Finite Group Databasebeta

← Group #10595088

Character table — Group #10595088

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222222222222224444444444444444444444444446666121212121212121212121212121218181818242424243636
order122233444466666612121212236666666666612121212121212121212121212122244244444661212121212122244612121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-11-1-11-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-11-111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111-1-11111111111-11-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11-11-11-111-1-1-1-111111111-1-1-1-1
χ611111111-1-11111111111-11-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111
χ711111111-1-11111111111-11-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ811111111-1-11111111111-11-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111-11-11-11-1-11111-1-11111-1-111-1-1
χ9111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-1-1-1111111111-1-11-1-11111-1-1-1-111-1-11-11-1-11
χ10111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-1-1-111111111-1-11-1-111111-1-1-1-1-1-111-11-111-1
χ11111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-111-111-1-1-1-1-11111-1-1111-11-11-1
χ12111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-111-111-1-1-1-1111111-1-1-11-11-11
χ13111111-1-1-1-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1111-1-111-1-111-1-11-1-111-1
χ14111111-1-1-1-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-111-1-1-1-111-111-1-11
χ15111111-1-1-1-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-111-1-1111-1-11-11
χ16111111-1-1-1-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-111-1-11111-1-1-111-11-1
χ1722222-1222222-1-12-122222-122-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10000202202000000000000-1-1-1-100
χ1822222-1222222-1-12-122222-122-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10000-20-2-20-2000000000000111100
χ1922222-122-2-222-1-12-12222-2-1-2-211-1-11111-1-1-1-2-211-1-1-1-111110000202-20-2000000000000-1-11100
χ2022222-122-2-222-1-12-12222-2-1-2-211-1-11111-1-1-1-2-211-1-1-1-111110000-20-220200000000000011-1-100
χ2122222-1-2-22222-1-12-1-2-2-2-2-2-1-2-211-1-11111-11122-1-11111-1-1-1-1000020-220-2000000000000-11-1100
χ2222222-1-2-22222-1-12-1-2-2-2-2-2-1-2-211-1-11111-11122-1-11111-1-1-1-10000-202-2020000000000001-11-100
χ2322222-1-2-2-2-222-1-12-1-2-2-2-22-122-1-1-1-1-1-1-1-1-111-2-21111111111000020-2-202000000000000-111-100
χ2422222-1-2-2-2-222-1-12-1-2-2-2-22-122-1-1-1-1-1-1-1-1-111-2-211111111110000-20220-20000000000001-1-1100
χ252222-122222-1-122-12-1-1-1-12-1-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222020020-1-1-1-1-1-1-1-10000000000
χ262222-122222-1-122-12-1-1-1-12-1-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-20-200-20111111110000000000
χ272222-1222-2-2-1-122-12-1-1-1-1-2-111-2-2-1-11111-12211-2-2-1-1-1-1111122-2-20-20020-1-11111-1-10000000000
χ282222-1222-2-2-1-122-12-1-1-1-1-2-111-2-2-1-11111-12211-2-2-1-1-1-11111-2-2220200-2011-1-1-1-1110000000000
χ292222-12-2-222-1-122-121111-2-111-2-2-1-11111-1-2-2-1-1221111-1-1-1-122220-200-20-1-1-1-111110000000000
χ302222-12-2-222-1-122-121111-2-111-2-2-1-11111-1-2-2-1-1221111-1-1-1-1-2-2-2-20200201111-1-1-1-10000000000
χ312222-12-2-2-2-2-1-122-1211112-1-1-122-1-1-1-1-1-1-1-2-211-2-21111111122-2-20200-20-1-111-1-1110000000000
χ322222-12-2-2-2-2-1-122-1211112-1-1-122-1-1-1-1-1-1-1-2-211-2-211111111-2-2220-2002011-1-111-1-10000000000
χ3322-2-222002i−2i2-22-2-2-200000200002-20000-2002i−2i2i−2i00002i2i−2i−2i2-22i−2i0000002-22i−2i00000000000000
χ3422-2-222002i−2i2-22-2-2-200000200002-20000-2002i−2i2i−2i00002i2i−2i−2i-22−2i2i000000-22−2i2i00000000000000
χ3522-2-22200−2i2i2-22-2-2-200000200002-20000-200−2i2i−2i2i0000−2i−2i2i2i2-2−2i2i0000002-2−2i2i00000000000000
χ3622-2-22200−2i2i2-22-2-2-200000200002-20000-200−2i2i−2i2i0000−2i−2i2i2i-222i−2i000000-222i−2i00000000000000
