Finite Group Databasebeta

← Group #13152062

Character table — Group #13152062

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order12222222366666662666633666666666636666666666666666666666666224444442244444466661212121212121212121212126121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-11-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-11-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-111111111-1-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1111-1-1-11-1-111111-1-1-1-11111-1-1-1-1-111-1
χ6111111-1-111111111-1-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11-11111-1-1-1-1-1-1-1-111111-1-11
χ7111111-1-111111111-1-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-111-1-11-1-1-1-1-1-111111111-1-1-1-11-1-11
χ8111111-1-111111111-1-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-111-1
χ91111-1-111111-1-1-1-11-111-1-11111111111111-1-1-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1-1-111-1-111-1-111-1-111-1-1-11-11
χ101111-1-111111-1-1-1-11-111-1-11111111111111-1-1-1-1-1-111-1-1111-1-1-1-11111-1-1-1-111-1-11111-11-1-1-1-11111-1-111-1-1-1-111-1-1111-11-1
χ111111-1-111111-1-1-1-11-111-1-11111111111111-1-1-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-11-11-11-1-111-1-11111-1-111-1-11-11-1
χ121111-1-111111-1-1-1-11-111-1-11111111111111-1-1-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-11-1111-1-1-111-1-111-1-111-1-111-11-11
χ131111-1-1-1-1111-1-1-1-111-1-111111-1-1-1-1111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1111-111-1-1-1-11111-1-1-1-11111-1-1
χ141111-1-1-1-1111-1-1-1-111-1-111111-1-1-1-1111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-11-1111-1-1-1-111-1-11111-1-1-1-111
χ151111-1-1-1-1111-1-1-1-111-1-111111-1-1-1-1111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-11-11-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ161111-1-1-1-1111-1-1-1-111-1-111111-1-1-1-1111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ172222222222222222222222-122222-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000022020020000000000000000-1-1-1-1
χ182222222222222222222222-122222-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-20-200-200000000000000001111
χ19222222222222222222222-12-1-1-1-1-1222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200220002002000000000-1-1-1-1-1-1-1-10000
χ20222222222222222222222-12-1-1-1-1-1222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000-200-2000000000111111110000
χ21222222-2-222222222-2-2-2-2-22-12-2-2-2-2-1-1-122-122-2-2-1-11111-1-1-1-1-1-1-111111111000000000220-200-20000000000000000-111-1
χ22222222-2-222222222-2-2-2-2-22-12-2-2-2-2-1-1-122-122-2-2-1-11111-1-1-1-1-1-1-111111111000000000-2-20200200000000000000001-1-11
χ23222222-2-222222222-2-2-2-2-2-12-11111222-1-1-1-1-11122-2-2-2-2-1-1-1-1-1-1-11111111100220022000-200-2000000000-1-1-1-111110000
χ24222222-2-222222222-2-2-2-2-2-12-11111222-1-1-1-1-11122-2-2-2-2-1-1-1-1-1-1-11111111100-2-200-2-200020020000000001111-1-1-1-10000
χ252222-2-222222-2-2-2-22-222-2-22-122222-1-1-122-1-2-2-2-211-1-111-1-1-11111-1-1-1-111110000000002-20-20020000000000000000-11-11
χ262222-2-222222-2-2-2-22-222-2-22-122222-1-1-122-1-2-2-2-211-1-111-1-1-11111-1-1-1-11111000000000-220200-200000000000000001-11-1
χ272222-2-222222-2-2-2-22-222-2-2-12-1-1-1-1-1222-1-1-11111-2-222-2-2-1-1-11111-1-1-1-11111002200-2-2000200-2000000000-1-111-1-1110000
χ282222-2-222222-2-2-2-22-222-2-2-12-1-1-1-1-1222-1-1-11111-2-222-2-2-1-1-11111-1-1-1-1111100-2-20022000-200200000000011-1-111-1-10000
χ292222-2-2-2-2222-2-2-2-222-2-2222-12-2-2-2-2-1-1-122-1-2-2221111-1-1-1-1-111111111-1-1-1-10000000002-20200-20000000000000000-1-111
χ302222-2-2-2-2222-2-2-2-222-2-2222-12-2-2-2-2-1-1-122-1-2-2221111-1-1-1-1-111111111-1-1-1-1000000000-220-2002000000000000000011-1-1
χ312222-2-2-2-2222-2-2-2-222-2-222-12-11111222-1-1-111-1-1-2-2-2-222-1-1-111111111-1-1-1-1002200-2-2000-2002000000000-1-11111-1-10000
