Finite Group Databasebeta

← Group #13150890

Character table — Group #13150890

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order12222234466612121212466121233666666666636666666661212121212121212121212121212121222224444222444446666666612121212121212126121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-11-1-1-11-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-111-11-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-1111-1-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11-1-1-1-1111-1-1111111-1-1-1-1-1-11-1-11
χ61111111-1-1111-1-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11-111-1-1-1111111-1-111-1-1-1-1-111-1
χ71111111-1-1111-1-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-111-1-1-1-1-1-111-1-11111-111-1
χ81111111-1-1111-1-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-11-111-1-111-1-1-1-1-1-11111111-1-11
χ91111-1-11111111111-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1111111-1-1-1-11-1-111-111-1-111-1-1-1-11111-1-111-1-1
χ101111-1-11111111111-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-11111-11-11-1-1-11-1-11111-1-111-1-111-1-1-1-111
χ111111-1-11111111111-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11-1-111-11111-1-1-1-111-1-111-1-111-1-111
χ121111-1-11111111111-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ131111-1-11-1-1111-1-1-1-11-1-111111-1-1-1-1111111-1-111-1-1-1-11-1-111-1-111-1-1-1-111111111-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-1-1-1111-11-1
χ141111-1-11-1-1111-1-1-1-11-1-111111-1-1-1-1111111-1-111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-111-11-11
χ151111-1-11-1-1111-1-1-1-11-1-111111-1-1-1-1111111-1-111-1-1-1-11-1-111-1-111-1-1-1-11111-1-11111-1-111-1-1-11-111111-1-111-1-1-1-111-1-1-11-11
χ161111-1-11-1-1111-1-1-1-11-1-111111-1-1-1-1111111-1-111-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-111111-111-1-11-1-1-1-1-1-1-111111111-1-11-11-1
χ172222222222222222222222-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122002200200020000000-1-1-1-10000-1-1-1-10000
χ182222222222222222222222-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-200-2000-200000001111000011110000
χ19222222222222222222222-12222222-1-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000002202020000000000000000-1-1-1-1
χ20222222222222222222222-12222222-1-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-20-20-200000000000000001111
χ212222222-2-2222-2-2-2-2-222-2-22-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-11111-2-2-2-2111111112200-2-2002000-20000000-1-1-1-1000011110000
χ222222222-2-2222-2-2-2-2-222-2-22-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-11111-2-2-2-211111111-2-2002200-20002000000011110000-1-1-1-10000
χ232222222-2-2222-2-2-2-2-222-2-2-12222222-1-1-12-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000002-20-2020000000000000000-111-1
χ242222222-2-2222-2-2-2-2-222-2-2-12222222-1-1-12-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000000000-22020-200000000000000001-1-11
