Finite Group Databasebeta

← Group #10594331

Character table — Group #10594331

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222224444444444444466666666666688888888121212121212121212121212121218182424363636
order1222334466666634466612121212121212122244444466661212121212121212444412121212121212121212441212244
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111111111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-111111-1-111-1-1-1-1-1-111-1-1-1
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
χ5111111111111111-1-1111-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-11-1-1111-1-11111-1-111-1-1-11-1
χ6111111111111111-1-1111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1-1-1-1-1-111-1-1-1-1111-11
χ7111111111111111-1-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-11111111-1-111-1-1-1-11-11
χ8111111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-111-1-1-1-1111111-11-1
χ9111111-1-111111111-1111-1-1-1-1-1-1111111-1-11111111-1-1-1-1-111-1-11-1-1-1-1-111-1-11111-11-1-11
χ10111111-1-111111111-1111-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-1-111-11-1111-1-1-1-1-1-111-1-11-111-1
χ11111111-1-111111111-1111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1111-11-1-1-1111111-1-1-1-1-1111-1
χ12111111-1-111111111-1111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-11111-111111-1-111-1-1111-1-1-11
χ13111111-1-11111111-1111111-1-1-1-1-1-111-1-111111111-1111-1-1-1-1-11-1-1-1-11111-1-1-1-1111-11-1-1
χ14111111-1-11111111-1111111-1-1-1-1-1-111-1-111-1-11111-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-111
χ15111111-1-11111111-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1111111-1-11-1-111
χ16111111-1-11111111-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-11-11111-1-1-1-1111111-111-1-1
χ1722222-122-12-122-1-122-1-1-1-1-122-1-1-1-122222200-1-1-1-122-1-1-1-1-1-1200000-1-100-1-1-1-10000000
χ1822222-122-12-122-1-122-1-1-1-1-122-1-1-1-1-2-2-2-2-2-200111122-1-1-1-1-1-1-200000110011110000000
χ1922222-122-12-122-1-1-2-2-1-1-11122-1-11122-2-2-2-200-1-1-1-1-2-211-1-1112000001100-1-1110000000
χ2022222-122-12-122-1-1-2-2-1-1-11122-1-111-2-22222001111-2-211-1-111-200000-1-10011-1-10000000
χ2122222-1-2-2-12-122-1-12-2-1-1-111-2-211-1-12222-2-200-1-1-1-12-21111-1-1-200000110011-1-10000000
χ2222222-1-2-2-12-122-1-12-2-1-1-111-2-211-1-1-2-2-2-2220011112-21111-1-1200000-1-100-1-1110000000
χ2322222-1-2-2-12-122-1-1-22-1-1-1-1-1-2-2111122-2-22200-1-1-1-1-22-1-11111-200000-1-10011110000000
χ2422222-1-2-2-12-122-1-1-22-1-1-1-1-1-2-21111-2-222-2-2001111-22-1-111112000001100-1-1-1-10000000
χ252222-12222-12-1-12-122-1-1-122-1-12222000000220000-1-1-1-1-1-1-1-10222-1-100-1-1000000-1-1000
χ262222-12222-12-1-12-122-1-1-122-1-12222000000-2-20000-1-1-1-1-1-1-1-10-2-2-211001100000011000
χ272222-12222-12-1-12-1-2-2-1-1-1-2-2-1-122-2-20000002200001111-1-1110-2-22-1-100-1-100000011000
χ282222-12222-12-1-12-1-2-2-1-1-1-2-2-1-122-2-2000000-2-200001111-1-111022-2110011000000-1-1000
χ292222-12-2-22-12-1-12-12-2-1-1-1-2-211-2-222000000220000-111111-1-10-22-21100-1-10000001-1000
χ302222-12-2-22-12-1-12-12-2-1-1-1-2-211-2-222000000-2-20000-111111-1-102-22-1-10011000000-11000
χ312222-12-2-22-12-1-12-1-22-1-1-12211-2-2-2-20000002200001-1-1-1111102-2-21100-1-1000000-11000
χ322222-12-2-22-12-1-12-1-22-1-1-12211-2-2-2-2000000-2-200001-1-1-111110-222-1-100110000001-1000
χ3322-2-22200-2-2-22-22200-2-22000000002-200002i−2i22-2-200000000000000002i−2i00002i−2i00000
