Finite Group Databasebeta

← Group #10594461

Character table — Group #10594461

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222222244444444446666888888888812121212121212121212121212121818181818182424242436
order12223344666666344666121212124444121212121212121212122244446612121212121222444461212122
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111-1-111-11-1-111-1-111-1-1-1-1-1-1-1-111-1
χ3111111111111111111111111-1-111111111111111-1-11-111-1-111-1-1-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ5111111111111111-1-111111111111-1-1-1-1-1-111-1-11-11-1-1-111111111-1-1-1-111-1-1-1-11
χ6111111111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-111-11-1-1-111-1-1111111-1-111-1-1-1
χ7111111111111111-1-11111111-1-111-1-1-1-1-1-111-1-11-1-11-1111-1-111-1-11111-1-1-1-111-1
χ8111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-11111111
χ9111111-1-111111111-1111-1-1-1-111111-1-1111-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111-1-11-1
χ10111111-1-111111111-1111-1-1-1-111-1-11-1-1111-1-1-1-11-1-111-11111-1-1-1-111-1-1-1-1-11-111
χ11111111-1-111111111-1111-1-1-1-1-1-1111-1-1111-1-1-1-1-111-1-11-1-1-1-1111111-1-1-1-11-11-11
χ12111111-1-111111111-1111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11-11-11111-1-1-1-111-1-11111-111-1-1
χ13111111-1-11111111-11111-1-1-1-11111-111-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-111-111-1-1
χ14111111-1-11111111-11111-1-1-1-111-1-1-111-1-1-1-1-11111-1-1-111111-1-1-1-1-1-111-1-11-11-11
χ15111111-1-11111111-11111-1-1-1-1-1-111-111-1-1-1-1-111-1-1111-1-1-1-1-11111-1-111-1-1-11-111
χ16111111-1-11111111-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-111-1-1-1-11111-1-1111-1-11-1
χ1722222-122-12-12-12-122-1-1-122-1-10022-12-12-1-1-1-1-1-1220020-1-100-1-100000000-1-1000
χ1822222-122-12-12-12-122-1-1-122-1-100-2-2-12-12-1-1-1-1-1-1-2-200-201100110000000011000
χ1922222-122-12-12-12-1-2-2-1-1-122-1-100221-21-211-1-1112-200-20-1-100-1-10000000011000
χ2022222-122-12-12-12-1-2-2-1-1-122-1-100-2-21-21-211-1-111-22002011001100000000-1-1000
χ2122222-1-2-2-12-12-12-12-2-1-1-1-2-2110022-1-212-1-11111-2200-201100-1-100000000-11000
χ2222222-1-2-2-12-12-12-12-2-1-1-1-2-21100-2-2-1-212-1-111112-20020-1-10011000000001-1000
χ2322222-1-2-2-12-12-12-1-22-1-1-1-2-211002212-1-21111-1-1-2-200201100-1-1000000001-1000
χ2422222-1-2-2-12-12-12-1-22-1-1-1-2-21100-2-212-1-21111-1-12200-20-1-1001100000000-11000
χ252222-12222-12-12-1-122-1-1-1-1-12222002-12-1-1-1-1-1-1-100220200-1-100-1-100000000-1-10
χ262222-12222-12-12-1-122-1-1-1-1-122-2-2002-12-1-1-1-1-1-1-100-2-20-20011001100000000110
χ272222-12222-12-12-1-1-2-2-1-1-1-1-1222200-21-2111-1-111002-20-200-1-100-1-100000000110
χ282222-12222-12-12-1-1-2-2-1-1-1-1-122-2-200-21-2111-1-11100-22020011001100000000-1-10
χ292222-12-2-22-12-12-1-12-2-1-1-111-2-2220021-2-1-1-1111100-220-200-1-10011000000001-10
χ302222-12-2-22-12-12-1-12-2-1-1-111-2-2-2-20021-2-1-1-11111002-202001100-1-100000000-110
