Finite Group Databasebeta

← Group #10594473

Character table — Group #10594473

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222222244444444446666888888888812121212121212121212121212121818181818182424242436
order1222334466666634466612121212444412121212121212121212222444661212121212122244446612124
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111111111111-1-111-1-1-111-1-111-1-1-1-1-1-11-1-11-1
χ3111111111111111111111111-1-1111111111111-111-1-1111-1-111-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ5111111111111111-1-111111111111-1-1-1-1-1-111-1-1-11-11-1-11111111111-1-1-1-1-1-1-1-11
χ6111111111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-111-11-1-111-1-111-1-11111-111-1-1
χ7111111111111111-1-11111111-1-111-1-1-1-1-1-111-1-111-1-11-111-1-111-1-1-1-111111-1-11-1
χ8111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11-11-111-1-1-1-1-1-1-1-111-1-1-1-111111
χ9111111-1-111111111-1111-1-1-1-111111-11-111-1-1-1-1-1-11-11-1-1-11111-1-11111-1-1-11-11-1
χ10111111-1-111111111-1111-1-1-1-111-1-11-11-111-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-111-1-1111
χ11111111-1-111111111-1111-1-1-1-1-1-1111-11-111-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-11111-1-11
χ12111111-1-111111111-1111-1-1-1-1-1-1-1-11-11-111-1-1-1-111-11-1111-1-1-1-1111111-1-11-11-1-1
χ13111111-1-11111111-11111-1-1-1-11111-11-11-1-1-1-1111-1-1-1-11-1-11111-1-111-1-1111-11-1-1
χ14111111-1-11111111-11111-1-1-1-111-1-1-11-11-1-1-1-111111-1-1-11111-1-1-1-1-1-111-1-111-1-11
χ15111111-1-11111111-11111-1-1-1-1-1-111-11-11-1-1-1-111-1-1-1111-1-1-1-11111-1-111-1-1-1-1111
χ16111111-1-11111111-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-11111-111-1-1-1-11111-1-111-11-11-1
χ1722222-122-12-12-12-122-1-1-122-1-10022-122-1-1-1-1-1-1-1022002-1-100-1-1000000000-1-100
χ1822222-122-12-12-12-122-1-1-122-1-100-2-2-122-1-1-1-1-1-1-10-2-200-21100110000000001100
χ1922222-122-12-12-12-1-2-2-1-1-122-1-100221-2-2111-1-11102-200-2-1-100-1-10000000001100
χ2022222-122-12-12-12-1-2-2-1-1-122-1-100-2-21-2-2111-1-1110-22002110011000000000-1-100
χ2122222-1-2-2-12-12-12-12-2-1-1-1-2-2110022-1-221-1-111110-2200-21100-1-1000000000-1100
χ2222222-1-2-2-12-12-12-12-2-1-1-1-2-21100-2-2-1-221-1-1111102-2002-1-100110000000001-100
χ2322222-1-2-2-12-12-12-1-22-1-1-1-2-211002212-2-11111-1-10-2-20021100-1-10000000001-100
χ2422222-1-2-2-12-12-12-1-22-1-1-1-2-21100-2-212-2-11111-1-102200-2-1-10011000000000-1100
χ252222-12222-12-12-1-122-1-1-1-1-12222002-1-12-1-1-1-1-1-120022000-1-100-1-1000000-100-10
χ262222-12222-12-12-1-122-1-1-1-1-122-2-2002-1-12-1-1-1-1-1-1-200-2-200011001100000010010
χ272222-12222-12-12-1-1-2-2-1-1-1-1-1222200-211-211-1-111-2002-2000-1-100-1-100000010010
χ282222-12222-12-12-1-1-2-2-1-1-1-1-122-2-200-211-211-1-111200-22000110011000000-100-10
χ292222-12-2-22-12-12-1-12-2-1-1-111-2-2220021-1-2-1-11111-200-22000-1-10011000000100-10
