-402−26−6-44-200002−222200−23230022−2−266−6−60002-222−2223−23000−22−660000000000000000000000000000
χ698888-8-8800-8-8-280-2-2-2-8000000-222-2-2-2000022220000000000000000000000000000000000000000000000000000
χ70888-488-488-4-4-2-48-2-2-2-4-4-4-4-4001-2-2111-2-2-2-211111111111100000000000000000000000000000000000000000000
χ71888-488-4-8-8-4-4-2-4-8-2-2-2-44444001-2-211122221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000
χ72888-4-8-8-40044-2-40-2-2-240000001221110000-1-1-1-1−1515−1515−1515−151500000000000000000000000000000000000000000000
χ73888-4-8-8-40044-2-40-2-2-240000001221110000-1-1-1-115−1515−1515−1515−1500000000000000000000000000000000000000000000
χ7488-888-880088-2-8022-2-8000000-2-2222-20000-2-2220000000000000000000000000000000000000000000000000000
χ7588-8-48-8-400-4-4-24022-240000001-22-1-11000011-1-1−1515−151515−1515−1500000000000000000000000000000000000000000000
χ7688-8-48-8-400-4-4-24022-240000001-22-1-11000011-1-115−1515−15−1515−151500000000000000000000000000000000000000000000
χ7788-8-4-88-48844-24-822-2-4-4-4440012-2-1-11-2-222-1-1111111-1-1-1-100000000000000000000000000000000000000000000
χ7888-8-4-88-4-8-844-24822-2-444-4-40012-2-1-1122-2-2-1-111-1-1-1-1111100000000000000000000000000000000000000000000
χ798-80800-842−4200-200−25252042−420000-200−25252−2210−100000−2−22210−10−101000000000000000000000000000000000000000000000
χ808-80800-842−4200-20025−252042−420000-20025−252−22−10100000−2−222−101010−1000000000000000000000000000000000000000000000
χ818-80800-8−424200-200−252520−42420000-200−252522−2−1010000022−2−2−101010−1000000000000000000000000000000000000000000000
χ828-80800-8−424200-20025−2520−42420000-20025−2522−210−10000022−2−210−10−101000000000000000000000000000000000000000000000
χ838-80-400442−4243−43-200−252520−222226−26001005−5-1−2210−10−33−1515ζ7−ζ53−ζ61+ζ71−ζ77+ζ103−ζ109+ζ119−ζ13+ζ23−ζ29+ζ31−ζ37+ζ47+ζ79−ζ101−ζ7+ζ53+ζ61−ζ71+ζ77−ζ103+ζ109−ζ119ζ13−ζ23+ζ29−ζ31+ζ37−ζ47−ζ79+ζ101−ζ7+ζ53−ζ61+ζ71+ζ77−ζ103−ζ109+ζ119−ζ13+ζ23+ζ29−ζ31−ζ37+ζ47−ζ79+ζ101ζ7−ζ53+ζ61−ζ71−ζ77+ζ103+ζ109−ζ119ζ13−ζ23−ζ29+ζ31+ζ37−ζ47+ζ79−ζ10100000000000000000000000000000000000000000000
χ848-80-400442−4243−43-20025−2520−222226−2600100−55-1−22−1010−3315−15−ζ13+ζ23−ζ29+ζ31−ζ37+ζ47+ζ79−ζ101ζ7−ζ53−ζ61+ζ71−ζ77+ζ103−ζ109+ζ119ζ13−ζ23+ζ29−ζ31+ζ37−ζ47−ζ79+ζ101−ζ7+ζ53+ζ61−ζ71+ζ77−ζ103+ζ109−ζ119−ζ13+ζ23+ζ29−ζ31−ζ37+ζ47−ζ79+ζ101−ζ7+ζ53−ζ61+ζ71+ζ77−ζ103−ζ109+ζ119ζ13−ζ23−ζ29+ζ31+ζ37−ζ47+ζ79−ζ101ζ7−ζ53+ζ61−ζ71−ζ77+ζ103+ζ109−ζ11900000000000000000000000000000000000000000000
