Finite Group Databasebeta

← Group #10594549

Character table — Group #10594549

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222224444444444444466666666666688888888121212121212121212121212121218182424363636
order12223344666666344666121212121212121244444444121212121212121212121212224466121212121212121244612224
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111111111-1-11-1-1-111-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111-1-1-1-11111111111-1111-1-111-1-1-1-1-1-111-1-1-1
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
χ5111111111111111-1-11111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11-1-1-111111111-1-1-1-1-1-11-11
χ6111111111111111-1-11111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-11-11-1-111-1-111-1-11111-11-1
χ7111111111111111-1-11111111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-11-11-111-1-111-1-11111-1-1-11-1
χ8111111111111111-1-11111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1111-1-1-1-1-1-1-1-111-1-1111-11
χ9111111-1-111111111-1111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-111-1-1-1-1-111-1-1-1-1-1111111-1-11-1-111
χ10111111-1-111111111-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11-11111-1-1-1-1111111-111-1-1
χ11111111-1-111111111-1111-1-1-1-1-1-111-1-111111111111-111-1-1-1-1-11-1-1-1-11111-1-1-1-1111-11-1-1
χ12111111-1-111111111-1111-1-1-1-1-1-111-1-11111-1-111111-111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-11-111
χ13111111-1-11111111-11111-1-1-1-111-1-11111-1-1111111-11-1-1-1-111-1-1-11-1-1-1-11111-1-111-11-1-11
χ14111111-1-11111111-11111-1-1-1-111-1-11111-1-1-1-11111-11-1-1-1-11111-1-111-1-1-1-111-1-1-1-11-111-1
χ15111111-1-11111111-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-111-1-11111-1-111-1-1-1111-1
χ16111111-1-11111111-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1-1-111111-11111-1-1-1-111111-1-1-11
χ1722222-122-12-12-12-122-1-1-122-1-12222000000220000-1-1-1-1-1-1-1-12202-1-100-1-1000000-1-1000
χ1822222-122-12-12-12-122-1-1-122-1-12222000000-2-20000-1-1-1-1-1-1-1-1-2-20-211001100000011000
χ1922222-122-12-12-12-1-2-2-1-1-122-1-1-2-2-2-20000002200001111-1-1112-20-2-1-100-1-100000011000
χ2022222-122-12-12-12-1-2-2-1-1-122-1-1-2-2-2-2000000-2-200001111-1-111-2202110011000000-1-1000
χ2122222-1-2-2-12-12-12-12-2-1-1-1-2-211-2-222000000220000-11-1-11111-220-21100-1-1000000-11000
χ2222222-1-2-2-12-12-12-12-2-1-1-1-2-211-2-222000000-2-20000-11-1-111112-202-1-100110000001-1000
χ2322222-1-2-2-12-12-12-1-22-1-1-1-2-21122-2-20000002200001-11111-1-1-2-2021100-1-10000001-1000
χ2422222-1-2-2-12-12-12-1-22-1-1-1-2-21122-2-2000000-2-200001-11111-1-1220-2-1-10011000000-11000
χ252222-12222-12-12-1-122-1-1-1-1-122-1-1-1-122222200-1-1-1-122-1-1-1-1-1-1002000-1-100-1-1-1-10000000
χ262222-12222-12-12-1-122-1-1-1-1-122-1-1-1-1-2-2-2-2-2-200111122-1-1-1-1-1-100-2000110011110000000
χ272222-12222-12-12-1-1-2-2-1-1-1-1-122111122-2-222001111-2-211-1-11100-2000-1-100-1-1110000000
χ282222-12222-12-12-1-1-2-2-1-1-1-1-1221111-2-222-2-200-1-1-1-1-2-211-1-111002000110011-1-10000000
χ292222-12-2-22-12-12-1-12-2-1-1-111-2-211-1-122-2-2-2-20011112-2-1-111110020001100-1-1-1-10000000
χ302222-12-2-22-12-12-1-12-2-1-1-111-2-211-1-1-2-2222200-1-1-1-12-2-1-1111100-2000-1-10011110000000
χ312222-12-2-22-12-12-1-1-22-1-1-111-2-2-1-1112222-2-200-1-1-1-1-221111-1-100-20001100-1-1110000000
χ322222-12-2-22-12-12-1-1-22-1-1-111-2-2-1-111-2-2-2-222001111-221111-1-1002000-1-10011-1-10000000
χ3322-2-2222i−2i2-2-2-2-22200-22-22i−2i2i−2i00002-2002i−2i00000000002i−2i000000002i−2i002-2000000000
