Finite Group Databasebeta

← Group #10594219

Character table — Group #10594219

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222222244444444446666888888888812121212121212121212121212121818181818182424242436
order1222334466666623466612121212444466661212121212122244446612121212121244444461212122
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111111111111-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1
χ3111111111111111111111111-1-1111111111111-11-1-11111-1-1-1-111-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ511111111111111-11-111111111111-1-1-1-1-1-111-1-1-11-11-1-111111111-1-111-1-1-1-1-1-11
χ611111111111111-11-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-11111-1-111-1-111-11-11-1
χ711111111111111-11-11111111-1-111-1-1-1-1-1-111-1-1111-1-1-111-1-1-1-11111-1-1111-11-1-1
χ811111111111111-11-11111111-1-1-1-1-1-1-1-1-1-111-1-11-11-111-1-1-1-1-1-1-1-1-1-111-1-111111
χ9111111-1-111111111-1111-1-1-1-111111111-1-1-1-1-1-11-1-1-11-1-1-1-1-11111-1-1111111-1-1-1
χ10111111-1-111111111-1111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1111-1-111-1-111-1-1-1-11-1-111
χ11111111-1-111111111-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-111-1-11111-1-1-1-1-111-11
χ12111111-1-111111111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111-111111-1-1-1-1-1-11111-1-111-1
χ13111111-1-1111111-111111-1-1-1-11111-1-1-1-111-1-111-1-11-1-11-1-1-1-111111111-1-1-1-111-1
χ14111111-1-1111111-111111-1-1-1-111-1-1-1-1-1-111-1-111-111-11-111-1-111-1-1-1-1-1-111-111-11
χ15111111-1-1111111-111111-1-1-1-1-1-111-1-1-1-111-1-1111-1-11-11-1-111-1-111-1-1-1-1111-1-111
χ16111111-1-1111111-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-11111-1-1-1-11111-1-111-1-1-1
χ1722222-1222-12-12-12-12-1-1-122-1-100222-1-1-1-12-1-1-1-1020022-1-10000-1-10000000-10-10
χ1822222-1222-12-12-12-12-1-1-122-1-100-2-22-1-1-1-12-1-1-1-10-200-2-21100001100000001010
χ1922222-1222-12-12-1-2-1-2-1-1-122-1-10022-21111-2-1-1110200-2-2-1-10000-1-100000001010
χ2022222-1222-12-12-1-2-1-2-1-1-122-1-100-2-2-21111-2-1-1110-20022110000110000000-10-10
χ2122222-1-2-22-12-12-12-1-2-1-1-1-2-21100222-1-1-11-211110-2002-2110000-1-10000000-1010
χ2222222-1-2-22-12-12-12-1-2-1-1-1-2-21100-2-22-1-1-11-211110200-22-1-1000011000000010-10
χ2322222-1-2-22-12-12-1-2-12-1-1-1-2-2110022-2111-1211-1-10-200-22110000-1-1000000010-10
χ2422222-1-2-22-12-12-1-2-12-1-1-1-2-21100-2-2-2111-1211-1-102002-2-1-10000110000000-1010
χ252222-1222-12-12-122-12-1-1-1-1-1222200-12-1-12-1-1-1-1-120220000-1-1-1-100000000-10-100
χ262222-1222-12-12-122-12-1-1-1-1-122-2-200-12-1-12-1-1-1-1-1-20-2-2000011110000000010100
χ272222-1222-12-12-12-2-1-2-1-1-1-1-12222001-211-21-1-111-20-220000-1-1-1-10000000010100
χ282222-1222-12-12-12-2-1-2-1-1-1-1-122-2-2001-211-21-1-111202-20000111100000000-10-100
χ292222-12-2-2-12-12-122-1-2-1-1-111-2-22200-12-1-1-21111120-2-2000011-1-100000000-10100
