Finite Group Databasebeta

← Group #10594411

Character table — Group #10594411

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222224444444444444466666666666688888888121212121212121212121212121218182424363636
order1222334466666634466612121212121212122244444412121212121212121212121224446666121212121212441212444
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111111111111-11-1-111-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-1-1-1-1-1-1111111111-111-1-111-1-1-1-111-1-111-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ5111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1111111-1-111-1-1-1-1-111
χ6111111111111111-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111111-1-1
χ7111111111111111-1-111111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111-1-1111111-1-11-1-1
χ8111111111111111-1-111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1111-1-1-1-1-1-111-1-1-1-111-111
χ9111111-1-111111111-1111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-11-1-1-1-111-111-111-1-1-1-11111-1-1-1111-1
χ10111111-1-111111111-1111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-111111-1-111-1-1111-1-1-11
χ11111111-1-111111111-1111-1-111-1-1-1-1-1-11111111111-11-1-1-1-111-1-11-1-1-1-1-111-1-11111-11-1-11
χ12111111-1-111111111-1111-1-111-1-1-1-1-1-111-1-1111111-11-1-1-1-1111-1-11-1-11111-1-1-1-1-1-11-111-1
χ13111111-1-11111111-11111-1-1-1-111-1-111-1-1111111111-111-1-1-1-1-1-1-1111-1-1-1-1-1-111111-1-11-1
χ14111111-1-11111111-11111-1-1-1-111-1-111-1-1-1-11111111-111-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-111-11
χ15111111-1-11111111-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-1-11-11-1-1-1-1111111-1-11-11-11
χ16111111-1-11111111-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-111-1-1-1-1111-1-1-1111111-1-111-11-11-1
χ1722222-1222-12-1-12-122-1-1-1-1-1-1-1-1-12222220022-1-1-1-122-1-1-1-1-1-10200-1-100-1-1-1-1000000000
χ1822222-1222-12-1-12-122-1-1-1-1-1-1-1-1-122-2-2-2-200-2-2111122-1-1-1-1-1-10-20011001111000000000
χ1922222-1222-12-1-12-1-2-2-1-1-1-1-1111122222200-2-21111-2-211-1-1110-200-1-100-1-111000000000
χ2022222-1222-12-1-12-1-2-2-1-1-1-1-1111122-2-2-2-20022-1-1-1-1-2-211-1-1110200110011-1-1000000000
χ2122222-1-2-22-12-1-12-12-2-1-1-111-1-111-2-222-2-200-2-21111-221111-1-10200-1-10011-1-1000000000
χ2222222-1-2-22-12-1-12-12-2-1-1-111-1-111-2-2-2-2220022-1-1-1-1-221111-1-10-2001100-1-111000000000
χ2322222-1-2-22-12-1-12-1-22-1-1-11111-1-1-2-222-2-20022-1-1-1-12-2-1-111110-200-1-1001111000000000
χ2422222-1-2-22-12-1-12-1-22-1-1-11111-1-1-2-2-2-22200-2-211112-2-1-1111102001100-1-1-1-1000000000
χ252222-1222-12-122-1-122-1-1-1222222-1-1000022000000-1-1-1-1-1-1-1-1202200-1-10000-1-100-1-1000
χ262222-1222-12-122-1-122-1-1-1222222-1-10000-2-2000000-1-1-1-1-1-1-1-1-20-2-200110000110011000
χ272222-1222-12-122-1-1-2-2-1-1-122-2-2-2-2-1-10000220000001111-1-11120-2-200-1-10000-1-10011000
χ282222-1222-12-122-1-1-2-2-1-1-122-2-2-2-2-1-10000-2-20000001111-1-111-2022001100001100-1-1000
χ292222-12-2-2-12-122-1-12-2-1-1-1-2-222-2-2110000220000001-11111-1-1-202-200110000-1-1001-1000
χ302222-12-2-2-12-122-1-12-2-1-1-1-2-222-2-2110000-2-20000001-11111-1-120-2200-1-100001100-11000
χ312222-12-2-2-12-122-1-1-22-1-1-1-2-2-2-22211000022000000-11-1-11111-20-2200110000-1-100-11000
χ322222-12-2-2-12-122-1-1-22-1-1-1-2-2-2-222110000-2-2000000-11-1-11111202-200-1-1000011001-1000
χ332-22-22200-22-2-2-22200-2-220000000000002-22i−2i2i2i−2i−2i000000000000000000002-22i−2i00000
