Finite Group Databasebeta

← Group #10594540

Character table — Group #10594540

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222244444444444444666666668888888812121212121212121212121212121212242436363636
order12223344666666344666121212121212121222446666121212121212121224444466121212121212121212122444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-11-1-11-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1111111111-111-1111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-1111-1-11111-1-111111111-1-1-1-111-1-11-11-1-1-111-1-111-1-111-1-1-111-1
χ6111111111111111-1-1111-1-11111-1-111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-111-1-1-1-1111-1-11
χ7111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-11111-1-11111-1-11-1-11
χ8111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1111-1-111-1-111-1-111-111-1
χ9111111-1-111111111-1111-1-1-1-1-1-11111-1-11111-11-1-1-1-11111-1-1-1111-1-1-1-111-1-11-111-1-1
χ10111111-1-111111111-1111-1-1-1-1-1-11111-1-11111-11-1-1-1-111-1111-1-1-1-1-1-1-1-11111-11-1-111
χ11111111-1-111111111-1111-1-1-1-1-1-111-1-111-1-1-1-1-11-1-1-1-1111-1-1-111111111-1-1-1-11-1-1-111
χ12111111-1-111111111-1111-1-1-1-1-1-111-1-111-1-1-1-1-11-1-1-1-111-1-1111-1-1-11111-1-111-1111-1-1
χ13111111-1-11111111-1111111-1-1-1-1-1-111-1-111111-111-1-1-1-11-1-111-11111-1-1-1-1-1-1-11-11-11
χ14111111-1-11111111-1111111-1-1-1-1-1-111-1-111111-111-1-1-1-1-1-11-111-1-111-1-1-1-1111-11-11-1
χ15111111-1-11111111-1111111-1-1-1-1-1-1-1-111-1-1-1-11-111-1-1-1-111-11-1-111-1-11111-1-1-111-11-1
χ16111111-1-11111111-1111111-1-1-1-1-1-1-1-111-1-1-1-11-111-1-1-1-1-111-1-11-1-1-1-11111111-1-11-11
χ1722222-1222-12-12-1-122-1-1-12222-1-12200000000-1-1-1-1-1-1-1-1202202-1-1000000-1-1-1-10000
χ1822222-1222-12-12-1-122-1-1-12222-1-12200000000-1-1-1-1-1-1-1-1-20-2-20-21100000011110000
χ1922222-1222-12-12-1-1-2-2-1-1-1-2-222-1-1-2-2000000001111-1-111202-20-2-1-1000000-1-1110000
χ2022222-1222-12-12-1-1-2-2-1-1-1-2-222-1-1-2-2000000001111-1-111-20-22021100000011-1-10000
χ2122222-1-2-22-12-12-1-12-2-1-1-1-2-2-2-21122000000001-11111-1-120-2-202-1-100000011-110000
χ2222222-1-2-22-12-12-1-12-2-1-1-1-2-2-2-21122000000001-11111-1-1-20220-211000000-1-11-10000
χ2322222-1-2-22-12-12-1-1-22-1-1-122-2-211-2-200000000-11-1-1111120-220-2-1-1000000111-10000
χ2422222-1-2-22-12-12-1-1-22-1-1-122-2-211-2-200000000-11-1-11111-202-20211000000-1-1-110000
χ252222-1222-12-12-12-122-1-1-1-1-1-1-122-1-12222-1-1-1-122-1-1-1-1-1-102002000-1-1-1-1-1-100000000
χ262222-1222-12-12-12-122-1-1-1-1-1-1-122-1-1-2-2-2-2111122-1-1-1-1-1-10-200-200011111100000000
χ272222-1222-12-12-12-1-2-2-1-1-111-1-122112222-1-1-1-1-2-211-1-1110-200-200011-1-11100000000
χ282222-1222-12-12-12-1-2-2-1-1-111-1-12211-2-2-2-21111-2-211-1-11102002000-1-111-1-100000000
χ292222-12-2-2-12-12-12-12-2-1-1-11111-2-2-1-122-2-2-1-1-1-1-221111-1-10200-20001111-1-100000000
χ302222-12-2-2-12-12-12-12-2-1-1-11111-2-2-1-1-2-2221111-221111-1-10-2002000-1-1-1-11100000000
χ312222-12-2-2-12-12-12-1-22-1-1-1-1-111-2-21122-2-2-1-1-1-12-2-1-111110-2002000-1-1111100000000
χ322222-12-2-2-12-12-12-1-22-1-1-1-1-111-2-211-2-22211112-2-1-111110200-200011-1-1-1-100000000