χ252222-2-22222222222-2-2-2-2-22-1-11111-1222-1-1-2-2-1-11111-1-1-11122-2-2-1-1-1-1111122002200-2000-20000000-1-1110000-1-1110000
χ262222-2-22222222222-2-2-2-2-22-1-11111-1222-1-1-2-2-1-11111-1-1-11122-2-2-1-1-1-11111-2-200-2-20020002000000011-1-1000011-1-10000
χ272222-2-22222222222-2-2-2-2-2-122-2-2-2-22-1-1-12-111-1-11111-122-2-2-1-111-1-1-1-1111100000000002-2020-20000000000000000-1-111
χ282222-2-22222222222-2-2-2-2-2-122-2-2-2-22-1-1-12-111-1-11111-122-2-2-1-111-1-1-1-111110000000000-220-202000000000000000011-1-1
χ292222-2-22-2-2222-2-2-2-22-2-2222-1-11111-1222-1-1-2-2-1-11111-111-1-1-2-2221111-1-1-1-12200-2-200-200020000000-1-111000011-1-10000
χ302222-2-22-2-2222-2-2-2-22-2-2222-1-11111-1222-1-1-2-2-1-11111-111-1-1-2-2221111-1-1-1-1-2-20022002000-2000000011-1-10000-1-1110000
χ312222-2-22-2-2222-2-2-2-22-2-222-122-2-2-2-22-1-1-12-111-1-11111-1-2-22211-1-11111-1-1-1-10000000000220-20-20000000000000000-11-11
χ322222-2-22-2-2222-2-2-2-22-2-222-122-2-2-2-22-1-1-12-111-1-11111-1-2-22211-1-11111-1-1-1-10000000000-2-2020200000000000000001-11-1
χ3322-2-20022i−2i2-2-22i2i−2i−2i000002220000-22-2-2-22002-20000-22i−2i002i−2i002i2i−2i−2i00002-2002i−2i000000000000002-20000002i−2i000000
χ3422-2-20022i−2i2-2-22i2i−2i−2i000002220000-22-2-2-22002-20000-22i−2i002i−2i002i2i−2i−2i0000-2200−2i2i00000000000000-22000000−2i2i000000
χ3522-2-20022i−2i2-2-22i2i−2i−2i000002-1-1−i3−i3i3i312-2-21-100-11−i3−i3i3i31−ii3−32i−2i00−i−iii33−3−32-2002i−2i00000000000000-11−i3i30000−ii3−30000
χ3622-2-20022i−2i2-2-22i2i−2i−2i000002-1-1−i3−i3i3i312-2-21-100-11−i3−i3i3i31−ii3−32i−2i00−i−iii33−3−3-2200−2i2i000000000000001-1i3−i30000i−i−330000
χ3722-2-20022i−2i2-2-22i2i−2i−2i000002-1-1i3i3−i3−i312-2-21-100-11i3i3−i3−i31−ii−332i−2i00−i−iii−3−3332-2002i−2i00000000000000-11i3−i30000−ii−330000
χ3822-2-20022i−2i2-2-22i2i−2i−2i000002-1-1i3i3−i3−i312-2-21-100-11i3i3−i3−i31−ii−332i−2i00−i−iii−3−333-2200−2i2i000000000000001-1−i3i30000i−i3−30000
χ3922-2-2002−2i2i2-2-2−2i−2i2i2i000002220000-22-2-2-22002-20000-2−2i2i00−2i2i00−2i−2i2i2i00002-200−2i2i000000000000002-2000000−2i2i000000
χ4022-2-2002−2i2i2-2-2−2i−2i2i2i000002220000-22-2-2-22002-20000-2−2i2i00−2i2i00−2i−2i2i2i0000-22002i−2i00000000000000-220000002i−2i000000
χ4122-2-2002−2i2i2-2-2−2i−2i2i2i000002-1-1−i3−i3i3i312-2-21-100-11−i3−i3i3i31i−i−33−2i2i00ii−i−i−3−3332-200−2i2i00000000000000-11−i3i30000i−i−330000
χ4222-2-2002−2i2i2-2-2−2i−2i2i2i000002-1-1−i3−i3i3i312-2-21-100-11−i3−i3i3i31i−i−33−2i2i00ii−i−i−3−333-22002i−2i000000000000001-1i3−i30000−ii3−30000
χ4322-2-2002−2i2i2-2-2−2i−2i2i2i000002-1-1i3i3−i3−i312-2-21-100-11i3i3−i3−i31i−i3−3−2i2i00ii−i−i33−3−32-200−2i2i00000000000000-11i3−i30000i−i3−30000
χ4422-2-2002−2i2i2-2-2−2i−2i2i2i000002-1-1i3i3−i3−i312-2-21-100-11i3i3−i3−i31i−i3−3−2i2i00ii−i−i33−3−3-22002i−2i000000000000001-1−i3i30000−ii−330000
χ452-2-222-2200-2-22000002-20022-22-22-22-2-22-222-2-2-22-22-220000000000000000002-2002-2000000002-20000002-20000000000
χ462-2-222-2200-2-22000002-20022-22-22-22-2-22-222-2-2-22-22-22000000000000000000-2200-2200000000-22000000-220000000000
