Finite Group Databasebeta

← Group #10594413

Character table — Group #10594413

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222224444444444444466666666666688888888121212121212121212121212121218182424363636
order1222334466666634466612121212121212122244444412121212121212121212121222246666661212121244612444
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111111111111-1-1-11111-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1111-1-1-1-111-1-111-1-111-1-1-1
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
χ5111111111111111-1-1111-1-11111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-11-1-111-1-1111111-1-1-1-111-1
χ6111111111111111-1-1111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-11
χ7111111111111111-1-1111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-11
χ8111111111111111-1-1111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11-111-1-111-1-1-1-1-1-1-1-11111-1
χ9111111-1-111111111-1111-1-1-1-1-1-11111-1-111111111-11-1-1-1-111-1-1-1111-1-1-1-1-1-11111-111-1-1
χ10111111-1-111111111-1111-1-1-1-1-1-11111-1-111-1-11111-11-1-1-1-111-111-111-1-111-1-1-1-1-1-11-1-111
χ11111111-1-111111111-1111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-11-1-1-1-1111-1-11-1-111-1-11111-1-1-11-111
χ12111111-1-111111111-1111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1111111-1-1111-11-1-1
χ13111111-1-11111111-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11-111-1-1-1-11-11-11111-1-1-1-111-1-11-11-11
χ14111111-1-11111111-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-11111111-1-1-1-111-11-11-1
χ15111111-1-11111111-1111111-1-1-1-1-1-1-1-111111111111-111-1-1-1-1-1-11-1-1-1-1-1-1-11111111-1-11-1
χ16111111-1-11111111-1111111-1-1-1-1-1-1-1-11111-1-111111-111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-111-11
χ1722222-1222-12-12-1-122-1-1-12222-1-122000000220000-1-1-1-1-1-1-1-102220000-1-100-1-100-1-1000
χ1822222-1222-12-12-1-122-1-1-12222-1-122000000-2-20000-1-1-1-1-1-1-1-10-2-2-200001100110011000
χ1922222-1222-12-12-1-1-2-2-1-1-1-2-222-1-1-2-20000002200001111-1-11102-2-20000-1-100-1-10011000
χ2022222-1222-12-12-1-1-2-2-1-1-1-2-222-1-1-2-2000000-2-200001111-1-1110-222000011001100-1-1000
χ2122222-1-2-22-12-12-1-12-2-1-1-1-2-2-2-211220000002200001-11111-1-10-2-2200001100-1-1001-1000
χ2222222-1-2-22-12-12-1-12-2-1-1-1-2-2-2-21122000000-2-200001-11111-1-1022-20000-1-1001100-11000
χ2322222-1-2-22-12-12-1-1-22-1-1-122-2-211-2-2000000220000-11-1-111110-22-200001100-1-100-11000
χ2422222-1-2-22-12-12-1-1-22-1-1-122-2-211-2-2000000-2-20000-11-1-1111102-220000-1-10011001-1000
χ252222-1222-12-12-12-122-1-1-1-1-1-1-122-1-122222200-1-1-1-122-1-1-1-1-1-12000-1-1-1-100-1-1000000000
χ262222-1222-12-12-12-122-1-1-1-1-1-1-122-1-1-2-2-2-2-2-200111122-1-1-1-1-1-1-200011110011000000000
χ272222-1222-12-12-12-1-2-2-1-1-111-1-122112222-2-2001111-2-211-1-111-2000-1-11100-1-1000000000
χ282222-1222-12-12-12-1-2-2-1-1-111-1-12211-2-2-2-22200-1-1-1-1-2-211-1-111200011-1-10011000000000
χ292222-12-2-2-12-12-12-12-2-1-1-11111-2-2-1-122-2-22200-1-1-1-1-221111-1-1-2000-1-1110011000000000
χ302222-12-2-2-12-12-12-12-2-1-1-11111-2-2-1-1-2-222-2-2001111-221111-1-1200011-1-100-1-1000000000
χ312222-12-2-2-12-12-12-1-22-1-1-1-1-111-2-21122-2-2-2-20011112-2-1-111112000-1-1-1-10011000000000
χ322222-12-2-2-12-12-12-1-22-1-1-1-1-111-2-211-2-2222200-1-1-1-12-2-1-11111-2000111100-1-1000000000
χ3322-2-22200-2-222-2-22002-2-20000000000002i−2i2i−2i2i2i−2i−2i000000000000000000002i−2i2-200000
