Finite Group Databasebeta

← Group #10594967

Character table — Group #10594967

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222222222222224444444444444444444444444446666121212121212121212121212121218181818242424243636
order1222334444666666121212122366666666666121212121212121212121212121244442244441212121212121212224466121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111-1-11111111111-11-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11-11-11-11111-1-1-1-111111-11-1-1-1
χ611111111-1-11111111111-11-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-111-1-111111-1-1-1-1-1-1-1-1-11-1111
χ711111111-1-11111111111-11-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1111-1-111-1-1-1-1-11111-1-1-1-11-11-111
χ811111111-1-11111111111-11-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111-11-11-11-1-1-1-111111111-11-11-1-1
χ9111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-11111-1-1-11
χ10111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-1111-1
χ11111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-11-1
χ12111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-11
χ13111111-1-1-1-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11-1111-1-1-1-111-1-1111-1-111-1
χ14111111-1-1-1-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-111-111-1-1-1-11111-1-1-111-1-11
χ15111111-1-1-1-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-11-1-11111-1-111-1-11-1-11-11
χ16111111-1-1-1-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11-1-1-11111-1-1-1-111-111-11-1
χ1722222-12222-12-122-122222-122-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10000220022000000000000-1-1-1-100
χ1822222-12222-12-122-122222-122-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10000-2-200-2-2000000000000111100
χ1922222-122-2-2-12-122-12222-2-1-2-211-1-11111-1-1-1-2-211-1-1-1-1111100002-2002-2000000000000-11-1100
χ2022222-122-2-2-12-122-12222-2-1-2-211-1-11111-1-1-1-2-211-1-1-1-111110000-2200-220000000000001-11-100
χ2122222-1-2-222-12-122-1-2-2-2-2-2-1-2-211-1-11111-11122-1-11111-1-1-1-100002200-2-2000000000000-1-11100
χ2222222-1-2-222-12-122-1-2-2-2-2-2-1-2-211-1-11111-11122-1-11111-1-1-1-10000-2-2002200000000000011-1-100
χ2322222-1-2-2-2-2-12-122-1-2-2-2-22-122-1-1-1-1-1-1-1-1-111-2-2111111111100002-200-22000000000000-111-100
χ2422222-1-2-2-2-2-12-122-1-2-2-2-22-122-1-1-1-1-1-1-1-1-111-2-211111111110000-22002-20000000000001-1-1100
χ252222-1222222-12-1-12-1-1-1-12-1-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222002200-1-1-1-1-1-1-1-10000000000
χ262222-1222222-12-1-12-1-1-1-12-1-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-200-2-200111111110000000000
χ272222-1222-2-22-12-1-12-1-1-1-1-2-111-2-2-1-11111-12211-2-2-1-1-1-1111122-2-2002-200-1-1-1-111110000000000
χ282222-1222-2-22-12-1-12-1-1-1-1-2-111-2-2-1-11111-12211-2-2-1-1-1-11111-2-22200-22001111-1-1-1-10000000000
χ292222-12-2-2222-12-1-121111-2-111-2-2-1-11111-1-2-2-1-1221111-1-1-1-1222200-2-200-1-111-1-1110000000000
χ302222-12-2-2222-12-1-121111-2-111-2-2-1-11111-1-2-2-1-1221111-1-1-1-1-2-2-2-200220011-1-111-1-10000000000
χ312222-12-2-2-2-22-12-1-1211112-1-1-122-1-1-1-1-1-1-1-2-211-2-21111111122-2-200-2200-1-11111-1-10000000000
χ322222-12-2-2-2-22-12-1-1211112-1-1-122-1-1-1-1-1-1-1-2-211-2-211111111-2-222002-20011-1-1-1-1110000000000
χ3322-2-222002-2-222-2-2-20000020000-2-200002002-22-2000022-2-22i−2i2i−2i0000002i−2i002i−2i000000000000
χ3422-2-222002-2-222-2-2-20000020000-2-200002002-22-2000022-2-2−2i2i−2i2i000000−2i2i00−2i2i000000000000
χ3522-2-22200-22-222-2-2-20000020000-2-20000200-22-220000-2-2222i−2i−2i2i0000002i−2i00−2i2i000000000000
χ3622-2-22200-22-222-2-2-20000020000-2-20000200-22-220000-2-222−2i2i2i−2i000000−2i2i002i−2i000000000000
χ3722-2-2-12002-2-2-1211-2−i3−i3i3i30-1−i3i30011−i3−i3i3i3-100-112-2−i3−i3i3i3-1-1112i−2i2i−2i000000−ii3−3−ii3−30000000000
χ3822-2-2-12002-2-2-1211-2−i3−i3i3i30-1−i3i30011−i3−i3i3i3-100-112-2−i3−i3i3i3-1-111−2i2i−2i2i000000i−i−33i−i−330000000000
χ3922-2-2-12002-2-2-1211-2i3i3−i3−i30-1i3−i30011i3i3−i3−i3-100-112-2i3i3−i3−i3-1-1112i−2i2i−2i000000−ii−33−ii−330000000000