χ342-22-22200-22-2-2-22200-2-220000000000002-2−2i2i−2i−2i2i2i000000000000000000002-2−2i2i00000
χ352-22-22200-22-2-2-22200-2-22000000000000-222i−2i2i2i−2i−2i00000000000000000000-22−2i2i00000
χ362-22-22200-22-2-2-22200-2-22000000000000-22−2i2i−2i−2i2i2i00000000000000000000-222i−2i00000
χ372-2-22222i−2i-2-222-2-2200-22-22i−2i00002i−2i2-22i−2i0000000000002i−2i0000002-2002i−2i00000000000
χ382-2-22222i−2i-2-222-2-2200-22-22i−2i00002i−2i-22−2i2i0000000000002i−2i000000-2200−2i2i00000000000
χ392-2-2222−2i2i-2-222-2-2200-22-2−2i2i0000−2i2i2-2−2i2i000000000000−2i2i0000002-200−2i2i00000000000
χ402-2-2222−2i2i-2-222-2-2200-22-2−2i2i0000−2i2i-222i−2i000000000000−2i2i000000-22002i−2i00000000000
χ412-2-222-12i−2i-212-11-2-1001-11−ii3−3−i3i32i−2i2-22i−2i0000−i3i3−i3i300−i3i3−ii3−30000-1100−ii3−3000000000
χ422-2-222-12i−2i-212-11-2-1001-11−ii3−3−i3i32i−2i-22−2i2i0000i3−i3i3−i300−i3i3−ii3−300001-100i−i−33000000000
χ432-2-222-12i−2i-212-11-2-1001-11−ii−33i3−i32i−2i2-22i−2i0000i3−i3i3−i300i3−i3−ii−330000-1100−ii−33000000000
χ442-2-222-12i−2i-212-11-2-1001-11−ii−33i3−i32i−2i-22−2i2i0000−i3i3−i3i300i3−i3−ii−3300001-100i−i3−3000000000
χ452-2-222-1−2i2i-212-11-2-1001-11i−i3−3i3−i3−2i2i2-2−2i2i0000i3−i3i3−i300i3−i3i−i3−30000-1100i−i3−3000000000
χ462-2-222-1−2i2i-212-11-2-1001-11i−i3−3i3−i3−2i2i-222i−2i0000−i3i3−i3i300i3−i3i−i3−300001-100−ii−33000000000
χ472-2-222-1−2i2i-212-11-2-1001-11i−i−33−i3i3−2i2i2-2−2i2i0000−i3i3−i3i300−i3i3i−i−330000-1100i−i−33000000000
χ482-2-222-1−2i2i-212-11-2-1001-11i−i−33−i3i3−2i2i-222i−2i0000i3−i3i3−i300−i3i3i−i−3300001-100−ii3−3000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2000000000000-2-2111111000000000000000000000
χ504444-2-244-2-2-2-2-2-21-4-4111-2-22222-2-200000000000022-1-111-1-1000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-214-411122-2-222220000000000002-2-1-1-1-111000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-21-441112222-2-222000000000000-2211-1-1-1-1000000000000000000000
χ5344-4-444004-4-4-44-44004-4-40000000000000000000000000000000000000000000000000
χ5444-4-44-20042-42-2-4-200-222000000000000000023−23−232300000000000000000000000000000
χ5544-4-44-20042-42-2-4-200-2220000000000000000−232323−2300000000000000000000000000000
χ5644-4-4-2400-2-42-442-200-2220000000000000000000000000000000000−2i32i30000000000000
χ5744-4-4-2400-2-42-442-200-22200000000000000000000000000000000002i3−2i30000000000000
χ584-44-44-200-4-2-4224-20022-2000000000000004i−4i−2i−2i2i2i00000000000000000000000000000
χ594-44-44-200-4-2-4224-20022-200000000000000−4i4i2i2i−2i−2i00000000000000000000000000000
χ604-44-4-2400242-4-4-2-20022-20000000000004-400000000000000000000000000-220000000
χ614-44-4-2400242-4-4-2-20022-2000000000000-44000000000000000000000000002-20000000
χ624-4-44-244i−4i2-4-24-42-2002-224i−4i0000−2i2i0000000000000000−2i2i00000000000000000000000
χ634-4-44-24−4i4i2-4-24-42-2002-22−4i4i00002i−2i00000000000000002i−2i00000000000000000000000
χ644-4-44-2-24i−4i22-2-222100-11-1−2i2i23−23−2i32i3−2i2i00000000000000i3−i3i−i−33000000000000000000000
χ654-4-44-2-24i−4i22-2-222100-11-1−2i2i−23232i3−2i3−2i2i00000000000000−i3i3i−i3−3000000000000000000000
χ664-4-44-2-2−4i4i22-2-222100-11-12i−2i23−232i3−2i32i−2i00000000000000−i3i3−ii−33000000000000000000000
χ674-4-44-2-2−4i4i22-2-222100-11-12i−2i−2323−2i32i32i−2i00000000000000i3−i3−ii3−3000000000000000000000
χ6888-8-8-4-400-4444-442002-2-20000000000000000000000000000000000000000000000000
χ698-88-8-4-4004-4444-4200-2-220000000000000000000000000000000000000000000000000

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