χ322222-2-2-2-2222-2-2-2-222-2-222-12-11111222-1-1-111-1-1-2-2-2-222-1-1-111111111-1-1-1-100-2-20022000200-200000000011-1-1-1-1110000
χ3322-2-22-20022-222-2-2-20000022200002-2-2-2-222-2002-200002-2-222-2-200000000002i−2i002i−2i00000000000000002i−2i2i−2i00000000
χ3422-2-22-20022-222-2-2-20000022200002-2-2-2-222-2002-200002-2-222-2-20000000000−2i2i00−2i2i0000000000000000−2i2i−2i2i00000000
χ3522-2-22-20022-222-2-2-200000-12-1−i3−i3i3i32-2-211-1-11−i3i32-20000-111-1-111−i3−i3i3i3−i3−i3i3i3002i−2i002i−2i0000000000000000−ii−ii3−33−30000
χ3622-2-22-20022-222-2-2-200000-12-1−i3−i3i3i32-2-211-1-11−i3i32-20000-111-1-111−i3−i3i3i3−i3−i3i3i300−2i2i00−2i2i0000000000000000i−ii−i−33−330000
χ3722-2-22-20022-222-2-2-200000-12-1i3i3−i3−i32-2-211-1-11i3−i32-20000-111-1-111i3i3−i3−i3i3i3−i3−i3002i−2i002i−2i0000000000000000−ii−ii−33−330000
χ3822-2-22-20022-222-2-2-200000-12-1i3i3−i3−i32-2-211-1-11i3−i32-20000-111-1-111i3i3−i3−i3i3i3−i3−i300−2i2i00−2i2i0000000000000000i−ii−i3−33−30000
χ3922-2-2-220022-2-2-222-20000022200002-2-2-2-22-2200-2200002-2-2-2-22200000000002i−2i00−2i2i00000000000000002i−2i−2i2i00000000
χ4022-2-2-220022-2-2-222-20000022200002-2-2-2-22-2200-2200002-2-2-2-2220000000000−2i2i002i−2i0000000000000000−2i2i2i−2i00000000
χ4122-2-2-220022-2-2-222-200000-12-1−i3−i3i3i32-2-211-11-1i3−i3-220000-11111-1-1−i3−i3i3i3i3i3−i3−i3002i−2i00−2i2i0000000000000000−iii−i3−3−330000
χ4222-2-2-220022-2-2-222-200000-12-1−i3−i3i3i32-2-211-11-1i3−i3-220000-11111-1-1−i3−i3i3i3i3i3−i3−i300−2i2i002i−2i0000000000000000i−i−ii−333−30000
χ4322-2-2-220022-2-2-222-200000-12-1i3i3−i3−i32-2-211-11-1−i3i3-220000-11111-1-1i3i3−i3−i3−i3−i3i3i3002i−2i00−2i2i0000000000000000−iii−i−333−30000
χ4422-2-2-220022-2-2-222-200000-12-1i3i3−i3−i32-2-211-11-1−i3i3-220000-11111-1-1i3i3−i3−i3−i3−i3i3i300−2i2i002i−2i0000000000000000i−i−ii3−3−330000
χ452-2-22002-22-2-20000202-20022-22-22-2-22-22-220000002-200-22-200002-22-200002-2002-200000000002-2002-200000000000000
χ462-2-22002-22-2-20000202-20022-22-22-2-22-22-220000002-200-22-200002-22-20000-2200-220000000000-2200-2200000000000000
χ472-2-2200-222-2-2000020-220022-2-22-22-22-22-22000000-2200-22-20000-22-2200002-200-2200000000002-200-2200000000000000
χ482-2-2200-222-2-2000020-220022-2-22-22-22-22-22000000-2200-22-20000-22-220000-22002-20000000000-22002-200000000000000
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
χ514444-4-444444-4-4-4-44-444-4-4-2-2-2-2-2-2-2-2-2-2-2-21222222-2-222111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ524444-4-4-4-4444-4-4-4-444-4-444-2-2-22222-2-2-2-2-2122-2-22222-2-2111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ5344-4-44-40044-444-4-4-4000004-240000-222-4-4-24-400-220000-222-2-22200000000000000000000000000000000000000000000
χ5444-4-44-40044-444-4-4-400000-2-2-2−2i3−2i32i32i3-222221-22−2i32i3-2200001-1-111-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ5544-4-44-40044-444-4-4-400000-2-2-22i32i3−2i3−2i3-222221-222i3−2i3-2200001-1-111-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000
χ5644-4-4-440044-4-4-444-4000004-240000-222-4-4-2-44002-20000-22222-2-200000000000000000000000000000000000000000000
χ5744-4-4-440044-4-4-444-400000-2-2-2−2i3−2i32i32i3-2222212-22i3−2i32-200001-1-1-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000
χ5844-4-4-440044-4-4-444-400000-2-2-22i32i3−2i3−2i3-2222212-2−2i32i32-200001-1-1-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000
χ594-44-400004-440000-40000044-40000-4-44-4440000000000-4-44000000000000000000000000000000000000000000000000
χ604-44-400004-440000-4000004-2-4000022-2-44-200000000−2i32i322-200000000−2i32i3−2i32i3000000000000000000000000000000000000
χ614-44-400004-440000-4000004-2-4000022-2-44-2000000002i3−2i322-2000000002i3−2i32i3−2i3000000000000000000000000000000000000
χ624-44-400004-440000-400000-242−2i32i32i3−2i3-4-442-2-2000000000022-20000−2i32i32i3−2i30000000000000000000000000000000000000000
χ634-44-400004-440000-400000-2422i3−2i3−2i32i3-4-442-2-2000000000022-200002i3−2i3−2i32i30000000000000000000000000000000000000000