χ3722-2-2-12002i−2i-112-21-233−3−30-1−i3i300-11−i3−i3i3i3100−ii2i−2i33−3−3−i−iii2-22i−2i000000-11−ii−i3i33−30000000000
χ3822-2-2-12002i−2i-112-21-233−3−30-1−i3i300-11−i3−i3i3i3100−ii2i−2i33−3−3−i−iii-22−2i2i0000001-1i−ii3−i3−330000000000
χ3922-2-2-12002i−2i-112-21-2−3−3330-1i3−i300-11i3i3−i3−i3100−ii2i−2i−3−333−i−iii2-22i−2i000000-11−iii3−i3−330000000000
χ4022-2-2-12002i−2i-112-21-2−3−3330-1i3−i300-11i3i3−i3−i3100−ii2i−2i−3−333−i−iii-22−2i2i0000001-1i−i−i3i33−30000000000
χ4122-2-2-1200−2i2i-112-21-233−3−30-1i3−i300-11i3i3−i3−i3100i−i−2i2i33−3−3ii−i−i2-2−2i2i000000-11i−ii3−i33−30000000000
χ4222-2-2-1200−2i2i-112-21-233−3−30-1i3−i300-11i3i3−i3−i3100i−i−2i2i33−3−3ii−i−i-222i−2i0000001-1−ii−i3i3−330000000000
χ4322-2-2-1200−2i2i-112-21-2−3−3330-1−i3i300-11−i3−i3i3i3100i−i−2i2i−3−333ii−i−i2-2−2i2i000000-11i−i−i3i3−330000000000
χ4422-2-2-1200−2i2i-112-21-2−3−3330-1−i3i300-11−i3−i3i3i3100i−i−2i2i−3−333ii−i−i-222i−2i0000001-1−iii3−i33−30000000000
χ452-22-2222i−2i00-22-22-2-22i−2i2i−2i020000-220000-22i−2i00002i−2i2i−2i00000000000000000000002-22i−2i000000
χ462-22-2222i−2i00-22-22-2-22i−2i2i−2i020000-220000-22i−2i00002i−2i2i−2i0000000000000000000000-22−2i2i000000
χ472-22-222−2i2i00-22-22-2-2−2i2i−2i2i020000-220000-2−2i2i0000−2i2i−2i2i00000000000000000000002-2−2i2i000000
χ482-22-222−2i2i00-22-22-2-2−2i2i−2i2i020000-220000-2−2i2i0000−2i2i−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
χ5344-4-44-2004i−4i4-4-22-4200000-20000-2200002004i−4i−2i2i0000−2i−2i2i2i0000000000000000000000000000
χ5444-4-44-200−4i4i4-4-22-4200000-20000-220000200−4i4i2i−2i00002i2i−2i−2i0000000000000000000000000000
χ5544-4-4-2-2004i−4i-22-22222323−23−2301−2i32i3001-1i3i3−i3−i3-100−2i2i−2i2i−3−333ii−i−i0000000000000000000000000000
χ5644-4-4-2-2004i−4i-22-2222−23−232323012i3−2i3001-1−i3−i3i3i3-100−2i2i−2i2i33−3−3ii−i−i0000000000000000000000000000
χ5744-4-4-2-200−4i4i-22-22222323−23−23012i3−2i3001-1−i3−i3i3i3-1002i−2i2i−2i−3−333−i−iii0000000000000000000000000000
χ5844-4-4-2-200−4i4i-22-2222−23−23232301−2i32i3001-1i3i3−i3−i3-1002i−2i2i−2i33−3−3−i−iii0000000000000000000000000000
χ594-44-44-24i−4i00-442-2-424i−4i4i−4i0-200002-200002−2i2i0000−2i2i−2i2i00000000000000000000000000000000
χ604-44-44-2−4i4i00-442-2-42−4i4i−4i4i0-200002-2000022i−2i00002i−2i2i−2i00000000000000000000000000000000
χ614-44-4-244i−4i002-2-442-4−2i2i−2i2i0-200002-2000024i−4i0000−2i2i−2i2i00000000000000000000000000000000
χ624-44-4-24−4i4i002-2-442-42i−2i2i−2i0-200002-200002−4i4i00002i−2i2i−2i00000000000000000000000000000000
χ634-44-4-2-24i−4i002-22-222−2i2i−2i2i010000-113-33-3-1−2i2i0000i−ii−i3i−3i3i−3i0000000000000000000000000000
χ644-44-4-2-24i−4i002-22-222−2i2i−2i2i010000-11-33-33-1−2i2i0000i−ii−i−3i3i−3i3i0000000000000000000000000000
χ654-44-4-2-2−4i4i002-22-2222i−2i2i−2i010000-113-33-3-12i−2i0000−ii−ii−3i3i−3i3i0000000000000000000000000000
χ664-44-4-2-2−4i4i002-22-2222i−2i2i−2i010000-11-33-33-12i−2i0000−ii−ii3i−3i3i−3i0000000000000000000000000000
χ674-4-44440000-4-4-4-4440000040000-4-400004000000000000000000000000000000000000000000
χ684-4-444-20000-4-4224-200000-200−2i32i322−2i32i32i3−2i3-2000000000000000000000000000000000000000000
χ694-4-444-20000-4-4224-200000-2002i3−2i3222i3−2i3−2i32i3-2000000000000000000000000000000000000000000
χ704-4-44-24000022-4-4-24−2i32i32i3−2i30-20000220000-2000000−2i32i32i3−2i300000000000000000000000000000000
χ714-4-44-24000022-4-4-242i3−2i3−2i32i30-20000220000-20000002i3−2i3−2i32i300000000000000000000000000000000
χ724-4-44-2-200002222-2-2−2i32i32i3−2i30100−2i32i3-1-1i3−i3−i3i31000000i3−i3−i3i3-333-30000000000000000000000000000
χ734-4-44-2-200002222-2-2−2i32i32i3−2i301002i3−2i3-1-1−i3i3i3−i31000000i3−i3−i3i33-3-330000000000000000000000000000
χ744-4-44-2-200002222-2-22i3−2i3−2i32i30100−2i32i3-1-1i3−i3−i3i31000000−i3i3i3−i33-3-330000000000000000000000000000
χ754-4-44-2-200002222-2-22i3−2i3−2i32i301002i3−2i3-1-1−i3i3i3−i31000000−i3i3i3−i3-333-30000000000000000000000000000

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