Finite Group Databasebeta

← Group #14301748

Character table — Group #14301748

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222444444455888888888101010101012121212161616161616161620202020202020242424244040404040404040404040404048486060606060606060120120
order1222236566610101044410101212153030304441212222420203030606060608888121212101010104881212242424242424242410202444888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-111111111-1-1-1-1111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-111-1-111111111111-1-1-1-111-1-1-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-111
χ61111111111111111-111-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-111-11111-1-1
χ71111111111111111-111-1-1111111111-1-111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-111111-1-1
χ81111111111111111-111-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-11111111-1-11-1-1-1-111
χ911111111111111-1-1111111111-1-1-1-1-1111111111111ii−i−i-1-1-11111-1i−i-1-1ii−i−iii−i−i11-1-1-1-1ii−i−ii−i
χ1011111111111111-1-1111111111-1-1-1-1-1111111111111−i−iii-1-1-11111-1−ii-1-1−i−iii−i−iii11-1-1-1-1−i−iii−ii
χ1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1i−i-1-1ii−i−iii−i−i-1-11111−i−iii−ii
χ1211111111111111-1-1111111111-1-1-1-1-1-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1−ii-1-1−i−iii−i−iii-1-11111ii−i−ii−i
χ1311111111111111-1-1-111-1-11111-1-1-1-1-111-1-1-1-111-1-1-1-1ii−i−i-1-1-111111−ii11ii−i−i−i−iii-1-11-1-11−i−iiii−i
χ1411111111111111-1-1-111-1-11111-1-1-1-1-111-1-1-1-111-1-1-1-1−i−iii-1-1-111111i−i11−i−iiiii−i−i-1-11-1-11ii−i−i−ii
χ1511111111111111-1-1-111-1-11111-1-1-1-1-1-1-111-1-111-1-1-1-1ii−i−i-1-1-1-1-1-1-11−ii11ii−i−i−i−iii11-111-1ii−i−i−ii
χ1611111111111111-1-1-111-1-11111-1-1-1-1-1-1-111-1-111-1-1-1-1−i−iii-1-1-1-1-1-1-11i−i11−i−iiiii−i−i11-111-1−i−iiii−i
χ1722222-1-12-1-1-122222222-1-1-1-1-1-1222-1-1000022-1-1-1-1-1-12222-1-1-10000222-1-1-1-1-1-1-1-1-1-1000000000000
χ1822222-1-12-1-1-122222222-1-1-1-1-1-1222-1-1000022-1-1-1-1-1-1-2-2-2-2-1-1-100002-2-2-1-111111111000000000000
χ1922222-1-12-1-1-122222-22211-1-1-1-1222-1-10000-2-2-1-111112222-1-1-10000-2-2-211-1-1-1-11111000000000000
χ2022222-1-12-1-1-122222-22211-1-1-1-1222-1-10000-2-2-1-11111-2-2-2-2-1-1-10000-222111111-1-1-1-1000000000000
χ2122222-1-12-1-1-1222-2-2222-1-1-1-1-1-1-2-2-211000022-1-1-1-1-1-12i2i−2i−2i1110000-22i−2i11−i−iii−i−iii000000000000
χ2222222-1-12-1-1-1222-2-2222-1-1-1-1-1-1-2-2-211000022-1-1-1-1-1-1−2i−2i2i2i1110000-2−2i2i11ii−i−iii−i−i000000000000
χ2322222-1-12-1-1-1222-2-2-22211-1-1-1-1-2-2-2110000-2-2-1-111112i2i−2i−2i11100002−2i2i-1-1−i−iiiii−i−i000000000000
χ2422222-1-12-1-1-1222-2-2-22211-1-1-1-1-2-2-2110000-2-2-1-11111−2i−2i2i2i111000022i−2i-1-1ii−i−i−i−iii000000000000
χ25222-2-22222-2-2-2-222202-20022-2-2-22-2220000002-200000000-2-22000000000000000000000002-22-200
χ26222-2-22222-2-2-2-222202-20022-2-2-22-2220000002-200000000-2-2200000000000000000000000-22-2200
χ27222-2-22222-2-2-2-22-2-202-20022-2-22-22-2-20000002-20000000022-2000000000000000000000002i−2i−2i2i00
χ28222-2-22222-2-2-2-22-2-202-20022-2-22-22-2-20000002-20000000022-200000000000000000000000−2i2i2i−2i00
χ2922-22-2222-22-2-2-22220-220022-2-2-2-2222000000-2200002-22-22-2-20000000002-22-20000000000000000
χ3022-22-2222-22-2-2-22220-220022-2-2-2-2222000000-220000-22-222-2-2000000000-22-220000000000000000
χ3122-22-2222-22-2-2-22-2-20-220022-2-222-2-2-2000000-2200002i−2i−2i2i-2220000000002i−2i−2i2i0000000000000000
χ3222-22-2222-22-2-2-22-2-20-220022-2-222-2-2-2000000-220000−2i2i2i−2i-222000000000−2i2i2i−2i0000000000000000
χ3322-22-2-1-121-11-2-22220-223−3-1-111-2-22-1-10000001-133−3−32-22-2-11100000003−3-11-113−33−3000000000000
χ3422-22-2-1-121-11-2-22220-223−3-1-111-2-22-1-10000001-133−3−3-22-22-11100000003−31-11-1−33−33000000000000
χ3522-22-2-1-121-11-2-22220-22−33-1-111-2-22-1-10000001-1−3−3332-22-2-1110000000−33-11-11−33−33000000000000
χ3622-22-2-1-121-11-2-22220-22−33-1-111-2-22-1-10000001-1−3−333-22-22-1110000000−331-11-13−33−3000000000000
χ3722-22-2-1-121-11-2-22-2-20-223−3-1-11122-2110000001-133−3−32i−2i−2i2i1-1-10000000−33−iii−ii3−i3−i3i3000000000000