χ644-44-400004-440000-400000-2-22−2i32i32i3−2i322-22-2100000000−2i32i3-1-113-33-3i3−i3−i3i3i3−i3i3−i3000000000000000000000000000000000000
χ654-44-400004-440000-400000-2-22−2i32i32i3−2i322-22-21000000002i3−2i3-1-11-33-33i3−i3−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ664-44-400004-440000-400000-2-222i3−2i3−2i32i322-22-2100000000−2i32i3-1-11-33-33−i3i3i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ674-44-400004-440000-400000-2-222i3−2i3−2i32i322-22-21000000002i3−2i3-1-113-33-3−i3i3i3−i3−i3i3−i3i3000000000000000000000000000000000000
χ684-4-44004-44-4-40000404-4004-2-44-44-42-224-4-2000000-22002-220000-22-220000000000000000000000000000000000000000
χ694-4-44004-44-4-40000404-400-242-22-22-44-4-22-20000004-4002-220000-22-220000000000000000000000000000000000000000
χ704-4-44004-44-4-40000404-400-2-22-22-222-22-221000000-2200-11-13-3-331-11-1-333-3000000000000000000000000000000000000
χ714-4-44004-44-4-40000404-400-2-22-22-222-22-221000000-2200-11-1-333-31-11-13-3-33000000000000000000000000000000000000
χ724-4-4400-444-4-4000040-44004-2-4-44-442-224-4-20000002-2002-2200002-22-20000000000000000000000000000000000000000
χ734-4-4400-444-4-4000040-4400-2422-22-2-44-4-22-2000000-44002-2200002-22-20000000000000000000000000000000000000000
χ744-4-4400-444-4-4000040-4400-2-222-22-22-22-2210000002-200-11-13-3-33-11-113-3-33000000000000000000000000000000000000
χ754-4-4400-444-4-4000040-4400-2-222-22-22-22-2210000002-200-11-1-333-3-11-11-333-3000000000000000000000000000000000000
χ7666666666-3-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000002200220020000200-1-1-1-1-1-1-1-1000000000000
χ7766666666-3-3-3-3-3-3-3-36-3-3-3-300000000000000000000000000000000000000-2-200-2-200-20000-20011111111000000000000
χ78666666-6-6-3-3-3-3-3-3-3-3-63333000000000000000000000000000000000000002200-2-20020000-200-1-1-1-11111000000000000
χ79666666-6-6-3-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000-2-2002200-200002001111-1-1-1-1000000000000
χ806666-6-666-3-3-33333-3-6-3-3330000000000000000000000000000000000000022002200-20000-200-1-111-1-111000000000000
χ816666-6-666-3-3-33333-3-6-3-33300000000000000000000000000000000000000-2-200-2-2002000020011-1-111-1-1000000000000
χ826666-6-6-6-6-3-3-33333-3633-3-3000000000000000000000000000000000000002200-2-200-20000200-1-11111-1-1000000000000
χ836666-6-6-6-6-3-3-33333-3633-3-300000000000000000000000000000000000000-2-200220020000-20011-1-1-1-111000000000000
χ846-6-66006-6-333−3i33i3−3i33i3-30-33−3i33i3000000000000000000000000000000000000002-2002-20000000000-11−i3i3-11−i3i3000000000000
χ856-6-66006-6-333−3i33i3−3i33i3-30-33−3i33i300000000000000000000000000000000000000-2200-2200000000001-1i3−i31-1i3−i3000000000000
χ866-6-66006-6-3333i3−3i33i3−3i3-30-333i3−3i3000000000000000000000000000000000000002-2002-20000000000-11i3−i3-11i3−i3000000000000
χ876-6-66006-6-3333i3−3i33i3−3i3-30-333i3−3i300000000000000000000000000000000000000-2200-2200000000001-1−i3i31-1−i3i3000000000000
χ886-6-6600-66-333−3i33i3−3i33i3-303-33i3−3i3000000000000000000000000000000000000002-200-220000000000-11−i3i31-1i3−i3000000000000
χ896-6-6600-66-333−3i33i3−3i33i3-303-33i3−3i300000000000000000000000000000000000000-22002-200000000001-1i3−i3-11−i3i3000000000000
χ906-6-6600-66-3333i3−3i33i3−3i3-303-3−3i33i3000000000000000000000000000000000000002-200-220000000000-11i3−i31-1−i3i3000000000000
χ916-6-6600-66-3333i3−3i33i3−3i3-303-3−3i33i300000000000000000000000000000000000000-22002-200000000001-1−i3i3-11i3−i3000000000000
χ921212-12-1212-1200-6-66-6-66660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ931212-12-12-121200-6-6666-6-660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-1212-120000-66-6−6i36i36i3−6i360000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-1212-120000-66-66i3−6i3−6i36i360000000000000000000000000000000000000000000000000000000000000000000000000000000

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