Finite Group Databasebeta

← Group #13152070

Character table — Group #13152070

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order122222223666666626666336666666666366666666666666666666666664444444424444444121212121212121212121212121212126121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-1-11-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-11-1-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-111111111-1-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111-11-11-1-1-111111-1-1-1-11111-1-1-1-1-111-1
χ6111111-1-111111111-1-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-11-11-11111-1-1-1-1-1-1-1-111111-1-11
χ7111111-1-111111111-1-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-1-1-1-1-111111111-1-1-1-11-1-11
χ8111111-1-111111111-1-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-1-11111-111-1
χ91111-1-11111-1-1-1-111-111-1-11111111111111-1-1-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-11-11-1-1111-1-111-1-111-1-111-1-1-11-11
χ101111-1-11111-1-1-1-111-111-1-11111111111111-1-1-1-1-1-111-1-1111-1-1-1-11111-1-1-1-111-1-111111-1-11-1-11-111-1-111-1-1-1-111-1-1111-11-1
χ111111-1-11111-1-1-1-111-111-1-11111111111111-1-1-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-1-1-111-1-11111-1-111-1-11-11-1
χ121111-1-11111-1-1-1-111-111-1-11111111111111-1-1-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-11-1-11111-1-111-1-111-1-111-1-111-11-11
χ131111-1-1-1-111-1-1-1-1111-1-111111-1-1-1-1111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1
χ141111-1-1-1-111-1-1-1-1111-1-111111-1-1-1-1111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111
χ151111-1-1-1-111-1-1-1-1111-1-111111-1-1-1-1111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-1-11-111-11-1-1-11111-1-111-1-1-1-111-1-111
χ161111-1-1-1-111-1-1-1-1111-1-111111-1-1-1-1111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-11111-1-111-1-1
χ172222222222222222222222-122222-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000200220020000000000000000-1-1-1-1
χ182222222222222222222222-122222-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-200-2-200-200000000000000001111
χ19222222222222222222222-12-1-1-1-1-1222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200220020002000000000-1-1-1-1-1-1-1-10000
χ20222222222222222222222-12-1-1-1-1-1222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200-2000-2000000000111111110000
χ21222222-2-222222222-2-2-2-2-22-12-2-2-2-2-1-1-122-122-2-2-1-11111-1-1-1-1-1-1-11111111100000000200-2200-20000000000000000-111-1
χ22222222-2-222222222-2-2-2-2-22-12-2-2-2-2-1-1-122-122-2-2-1-11111-1-1-1-1-1-1-11111111100000000-2002-200200000000000000001-1-11
χ23222222-2-222222222-2-2-2-2-2-12-11111222-1-1-1-1-11122-2-2-2-2-1-1-1-1-1-1-1111111110022002200-2000-2000000000-1-1-1-111110000
χ24222222-2-222222222-2-2-2-2-2-12-11111222-1-1-1-1-11122-2-2-2-2-1-1-1-1-1-1-11111111100-2-200-2-200200020000000001111-1-1-1-10000
χ252222-2-22222-2-2-2-222-222-2-22-122222-1-1-122-1-2-2-2-211-1-111-1-1-11111-1-1-1-11111000000002002-200-20000000000000000-11-11