χ302222-12-2-2-12-12-122-1-2-1-1-111-2-2-2-200-12-1-1-211111-20220000-1-1110000000010-100
χ312222-12-2-2-12-12-12-2-12-1-1-111-2-222001-2112-111-1-1-202-2000011-1-10000000010-100
χ322222-12-2-2-12-12-12-2-12-1-1-111-2-2-2-2001-2112-111-1-120-220000-1-11100000000-10100
χ3322-2-22200-22-2-22-2020-22-200002-22i−2i000000000000000000002-22i−2i002i−2i0000000
χ3422-2-22200-22-2-22-2020-22-200002-2−2i2i000000000000000000002-2−2i2i00−2i2i0000000
χ3522-2-22200-22-2-22-2020-22-20000-222i−2i00000000000000000000-222i−2i00−2i2i0000000
χ3622-2-22200-22-2-22-2020-22-20000-22−2i2i00000000000000000000-22−2i2i002i−2i0000000
χ372-22-2222i−2i-2-222-2-20202-2-22i−2i2i−2i00000000002i−2i00000000000000002-2002i−2i00000
χ382-22-2222i−2i-2-222-2-20202-2-22i−2i2i−2i00000000002i−2i0000000000000000-2200−2i2i00000
χ392-22-222−2i2i-2-222-2-20202-2-2−2i2i−2i2i0000000000−2i2i00000000000000002-200−2i2i00000
χ402-22-222−2i2i-2-222-2-20202-2-2−2i2i−2i2i0000000000−2i2i0000000000000000-22002i−2i00000
χ414444-2-244-2-2-2-2-2-2414111-2-2-2-20000-2-211-2-211110000000000000000000000000
χ424444-2-244-2-2-2-2-2-2-41-4111-2-2-2-2000022-1-12211-1-10000000000000000000000000
χ434444-2-2-4-4-2-2-2-2-2-241-411122220000-2-21122-1-1-1-10000000000000000000000000
χ444444-2-2-4-4-2-2-2-2-2-2-4141112222000022-1-1-2-2-1-1110000000000000000000000000
χ4544-4-44-200-4-2-42420-202-220000004i−4i0000000000000000000000−2i2i00000000000
χ4644-4-44-200-4-2-42420-202-22000000−4i4i00000000000000000000002i−2i00000000000
χ4744-4-4-2400242-4-2-40-202-2200004-40000000000000000000000-220000000000000
χ4844-4-4-2400242-4-2-40-202-220000-4400000000000000000000002-20000000000000
χ494-44-44-24i−4i-424-2-420-20-2224i−4i−2i2i0000000000−2i2i000000000000000000000000000
χ504-44-44-2−4i4i-424-2-420-20-222−4i4i2i−2i00000000002i−2i000000000000000000000000000
χ514-44-4-244i−4i2-4-242-40-20-222−2i2i4i−4i0000000000−2i2i000000000000000000000000000
χ524-44-4-24−4i4i2-4-242-40-20-2222i−2i−4i4i00000000002i−2i000000000000000000000000000
χ534-44-4-2-24i−4i22-2-2220101-1-1−2i2i−2i2i0000003-300i−i3i−3i0000000000000000000000000
χ544-44-4-2-24i−4i22-2-2220101-1-1−2i2i−2i2i000000-3300i−i−3i3i0000000000000000000000000
χ554-44-4-2-2−4i4i22-2-2220101-1-12i−2i2i−2i0000003-300−ii−3i3i0000000000000000000000000
χ564-44-4-2-2−4i4i22-2-2220101-1-12i−2i2i−2i000000-3300−ii3i−3i0000000000000000000000000
χ574-4-4444004-4-4-4-44040-4-440000000000000000000000000000000000000000000
χ584-4-444-20042-42-4-20-2022-2000000000000000000000000−2i32i300000000000000000
χ594-4-444-20042-42-4-20-2022-20000000000000000000000002i3−2i300000000000000000
χ604-4-44-2400-2-42-4240-2022-20000000000000000000000000023−23000000000000000
χ614-4-44-2400-2-42-4240-2022-200000000000000000000000000−2323000000000000000
χ6288-8-8-4-4004-444-44020-22-20000000000000000000000000000000000000000000
χ638-8-88-4-400-44444-4020-2-220000000000000000000000000000000000000000000

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