χ4022-2-2-12002-2-2-1211-2i3i3−i3−i30-1i3−i30011i3i3−i3−i3-100-112-2i3i3−i3−i3-1-111−2i2i−2i2i000000i−i3−3i−i3−30000000000
χ4122-2-2-1200-22-2-1211-2−i3−i3i3i30-1i3−i30011i3i3−i3−i3-1001-1-22−i3−i3i3i311-1-12i−2i−2i2i000000−ii3−3i−i−330000000000
χ4222-2-2-1200-22-2-1211-2−i3−i3i3i30-1i3−i30011i3i3−i3−i3-1001-1-22−i3−i3i3i311-1-1−2i2i2i−2i000000i−i−33−ii3−30000000000
χ4322-2-2-1200-22-2-1211-2i3i3−i3−i30-1−i3i30011−i3−i3i3i3-1001-1-22i3i3−i3−i311-1-12i−2i−2i2i000000−ii−33i−i3−30000000000
χ4422-2-2-1200-22-2-1211-2i3i3−i3−i30-1−i3i30011−i3−i3i3i3-1001-1-22i3i3−i3−i311-1-1−2i2i2i−2i000000i−i3−3−ii−330000000000
χ452-22-2222i−2i002-2-22-2-22i−2i2i−2i0200002-20000-22i−2i00002i−2i2i−2i00000000000000000000002-22i−2i000000
χ462-22-2222i−2i002-2-22-2-22i−2i2i−2i0200002-20000-22i−2i00002i−2i2i−2i0000000000000000000000-22−2i2i000000
χ472-22-222−2i2i002-2-22-2-2−2i2i−2i2i0200002-20000-2−2i2i0000−2i2i−2i2i00000000000000000000002-2−2i2i000000
χ482-22-222−2i2i002-2-22-2-2−2i2i−2i2i0200002-20000-2−2i2i0000−2i2i−2i2i0000000000000000000000-222i−2i000000
χ494444-2-24444-2-2-2-2-2-2-2-2-2-241-2-2-2-21111111-2-2-2-2-2-2111111110000000000000000000000000000
χ504444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-41222211-1-1-1-11-2-222221111-1-1-1-10000000000000000000000000000
χ514444-2-2-4-444-2-2-2-2-2-22222-41222211-1-1-1-1122-2-2-2-2-1-1-1-111110000000000000000000000000000
χ524444-2-2-4-4-4-4-2-2-2-2-2-2222241-2-2-2-21111111222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ5344-4-44-2004-424-2-4-4200000-20000220000-2004-4-220000-2-2220000000000000000000000000000
χ5444-4-44-200-4424-2-4-4200000-20000220000-200-442-2000022-2-20000000000000000000000000000
χ5544-4-4-2-2004-42-2-2222−2i3−2i32i32i301−2i32i300-1-1i3i3−i3−i3100-22-22i3i3−i3−i311-1-10000000000000000000000000000
χ5644-4-4-2-2004-42-2-22222i32i3−2i3−2i3012i3−2i300-1-1−i3−i3i3i3100-22-22−i3−i3i3i311-1-10000000000000000000000000000
χ5744-4-4-2-200-442-2-2222−2i3−2i32i32i3012i3−2i300-1-1−i3−i3i3i31002-22-2i3i3−i3−i3-1-1110000000000000000000000000000
χ5844-4-4-2-200-442-2-22222i32i3−2i3−2i301−2i32i300-1-1i3i3−i3−i31002-22-2−i3−i3i3i3-1-1110000000000000000000000000000
χ594-44-44-24i−4i00-2-424-424i−4i4i−4i0-20000-2200002−2i2i0000−2i2i−2i2i00000000000000000000000000000000
χ604-44-44-2−4i4i00-2-424-42−4i4i−4i4i0-20000-22000022i−2i00002i−2i2i−2i00000000000000000000000000000000
χ614-44-4-244i−4i0042-4-22-4−2i2i−2i2i0-20000-22000024i−4i0000−2i2i−2i2i00000000000000000000000000000000
χ624-44-4-24−4i4i0042-4-22-42i−2i2i−2i0-20000-2200002−4i4i00002i−2i2i−2i00000000000000000000000000000000
χ634-44-4-2-24i−4i00-222-222−2i2i−2i2i0100001-13-33-3-1−2i2i0000i−ii−i3i−3i3i−3i0000000000000000000000000000
χ644-44-4-2-24i−4i00-222-222−2i2i−2i2i0100001-1-33-33-1−2i2i0000i−ii−i−3i3i−3i3i0000000000000000000000000000
χ654-44-4-2-2−4i4i00-222-2222i−2i2i−2i0100001-13-33-3-12i−2i0000−ii−ii−3i3i−3i3i0000000000000000000000000000
χ664-44-4-2-2−4i4i00-222-2222i−2i2i−2i0100001-1-33-33-12i−2i0000−ii−ii3i−3i3i−3i0000000000000000000000000000
χ674-4-44440000-4-4-4-4440000040000-440000-4000000000000000000000000000000000000000000
χ684-4-444-200002-42-44-200000-200−2i32i32-2−2i32i32i3−2i32000000000000000000000000000000000000000000
χ694-4-444-200002-42-44-200000-2002i3−2i32-22i3−2i3−2i32i32000000000000000000000000000000000000000000
χ704-4-44-240000-42-42-2423−23−23230-200002-20000200000023−23−232300000000000000000000000000000000
χ714-4-44-240000-42-42-24−232323−230-200002-200002000000−232323−2300000000000000000000000000000000
χ724-4-44-2-200002222-2-223−23−23230100−2i32i3-11i3−i3−i3i3-1000000−333−3−3i3i3i−3i0000000000000000000000000000
χ734-4-44-2-200002222-2-223−23−232301002i3−2i3-11−i3i3i3−i3-1000000−333−33i−3i−3i3i0000000000000000000000000000
χ744-4-44-2-200002222-2-2−232323−230100−2i32i3-11i3−i3−i3i3-10000003−3−333i−3i−3i3i0000000000000000000000000000
χ754-4-44-2-200002222-2-2−232323−2301002i3−2i3-11−i3i3i3−i3-10000003−3−33−3i3i3i−3i0000000000000000000000000000

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