χ262222-2-22222-2-2-2-222-222-2-22-122222-1-1-122-1-2-2-2-211-1-111-1-1-11111-1-1-1-1111100000000-200-2200200000000000000001-11-1
χ272222-2-22222-2-2-2-222-222-2-2-12-1-1-1-1-1222-1-1-11111-2-222-2-2-1-1-11111-1-1-1-11111002200-2-2002000-2000000000-1-111-1-1110000
χ282222-2-22222-2-2-2-222-222-2-2-12-1-1-1-1-1222-1-1-11111-2-222-2-2-1-1-11111-1-1-1-1111100-2-2002200-2000200000000011-1-111-1-10000
χ292222-2-2-2-222-2-2-2-2222-2-2222-12-2-2-2-2-1-1-122-1-2-2221111-1-1-1-1-111111111-1-1-1-100000000200-2-20020000000000000000-1-111
χ302222-2-2-2-222-2-2-2-2222-2-2222-12-2-2-2-2-1-1-122-1-2-2221111-1-1-1-1-111111111-1-1-1-100000000-2002200-2000000000000000011-1-1
χ312222-2-2-2-222-2-2-2-2222-2-222-12-11111222-1-1-111-1-1-2-2-2-222-1-1-111111111-1-1-1-1002200-2-200-20002000000000-1-11111-1-10000
χ322222-2-2-2-222-2-2-2-2222-2-222-12-11111222-1-1-111-1-1-2-2-2-222-1-1-111111111-1-1-1-100-2-20022002000-200000000011-1-1-1-1110000
χ3322-2-2002-2220000-2-202-20022-222-2-22-2-22-220000002-2002-2-2000022-2-200002i−2i002i−2i00000000002i−2i002i−2i00000000000000
χ3422-2-2002-2220000-2-202-20022-222-2-22-2-22-220000002-2002-2-2000022-2-20000−2i2i00−2i2i0000000000−2i2i00−2i2i00000000000000
χ3522-2-200-22220000-2-20-220022-2-2-2222-2-22-22000000-22002-2-20000-2-22200002i−2i00−2i2i00000000002i−2i00−2i2i00000000000000
χ3622-2-200-22220000-2-20-220022-2-2-2222-2-22-22000000-22002-2-20000-2-2220000−2i2i002i−2i0000000000−2i2i002i−2i00000000000000
χ372-22-22-2002-222-2-22-2000002220000-22-2-2-222-2002-20000-22-222-2-200000000002i−2i002i−2i00000000000000002i−2i2i−2i00000000
χ382-22-22-2002-222-2-22-2000002220000-22-2-2-222-2002-20000-22-222-2-20000000000−2i2i00−2i2i0000000000000000−2i2i−2i2i00000000
χ392-22-22-2002-222-2-22-200000-12-1−i3i3−i3i3-22-211-1-11−i3i32-200001-11-1-111−i3i3−i3i3−i3−i3i3i3002i−2i002i−2i0000000000000000−ii−ii3−33−30000
χ402-22-22-2002-222-2-22-200000-12-1−i3i3−i3i3-22-211-1-11−i3i32-200001-11-1-111−i3i3−i3i3−i3−i3i3i300−2i2i00−2i2i0000000000000000i−ii−i−33−330000
χ412-22-22-2002-222-2-22-200000-12-1i3−i3i3−i3-22-211-1-11i3−i32-200001-11-1-111i3−i3i3−i3i3i3−i3−i3002i−2i002i−2i0000000000000000−ii−ii−33−330000
χ422-22-22-2002-222-2-22-200000-12-1i3−i3i3−i3-22-211-1-11i3−i32-200001-11-1-111i3−i3i3−i3i3i3−i3−i300−2i2i00−2i2i0000000000000000i−ii−i3−33−30000
χ432-22-2-22002-2-2-2222-2000002220000-22-2-2-22-2200-220000-22-2-2-22200000000002i−2i00−2i2i00000000000000002i−2i−2i2i00000000
χ442-22-2-22002-2-2-2222-2000002220000-22-2-2-22-2200-220000-22-2-2-2220000000000−2i2i002i−2i0000000000000000−2i2i2i−2i00000000
χ452-22-2-22002-2-2-2222-200000-12-1−i3i3−i3i3-22-211-11-1i3−i3-2200001-1111-1-1−i3i3−i3i3i3i3−i3−i3002i−2i00−2i2i0000000000000000−iii−i3−3−330000
χ462-22-2-22002-2-2-2222-200000-12-1−i3i3−i3i3-22-211-11-1i3−i3-2200001-1111-1-1−i3i3−i3i3i3i3−i3−i300−2i2i002i−2i0000000000000000i−i−ii−333−30000
χ472-22-2-22002-2-2-2222-200000-12-1i3−i3i3−i3-22-211-11-1−i3i3-2200001-1111-1-1i3−i3i3−i3−i3−i3i3i3002i−2i00−2i2i0000000000000000−iii−i−333−30000
