Finite Group Databasebeta

← Group #13147843

Character table — Group #13147843

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order12223444466612121212412121212336666661212121236661212121212121212121212121212121212121212121244444444222244446666121212121212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-111
χ61111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1111111111-1-1-1-1-1-1-1-111-1-1
χ71111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ81111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-11111-1-1-1-11111-1-1-1-1-1-111
χ911111-1-111111-1-1-1-1-111-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-11-1-11-1-111-1-111-1-111-1-111-1-11-11-1
χ1011111-1-111111-1-1-1-1-111-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-11-11-1-11-1-1-11111-1-111-1-1-1-111-11-11
χ1111111-1-111111-1-1-1-1-111-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-111-11111-1-1-1-111-1-11111-1-1-11-11
χ1211111-1-111111-1-1-1-1-111-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111-111-11-1-111-1-111-1-111-1-1111-11-1
χ1311111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11-1111-1-1-1-11111-1-1-1-11111-1-1-111-1
χ1411111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-11-11-11-111-1-111-1-1-1-111-1-1111-1-11
χ1511111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-1-111-1-111-1-11111-1-111-1-11-1-11
χ1611111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1-11-11-1111-1-1-1-11111-1-1-1-111-111-1
χ172222222222222222222222-122-1-12-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000002202200000000000000000-1-1-1-1
χ182222222222222222222222-122-1-12-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-20-2-2000000000000000001111
χ19222222222222222222222-12-1-122-12-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222222000000-1-1-1-100000000-1-1-1-10000
χ20222222222222222222222-12-1-122-12-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-200000011110000000011110000
χ212222222-2-22222222-2-2-2-2-22-122-1-12-1-2-2-2-2-1-1-1-12211-2-211-1-1-1-1-1-1111111110000000000220-2-200000000000000000-1-111
χ222222222-2-22222222-2-2-2-2-22-122-1-12-1-2-2-2-2-1-1-1-12211-2-211-1-1-1-1-1-1111111110000000000-2-20220000000000000000011-1-1
χ232222222-2-22222222-2-2-2-2-2-12-1-122-121111-1-1-1-1-1-1-2-211-2-222-1-1-1-11111111100002222-2-2000000111100000000-1-1-1-10000
χ242222222-2-22222222-2-2-2-2-2-12-1-122-121111-1-1-1-1-1-1-2-211-2-222-1-1-1-1111111110000-2-2-2-222000000-1-1-1-10000000011110000
χ2522222-2-222222-2-2-2-2-222-2-22-122-1-12-12222-1-1-1-1-2-2-1-1-2-211111111-1-1-1-1111100000000002-202-200000000000000000-11-11
χ2622222-2-222222-2-2-2-2-222-2-22-122-1-12-12222-1-1-1-1-2-2-1-1-2-211111111-1-1-1-111110000000000-220-22000000000000000001-11-1
χ2722222-2-222222-2-2-2-2-222-2-2-12-1-122-12-1-1-1-1-1-1-1-1112211-2-2-2-21111-1-1-1-11111000022-2-22-2000000-1-11100000000-1-1110000
χ2822222-2-222222-2-2-2-2-222-2-2-12-1-122-12-1-1-1-1-1-1-1-1112211-2-2-2-21111-1-1-1-111110000-2-222-2200000011-1-10000000011-1-10000
χ2922222-2-2-2-2222-2-2-2-22-2-2222-122-1-12-1-2-2-2-2-1-1-1-1-2-21122-1-11111111111-1-1-1-100000000002-20-2200000000000000000-111-1
χ3022222-2-2-2-2222-2-2-2-22-2-2222-122-1-12-1-2-2-2-2-1-1-1-1-2-21122-1-11111111111-1-1-1-10000000000-2202-2000000000000000001-1-11
χ3122222-2-2-2-2222-2-2-2-22-2-222-12-1-122-121111-1-1-1-111-2-2-1-122-2-211111111-1-1-1-1000022-2-2-2200000011-1-100000000-1-1110000
χ3222222-2-2-2-2222-2-2-2-22-2-222-12-1-122-121111-1-1-1-111-2-2-1-122-2-211111111-1-1-1-10000-2-2222-2000000-1-1110000000011-1-10000
χ3322-2-22002i−2i-22-2000002i−2i00222-22-2-2-22i2i−2i−2i22-2-2002i−2i00000000002i2i−2i−2i00002-22i−2i00000000000000002-2002i−2i0000000000
χ3422-2-22002i−2i-22-2000002i−2i00222-22-2-2-22i2i−2i−2i22-2-2002i−2i00000000002i2i−2i−2i0000-22−2i2i0000000000000000-2200−2i2i0000000000