χ858-80-400442−42−4343-200−252520−2222−2626001005−5-1−2210−103−315−15−ζ13+ζ23−ζ29+ζ31−ζ37+ζ47+ζ79−ζ101ζ7−ζ53−ζ61+ζ71−ζ77+ζ103−ζ109+ζ119ζ13−ζ23+ζ29−ζ31+ζ37−ζ47−ζ79+ζ101−ζ7+ζ53+ζ61−ζ71+ζ77−ζ103+ζ109−ζ119ζ13−ζ23−ζ29+ζ31+ζ37−ζ47+ζ79−ζ101ζ7−ζ53+ζ61−ζ71−ζ77+ζ103+ζ109−ζ119−ζ13+ζ23+ζ29−ζ31−ζ37+ζ47−ζ79+ζ101−ζ7+ζ53−ζ61+ζ71+ζ77−ζ103−ζ109+ζ11900000000000000000000000000000000000000000000
χ868-80-400442−42−4343-20025−2520−2222−262600100−55-1−22−10103−3−1515ζ7−ζ53−ζ61+ζ71−ζ77+ζ103−ζ109+ζ119−ζ13+ζ23−ζ29+ζ31−ζ37+ζ47+ζ79−ζ101−ζ7+ζ53+ζ61−ζ71+ζ77−ζ103+ζ109−ζ119ζ13−ζ23+ζ29−ζ31+ζ37−ζ47−ζ79+ζ101ζ7−ζ53+ζ61−ζ71−ζ77+ζ103+ζ109−ζ119ζ13−ζ23−ζ29+ζ31+ζ37−ζ47+ζ79−ζ101−ζ7+ζ53−ζ61+ζ71+ζ77−ζ103−ζ109+ζ119−ζ13+ζ23+ζ29−ζ31−ζ37+ζ47−ζ79+ζ10100000000000000000000000000000000000000000000
χ878-80-4004−424243−43-200−25252022−22−2626001005−5-12−2−1010−33−1515−ζ7+ζ53+ζ61−ζ71+ζ77−ζ103+ζ109−ζ119ζ13−ζ23+ζ29−ζ31+ζ37−ζ47−ζ79+ζ101ζ7−ζ53−ζ61+ζ71−ζ77+ζ103−ζ109+ζ119−ζ13+ζ23−ζ29+ζ31−ζ37+ζ47+ζ79−ζ101ζ7−ζ53+ζ61−ζ71−ζ77+ζ103+ζ109−ζ119ζ13−ζ23−ζ29+ζ31+ζ37−ζ47+ζ79−ζ101−ζ7+ζ53−ζ61+ζ71+ζ77−ζ103−ζ109+ζ119−ζ13+ζ23+ζ29−ζ31−ζ37+ζ47−ζ79+ζ10100000000000000000000000000000000000000000000
χ888-80-4004−424243−43-20025−252022−22−262600100−55-12−210−10−3315−15ζ13−ζ23+ζ29−ζ31+ζ37−ζ47−ζ79+ζ101−ζ7+ζ53+ζ61−ζ71+ζ77−ζ103+ζ109−ζ119−ζ13+ζ23−ζ29+ζ31−ζ37+ζ47+ζ79−ζ101ζ7−ζ53−ζ61+ζ71−ζ77+ζ103−ζ109+ζ119ζ13−ζ23−ζ29+ζ31+ζ37−ζ47+ζ79−ζ101ζ7−ζ53+ζ61−ζ71−ζ77+ζ103+ζ109−ζ119−ζ13+ζ23+ζ29−ζ31−ζ37+ζ47−ζ79+ζ101−ζ7+ζ53−ζ61+ζ71+ζ77−ζ103−ζ109+ζ11900000000000000000000000000000000000000000000
χ898-80-4004−4242−4343-200−25252022−2226−26001005−5-12−2−10103−315−15ζ13−ζ23+ζ29−ζ31+ζ37−ζ47−ζ79+ζ101−ζ7+ζ53+ζ61−ζ71+ζ77−ζ103+ζ109−ζ119−ζ13+ζ23−ζ29+ζ31−ζ37+ζ47+ζ79−ζ101ζ7−ζ53−ζ61+ζ71−ζ77+ζ103−ζ109+ζ119−ζ13+ζ23+ζ29−ζ31−ζ37+ζ47−ζ79+ζ101−ζ7+ζ53−ζ61+ζ71+ζ77−ζ103−ζ109+ζ119ζ13−ζ23−ζ29+ζ31+ζ37−ζ47+ζ79−ζ101ζ7−ζ53+ζ61−ζ71−ζ77+ζ103+ζ109−ζ11900000000000000000000000000000000000000000000
χ908-80-4004−4242−4343-20025−252022−2226−2600100−55-12−210−103−3−1515−ζ7+ζ53+ζ61−ζ71+ζ77−ζ103+ζ109−ζ119ζ13−ζ23+ζ29−ζ31+ζ37−ζ47−ζ79+ζ101ζ7−ζ53−ζ61+ζ71−ζ77+ζ103−ζ109+ζ119−ζ13+ζ23−ζ29+ζ31−ζ37+ζ47+ζ79−ζ101−ζ7+ζ53−ζ61+ζ71+ζ77−ζ103−ζ109+ζ119−ζ13+ζ23+ζ29−ζ31−ζ37+ζ47−ζ79+ζ101ζ7−ζ53+ζ61−ζ71−ζ77+ζ103+ζ109−ζ119ζ13−ζ23−ζ29+ζ31+ζ37−ζ47+ζ79−ζ10100000000000000000000000000000000000000000000

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