χ482-22-2-22002-2-2-2222-200000-12-1i3−i3i3−i3-22-211-11-1−i3i3-2200001-1111-1-1i3−i3i3−i3−i3−i3i3i300−2i2i002i−2i0000000000000000i−i−ii3−3−330000
χ49444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2111111111111111000000000000000000000000000000000000
χ50444444-4-444444444-4-4-4-4-4-2-2-22222-2-2-2-2-21-2-222-2-222221111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ514444-4-44444-4-4-4-444-444-4-4-2-2-2-2-2-2-2-2-2-2-2-21222222-2-222111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ524444-4-4-4-444-4-4-4-4444-4-444-2-2-22222-2-2-2-2-2122-2-22222-2-2111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ5344-4-4004-4440000-4-404-4004-2-444-4-4-2224-4-2000000-2200-2220000-2-2220000000000000000000000000000000000000000
χ5444-4-4004-4440000-4-404-400-242-2-2224-4-4-22-20000004-400-2220000-2-2220000000000000000000000000000000000000000
χ5544-4-4004-4440000-4-404-400-2-22-2-222-222-221000000-22001-1-13-33-311-1-13-33-3000000000000000000000000000000000000
χ5644-4-4004-4440000-4-404-400-2-22-2-222-222-221000000-22001-1-1-33-3311-1-1-33-33000000000000000000000000000000000000
χ5744-4-400-44440000-4-40-44004-2-4-4-444-2224-4-20000002-200-222000022-2-20000000000000000000000000000000000000000
χ5844-4-400-44440000-4-40-4400-24222-2-24-4-4-22-2000000-4400-222000022-2-20000000000000000000000000000000000000000
χ5944-4-400-44440000-4-40-4400-2-2222-2-2-222-2210000002-2001-1-13-33-3-1-111-33-33000000000000000000000000000000000000
χ6044-4-400-44440000-4-40-4400-2-2222-2-2-222-2210000002-2001-1-1-33-33-1-1113-33-3000000000000000000000000000000000000
χ614-44-44-4004-444-4-44-4000004-2400002-22-4-4-24-400-2200002-22-2-22200000000000000000000000000000000000000000000
χ624-44-44-4004-444-4-44-400000-2-2-2−2i32i3−2i32i32-22221-22−2i32i3-220000-11-111-1-1i3−i3i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ634-44-44-4004-444-4-44-400000-2-2-22i3−2i32i3−2i32-22221-222i3−2i3-220000-11-111-1-1−i3i3−i3i3−i3−i3i3i3000000000000000000000000000000000000
χ644-44-4-44004-4-4-4444-4000004-2400002-22-4-4-2-44002-200002-2222-2-200000000000000000000000000000000000000000000
χ654-44-4-44004-4-4-4444-400000-2-2-2−2i32i3−2i32i32-222212-22i3−2i32-20000-11-1-1-111i3−i3i3−i3−i3−i3i3i3000000000000000000000000000000000000
χ664-44-4-44004-4-4-4444-400000-2-2-22i3−2i32i3−2i32-222212-2−2i32i32-20000-11-1-1-111−i3i3−i3i3i3i3−i3−i3000000000000000000000000000000000000
χ674-4-4400004-40000-440000044-40000-4-44-4440000000000-4-44000000000000000000000000000000000000000000000000
χ684-4-4400004-40000-44000004-2-4000022-2-44-200000000−2i32i322-200000000−2i32i32i3−2i3000000000000000000000000000000000000
χ694-4-4400004-40000-44000004-2-4000022-2-44-2000000002i3−2i322-2000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ704-4-4400004-40000-4400000-242−2i32i32i3−2i3-4-442-2-2000000000022-20000−2i32i32i3−2i30000000000000000000000000000000000000000
χ714-4-4400004-40000-4400000-2422i3−2i3−2i32i3-4-442-2-2000000000022-200002i3−2i3−2i32i30000000000000000000000000000000000000000