χ3522-2-2200−2i2i-22-200000−2i2i00222-22-2-2-2−2i−2i2i2i22-2-200−2i2i0000000000−2i−2i2i2i00002-2−2i2i00000000000000002-200−2i2i0000000000
χ3622-2-2200−2i2i-22-200000−2i2i00222-22-2-2-2−2i−2i2i2i22-2-200−2i2i0000000000−2i−2i2i2i0000-222i−2i0000000000000000-22002i−2i0000000000
χ372-22-222-2002-2-222-2-20000022-22-2-2-2200002-22-22-20000002-222-2-20000000000002i−2i2i−2i000000000000000000002i−2i2i−2i0000
χ382-22-222-2002-2-222-2-20000022-22-2-2-2200002-22-22-20000002-222-2-2000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i0000
χ392-22-222-2002-2-222-2-200000-121-1-2-2123−33−3-11-11-11003−3002-2-1-1113−33−333−3−300002i−2i2i−2i00000000−i3i3−i3i300000000−ii−ii0000
χ402-22-222-2002-2-222-2-200000-121-1-2-2123−33−3-11-11-11003−3002-2-1-1113−33−333−3−30000−2i2i−2i2i00000000i3−i3i3−i300000000i−ii−i0000
χ412-22-222-2002-2-222-2-200000-121-1-2-212−33−33-11-11-1100−33002-2-1-111−33−33−3−33300002i−2i2i−2i00000000i3−i3i3−i300000000−ii−ii0000
χ422-22-222-2002-2-222-2-200000-121-1-2-212−33−33-11-11-1100−33002-2-1-111−33−33−3−3330000−2i2i−2i2i00000000−i3i3−i3i300000000i−ii−i0000
χ432-22-22-22002-2-2-2-2220000022-22-2-2-2200002-22-2-22000000-22-2-2220000000000002i−2i−2i2i000000000000000000002i−2i−2i2i0000
χ442-22-22-22002-2-2-2-2220000022-22-2-2-2200002-22-2-22000000-22-2-222000000000000−2i2i2i−2i00000000000000000000−2i2i2i−2i0000
χ452-22-22-22002-2-2-2-22200000-121-1-2-2123−33−3-11-111-100−3300-2211-1-13−33−3−3−33300002i−2i−2i2i00000000−i3i3i3−i300000000−iii−i0000
χ462-22-22-22002-2-2-2-22200000-121-1-2-2123−33−3-11-111-100−3300-2211-1-13−33−3−3−3330000−2i2i2i−2i00000000i3−i3−i3i300000000i−i−ii0000
χ472-22-22-22002-2-2-2-22200000-121-1-2-212−33−33-11-111-1003−300-2211-1-1−33−3333−3−300002i−2i−2i2i00000000i3−i3−i3i300000000−iii−i0000
χ482-22-22-22002-2-2-2-22200000-121-1-2-212−33−33-11-111-1003−300-2211-1-1−33−3333−3−30000−2i2i2i−2i00000000−i3i3i3−i300000000i−i−ii0000
χ49444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ504444444-4-44444444-4-4-4-4-4-2-2-2-2-2-2-2-222221111-2-2222222-2-21111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ5144444-4-444444-4-4-4-4-444-4-4-2-2-2-2-2-2-2-2-2-2-2-2111122-2-2222222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ5244444-4-4-4-4444-4-4-4-44-4-444-2-2-2-2-2-2-2-2222211112222-2-2-2-222-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ5344-4-44004i−4i-44-4000004i−4i004-24-4-22-424i4i−4i−4i-2-22200−2i2i0000000000−2i−2i2i2i0000000000000000000000000000000000000000
χ5444-4-44004i−4i-44-4000004i−4i00-24-224-42-4−2i−2i2i2i-2-222004i−4i0000000000−2i−2i2i2i0000000000000000000000000000000000000000
χ5544-4-44004i−4i-44-4000004i−4i00-2-2-22-2222−2i−2i2i2i11-1-100−2i2i0000003i−3i3i−3iii−i−i3-33-3000000000000000000000000000000000000
χ5644-4-44004i−4i-44-4000004i−4i00-2-2-22-2222−2i−2i2i2i11-1-100−2i2i000000−3i3i−3i3iii−i−i-33-33000000000000000000000000000000000000
χ5744-4-4400−4i4i-44-400000−4i4i004-24-4-22-42−4i−4i4i4i-2-222002i−2i00000000002i2i−2i−2i0000000000000000000000000000000000000000
χ5844-4-4400−4i4i-44-400000−4i4i00-24-224-42-42i2i−2i−2i-2-22200−4i4i00000000002i2i−2i−2i0000000000000000000000000000000000000000
χ5944-4-4400−4i4i-44-400000−4i4i00-2-2-22-22222i2i−2i−2i11-1-1002i−2i0000003i−3i3i−3i−i−iii-33-33000000000000000000000000000000000000
χ6044-4-4400−4i4i-44-400000−4i4i00-2-2-22-22222i2i−2i−2i11-1-1002i−2i000000−3i3i−3i3i−i−iii3-33-3000000000000000000000000000000000000
χ614-44-444-4004-4-444-4-4000004-2-4422-4-20000-22-224-4000000-22-2-22200000000000000000000000000000000000000000000
χ624-44-444-4004-4-444-4-400000-2-22-2222-223−2323−231-11-1-220023−2300-2211-1-1−33−33−3−333000000000000000000000000000000000000
χ634-44-444-4004-4-444-4-400000-2-22-2222-2−2323−23231-11-1-2200−232300-2211-1-13−33−333−3−3000000000000000000000000000000000000
χ644-44-44-44004-4-4-4-444000004-2-4422-4-20000-22-22-440000002-222-2-200000000000000000000000000000000000000000000
