Finite Group Databasebeta

← Group #11799045

Character table — Group #11799045

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222444444444444488888888881818181824242424242424242424242436363636363636363636484848484848
order12224444334666666121212121212121212121212121288884444121212121212121288161616161616161624661212
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ51111-1-11111-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-11-111-1-1
χ61111-1-11111-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-111
χ71111-1-11111-1111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-11111-1-1-1-1-11-1-111
χ81111-1-11111-1111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111111-111-1-1
χ92222222222222222222222222222222-2-2-2-2000000000000-2-200000000000000
χ10222222-2-222-2222222222222-2-2-2-2-2-2-2-200000000000000000022−2−222−2−2000000
χ11222222-2-222-2222222222222-2-2-2-2-2-2-2-2000000000000000000−2−222−2−222000000
χ122222-2-22222-2222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-20000000000002200000000000000
χ132222-2-2-2-2222222222-2-2-2-2-2-222-2-2-2-22200000000000000000022−2−2−2−222000000
χ142222-2-2-2-2222222222-2-2-2-2-2-222-2-2-2-222000000000000000000−2−22222−2−2000000
χ152-22-22i−2i00220-22-22-2-22i2i−2i−2i2i−2i000000002−22−2000000000000−i2i2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000000
χ162-22-22i−2i00220-22-22-2-22i2i−2i−2i2i−2i000000002−22−2000000000000−i2i2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000
χ172-22-22i−2i00220-22-22-2-22i2i−2i−2i2i−2i00000000−22−22000000000000i2−i2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000
χ182-22-22i−2i00220-22-22-2-22i2i−2i−2i2i−2i00000000−22−22000000000000i2−i2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000
χ192-22-2−2i2i00220-22-22-2-2−2i−2i2i2i−2i2i000000002−22−2000000000000i2−i2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000
χ202-22-2−2i2i00220-22-22-2-2−2i−2i2i2i−2i2i000000002−22−2000000000000i2−i2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000000
χ212-22-2−2i2i00220-22-22-2-2−2i−2i2i2i−2i2i00000000−22−22000000000000−i2i2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000
χ222-22-2−2i2i00220-22-22-2-2−2i−2i2i2i−2i2i00000000−22−22000000000000−i2i2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000
χ232-2-22002-2220-2-2-2-2220000000022-2-20022-2-22i−2i002i2i−2i−2i00000000000000000000
χ242-2-22002-2220-2-2-2-2220000000022-2-20022-2-2−2i2i00−2i−2i2i2i00000000000000000000
χ252-2-22002-2220-2-2-2-2220000000022-2-200-2-222002-2000022-2-20000000000000000
χ262-2-22002-2220-2-2-2-2220000000022-2-200-2-22200-220000-2-2220000000000000000
χ27444444441-241-2-211-21111-2-2-2-21-21-21100002222-1-1-1-1-1-1-1-10000000000000000
χ28444444441-241-2-211-21111-2-2-2-21-21-2110000-2-2-2-2111111110000000000000000
χ2944444444-214-211-2-21-2-2-2-21111-21-21-2-20000000000000000000000000022-1-1-1-1
χ3044444444-214-211-2-21-2-2-2-21111-21-21-2-200000000000000000000000000-2-21111
χ31444444-4-41-2-41-2-211-21111-2-222-12-12-1-100000000−i3i3−i3i3−i3i3−i3i30000000000000000
χ32444444-4-41-2-41-2-211-21111-2-222-12-12-1-100000000i3−i3i3−i3i3−i3i3−i30000000000000000
χ33444444-4-4-21-4-211-2-21-2-2-2-211-1-12-12-1220000000000000000000000000000−i3i3−i3i3
χ34444444-4-4-21-4-211-2-21-2-2-2-211-1-12-12-1220000000000000000000000000000i3−i3i3−i3
χ354444-4-4441-2-41-2-211-2-1-1-1-122221-21-2-1-1000022-2-2-1-1-1-111110000000000000000
χ364444-4-4441-2-41-2-211-2-1-1-1-122221-21-2-1-10000-2-2221111-1-1-1-10000000000000000
χ374444-4-444-21-4-211-2-212222-1-1-1-1-21-2122000000000000000000000000002-2-1-111
χ384444-4-444-21-4-211-2-212222-1-1-1-1-21-212200000000000000000000000000-2211-1-1
χ394444-4-4-4-41-241-2-211-2-1-1-1-122-2-2-12-121100000000−i3i3−i3i3i3−i3i3−i30000000000000000
χ404444-4-4-4-41-241-2-211-2-1-1-1-122-2-2-12-121100000000i3−i3i3−i3−i3i3−i3i30000000000000000
χ414444-4-4-4-4-214-211-2-212222-1-1112-12-1-2-20000000000000000000000000000−i3i3i3−i3
χ424444-4-4-4-4-214-211-2-212222-1-1112-12-1-2-20000000000000000000000000000i3−i3−i3i3
χ4344-4-400004404-44-4-4-40000000000000022−22−22220000000000000000000000000000
χ4444-4-400004404-44-4-4-400000000000000−222222−220000000000000000000000000000
χ454-4-44004-41-20-122-11-23i−3i3i−3i00001-2-123i−3i00002i−2i2-2−i−iii-1-1110000000000000000
χ464-4-44004-41-20-122-11-23i−3i3i−3i00001-2-123i−3i0000−2i2i-22ii−i−i11-1-10000000000000000
χ474-4-44004-41-20-122-11-2−3i3i−3i3i00001-2-12−3i3i00002i−2i-22−i−iii11-1-10000000000000000
χ484-4-44004-41-20-122-11-2−3i3i−3i3i00001-2-12−3i3i0000−2i2i2-2ii−i−i-1-1110000000000000000
χ494-4-4400-441-20-122-11-23i−3i3i−3i0000-121-2−3i3i000000003−3−33−i3i3i3−i30000000000000000
χ504-4-4400-441-20-122-11-23i−3i3i−3i0000-121-2−3i3i00000000−333−3i3−i3−i3i30000000000000000
χ514-4-4400-441-20-122-11-2−3i3i−3i3i0000-121-23i−3i000000003−3−33i3−i3−i3i30000000000000000
χ524-4-4400-441-20-122-11-2−3i3i−3i3i0000-121-23i−3i00000000−333−3−i3i3i3−i30000000000000000
χ534-4-4400-44440-4-4-4-44400000000-4-4440000000000000000000000000000000000
χ5488-8-800002-4024-4-2-246-6-66000000000000000000000000000000000000000000
χ5588-8-800002-4024-4-2-24-666-6000000000000000000000000000000000000000000
χ5688-8-80000-420-4-2244-20000006i−6i00000000000000000000000000000000000000
χ5788-8-80000-420-4-2244-2000000−6i6i00000000000000000000000000000000000000
χ588-88-88i−8i002-40-2-442-242i2i−2i−2i−4i4i0000000000000000000000000000000000000000
χ598-88-88i−8i00-42042-2-44-2−4i−4i4i4i2i−2i0000000000000000000000000000000000000000
χ608-88-8−8i8i002-40-2-442-24−2i−2i2i2i4i−4i0000000000000000000000000000000000000000
χ618-88-8−8i8i00-42042-2-44-24i4i−4i−4i−2i2i0000000000000000000000000000000000000000
χ628-8-88008-8-4204-2-24-4200000000-424-20000000000000000000000000000000000
χ638-8-8800-88-4204-2-24-42000000004-2-420000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.