Finite Group Databasebeta

← Group #10594539

Character table — Group #10594539

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222244444444444444666666668888888812121212121212121212121212121212242436363636
order1222334466666634466612121212121212122244666612121212121212122244446612121212121212126124444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-11-11-1-111-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111111-11-111-1-111-1-1-1-111-1-1-1-1
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
χ5111111111111111-1-1111-1-11111-1-111111111-1-1-1-111-1-11-11-1-1-1-1-1-1-1-1-111-1-111-111-1
χ6111111111111111-1-1111-1-11111-1-111111111-1-1-1-111-1-1-11-1-11-111-1-11111-1-1-1-11-1-11
χ7111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-11-1-111-1-1-1-111111-1-11
χ8111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1111111111-1-111-1-1-111-1
χ9111111-1-111111111-1111-1-1-1-1-1-11111-1-11111-11-1-1-1-11111-11-1-111-1-1-1-1-1-1111-1-1-111
χ10111111-1-111111111-1111-1-1-1-1-1-11111-1-11111-11-1-1-1-111-1-1111-1-1-1-1-111-1-111-1111-1-1
χ11111111-1-111111111-1111-1-1-1-1-1-111-1-111-1-1-1-1-11-1-1-1-11111-1-1-111111-1-111-1-11-111-1-1
χ12111111-1-111111111-1111-1-1-1-1-1-111-1-111-1-1-1-1-11-1-1-1-111-1-11-111-1-1111111-1-1-11-1-111
χ13111111-1-11111111-1111111-1-1-1-1-1-111-1-111111-111-1-1-1-11-1-1-111-1-11111-1-1-1-11-11-11-1
χ14111111-1-11111111-1111111-1-1-1-1-1-111-1-111111-111-1-1-1-1-111-1-111111-1-1-1-1-1-1-11-11-11
χ15111111-1-11111111-1111111-1-1-1-1-1-1-1-111-1-1-1-11-111-1-1-1-11-1-111-1-1-1-1-11111111-1-11-11
χ16111111-1-11111111-1111111-1-1-1-1-1-1-1-111-1-1-1-11-111-1-1-1-1-1111-1-111-1-1-1-11111-111-11-1
χ1722222-1222-1-12-12-122-1-1-122-1-1222200000000-1-1-1-1-1-1-1-1222020-1-100-1-10000-1-10000
χ1822222-1222-1-12-12-122-1-1-122-1-1222200000000-1-1-1-1-1-1-1-1-2-2-20-201100110000110000
χ1922222-1222-1-12-12-1-2-2-1-1-1-2-2-1-122-2-2000000001111-1-1112-220-201100110000-1-10000
χ2022222-1222-1-12-12-1-2-2-1-1-1-2-2-1-122-2-2000000001111-1-111-22-2020-1-100-1-10000110000
χ2122222-1-2-22-1-12-12-12-2-1-1-1-2-211-2-222000000001-11111-1-122-20-20-1-100110000-110000
χ2222222-1-2-22-1-12-12-12-2-1-1-1-2-211-2-222000000001-11111-1-1-2-220201100-1-100001-10000
χ2322222-1-2-22-1-12-12-1-22-1-1-12211-2-2-2-200000000-11-1-111112-2-20201100-1-10000-110000
χ2422222-1-2-22-1-12-12-1-22-1-1-12211-2-2-2-200000000-11-1-11111-2220-20-1-1001100001-10000
χ252222-1222-122-12-1-122-1-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-100020200-1-100-1-1-1-1000000
χ262222-1222-122-12-1-122-1-1-1-1-122-1-1-1-1-2-2-2-2111122-1-1-1-1-1-1000-20-20011001111000000
χ272222-1222-122-12-1-1-2-2-1-1-11122-1-1112222-1-1-1-1-2-211-1-111000-20-2001100-1-111000000
χ282222-1222-122-12-1-1-2-2-1-1-11122-1-111-2-2-2-21111-2-211-1-11100020200-1-10011-1-1000000
χ292222-12-2-2-122-12-1-12-2-1-1-111-2-211-1-122-2-2-1-1-1-1-221111-1-100020-200110011-1-1000000
χ302222-12-2-2-122-12-1-12-2-1-1-111-2-211-1-1-2-2221111-221111-1-1000-20200-1-100-1-111000000
χ312222-12-2-2-122-12-1-1-22-1-1-1-1-1-2-2111122-2-2-1-1-1-12-2-1-11111000-20200-1-1001111000000