χ654-44-44-44004-4-4-4-44400000-2-22-2222-223−2323−231-11-12-200−2323002-2-1-111−33−3333−3−3000000000000000000000000000000000000
χ664-44-44-44004-4-4-4-44400000-2-22-2222-2−2323−23231-11-12-20023−23002-2-1-1113−33−3−3−333000000000000000000000000000000000000
χ674-4-4440000-4-4400000000044-4-4-444-400004-4-440000000000000000000000000000000000000000000000000000000000
χ684-4-4440000-4-440000000004-2-4-42-2420000-222-200000023−23000000000023−23−2323000000000000000000000000000000000000
χ694-4-4440000-4-440000000004-2-4-42-2420000-222-2000000−23230000000000−232323−23000000000000000000000000000000000000
χ704-4-4440000-4-44000000000-2422-44-2-4−2i32i32i3−2i3-222-200000000000000−2i32i32i3−2i30000000000000000000000000000000000000000
χ714-4-4440000-4-44000000000-2422-44-2-42i3−2i3−2i32i3-222-2000000000000002i3−2i3−2i32i30000000000000000000000000000000000000000
χ724-4-4440000-4-44000000000-2-2222-2-22−2i32i32i3−2i31-1-1100000023−23003i−3i−3i3ii3−i3−i3i3−333−3000000000000000000000000000000000000
χ734-4-4440000-4-44000000000-2-2222-2-22−2i32i32i3−2i31-1-11000000−232300−3i3i3i−3ii3−i3−i3i33−3−33000000000000000000000000000000000000
χ744-4-4440000-4-44000000000-2-2222-2-222i3−2i3−2i32i31-1-1100000023−2300−3i3i3i−3i−i3i3i3−i3−333−3000000000000000000000000000000000000
χ754-4-4440000-4-44000000000-2-2222-2-222i3−2i3−2i32i31-1-11000000−2323003i−3i−3i3i−i3i3i3−i33−3−33000000000000000000000000000000000000
χ766666-36666-3-3-3-3-3-3-36-3-3-3-30000000000000000000000000000000000000022220000000020020000-1-1-1-1-1-1-1-100000000
χ776666-36666-3-3-3-3-3-3-36-3-3-3-300000000000000000000000000000000000000-2-2-2-200000000-200-200001111111100000000
χ786666-366-6-6-3-3-3-3-3-3-3-633330000000000000000000000000000000000000022-2-200000000-20020000-1-1-1-1111100000000
χ796666-366-6-6-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000-2-22200000000200-200001111-1-1-1-100000000
χ806666-3-6-666-3-3-33333-6-3-33300000000000000000000000000000000000000222200000000-200-20000-1-111-1-11100000000
χ816666-3-6-666-3-3-33333-6-3-33300000000000000000000000000000000000000-2-2-2-2000000002002000011-1-111-1-100000000
χ826666-3-6-6-6-6-3-3-33333633-3-30000000000000000000000000000000000000022-2-200000000200-20000-1-11111-1-100000000
χ836666-3-6-6-6-6-3-3-33333633-3-300000000000000000000000000000000000000-2-22200000000-2002000011-1-1-1-11100000000
χ8466-6-6-3006i−6i3-3333−3333−330−3i3i−3i33i3000000000000000000000000000000000000002-22i−2i0000000000000000-113−3−ii−i3i300000000
χ8566-6-6-3006i−6i3-3333−3333−330−3i3i−3i33i300000000000000000000000000000000000000-22−2i2i00000000000000001-1−33i−ii3−i300000000
χ8666-6-6-3006i−6i3-33−3333−33330−3i3i3i3−3i3000000000000000000000000000000000000002-22i−2i0000000000000000-11−33−iii3−i300000000
χ8766-6-6-3006i−6i3-33−3333−33330−3i3i3i3−3i300000000000000000000000000000000000000-22−2i2i00000000000000001-13−3i−i−i3i300000000
χ8866-6-6-300−6i6i3-3333−3333−3303i−3i3i3−3i3000000000000000000000000000000000000002-2−2i2i0000000000000000-113−3i−ii3−i300000000
χ8966-6-6-300−6i6i3-3333−3333−3303i−3i3i3−3i300000000000000000000000000000000000000-222i−2i00000000000000001-1−33−ii−i3i300000000
χ9066-6-6-300−6i6i3-33−3333−333303i−3i−3i33i3000000000000000000000000000000000000002-2−2i2i0000000000000000-11−33i−i−i3i300000000
χ9166-6-6-300−6i6i3-33−3333−333303i−3i−3i33i300000000000000000000000000000000000000-222i−2i00000000000000001-13−3−iii3−i300000000
χ9212-1212-12-612-1200-666-6-6660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9312-1212-12-6-121200-66666-6-60000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-1212-6000066-663−63−63630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-1212-6000066-6−636363−630000000000000000000000000000000000000000000000000000000000000000000000000000000

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