χ332-22-2222i−2i-2-222-2-2200-22-2002i−2i2i−2i002-22i−2i22-2-200002i−2i0000000000002i−2i0000000000
χ342-22-2222i−2i-2-222-2-2200-22-2002i−2i2i−2i00-22−2i2i-2-22200002i−2i000000000000−2i2i0000000000
χ352-22-222−2i2i-2-222-2-2200-22-200−2i2i−2i2i002-2−2i2i22-2-20000−2i2i000000000000−2i2i0000000000
χ362-22-222−2i2i-2-222-2-2200-22-200−2i2i−2i2i00-222i−2i-2-2220000−2i2i0000000000002i−2i0000000000
χ372-22-2-122i−2i1-2-121-2-1001-11−i3i3−ii2i−2i3−32-22i−2i-1-11100−i3i3−ii3−300000000−i3i3−ii3−300000000
χ382-22-2-122i−2i1-2-121-2-1001-11−i3i3−ii2i−2i3−3-22−2i2i11-1-100−i3i3−ii3−300000000i3−i3i−i−3300000000
χ392-22-2-122i−2i1-2-121-2-1001-11i3−i3−ii2i−2i−332-22i−2i-1-11100i3−i3−ii−3300000000i3−i3−ii−3300000000
χ402-22-2-122i−2i1-2-121-2-1001-11i3−i3−ii2i−2i−33-22−2i2i11-1-100i3−i3−ii−3300000000−i3i3i−i3−300000000
χ412-22-2-12−2i2i1-2-121-2-1001-11−i3i3i−i−2i2i−332-2−2i2i-1-11100−i3i3i−i−3300000000−i3i3i−i−3300000000
χ422-22-2-12−2i2i1-2-121-2-1001-11−i3i3i−i−2i2i−33-222i−2i11-1-100−i3i3i−i−3300000000i3−i3−ii3−300000000
χ432-22-2-12−2i2i1-2-121-2-1001-11i3−i3i−i−2i2i3−32-2−2i2i-1-11100i3−i3i−i3−300000000i3−i3i−i3−300000000
χ442-22-2-12−2i2i1-2-121-2-1001-11i3−i3i−i−2i2i3−3-222i−2i11-1-100i3−i3i−i3−300000000−i3i3−ii−3300000000
χ454444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-200000000-2-21111110000000000000000000000
χ464444-2-244-2-2-2-2-2-21-4-411122-2-2-2-2220000000022-1-111-1-10000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-214-4111222222-2-2000000002-2-1-1-1-1110000000000000000000000
χ484444-2-2-4-4-2-2-2-2-2-21-44111-2-222222200000000-2211-1-1-1-10000000000000000000000
χ4944-4-44400-4-4-4-444400-4-440000000000000000000000000000000000000000000000
χ5044-4-44-200-42-424-2-20022-200000000000000000000000000000000000000−2i32i3000000
χ5144-4-44-200-42-424-2-20022-2000000000000000000000000000000000000002i3−2i3000000
χ5244-4-4-24002-42-4-24-20022-2000000000000−2i32i3−2i32i3000000000000000000000000000000
χ5344-4-4-24002-42-4-24-20022-20000000000002i3−2i32i3−2i3000000000000000000000000000000
χ544-44-44-24i−4i-424-2-42-2002-22004i−4i−2i2i00000000000000−2i2i000000000000000000000000
χ554-44-44-2−4i4i-424-2-42-2002-2200−4i4i2i−2i000000000000002i−2i000000000000000000000000
χ564-44-4-2-24i−4i22-2-222100-11-1−2i32i3−2i2i−2i2i23−230000000000i3−i3i−i−330000000000000000000000
χ574-44-4-2-24i−4i22-2-222100-11-12i3−2i3−2i2i−2i2i−23230000000000−i3i3i−i3−30000000000000000000000
χ584-44-4-2-2−4i4i22-2-222100-11-1−2i32i32i−2i2i−2i−23230000000000i3−i3−ii3−30000000000000000000000
χ594-44-4-2-2−4i4i22-2-222100-11-12i3−2i32i−2i2i−2i23−230000000000−i3i3−ii−330000000000000000000000
χ604-4-44440044-4-4-4-44004-4-40000000000000000000000000000000000000000000000
χ614-4-444-2004-2-42-42-200-222000000000000000000000000000000−2i32i300000000000000
χ624-4-444-2004-2-42-42-200-2220000000000000000000000000000002i3−2i300000000000000
χ634-4-44-2400-242-42-4-200-222000000000000−2i32i32i3−2i3000000000000000000000000000000
χ644-4-44-2400-242-42-4-200-2220000000000002i3−2i3−2i32i3000000000000000000000000000000
χ6588-8-8-4-4004444-4-4200-2-220000000000000000000000000000000000000000000000
χ668-8-88-4-400-4-444442002-2-20000000000000000000000000000000000000000000000

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