Finite Group Databasebeta

← Group #10594542

Character table — Group #10594542

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222244444444444444666666668888888812121212121212121212121212121212242436363636
order1222334466666634466612121212121212122244666612121212121212124444441212121212121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-11-1-1-111-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1111-1111-1-111-1-1-1-111-1-1-1-1
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
χ5111111111111111-1-1111-1-11111-1-111111111-1-1-1-111-1-1-11-11-1-111-1-11111-1-1-1-11-1-11
χ6111111111111111-1-1111-1-11111-1-111111111-1-1-1-111-1-1-1-11-1-11-1-1-1-1-1-111-1-111-111-1
χ7111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1111111-1-111-1-1-111-1
χ8111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-111-1-111-1-1-1-111111-1-11
χ9111111-1-111111111-111111-1-1-1-1-1-111-1-11111-1111-1-1-1-111-1-1-11-1-11111-1-1-1-11-11-11-1
χ10111111-1-111111111-111111-1-1-1-1-1-111-1-11111-1111-1-1-1-11-111-1-11111-1-1-1-1-1-1-11-11-11
χ11111111-1-111111111-111111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-11-1-111-1-1-1-11111111-1-11-11
χ12111111-1-111111111-111111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1111-111-1-1-1-11111-111-11-1
χ13111111-1-11111111-11111-1-1-1-1-1-11111-1-111111-1-1-1-1-111-111-11-1-1-1-1-111-1-111-1111-1-1
χ14111111-1-11111111-11111-1-1-1-1-1-11111-1-111111-1-1-1-1-111-1-1-111111-1-1-1-1-1-1111-1-1-111
χ15111111-1-11111111-11111-1-1-1-1-1-111-1-111-1-1-1-11-1-1-1-1-111111-1-1-1-1-1111111-1-1-11-1-111
χ16111111-1-11111111-11111-1-1-1-1-1-111-1-111-1-1-1-11-1-1-1-1-1111-1-11-111111-1-111-1-11-111-1-1
χ1722222-122-12-122-1-122-1-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-120002000-1-100-1-1-1-1000000
χ1822222-122-12-122-1-122-1-1-1-1-122-1-1-1-1-2-2-2-2111122-1-1-1-1-1-1-2000-200011001111000000
χ1922222-122-12-122-1-1-2-2-1-1-11122-1-1112222-1-1-1-1-2-211-1-111-2000-20001100-1-111000000
χ2022222-122-12-122-1-1-2-2-1-1-11122-1-111-2-2-2-21111-2-211-1-11120002000-1-10011-1-1000000
χ2122222-1-2-2-12-122-1-12-2-1-1-1-1-1-2-2111122-2-2-1-1-1-1-22-1-111112000-2000-1-1001111000000
χ2222222-1-2-2-12-122-1-12-2-1-1-1-1-1-2-21111-2-2221111-22-1-11111-200020001100-1-1-1-1000000
χ2322222-1-2-2-12-122-1-1-22-1-1-111-2-211-1-122-2-2-1-1-1-12-21111-1-1-20002000110011-1-1000000
χ2422222-1-2-2-12-122-1-1-22-1-1-111-2-211-1-1-2-22211112-21111-1-12000-2000-1-100-1-111000000
χ252222-12222-12-1-12-122-1-1-122-1-1222200000000-1-1-1-1-1-1-1-1022202-1-100-1-10000-1-10000
χ262222-12222-12-1-12-122-1-1-122-1-1222200000000-1-1-1-1-1-1-1-10-2-2-20-21100110000110000
χ272222-12222-12-1-12-1-2-2-1-1-1-2-2-1-122-2-2000000001111-1-11102-220-2-1-100-1-10000110000
χ282222-12222-12-1-12-1-2-2-1-1-1-2-2-1-122-2-2000000001111-1-1110-22-2021100110000-1-10000
χ292222-12-2-22-12-1-12-12-2-1-1-12211-2-2-2-2000000001-1-1-1111102-2-2021100-1-10000-110000
χ302222-12-2-22-12-1-12-12-2-1-1-12211-2-2-2-2000000001-1-1-111110-2220-2-1-1001100001-10000
χ312222-12-2-22-12-1-12-1-22-1-1-1-2-211-2-22200000000-111111-1-1022-20-21100-1-100001-10000