χ3422-2-22200-2-2-22-22200-2-22000000002-20000−2i2i22-2-20000000000000000−2i2i0000−2i2i00000
χ3522-2-22200-2-2-22-22200-2-2200000000-2200002i−2i-2-22200000000000000002i−2i0000−2i2i00000
χ3622-2-22200-2-2-22-22200-2-2200000000-220000−2i2i-2-2220000000000000000−2i2i00002i−2i00000
χ372-22-2222i−2i-2-22-22-2200-22-2002i−2i2i−2i00002i−2i2-200000000002i−2i000000002-200002i−2i0000000
χ382-22-2222i−2i-2-22-22-2200-22-2002i−2i2i−2i0000−2i2i-2200000000002i−2i00000000-220000−2i2i0000000
χ392-22-222−2i2i-2-22-22-2200-22-200−2i2i−2i2i00002i−2i-220000000000−2i2i00000000-2200002i−2i0000000
χ402-22-222−2i2i-2-22-22-2200-22-200−2i2i−2i2i0000−2i2i2-20000000000−2i2i000000002-20000−2i2i0000000
χ412-22-22-12i−2i1-2-1-221-1001-11−i3i32i−2i−ii3−3002i−2i2-200−i3i3−i3i300−i3i3−ii3−3000000-11003−3−ii0000000
χ422-22-22-12i−2i1-2-1-221-1001-11−i3i32i−2i−ii3−300−2i2i-2200i3−i3i3−i300−i3i3−ii3−30000001-100−33i−i0000000
χ432-22-22-12i−2i1-2-1-221-1001-11i3−i32i−2i−ii−33002i−2i2-200i3−i3i3−i300i3−i3−ii−33000000-1100−33−ii0000000
χ442-22-22-12i−2i1-2-1-221-1001-11i3−i32i−2i−ii−3300−2i2i-2200−i3i3−i3i300i3−i3−ii−330000001-1003−3i−i0000000
χ452-22-22-1−2i2i1-2-1-221-1001-11−i3i3−2i2ii−i−33002i−2i-2200i3−i3i3−i300−i3i3i−i−330000001-1003−3−ii0000000
χ462-22-22-1−2i2i1-2-1-221-1001-11−i3i3−2i2ii−i−3300−2i2i2-200−i3i3−i3i300−i3i3i−i−33000000-1100−33i−i0000000
χ472-22-22-1−2i2i1-2-1-221-1001-11i3−i3−2i2ii−i3−3002i−2i-2200−i3i3−i3i300i3−i3i−i3−30000001-100−33−ii0000000
χ482-22-22-1−2i2i1-2-1-221-1001-11i3−i3−2i2ii−i3−300−2i2i2-200i3−i3i3−i300i3−i3i−i3−3000000-11003−3i−i0000000
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
χ514444-2-2-4-4-2-2-2-2-2-214-4111222222-2-2000000000000-22-1-1-1-111000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-21-44111-2-22222220000000000002-211-1-1-1-1000000000000000000000
χ5344-4-44-2002-424-4-2-20022-2000000004-4000000-2-22200000000000000000000000000000
χ5444-4-44-2002-424-4-2-20022-200000000-4400000022-2-200000000000000000000000000000
χ5544-4-4-2400-42-4-224-20022-2000000000000004i−4i00000000000000000000−2i2i00000000000
χ5644-4-4-2400-42-4-224-20022-200000000000000−4i4i000000000000000000002i−2i00000000000
χ574-44-4-244i−4i-4242-2-4-2002-2200−2i2i4i−4i000000000000000000−2i2i00000000000000000000000
χ584-44-4-24−4i4i-4242-2-4-2002-22002i−2i−4i4i0000000000000000002i−2i00000000000000000000000
χ594-44-4-2-24i−4i22-22-22100-11-1−2i32i3−2i2i−2i2i23−2300000000000000i3−i3i−i−33000000000000000000000
χ604-44-4-2-24i−4i22-22-22100-11-12i3−2i3−2i2i−2i2i−232300000000000000−i3i3i−i3−3000000000000000000000
χ614-44-4-2-2−4i4i22-22-22100-11-1−2i32i32i−2i2i−2i−232300000000000000i3−i3−ii3−3000000000000000000000
χ624-44-4-2-2−4i4i22-22-22100-11-12i3−2i32i−2i2i−2i23−2300000000000000−i3i3−ii−33000000000000000000000
χ634-4-44440044-4-4-4-44004-4-40000000000000000000000000000000000000000000000000
χ644-4-444-200-242-4-42-200-2220000000000000000−2i32i32i3−2i300000000000000000000000000000
χ654-4-444-200-242-4-42-200-22200000000000000002i3−2i3−2i32i300000000000000000000000000000
χ664-4-44-24004-2-422-4-200-22200000000000000000000000000000000−2i32i3000000000000000
χ674-4-44-24004-2-422-4-200-222000000000000000000000000000000002i3−2i3000000000000000
χ6888-8-8-4-400444-44-4200-2-220000000000000000000000000000000000000000000000000
χ698-8-88-4-400-4-444442002-2-20000000000000000000000000000000000000000000000000

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