χ322222-12-2-2-122-12-1-1-22-1-1-1-1-1-2-21111-2-22211112-2-1-1111100020-2001100-1-1-1-1000000
χ332-2-22222i−2i-22-22-2-2200-22-2002i−2i2i−2i002-22i−2i22-2-200002i−2i000000000000002i−2i00000000
χ342-2-22222i−2i-22-22-2-2200-22-2002i−2i2i−2i00-22−2i2i-2-22200002i−2i00000000000000−2i2i00000000
χ352-2-2222−2i2i-22-22-2-2200-22-200−2i2i−2i2i002-2−2i2i22-2-20000−2i2i00000000000000−2i2i00000000
χ362-2-2222−2i2i-22-22-2-2200-22-200−2i2i−2i2i00-222i−2i-2-2220000−2i2i000000000000002i−2i00000000
χ372-2-22-122i−2i12-2-1-21-1001-11−i3i32i−2i−ii3−32-22i−2i-1-11100−i3i3−ii3−300000000−i3i300−ii3−3000000
χ382-2-22-122i−2i12-2-1-21-1001-11−i3i32i−2i−ii3−3-22−2i2i11-1-100−i3i3−ii3−300000000i3−i300i−i−33000000
χ392-2-22-122i−2i12-2-1-21-1001-11i3−i32i−2i−ii−332-22i−2i-1-11100i3−i3−ii−3300000000i3−i300−ii−33000000
χ402-2-22-122i−2i12-2-1-21-1001-11i3−i32i−2i−ii−33-22−2i2i11-1-100i3−i3−ii−3300000000−i3i300i−i3−3000000
χ412-2-22-12−2i2i12-2-1-21-1001-11−i3i3−2i2ii−i−332-2−2i2i-1-11100−i3i3i−i−3300000000−i3i300i−i−33000000
χ422-2-22-12−2i2i12-2-1-21-1001-11−i3i3−2i2ii−i−33-222i−2i11-1-100−i3i3i−i−3300000000i3−i300−ii3−3000000
χ432-2-22-12−2i2i12-2-1-21-1001-11i3−i3−2i2ii−i3−32-2−2i2i-1-11100i3−i3i−i3−300000000i3−i300i−i3−3000000
χ442-2-22-12−2i2i12-2-1-21-1001-11i3−i3−2i2ii−i3−3-222i−2i11-1-100i3−i3i−i3−300000000−i3i300−ii−33000000
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
χ4944-4-444004-44-4-4-44004-4-40000000000000000000000000000000000000000000000
χ5044-4-44-20042-2-42-4-200-222000000000000000000000000000000000023−230000000000
χ5144-4-44-20042-2-42-4-200-2220000000000000000000000000000000000−23230000000000
χ5244-4-4-2400-2-442-42-200-222000000000000−2i32i3−2i32i3000000000000000000000000000000
χ5344-4-4-2400-2-442-42-200-2220000000000002i3−2i32i3−2i3000000000000000000000000000000
χ544-44-44400-4-4-4-444400-4-440000000000000000000000000000000000000000000000
χ554-44-44-200-422-4-24-20022-2000000000000000000000000000000−2i32i300000000000000
χ564-44-44-200-422-4-24-20022-20000000000000000000000000000002i3−2i300000000000000
χ574-44-4-24002-4-424-2-20022-2000000000000−2i32i32i3−2i3000000000000000000000000000000
χ584-44-4-24002-4-424-2-20022-20000000000002i3−2i3−2i32i3000000000000000000000000000000
χ594-4-444-24i−4i-4-2242-4-2002-2200−2i2i4i−4i00000000000000−2i2i000000000000000000000000
χ604-4-444-2−4i4i-4-2242-4-2002-22002i−2i−4i4i000000000000002i−2i000000000000000000000000
χ614-4-44-2-24i−4i2-22-222100-11-1−2i32i3−2i2i−2i2i23−230000000000i3−i3i−i−330000000000000000000000
χ624-4-44-2-24i−4i2-22-222100-11-12i3−2i3−2i2i−2i2i−23230000000000−i3i3i−i3−30000000000000000000000
χ634-4-44-2-2−4i4i2-22-222100-11-1−2i32i32i−2i2i−2i−23230000000000i3−i3−ii3−30000000000000000000000
χ644-4-44-2-2−4i4i2-22-222100-11-12i3−2i32i−2i2i−2i23−230000000000−i3i3−ii−330000000000000000000000
χ6588-8-8-4-400-44-44442002-2-20000000000000000000000000000000000000000000000
χ668-88-8-4-4004444-4-4200-2-220000000000000000000000000000000000000000000000

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