χ322222-12-2-22-12-1-12-1-22-1-1-1-2-211-2-22200000000-111111-1-10-2-2202-1-100110000-110000
χ3322-2-2222i−2i-2-22-22-2200-22-2002i−2i2i−2i002-22i−2i22-2-200002i−2i000000000000002i−2i00000000
χ3422-2-2222i−2i-2-22-22-2200-22-2002i−2i2i−2i00-22−2i2i-2-22200002i−2i00000000000000−2i2i00000000
χ3522-2-222−2i2i-2-22-22-2200-22-200−2i2i−2i2i002-2−2i2i22-2-20000−2i2i00000000000000−2i2i00000000
χ3622-2-222−2i2i-2-22-22-2200-22-200−2i2i−2i2i00-222i−2i-2-2220000−2i2i000000000000002i−2i00000000
χ3722-2-22-12i−2i1-2-1-221-1001-11−i3i32i−2i−ii3−32-22i−2i-1-11100−i3i3−ii3−300000000−i3i300−ii3−3000000
χ3822-2-22-12i−2i1-2-1-221-1001-11−i3i32i−2i−ii3−3-22−2i2i11-1-100−i3i3−ii3−300000000i3−i300i−i−33000000
χ3922-2-22-12i−2i1-2-1-221-1001-11i3−i32i−2i−ii−332-22i−2i-1-11100i3−i3−ii−3300000000i3−i300−ii−33000000
χ4022-2-22-12i−2i1-2-1-221-1001-11i3−i32i−2i−ii−33-22−2i2i11-1-100i3−i3−ii−3300000000−i3i300i−i3−3000000
χ4122-2-22-1−2i2i1-2-1-221-1001-11−i3i3−2i2ii−i−332-2−2i2i-1-11100−i3i3i−i−3300000000−i3i300i−i−33000000
χ4222-2-22-1−2i2i1-2-1-221-1001-11−i3i3−2i2ii−i−33-222i−2i11-1-100−i3i3i−i−3300000000i3−i300−ii3−3000000
χ4322-2-22-1−2i2i1-2-1-221-1001-11i3−i3−2i2ii−i3−32-2−2i2i-1-11100i3−i3i−i3−300000000i3−i300i−i3−3000000
χ4422-2-22-1−2i2i1-2-1-221-1001-11i3−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
χ474444-2-2-4-4-2-2-2-2-2-214-4111-2-2222222000000002-211-1-1-1-10000000000000000000000
χ484444-2-2-4-4-2-2-2-2-2-21-44111222222-2-200000000-22-1-1-1-1110000000000000000000000
χ4944-4-4-244i−4i-4242-2-4-2002-2200−2i2i4i−4i00000000000000−2i2i000000000000000000000000
χ5044-4-4-24−4i4i-4242-2-4-2002-22002i−2i−4i4i000000000000002i−2i000000000000000000000000
χ5144-4-4-2-24i−4i22-22-22100-11-1−2i32i3−2i2i−2i2i23−230000000000i3−i3i−i−330000000000000000000000
χ5244-4-4-2-24i−4i22-22-22100-11-12i3−2i3−2i2i−2i2i−23230000000000−i3i3i−i3−30000000000000000000000
χ5344-4-4-2-2−4i4i22-22-22100-11-1−2i32i32i−2i2i−2i−23230000000000i3−i3−ii3−30000000000000000000000
χ5444-4-4-2-2−4i4i22-22-22100-11-12i3−2i32i−2i2i−2i23−230000000000−i3i3−ii−330000000000000000000000
χ554-44-4440044-4-4-4-44004-4-40000000000000000000000000000000000000000000000
χ564-44-44-200-242-4-42-200-222000000000000−2i32i3−2i32i3000000000000000000000000000000
χ574-44-44-200-242-4-42-200-2220000000000002i3−2i32i3−2i3000000000000000000000000000000
χ584-44-4-24004-2-422-4-200-222000000000000000000000000000000−2i32i300000000000000
χ594-44-4-24004-2-422-4-200-2220000000000000000000000000000002i3−2i300000000000000
χ604-4-444400-4-4-44-44400-4-440000000000000000000000000000000000000000000000
χ614-4-444-2002-424-4-2-20022-2000000000000−2i32i32i3−2i3000000000000000000000000000000
χ624-4-444-2002-424-4-2-20022-20000000000002i3−2i3−2i32i3000000000000000000000000000000
χ634-4-44-2400-42-4-224-20022-2000000000000000000000000000000000023−230000000000
χ644-4-44-2400-42-4-224-20022-20000000000000000000000000000000000−23230000000000
χ658-88-8-4-400-4-444442002-2-20000000000000000000000000000000000000000000000
χ668-8-88-4-400444-44-4200-2-220000000000000000000000000000000000000000000000

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