Finite Group Databasebeta

← Group #11799510

Character table — Group #11799510

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222444444444444488888888881818181824242424242424242424242436363636363636363636484848484848
order122244443346666661212121212121212121212121212888822446666121212128816161616161616164412121212
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
χ51111-1-11111-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-11-111-1-1
χ61111-1-11111-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-111
χ71111-1-11111-1111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1-1-1-11-1-111
χ81111-1-11111-1111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111111-111-1-1
χ92222222222222222222222222222222-2-2-2-2000000000000-2-200000000000000
χ10222222-2-222-22222222222-2-2-2-2-2-2-2-22200000000000000000022−2−222−2−2000000
χ11222222-2-222-22222222222-2-2-2-2-2-2-2-222000000000000000000−2−222−2−222000000
χ122222-2-22222-2222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-20000000000002200000000000000
χ132222-2-2-2-2222222222-2-2-2-2-2-2-2-22222-2-200000000000000000022−2−2−2−222000000
χ142222-2-2-2-2222222222-2-2-2-2-2-2-2-22222-2-2000000000000000000−2−22222−2−2000000
χ1522-2-2002-22202-22-2-2-2000022-2-200000022-2-22-20022-2-200000000000000000000
χ1622-2-2002-22202-22-2-2-2000022-2-200000022-2-2-2200-2-22200000000000000000000
χ1722-2-2002-22202-22-2-2-2000022-2-2000000-2-222002i−2i00002i2i−2i−2i0000000000000000
χ1822-2-2002-22202-22-2-2-2000022-2-2000000-2-22200−2i2i0000−2i−2i2i2i0000000000000000
χ192-2-222-200220-2-2-2-22222-2-2000000002-22−22−20000000000002−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000
χ202-2-222-200220-2-2-2-22222-2-2000000002-22−22−20000000000002−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000
χ212-2-222-200220-2-2-2-22222-2-2000000002-2−22−22000000000000−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000
χ222-2-222-200220-2-2-2-22222-2-2000000002-2−22−22000000000000−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000
χ232-2-22-2200220-2-2-2-222-2-22200000000-222−22−2000000000000−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000
χ242-2-22-2200220-2-2-2-222-2-22200000000-222−22−2000000000000−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000
χ252-2-22-2200220-2-2-2-222-2-22200000000-22−22−220000000000002−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000
χ262-2-22-2200220-2-2-2-222-2-22200000000-22−22−220000000000002−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000
χ27444444441-2411-2-2-21-2-2-2-21-21-211-2-2110000000000000000000000000022-1-1-1-1
χ28444444441-2411-2-2-21-2-2-2-21-21-211-2-21100000000000000000000000000-2-21111
χ2944444444-214-2-2111-21111-21-21-2-211-2-200002222-1-1-1-1-1-1-1-10000000000000000
χ3044444444-214-2-2111-21111-21-21-2-211-2-20000-2-2-2-2111111110000000000000000
χ31444444-4-41-2-411-2-2-21-2-2-2-2-12-12-1-122110000000000000000000000000000−i3i3−i3i3
χ32444444-4-41-2-411-2-2-21-2-2-2-2-12-12-1-122110000000000000000000000000000i3−i3i3−i3
χ33444444-4-4-21-4-2-2111-211112-12-122-1-1-2-200000000−i3i3−i3i3−i3i3−i3i30000000000000000
χ34444444-4-4-21-4-2-2111-211112-12-122-1-1-2-200000000i3−i3i3−i3i3−i3i3−i30000000000000000
χ354444-4-4441-2-411-2-2-2122221-21-2-1-122-1-1000000000000000000000000002-2-1-111
χ364444-4-4441-2-411-2-2-2122221-21-2-1-122-1-100000000000000000000000000-2211-1-1
χ374444-4-444-21-4-2-2111-2-1-1-1-1-21-2122-1-122000022-2-2-1-1-1-111110000000000000000
χ384444-4-444-21-4-2-2111-2-1-1-1-1-21-2122-1-1220000-2-2221111-1-1-1-10000000000000000
χ394444-4-4-4-41-2411-2-2-212222-12-1211-2-2-1-10000000000000000000000000000−i3i3i3−i3
χ404444-4-4-4-41-2411-2-2-212222-12-1211-2-2-1-10000000000000000000000000000i3−i3−i3i3
χ414444-4-4-4-4-214-2-2111-2-1-1-1-12-12-1-2-2112200000000−i3i3−i3i3i3−i3i3−i30000000000000000
χ424444-4-4-4-4-214-2-2111-2-1-1-1-12-12-1-2-2112200000000i3−i3i3−i3−i3i3−i3i30000000000000000
χ4344-4-4004-4-210-221-1-123i−3i3i−3i-212-1003i−3i0000002-22i−2i-1-111−i−iii0000000000000000
χ4444-4-4004-4-210-221-1-123i−3i3i−3i-212-1003i−3i000000-22−2i2i11-1-1ii−i−i0000000000000000
χ4544-4-4004-4-210-221-1-12−3i3i−3i3i-212-100−3i3i0000002-2−2i2i-1-111ii−i−i0000000000000000
χ4644-4-4004-4-210-221-1-12−3i3i−3i3i-212-100−3i3i000000-222i−2i11-1-1−i−iii0000000000000000
χ4744-4-400-444404-44-4-4-40000-4-44400000000000000000000000000000000000000
χ4844-4-400-44-210-221-1-123i−3i3i−3i2-1-2100−3i3i0000000000−i3i3i3−i33−3−330000000000000000
χ4944-4-400-44-210-221-1-123i−3i3i−3i2-1-2100−3i3i0000000000i3−i3−i3i3−333−30000000000000000
χ5044-4-400-44-210-221-1-12−3i3i−3i3i2-1-21003i−3i0000000000−i3i3i3−i3−333−30000000000000000
χ5144-4-400-44-210-221-1-12−3i3i−3i3i2-1-21003i−3i0000000000i3−i3−i3i33−3−330000000000000000
χ524-44-40000440-44-44-4-40000000000000022−22−22220000000000000000000000000000
χ534-44-40000440-44-44-4-400000000000000−222222−220000000000000000000000000000
χ5488-8-8008-82-402-2-444-200002-4-2400000000000000000000000000000000000000
χ5588-8-800-882-402-2-444-20000-242-400000000000000000000000000000000000000
χ568-88-800002-40-224-44-2000000006-6000000000000000000000000000000000000
χ578-88-800002-40-224-44-200000000-66000000000000000000000000000000000000
χ588-88-80000-4204-4-22-246i−6i−6i6i000000000000000000000000000000000000000000
χ598-88-80000-4204-4-22-24−6i6i6i−6i000000000000000000000000000000000000000000
χ608-8-888-8002-40-2-244-42-4-444000000002-200000000000000000000000000000000
χ618-8-888-800-42044-2-22-422-2-200000000-4400000000000000000000000000000000
χ628-8-88-88002-40-2-244-4244-4-400000000-2200000000000000000000000000000000
χ638-8-88-8800-42044-2-22-4-2-222000000004-400000000000000000000000000000000

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