Finite Group Databasebeta

← Group #10594547

Character table — Group #10594547

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222244444444444444666666668888888812121212121212121212121212121212242436363636
order1222334466666634466612121212121212124444121212121212121212121212224444666612121212121212122444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-11-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-11-1111-1-111-1-1-1-11111-1-1-1-1
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
χ5111111111111111-1-111111-1-1-1-11111111111-1-1-1-111-1-1-11-1-11-1-1-11111-1-111-1-11-11-1
χ6111111111111111-1-111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-111-1-1-1-111-11-11
χ7111111111111111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-11111-1-11111-1-1-11-11
χ8111111111111111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1111-1-1-1-111-1-1111-11-1
χ9111111-1-111111111-1111-1-1-1-111-1-111-1-1-1-1-1-11-111-1-1-1-1-111-1-11-1-1111111-1-1-11-111-1
χ10111111-1-111111111-1111-1-1-1-111-1-111-1-1-1-1-1-11-111-1-1-1-1-1-1111-1-1-1-1-11111111-11-1-11
χ11111111-1-111111111-1111-1-1-1-111-1-1-1-11111111-111-1-1-1-111-1-1-111111-1-1-1-1-1-1-111-1-11
χ12111111-1-111111111-1111-1-1-1-111-1-1-1-11111111-111-1-1-1-11-1-111-111-1-1-1-1-1-1111-1-111-1
χ13111111-1-11111111-11111-1-111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-11111-11-1-1111111-1-1-1-11-1-1-111
χ14111111-1-11111111-11111-1-111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-1111-1-1-11111-1-111-1-111-1111-1-1
χ15111111-1-11111111-11111-1-111-1-1-1-1-1-1111111-11-1-1-1-111-1111-1-1-1-111-1-111-1-11-111-1-1
χ16111111-1-11111111-11111-1-111-1-1-1-1-1-1111111-11-1-1-1-111-1-11-111-1-1-1-1-1-11111-11-1-111
χ1722222-1222-12-1-12-122-1-1-1-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1202000-1-100-1-1-1-100000000
χ1822222-1222-12-1-12-122-1-1-1-1-1-1-1-1-122-2-2-2-2111122-1-1-1-1-1-1-20-20001100111100000000
χ1922222-1222-12-1-12-1-2-2-1-1-1-1-11111222222-1-1-1-1-2-211-1-111-20-20001100-1-11100000000
χ2022222-1222-12-1-12-1-2-2-1-1-1-1-1111122-2-2-2-21111-2-211-1-111202000-1-10011-1-100000000
χ2122222-1-2-22-12-1-12-12-2-1-1-11111-1-1-2-222-2-211112-2-1-11111-2020001100-1-1-1-100000000
χ2222222-1-2-22-12-1-12-12-2-1-1-11111-1-1-2-2-2-222-1-1-1-12-2-1-1111120-2000-1-100111100000000
χ2322222-1-2-22-12-1-12-1-22-1-1-111-1-111-2-222-2-21111-221111-1-120-2000-1-100-1-11100000000
χ2422222-1-2-22-12-1-12-1-22-1-1-111-1-111-2-2-2-222-1-1-1-1-221111-1-1-202000110011-1-100000000
χ252222-1222-12-122-1-122-1-1-1222222-1-100000000-1-1-1-1-1-1-1-102022200-1-10000-1-1-1-10000
χ262222-1222-12-122-1-122-1-1-1222222-1-100000000-1-1-1-1-1-1-1-10-20-2-2-20011000011110000
χ272222-1222-12-122-1-1-2-2-1-1-122-2-2-2-2-1-1000000001111-1-111020-22-200-1-10000-1-1110000
χ282222-1222-12-122-1-1-2-2-1-1-122-2-2-2-2-1-1000000001111-1-1110-202-220011000011-1-10000
χ292222-12-2-2-12-122-1-12-2-1-1-1-2-2-2-2221100000000-11-1-11111020-2-2200-1-10000111-10000
χ302222-12-2-2-12-122-1-12-2-1-1-1-2-2-2-2221100000000-11-1-111110-2022-200110000-1-1-110000
χ312222-12-2-2-12-122-1-1-22-1-1-1-2-222-2-211000000001-11111-1-10202-2-200-1-1000011-110000
χ322222-12-2-2-12-122-1-1-22-1-1-1-2-222-2-211000000001-11111-1-10-20-22200110000-1-11-10000