χ472-2-22-22200-2-2200000-220022-2-22-222-2-22-22-22-2-2-22-2220000000000000000002-200-22000000002-2000000-220000000000
χ482-2-22-22200-2-2200000-220022-2-22-222-2-22-22-22-2-2-22-222000000000000000000-22002-200000000-220000002-20000000000
χ49444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000
χ504444444-4-4444-4-4-4-4-444-4-4-2-2-2-2-2-2-2-2-2-2-2-21-2-2111111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ514444-4-44444444444-4-4-4-4-4-2-2-22222-2-2-2-2-212211-1-1-1-11-2-222-2-2221111-1-1-1-1000000000000000000000000000000000000
χ524444-4-44-4-4444-4-4-4-44-4-444-2-2-22222-2-2-2-2-212211-1-1-1-1122-2-222-2-2-1-1-1-11111000000000000000000000000000000000000
χ5344-4-40044i−4i4-4-44i4i−4i−4i00000-2440000-4-222-4-200-22000024i−4i00−2i2i00−2i−2i2i2i0000000000000000000000000000000000000000
χ5444-4-40044i−4i4-4-44i4i−4i−4i00000-2-2-2−2i3−2i32i32i32-22221001-1i3i3−i3−i3-1−2i2i23−23−2i2i00ii−i−i−3−333000000000000000000000000000000000000
χ5544-4-40044i−4i4-4-44i4i−4i−4i00000-2-2-22i32i3−2i3−2i32-22221001-1−i3−i3i3i3-1−2i2i−2323−2i2i00ii−i−i33−3−3000000000000000000000000000000000000
χ5644-4-4004−4i4i4-4-4−4i−4i4i4i00000-2440000-4-222-4-200-2200002−4i4i002i−2i002i2i−2i−2i0000000000000000000000000000000000000000
χ5744-4-4004−4i4i4-4-4−4i−4i4i4i00000-2-2-2−2i3−2i32i32i32-22221001-1i3i3−i3−i3-12i−2i−23232i−2i00−i−iii33−3−3000000000000000000000000000000000000
χ5844-4-4004−4i4i4-4-4−4i−4i4i4i00000-2-2-22i32i3−2i3−2i32-22221001-1−i3−i3i3i3-12i−2i23−232i−2i00−i−iii−3−333000000000000000000000000000000000000
χ594-44-400400-44-400000000044-40000-4-44-44400-440000-40000000000000000000000000000000000000000000000000000
χ604-44-400400-44-40000000004-22−2i32i32i3−2i32-44-4-2-2002-2−2i32i32i3−2i320000000000000000000000000000000000000000000000000000
χ614-44-400400-44-40000000004-222i3−2i3−2i32i32-44-4-2-2002-22i3−2i3−2i32i320000000000000000000000000000000000000000000000000000
χ624-44-400400-44-4000000000-24-40000-42-224-2002-20000200000023−23000023−2323−23000000000000000000000000000000000000
χ634-44-400400-44-4000000000-24-40000-42-224-2002-200002000000−23230000−2323−2323000000000000000000000000000000000000
χ644-44-400400-44-4000000000-2-22−2i32i32i3−2i322-22-2100-11i3−i3−i3i3-100000023−233i−3i3i−3i−33−33000000000000000000000000000000000000
χ654-44-400400-44-4000000000-2-22−2i32i32i3−2i322-22-2100-11i3−i3−i3i3-1000000−2323−3i3i−3i3i3−33−3000000000000000000000000000000000000
χ664-44-400400-44-4000000000-2-222i3−2i3−2i32i322-22-2100-11−i3i3i3−i3-100000023−23−3i3i−3i3i−33−33000000000000000000000000000000000000
χ674-44-400400-44-4000000000-2-222i3−2i3−2i32i322-22-2100-11−i3i3i3−i3-1000000−23233i−3i3i−3i3−33−3000000000000000000000000000000000000
χ684-4-444-4400-4-44000004-4004-22-22-22-2-4-442-24-422-22-22-20000000000000000000000000000000000000000000000000000
χ694-4-444-4400-4-44000004-400-24-44-44-4422-2-4-2-2222-22-22-20000000000000000000000000000000000000000000000000000
χ704-4-444-4400-4-44000004-400-2-22-22-22-222-221-22-1-11-11-11000000003-3-33-333-3000000000000000000000000000000000000