χ3422-2-22200-2-222-2-22002-2-20000000000002i−2i−2i2i2i2i−2i−2i00000000000000000000−2i2i-2200000
χ3522-2-22200-2-222-2-22002-2-2000000000000−2i2i2i−2i−2i−2i2i2i000000000000000000002i−2i-2200000
χ3622-2-22200-2-222-2-22002-2-2000000000000−2i2i−2i2i−2i−2i2i2i00000000000000000000−2i2i2-200000
χ372-2-22222i−2i22-2-2-2-2200-22-2002i−2i2i−2i002-22i−2i0000000000002i−2i0000002-200002i−2i000000000
χ382-2-22222i−2i22-2-2-2-2200-22-2002i−2i2i−2i00-22−2i2i0000000000002i−2i000000-220000−2i2i000000000
χ392-2-2222−2i2i22-2-2-2-2200-22-200−2i2i−2i2i002-2−2i2i000000000000−2i2i0000002-20000−2i2i000000000
χ402-2-2222−2i2i22-2-2-2-2200-22-200−2i2i−2i2i00-222i−2i000000000000−2i2i000000-2200002i−2i000000000
χ412-2-22-122i−2i-121-21-2-1001-11−i3i3−ii2i−2i3−32-22i−2i00003−33−300−i3i3−ii3−30000-11−i3i300−ii000000000
χ422-2-22-122i−2i-121-21-2-1001-11−i3i3−ii2i−2i3−3-22−2i2i0000−33−3300−i3i3−ii3−300001-1i3−i300i−i000000000
χ432-2-22-122i−2i-121-21-2-1001-11i3−i3−ii2i−2i−332-22i−2i0000−33−3300i3−i3−ii−330000-11i3−i300−ii000000000
χ442-2-22-122i−2i-121-21-2-1001-11i3−i3−ii2i−2i−33-22−2i2i00003−33−300i3−i3−ii−3300001-1−i3i300i−i000000000
χ452-2-22-12−2i2i-121-21-2-1001-11−i3i3i−i−2i2i−332-2−2i2i0000−33−3300−i3i3i−i−330000-11−i3i300i−i000000000
χ462-2-22-12−2i2i-121-21-2-1001-11−i3i3i−i−2i2i−33-222i−2i00003−33−300−i3i3i−i−3300001-1i3−i300−ii000000000
χ472-2-22-12−2i2i-121-21-2-1001-11i3−i3i−i−2i2i3−32-2−2i2i00003−33−300i3−i3i−i3−30000-11i3−i300i−i000000000
χ482-2-22-12−2i2i-121-21-2-1001-11i3−i3i−i−2i2i3−3-222i−2i0000−33−3300i3−i3i−i3−300001-1−i3i300−ii000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2000000000000-2-2111111000000000000000000000
χ504444-2-244-2-2-2-2-2-21-4-411122-2-2-2-22200000000000022-1-111-1-1000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-214-4111222222-2-20000000000002-2-1-1-1-111000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-21-44111-2-2222222000000000000-2211-1-1-1-1000000000000000000000
χ5344-4-44-200-424-2-42-200-222000000000000004i−4i000000000000000000000000−2i2i0000000
χ5444-4-44-200-424-2-42-200-22200000000000000−4i4i0000000000000000000000002i−2i0000000
χ5544-4-4-24002-4-242-4-200-2220000000000004i−4i00−2i−2i2i2i00000000000000000000000000000
χ5644-4-4-24002-4-242-4-200-222000000000000−4i4i002i2i−2i−2i00000000000000000000000000000
χ574-44-44400-4-4-4-444400-4-440000000000000000000000000000000000000000000000000
χ584-44-44-200-42-424-2-20022-2000000000000000000000000000000000000−2i32i300000000000
χ594-44-44-200-42-424-2-20022-20000000000000000000000000000000000002i3−2i300000000000
χ604-44-4-24002-42-4-24-20022-20000000000000000−2i32i32i3−2i300000000000000000000000000000
χ614-44-4-24002-42-4-24-20022-200000000000000002i3−2i3−2i32i300000000000000000000000000000
χ624-4-444-24i−4i4-2-42-42-2002-22004i−4i−2i2i000000000000000000−2i2i00000000000000000000000
χ634-4-444-2−4i4i4-2-42-42-2002-2200−4i4i2i−2i0000000000000000002i−2i00000000000000000000000
χ644-4-44-2-24i−4i-2-22222100-11-1−2i32i3−2i2i−2i2i23−2300000000000000i3−i3i−i−33000000000000000000000
χ654-4-44-2-24i−4i-2-22222100-11-12i3−2i3−2i2i−2i2i−232300000000000000−i3i3i−i3−3000000000000000000000
χ664-4-44-2-2−4i4i-2-22222100-11-1−2i32i32i−2i2i−2i−232300000000000000i3−i3−ii3−3000000000000000000000
χ674-4-44-2-2−4i4i-2-22222100-11-12i3−2i32i−2i2i−2i23−2300000000000000−i3i3−ii−33000000000000000000000
χ6888-8-8-4-40044-4-4442002-2-20000000000000000000000000000000000000000000000000
χ698-88-8-4-4004444-4-4200-2-220000000000000000000000000000000000000000000000000

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