χ312222-12-2-22-12-12-1-1-22-1-1-111-2-22200-2-1211111-1-100-2-20200-1-1001100000000-110
χ322222-12-2-22-12-12-1-1-22-1-1-111-2-2-2-200-2-1211111-1-100220-2001100-1-1000000001-10
χ3322-2-2222i−2i2-2-2-2-22200-22-22i−2i2i−2i00000000002i−2i00000000000000002-22i−2i0000000
χ3422-2-2222i−2i2-2-2-2-22200-22-22i−2i2i−2i00000000002i−2i0000000000000000-22−2i2i0000000
χ3522-2-222−2i2i2-2-2-2-22200-22-2−2i2i−2i2i0000000000−2i2i00000000000000002-2−2i2i0000000
χ3622-2-222−2i2i2-2-2-2-22200-22-2−2i2i−2i2i0000000000−2i2i0000000000000000-222i−2i0000000
χ372-22-22200-222-2-2-22002-2-200002-22i−2i0000000000000000002-22i−2i0000002i−2i00000
χ382-22-22200-222-2-2-22002-2-200002-2−2i2i0000000000000000002-2−2i2i000000−2i2i00000
χ392-22-22200-222-2-2-22002-2-20000-222i−2i000000000000000000-222i−2i000000−2i2i00000
χ402-22-22200-222-2-2-22002-2-20000-22−2i2i000000000000000000-22−2i2i0000002i−2i00000
χ414444-2-244-2-2-2-2-2-2144111-2-2-2-20000-2-2-2-21111110000000000000000000000000
χ424444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200002222-1-111-1-10000000000000000000000000
χ434444-2-2-4-4-2-2-2-2-2-214-411122220000-222-211-1-1-1-10000000000000000000000000
χ444444-2-2-4-4-2-2-2-2-2-21-44111222200002-2-22-1-1-1-1110000000000000000000000000
χ4544-4-44-24i−4i-2-42-424-2002-224i−4i−2i2i0000000000−2i2i000000000000000000000000000
χ4644-4-44-2−4i4i-2-42-424-2002-22−4i4i2i−2i00000000002i−2i000000000000000000000000000
χ4744-4-4-244i−4i42-42-4-2-2002-22−2i2i4i−4i0000000000−2i2i000000000000000000000000000
χ4844-4-4-24−4i4i42-42-4-2-2002-222i−2i−4i4i00000000002i−2i000000000000000000000000000
χ4944-4-4-2-24i−4i-22222-2100-11-1−2i2i−2i2i000000003-3i−i3i−3i0000000000000000000000000
χ5044-4-4-2-24i−4i-22222-2100-11-1−2i2i−2i2i00000000-33i−i−3i3i0000000000000000000000000
χ5144-4-4-2-2−4i4i-22222-2100-11-12i−2i2i−2i000000003-3−ii−3i3i0000000000000000000000000
χ5244-4-4-2-2−4i4i-22222-2100-11-12i−2i2i−2i00000000-33−ii3i−3i0000000000000000000000000
χ534-44-44-20024-2-42-4-200-2220000004i−4i00000000000000000000−2i2i0000000000000
χ544-44-44-20024-2-42-4-200-222000000−4i4i000000000000000000002i−2i0000000000000
χ554-44-4-2400-4-242-42-200-22200004-400000000000000000000-22000000000000000
χ564-44-4-2400-4-242-42-200-2220000-44000000000000000000002-2000000000000000
χ574-4-444400-4-4-444-4400-4-440000000000000000000000000000000000000000000
χ584-4-444-2002-424-2-4-20022-2000000000000000000000000−2i32i300000000000000000
χ594-4-444-2002-424-2-4-20022-20000000000000000000000002i3−2i300000000000000000
χ604-4-44-2400-42-4-242-20022-200000000000000000000000000000023−2300000000000
χ614-4-44-2400-42-4-242-20022-2000000000000000000000000000000−232300000000000
χ628-88-8-4-4004-4-44442002-2-20000000000000000000000000000000000000000000
χ638-8-88-4-400444-4-44200-2-220000000000000000000000000000000000000000000

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