χ3422-2-2222i−2i2-2-2-2-22200-22-22i−2i2i−2i0000-2200−2i2i00000000002i−2i00000000−2i2i00-22000000000
χ3522-2-222−2i2i2-2-2-2-22200-22-2−2i2i−2i2i00002-200−2i2i0000000000−2i2i00000000−2i2i002-2000000000
χ3622-2-222−2i2i2-2-2-2-22200-22-2−2i2i−2i2i0000-22002i−2i0000000000−2i2i000000002i−2i00-22000000000
χ3722-2-2-122i−2i21-21-2-1-1001-11−ii2i−2i3−3−i3i32-2002i−2i0033−3−300−i3i3−ii3−3000000−ii00-11−i3i30000000
χ3822-2-2-122i−2i21-21-2-1-1001-11−ii2i−2i3−3−i3i3-2200−2i2i00−3−33300−i3i3−ii3−3000000i−i001-1i3−i30000000
χ3922-2-2-122i−2i21-21-2-1-1001-11−ii2i−2i−33i3−i32-2002i−2i00−3−33300i3−i3−ii−33000000−ii00-11i3−i30000000
χ4022-2-2-122i−2i21-21-2-1-1001-11−ii2i−2i−33i3−i3-2200−2i2i0033−3−300i3−i3−ii−33000000i−i001-1−i3i30000000
χ4122-2-2-12−2i2i21-21-2-1-1001-11i−i−2i2i3−3i3−i32-200−2i2i0033−3−300i3−i3i−i3−3000000i−i00-11i3−i30000000
χ4222-2-2-12−2i2i21-21-2-1-1001-11i−i−2i2i3−3i3−i3-22002i−2i00−3−33300i3−i3i−i3−3000000−ii001-1−i3i30000000
χ4322-2-2-12−2i2i21-21-2-1-1001-11i−i−2i2i−33−i3i32-200−2i2i00−3−33300−i3i3i−i−33000000i−i00-11−i3i30000000
χ4422-2-2-12−2i2i21-21-2-1-1001-11i−i−2i2i−33−i3i3-22002i−2i0033−3−300−i3i3i−i−33000000−ii001-1i3−i30000000
χ452-22-22200-222-2-2-22002-2-200000000002-2002i−2i2-22-200000000000000002i−2i00002i−2i00000
χ462-22-22200-222-2-2-22002-2-200000000002-200−2i2i2-22-20000000000000000−2i2i0000−2i2i00000
χ472-22-22200-222-2-2-22002-2-20000000000-22002i−2i-22-2200000000000000002i−2i0000−2i2i00000
χ482-22-22200-222-2-2-22002-2-20000000000-2200−2i2i-22-220000000000000000−2i2i00002i−2i00000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2000000000000-2-2111111000000000000000000000
χ504444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2222200000000000022-1-111-1-1000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-214-4111222222-2-2000000000000-2211-1-1-1-1000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-21-441112222-2-2220000000000002-2-1-1-1-111000000000000000000000
χ5344-4-44-24i−4i-2-42-424-2002-224i−4i−2i2i00000000000000000000−2i2i00000000000000000000000
χ5444-4-44-2−4i4i-2-42-424-2002-22−4i4i2i−2i000000000000000000002i−2i00000000000000000000000
χ5544-4-4-2-24i−4i-22222-2100-11-1−2i2i−2i2i23−23−2i32i300000000000000i3−i3i−i−33000000000000000000000
χ5644-4-4-2-24i−4i-22222-2100-11-1−2i2i−2i2i−23232i3−2i300000000000000−i3i3i−i3−3000000000000000000000
χ5744-4-4-2-2−4i4i-22222-2100-11-12i−2i2i−2i23−232i3−2i300000000000000−i3i3−ii−33000000000000000000000
χ5844-4-4-2-2−4i4i-22222-2100-11-12i−2i2i−2i−2323−2i32i300000000000000i3−i3−ii3−3000000000000000000000
χ594-44-44-20024-2-42-4-200-222000000000000004i−4i00000000000000000000−2i2i00000000000
χ604-44-44-20024-2-42-4-200-22200000000000000−4i4i000000000000000000002i−2i00000000000
χ614-44-4-2400-4-242-42-200-22200000000004-40000-22-2200000000000000000000000000000
χ624-44-4-2400-4-242-42-200-2220000000000-4400002-22-200000000000000000000000000000
χ634-4-444400-4-4-444-4400-4-440000000000000000000000000000000000000000000000000
χ644-4-444-2002-424-2-4-20022-200000000000000000000000000000000−2i32i3000000000000000
χ654-4-444-2002-424-2-4-20022-2000000000000000000000000000000002i3−2i3000000000000000
χ664-4-44-2400-42-4-242-20022-2000000000000000023−23−232300000000000000000000000000000
χ674-4-44-2400-42-4-242-20022-20000000000000000−232323−2300000000000000000000000000000
χ688-88-8-4-4004-4-44442002-2-20000000000000000000000000000000000000000000000000
χ698-8-88-4-400444-4-44200-2-220000000000000000000000000000000000000000000000000

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