Finite Group Databasebeta

← Group #11799648

Character table — Group #11799648

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
χ10222222-2-222-22222222222-2-2-2-2-2-222-2-200000000000000000022−2−222−2−2000000
χ11222222-2-222-22222222222-2-2-2-2-2-222-2-2000000000000000000−2−222−2−222000000
χ122222-2-22222-2222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-20000000000002200000000000000
χ132222-2-2-2-2222222222-2-2-2-2-2-2-2-222-2-22200000000000000000022−2−2−2−222000000
χ142222-2-2-2-2222222222-2-2-2-2-2-2-2-222-2-222000000000000000000−2−22222−2−2000000
χ1522-2-2002-222022-2-2-2-2000022-2-200000022-2-22-20022-2-200000000000000000000
χ1622-2-2002-222022-2-2-2-2000022-2-200000022-2-2-2200-2-22200000000000000000000
χ1722-2-2002-222022-2-2-2-2000022-2-2000000-2-222002i−2i00002i2i−2i−2i0000000000000000
χ1822-2-2002-222022-2-2-2-2000022-2-2000000-2-22200−2i2i0000−2i−2i2i2i0000000000000000
χ192-22-22i−2i00220-2-222-2-22i2i−2i−2i0000002i−2i002−22−2000000000000−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
χ202-22-22i−2i00220-2-222-2-22i2i−2i−2i0000002i−2i002−22−2000000000000−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
χ212-22-22i−2i00220-2-222-2-22i2i−2i−2i0000002i−2i00−22−22000000000000i2−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
χ222-22-22i−2i00220-2-222-2-22i2i−2i−2i0000002i−2i00−22−22000000000000i2−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
χ232-22-2−2i2i00220-2-222-2-2−2i−2i2i2i000000−2i2i002−22−2000000000000i2−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
χ242-22-2−2i2i00220-2-222-2-2−2i−2i2i2i000000−2i2i002−22−2000000000000i2−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
χ252-22-2−2i2i00220-2-222-2-2−2i−2i2i2i000000−2i2i00−22−22000000000000−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
χ262-22-2−2i2i00220-2-222-2-2−2i−2i2i2i000000−2i2i00−22−22000000000000−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
χ27444444441-241-2-211-2-2-2-2-21-21-2-2-211110000000000000000000000000022-1-1-1-1
χ28444444441-241-2-211-2-2-2-2-21-21-2-2-2111100000000000000000000000000-2-21111
χ2944444444-214-211-2-211111-21-2111-2-2-2-200002222-1-1-1-1-1-1-1-10000000000000000
χ3044444444-214-211-2-211111-21-2111-2-2-2-20000-2-2-2-2111111110000000000000000
χ31444444-4-41-2-41-2-211-2-2-2-2-2-12-122211-1-10000000000000000000000000000−i3i3−i3i3
χ32444444-4-41-2-41-2-211-2-2-2-2-2-12-122211-1-10000000000000000000000000000i3−i3i3−i3
χ33444444-4-4-21-4-211-2-2111112-12-1-1-1-2-22200000000−i3i3−i3i3−i3i3−i3i30000000000000000
χ34444444-4-4-21-4-211-2-2111112-12-1-1-1-2-22200000000i3−i3i3−i3i3−i3i3−i30000000000000000
χ354444-4-4441-2-41-2-211-222221-21-222-1-1-1-1000000000000000000000000002-2-1-111
χ364444-4-4441-2-41-2-211-222221-21-222-1-1-1-100000000000000000000000000-2211-1-1
χ374444-4-444-21-4-211-2-21-1-1-1-1-21-21-1-12222000022-2-2-1-1-1-111110000000000000000
χ384444-4-444-21-4-211-2-21-1-1-1-1-21-21-1-122220000-2-2221111-1-1-1-10000000000000000
χ394444-4-4-4-41-241-2-211-22222-12-12-2-2-1-1110000000000000000000000000000−i3i3i3−i3
χ404444-4-4-4-41-241-2-211-22222-12-12-2-2-1-1110000000000000000000000000000i3−i3−i3i3
χ414444-4-4-4-4-214-211-2-21-1-1-1-12-12-11122-2-200000000−i3i3−i3i3i3−i3i3−i30000000000000000
χ424444-4-4-4-4-214-211-2-21-1-1-1-12-12-11122-2-200000000i3−i3i3−i3−i3i3−i3i30000000000000000
χ4344-4-4004-4-210-21-122-13i−3i3i−3i-212-13i−3i000000002-22i−2i-1-111−i−iii0000000000000000
χ4444-4-4004-4-210-21-122-13i−3i3i−3i-212-13i−3i00000000-22−2i2i11-1-1ii−i−i0000000000000000
χ4544-4-4004-4-210-21-122-1−3i3i−3i3i-212-1−3i3i000000002-2−2i2i-1-111ii−i−i0000000000000000
χ4644-4-4004-4-210-21-122-1−3i3i−3i3i-212-1−3i3i00000000-222i−2i11-1-1−i−iii0000000000000000
χ4744-4-400-4444044-4-4-4-40000-4-44400000000000000000000000000000000000000
χ4844-4-400-44-210-21-122-13i−3i3i−3i2-1-21−3i3i000000000000−i3i3i3−i33−3−330000000000000000
χ4944-4-400-44-210-21-122-13i−3i3i−3i2-1-21−3i3i000000000000i3−i3−i3i3−333−30000000000000000
χ5044-4-400-44-210-21-122-1−3i3i−3i3i2-1-213i−3i000000000000−i3i3i3−i3−333−30000000000000000
χ5144-4-400-44-210-21-122-1−3i3i−3i3i2-1-213i−3i000000000000i3−i3−i3i33−3−330000000000000000
χ524-4-440000440-4-4-4-4440000000000000022−22−22220000000000000000000000000000
χ534-4-440000440-4-4-4-44400000000000000−222222−220000000000000000000000000000
χ5488-8-8008-82-402-44-2-2400002-4-2400000000000000000000000000000000000000
χ5588-8-800-882-402-44-2-240000-242-400000000000000000000000000000000000000
χ568-88-88i−8i002-40-24-42-24−4i−4i4i4i0000002i−2i0000000000000000000000000000000000
χ578-88-88i−8i00-4204-22-44-22i2i−2i−2i000000−4i4i0000000000000000000000000000000000
χ588-88-8−8i8i002-40-24-42-244i4i−4i−4i000000−2i2i0000000000000000000000000000000000
χ598-88-8−8i8i00-4204-22-44-2−2i−2i2i2i0000004i−4i0000000000000000000000000000000000
χ608-8-8800002-40-244-22-40000000000006i−6i00000000000000000000000000000000
χ618-8-8800002-40-244-22-4000000000000−6i6i00000000000000000000000000000000
χ628-8-880000-4204-2-24-426-6-66000000000000000000000000000000000000000000
χ638-8-880000-4204-2-24-42-666-6000000000000000000000000000000000000000000

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