χ302222-12-2-22-12-12-1-12-2-1-1-111-2-2-2-20021-1-2-1-111112002-20001100-1-1000000-10010
χ312222-12-2-22-12-12-1-1-22-1-1-111-2-22200-2-1121111-1-1200-2-2000-1-10011000000-10010
χ322222-12-2-22-12-12-1-1-22-1-1-111-2-2-2-200-2-1121111-1-1-200220001100-1-1000000100-10
χ3322-2-22200-2-22-2-222002-2-200002i−2i2i−2i0000000000000000002i−2i2i−2i002-2000000000
χ3422-2-22200-2-22-2-222002-2-200002i−2i−2i2i0000000000000000002i−2i−2i2i00-22000000000
χ3522-2-22200-2-22-2-222002-2-20000−2i2i2i−2i000000000000000000−2i2i2i−2i00-22000000000
χ3622-2-22200-2-22-2-222002-2-20000−2i2i−2i2i000000000000000000−2i2i−2i2i002-2000000000
χ372-22-2222i−2i2-2-22-2-2200-22-22i−2i2i−2i00000000002i−2i0000000000000000002-22i−2i00000
χ382-22-2222i−2i2-2-22-2-2200-22-22i−2i2i−2i00000000002i−2i000000000000000000-22−2i2i00000
χ392-22-222−2i2i2-2-22-2-2200-22-2−2i2i−2i2i0000000000−2i2i0000000000000000002-2−2i2i00000
χ402-22-222−2i2i2-2-22-2-2200-22-2−2i2i−2i2i0000000000−2i2i000000000000000000-222i−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
χ434444-2-2-4-4-2-2-2-2-2-214-411122220000-22-2211-1-1-1-10000000000000000000000000
χ444444-2-2-4-4-2-2-2-2-2-21-44111222200002-22-2-1-1-1-1110000000000000000000000000
χ4544-4-44-2002-4-2-424-200-2220000004i−4i00000000000000000000−2i2i0000000000000
χ4644-4-44-2002-4-2-424-200-222000000−4i4i000000000000000000002i−2i0000000000000
χ4744-4-4-2400-4242-4-2-200-22200004i−4i00000000000000000000−2i2i000000000000000
χ4844-4-4-2400-4242-4-2-200-2220000−4i4i000000000000000000002i−2i000000000000000
χ494-44-44-24i−4i-2-4242-4-2002-224i−4i−2i2i0000000000−2i2i000000000000000000000000000
χ504-44-44-2−4i4i-2-4242-4-2002-22−4i4i2i−2i00000000002i−2i000000000000000000000000000
χ514-44-4-244i−4i42-4-2-42-2002-22−2i2i4i−4i0000000000−2i2i000000000000000000000000000
χ524-44-4-24−4i4i42-4-2-42-2002-222i−2i−4i4i00000000002i−2i000000000000000000000000000
χ534-44-4-2-24i−4i-222-222100-11-1−2i2i−2i2i000000003-3i−i3i−3i0000000000000000000000000
χ544-44-4-2-24i−4i-222-222100-11-1−2i2i−2i2i00000000-33i−i−3i3i0000000000000000000000000
χ554-44-4-2-2−4i4i-222-222100-11-12i−2i2i−2i000000003-3−ii−3i3i0000000000000000000000000
χ564-44-4-2-2−4i4i-222-222100-11-12i−2i2i−2i00000000-33−ii3i−3i0000000000000000000000000
χ574-4-444400-44-4-44-4400-4-440000000000000000000000000000000000000000000
χ584-4-444-200242-4-2-4-20022-2000000000000000000000000−2i32i300000000000000000
χ594-4-444-200242-4-2-4-20022-20000000000000000000000002i3−2i300000000000000000
χ604-4-44-2400-4-2-4242-20022-200000000000000000000000000000023−2300000000000
χ614-4-44-2400-4-2-4242-20022-2000000000000000000000000000000−232300000000000
χ6288-8-8-4-40044-444-42002-2-20000000000000000000000000000000000000000000
χ638-8-88-4-4004-444-44200-2-220000000000000000000000000000000000000000000

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