χ332-22-2222i−2i-2-222-2-2200-22-22i−2i00002i−2i2i−2i2-222-2-200002i−2i0000000000002i−2i0000000000
χ342-22-2222i−2i-2-222-2-2200-22-22i−2i00002i−2i−2i2i-22-2-22200002i−2i000000000000−2i2i0000000000
χ352-22-222−2i2i-2-222-2-2200-22-2−2i2i0000−2i2i2i−2i-22-2-2220000−2i2i0000000000002i−2i0000000000
χ362-22-222−2i2i-2-222-2-2200-22-2−2i2i0000−2i2i−2i2i2-222-2-20000−2i2i000000000000−2i2i0000000000
χ372-22-22-12i−2i-212-11-2-1001-11−ii3−3−i3i32i−2i2i−2i2-2-1-11100−i3i3−ii3−3000000−i3i300−ii3−300000000
χ382-22-22-12i−2i-212-11-2-1001-11−ii3−3−i3i32i−2i−2i2i-2211-1-100−i3i3−ii3−3000000i3−i300i−i−3300000000
χ392-22-22-12i−2i-212-11-2-1001-11−ii−33i3−i32i−2i2i−2i2-2-1-11100i3−i3−ii−33000000i3−i300−ii−3300000000
χ402-22-22-12i−2i-212-11-2-1001-11−ii−33i3−i32i−2i−2i2i-2211-1-100i3−i3−ii−33000000−i3i300i−i3−300000000
χ412-22-22-1−2i2i-212-11-2-1001-11i−i3−3i3−i3−2i2i2i−2i-2211-1-100i3−i3i−i3−3000000−i3i300−ii−3300000000
χ422-22-22-1−2i2i-212-11-2-1001-11i−i3−3i3−i3−2i2i−2i2i2-2-1-11100i3−i3i−i3−3000000i3−i300i−i3−300000000
χ432-22-22-1−2i2i-212-11-2-1001-11i−i−33−i3i3−2i2i2i−2i-2211-1-100−i3i3i−i−33000000i3−i300−ii3−300000000
χ442-22-22-1−2i2i-212-11-2-1001-11i−i−33−i3i3−2i2i−2i2i2-2-1-11100−i3i3i−i−33000000−i3i300i−i−3300000000
χ454444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-200000000-2-21111110000000000000000000000
χ464444-2-244-2-2-2-2-2-21-4-4111-2-22222-2-20000000022-1-111-1-10000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-214-41112222-2-22200000000-2211-1-1-1-10000000000000000000000
χ484444-2-2-4-4-2-2-2-2-2-21-4411122-2-22222000000002-2-1-1-1-1110000000000000000000000
χ4944-4-444004-4-4-44-44004-4-40000000000000000000000000000000000000000000000
χ5044-4-44-20042-42-2-4-200-22200000000000023−2323−23000000000000000000000000000000
χ5144-4-44-20042-42-2-4-200-222000000000000−2323−2323000000000000000000000000000000
χ5244-4-4-2400-2-42-442-200-22200000000000000000000000000000000−2i32i3000000000000
χ5344-4-4-2400-2-42-442-200-222000000000000000000000000000000002i3−2i3000000000000
χ544-44-4-244i−4i2-4-24-42-2002-224i−4i0000−2i2i000000000000−2i2i000000000000000000000000
χ554-44-4-24−4i4i2-4-24-42-2002-22−4i4i00002i−2i0000000000002i−2i000000000000000000000000
χ564-44-4-2-24i−4i22-2-222100-11-1−2i2i23−23−2i32i3−2i2i0000000000i3−i3i−i−330000000000000000000000
χ574-44-4-2-24i−4i22-2-222100-11-1−2i2i−23232i3−2i3−2i2i0000000000−i3i3i−i3−30000000000000000000000
χ584-44-4-2-2−4i4i22-2-222100-11-12i−2i23−232i3−2i32i−2i0000000000−i3i3−ii−330000000000000000000000
χ594-44-4-2-2−4i4i22-2-222100-11-12i−2i−2323−2i32i32i−2i0000000000i3−i3−ii3−30000000000000000000000
χ604-4-444400-44-4-4-44400-4-440000000000000000000000000000000000000000000000
χ614-4-444-200-4-2-4224-20022-200000000000023−23−2323000000000000000000000000000000
χ624-4-444-200-4-2-4224-20022-2000000000000−232323−23000000000000000000000000000000
χ634-4-44-2400242-4-4-2-20022-200000000000000000000000000000000000000−2i32i3000000
χ644-4-44-2400242-4-4-2-20022-2000000000000000000000000000000000000002i3−2i3000000
χ6588-8-8-4-400-4444-442002-2-20000000000000000000000000000000000000000000000
χ668-8-88-4-4004-4444-4200-2-220000000000000000000000000000000000000000000000

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