χ724-4-4400004-40000-4400000-2-22−2i32i32i3−2i322-22-2100000000−2i32i3-1-11-333-3i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000
χ734-4-4400004-40000-4400000-2-22−2i32i32i3−2i322-22-21000000002i3−2i3-1-113-3-33i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000000000
χ744-4-4400004-40000-4400000-2-222i3−2i3−2i32i322-22-2100000000−2i32i3-1-113-3-33−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000000000
χ754-4-4400004-40000-4400000-2-222i3−2i3−2i32i322-22-21000000002i3−2i3-1-11-333-3−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000
χ7666666666-3-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000002200220002000200-1-1-1-1-1-1-1-1000000000000
χ7766666666-3-3-3-3-3-3-3-36-3-3-3-300000000000000000000000000000000000000-2-200-2-2000-2000-20011111111000000000000
χ78666666-6-6-3-3-3-3-3-3-3-3-63333000000000000000000000000000000000000002200-2-20002000-200-1-1-1-11111000000000000
χ79666666-6-6-3-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000-2-20022000-20002001111-1-1-1-1000000000000
χ806666-6-666-3-33333-3-3-6-3-33300000000000000000000000000000000000000220022000-2000-200-1-111-1-111000000000000
χ816666-6-666-3-33333-3-3-6-3-33300000000000000000000000000000000000000-2-200-2-2000200020011-1-111-1-1000000000000
χ826666-6-6-6-6-3-33333-3-3633-3-3000000000000000000000000000000000000002200-2-2000-2000200-1-11111-1-1000000000000
χ836666-6-6-6-6-3-33333-3-3633-3-300000000000000000000000000000000000000-2-200220002000-20011-1-1-1-111000000000000
χ8466-6-6006-6-3-3−3i33i3−3i33i3330-33−3i33i3000000000000000000000000000000000000002i−2i002i−2i0000000000−ii3−3−ii3−3000000000000
χ8566-6-6006-6-3-3−3i33i3−3i33i3330-33−3i33i300000000000000000000000000000000000000−2i2i00−2i2i0000000000i−i−33i−i−33000000000000
χ8666-6-6006-6-3-33i3−3i33i3−3i3330-333i3−3i3000000000000000000000000000000000000002i−2i002i−2i0000000000−ii−33−ii−33000000000000
χ8766-6-6006-6-3-33i3−3i33i3−3i3330-333i3−3i300000000000000000000000000000000000000−2i2i00−2i2i0000000000i−i3−3i−i3−3000000000000
χ8866-6-600-66-3-3−3i33i3−3i33i33303-33i3−3i3000000000000000000000000000000000000002i−2i00−2i2i0000000000−ii3−3i−i−33000000000000
χ8966-6-600-66-3-3−3i33i3−3i33i33303-33i3−3i300000000000000000000000000000000000000−2i2i002i−2i0000000000i−i−33−ii3−3000000000000
χ9066-6-600-66-3-33i3−3i33i3−3i33303-3−3i33i3000000000000000000000000000000000000002i−2i00−2i2i0000000000−ii−33i−i3−3000000000000
χ9166-6-600-66-3-33i3−3i33i3−3i33303-3−3i33i300000000000000000000000000000000000000−2i2i002i−2i0000000000i−i3−3−ii−33000000000000
χ9212-1212-1212-1200-66-6-666-660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9312-1212-12-121200-6666-6-6-660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-12120000-66−6i36i36i3−6i36-60000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-12120000-666i3−6i3−6i36i36-60000000000000000000000000000000000000000000000000000000000000000000000000000000

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