χ3822-22-2-1-121-11-2-22-2-20-223−3-1-11122-2110000001-133−3−3−2i2i2i−2i1-1-10000000−33i−i−ii−i3i3i3−i3000000000000
χ3922-22-2-1-121-11-2-22-2-20-22−33-1-11122-2110000001-1−3−3332i−2i−2i2i1-1-100000003−3−iii−i−i3i3i3−i3000000000000
χ4022-22-2-1-121-11-2-22-2-20-22−33-1-11122-2110000001-1−3−333−2i2i2i−2i1-1-100000003−3i−i−iii3−i3−i3i3000000000000
χ4122-2-22222-2-22222220-2-20022222-2-222002-200-2-200000000-22-2000000000000000002-2-2002000000
χ4222-2-22222-2-22222220-2-20022222-2-22200-2200-2-200000000-22-200000000000000000-22200-2000000
χ4322-2-22222-2-22222-2-20-2-2002222-222-2-2002-200-2-2000000002-22000000000000000002-2200-2000000
χ4422-2-22222-2-22222-2-20-2-2002222-222-2-200-2200-2-2000000002-2200000000000000000-22-2002000000
χ454444444-1444-1-1-1004-1-144-1-1-1-1000004444-1-1-1-1-1-1-1-10000000-1-1-1-10000000000000-1-10000000000
χ464444444-1444-1-1-1004-1-144-1-1-1-100000-4-4-4-4-1-1-1-1-1-1-1-1000000011110000000000000110000000000
χ474444444-1444-1-1-100-4-1-1-4-4-1-1-1-10000044-4-411-1-111110000000-1-1-1-10000000000000110000000000
χ484444444-1444-1-1-100-4-1-1-4-4-1-1-1-100000-4-44411-1-11111000000011110000000000000-1-10000000000
χ49444-4-4-2-24-222-4-444404-400-2-222-44-4-2-2000000-220000000022-200000000000000000000000000000
χ50444-4-4-2-24-222-4-44-4-404-400-2-2224-4422000000-2200000000-2-2200000000000000000000000000000
χ5144-4-4444-1-4-44-1-1-10001100-1-1-1-100000004-4−5511−55−550000000−5−5550000000000000-110000000000
χ5244-4-4444-1-4-44-1-1-10001100-1-1-1-100000004-45−5115−55−5000000055−5−50000000000000-110000000000
χ5344-4-4444-1-4-44-1-1-10001100-1-1-1-10000000-44−5511−55−55000000055−5−500000000000001-10000000000
χ5444-4-4444-1-4-44-1-1-10001100-1-1-1-10000000-445−5115−55−50000000−5−55500000000000001-10000000000
χ5544-4-44-2-2422-2444440-4-400-2-2-2-24-4-4-2-200000022000000002-2200000000000000000000000000000
χ5644-4-44-2-2422-2444-4-40-4-400-2-2-2-2-444220000002200000000-22-200000000000000000000000000000
χ574-40004-4400000-44i−4i000004-4000004i−4i2-2000000000000000002-22-200000000000000002i−2i0000000
χ584-40004-4400000-44i−4i000004-4000004i−4i-2200000000000000000-22-220000000000000000−2i2i0000000
χ594-40004-4400000-4−4i4i000004-400000−4i4i2-2000000000000000002-22-20000000000000000−2i2i0000000
χ604-40004-4400000-4−4i4i000004-400000−4i4i-2200000000000000000-22-2200000000000000002i−2i0000000
χ6188888-4-4-2-4-4-4-2-2-2008-2-2-4-41111000000000-2-2111111000000000000000000000000000000000000
χ6288888-4-4-2-4-4-4-2-2-200-8-2-24411110000000002211-1-1-1-1000000000000000000000000000000000000
χ63888-8-888-28-8-822-2000-2200-2-22200000000000-220000000000000000000000000000000000000000
χ64888-8-8-4-4-2-44422-2000-220011-1-1000000000001-1−151515−15000000000000000000000000000000000000
χ65888-8-8-4-4-2-44422-2000-220011-1-1000000000001-115−15−1515000000000000000000000000000000000000
χ6688-88-888-2-88-822-20002-200-2-222000000000002-20000000000000000000000000000000000000000
χ6788-88-8-4-4-24-4422-20002-243−4311-1-100000000000-11−3−333000000000000000000000000000000000000
χ6888-88-8-4-4-24-4422-20002-2−434311-1-100000000000-1133−3−3000000000000000000000000000000000000
χ6988-8-88-4-4-244-4-2-2-200022001111000000000−2525-1-15−55−5000000000000000000000000000000000000
χ7088-8-88-4-4-244-4-2-2-20002200111100000000025−25-1-1−55−55000000000000000000000000000000000000
χ718-80008-8-2000−252520000000-22−2525000004-400000000000000000−1+51−5−1−51+50000000000000000000000000
χ728-80008-8-2000−252520000000-22−252500000-44000000000000000001−5−1+51+5−1−50000000000000000000000000
χ738-80008-8-200025−2520000000-2225−25000004-400000000000000000−1−51+5−1+51−50000000000000000000000000
χ748-80008-8-200025−2520000000-2225−2500000-44000000000000000001+5−1−51−5−1+50000000000000000000000000
χ758-8000-44800000-88i−8i00000-4400000−4i4i000000000000000000000000000000000000000000000000
χ768-8000-44800000-8−8i8i00000-44000004i−4i000000000000000000000000000000000000000000000000
χ7716-16000-88-4000−4545400000002-225−2500000000000000000000000000000000000000000000000000000
χ7816-16000-88-400045−45400000002-2−252500000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).