χ714-4-444-4400-4-44000004-400-2-22-22-22-222-221-22-1-11-11-1100000000-333-33-3-33000000000000000000000000000000000000
χ724-4-44-44400-4-4400000-44004-222-22-2-2-4-442-2-44222-22-2-20000000000000000000000000000000000000000000000000000
χ734-4-44-44400-4-4400000-4400-24-4-44-44422-2-4-22-2222-22-2-20000000000000000000000000000000000000000000000000000
χ744-4-44-44400-4-4400000-4400-2-222-22-2-222-2212-2-1-1-11-111000000003-3-333-3-33000000000000000000000000000000000000
χ754-4-44-44400-4-4400000-4400-2-222-22-2-222-2212-2-1-1-11-11100000000-333-3-333-3000000000000000000000000000000000000
χ76666666-366-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000000022002202000020-1-1-1-10000-1-1-1-100000000
χ77666666-366-3-3-3-3-3-3-36-3-3-3-30000000000000000000000000000000000000000-2-200-2-20-20000-2011110000111100000000
χ78666666-3-6-6-3-3-33333-6-3-33300000000000000000000000000000000000000002200220-20000-20-1-1110000-1-11100000000
χ79666666-3-6-6-3-3-33333-6-3-3330000000000000000000000000000000000000000-2-200-2-20200002011-1-1000011-1-100000000
χ806666-6-6-366-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000002200-2-20-2000020-1-111000011-1-100000000
χ816666-6-6-366-3-3-3-3-3-3-3-633330000000000000000000000000000000000000000-2-20022020000-2011-1-10000-1-11100000000
χ826666-6-6-3-6-6-3-3-33333633-3-300000000000000000000000000000000000000002200-2-2020000-20-1-1-1-10000111100000000
χ836666-6-6-3-6-6-3-3-33333633-3-30000000000000000000000000000000000000000-2-200220-200002011110000-1-1-1-100000000
χ846-6-666-6-30033-3−3i33i3−3i33i30-33−3i33i300000000000000000000000000000000000000002-2002-200000000-11−i3i30000-11−i3i300000000
χ856-6-666-6-30033-3−3i33i3−3i33i30-33−3i33i30000000000000000000000000000000000000000-2200-22000000001-1i3−i300001-1i3−i300000000
χ866-6-666-6-30033-33i3−3i33i3−3i30-333i3−3i300000000000000000000000000000000000000002-2002-200000000-11i3−i30000-11i3−i300000000
χ876-6-666-6-30033-33i3−3i33i3−3i30-333i3−3i30000000000000000000000000000000000000000-2200-22000000001-1−i3i300001-1−i3i300000000
χ886-6-66-66-30033-3−3i33i3−3i33i303-33i3−3i300000000000000000000000000000000000000002-200-2200000000-11i3−i300001-1−i3i300000000
χ896-6-66-66-30033-3−3i33i3−3i33i303-33i3−3i30000000000000000000000000000000000000000-22002-2000000001-1−i3i30000-11i3−i300000000
χ906-6-66-66-30033-33i3−3i33i3−3i303-3−3i33i300000000000000000000000000000000000000002-200-2200000000-11−i3i300001-1i3−i300000000
χ916-6-66-66-30033-33i3−3i33i3−3i303-3−3i33i30000000000000000000000000000000000000000-22002-2000000001-1i3−i30000-11−i3i300000000
χ921212-12-1200-612i−12i-666−6i−6i6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000
χ931212-12-1200-6−12i12i-6666i6i−6i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-1212-1200-6006-6663−63−63630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-1212-1200-6006-66−636363−630000000000000000000000000000000000000000000000000000000000000000000000000000000

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