Finite Group Databasebeta

← Group #13150735

Character table — Group #13150735

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order1222223446666666412121212336666661212121236666666666612121212121212121212121212124444444422244444661212121212121212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1-111-1-1-1-11111-1-1-1-111-1-1111-11-1
χ61111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-1-1-111-1-1-1-1-1-1111111-1-111-11-11
χ71111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1111-11-1111111-1-1-1-1-1-111-1-1-11-11
χ81111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1111-1-1-1-11111-1-111-1-11-11-1
χ91111-1-11111-1-1-1-111-111-1-11111111111111-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-111-11-11-1-11-1-1-111-1-111-1-11111-1-11-1-11
χ101111-1-11111-1-1-1-111-111-1-11111111111111-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-1111111-1-1-111-1
χ111111-1-11111-1-1-1-111-111-1-11111111111111-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111111-11-1-11-1-11111-1-111-1-1-1-1-1-111-111-1
χ121111-1-11111-1-1-1-111-111-1-11111111111111-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11-11111-1-111-1-111-1-1-1-1111-1-11
χ131111-1-11-1-11-1-1-1-1111-1-11111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1
χ141111-1-11-1-11-1-1-1-1111-1-11111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-1-1-1111111-1-1-1-1111-1-1-1111-111-1-11111-1-111-1-1-1-1-1-111
χ151111-1-11-1-11-1-1-1-1111-1-11111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-1-1-11111-1-11111-1-1-1-1-11-1111-1-111-1-1-1-111-1-11111-1-111
χ161111-1-11-1-11-1-1-1-1111-1-11111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-11111-11111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ172222222222222222222222-1-1-1222-12222-122-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000022002200000000000000000-1-1-1-1
χ182222222222222222222222-1-1-1222-12222-122-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000-2-200-2-2000000000000000001111
χ19222222222222222222222-1222-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12200220020020000-1-100000000-1-1-1-1-1-10000
χ20222222222222222222222-1222-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-200-2-200-200-2000011000000001111110000
χ212222222-2-22222222-2-2-2-2-22-1-1-1222-1-2-2-2-2-122-1-1-1-1-1-1-1-1-11111-2-2111111110000000002-2002-200000000000000000-11-11
χ222222222-2-22222222-2-2-2-2-22-1-1-1222-1-2-2-2-2-122-1-1-1-1-1-1-1-1-11111-2-211111111000000000-2200-22000000000000000001-11-1
χ232222222-2-22222222-2-2-2-2-2-1222-1-1-121111-1-1-122-1-1-1-1-1-1-1-2-2-2-2111111111122002200-200-200001100000000-1-111-1-10000
χ242222222-2-22222222-2-2-2-2-2-1222-1-1-121111-1-1-122-1-1-1-1-1-1-1-2-2-2-21111111111-2-200-2-20020020000-1-10000000011-1-1110000
χ252222-2-22222-2-2-2-222-222-2-22-1-1-1222-12222-1-2-211-1-11111-1-1-111-2-2-1-1-1-111110000000002-200-2200000000000000000-111-1
χ262222-2-22222-2-2-2-222-222-2-22-1-1-1222-12222-1-2-211-1-11111-1-1-111-2-2-1-1-1-11111000000000-22002-2000000000000000001-1-11
χ272222-2-22222-2-2-2-222-222-2-2-1222-1-1-12-1-1-1-1-111-2-2-1-11111-122-2-211-1-1-1-111112200-2-200-200200001100000000-1-1-1-1110000
χ282222-2-22222-2-2-2-222-222-2-2-1222-1-1-12-1-1-1-1-111-2-2-1-11111-122-2-211-1-1-1-11111-2-2002200200-20000-1-1000000001111-1-10000
χ292222-2-22-2-22-2-2-2-2222-2-2222-1-1-1222-1-2-2-2-2-1-2-211-1-11111-111-1-1221111-1-1-1-10000000002200-2-200000000000000000-1-111
χ302222-2-22-2-22-2-2-2-2222-2-2222-1-1-1222-1-2-2-2-2-1-2-211-1-11111-111-1-1221111-1-1-1-1000000000-2-200220000000000000000011-1-1
χ312222-2-22-2-22-2-2-2-2222-2-222-1222-1-1-121111-111-2-2-1-11111-1-2-222-1-11111-1-1-1-12200-2-200200-20000-1-100000000-1-111110000
χ322222-2-22-2-22-2-2-2-2222-2-222-1222-1-1-121111-111-2-2-1-11111-1-2-222-1-11111-1-1-1-1-2-2002200-20020000110000000011-1-1-1-10000
χ3322-2-20022i−2i-200002-202i−2i00222-22-2-2-22i2i−2i−2i200002-20000-22i−2i00002i2i−2i−2i0000002-2002i−2i00000000002-2002i−2i000000000000
χ3422-2-20022i−2i-200002-202i−2i00222-22-2-2-22i2i−2i−2i200002-20000-22i−2i00002i2i−2i−2i000000-2200−2i2i0000000000-2200−2i2i000000000000
χ3522-2-2002−2i2i-200002-20−2i2i00222-22-2-2-2−2i−2i2i2i200002-20000-2−2i2i0000−2i−2i2i2i0000002-200−2i2i00000000002-200−2i2i000000000000
χ3622-2-2002−2i2i-200002-20−2i2i00222-22-2-2-2−2i−2i2i2i200002-20000-2−2i2i0000−2i−2i2i2i000000-22002i−2i0000000000-22002i−2i000000000000
χ372-22-22-2200222-2-2-2-20000022-2-2-22-22000022-22-2-2222-2-2-2000000000000002i−2i002i−2i000000000000000000002i−2i002i−2i0000
χ382-22-22-2200222-2-2-2-20000022-2-2-22-22000022-22-2-2222-2-2-200000000000000−2i2i00−2i2i00000000000000000000−2i2i00−2i2i0000
χ392-22-22-2200222-2-2-2-200000-12-2-21-1123−33−3-1-112-21-1-1-111100003−33−33−333−3−32i−2i002i−2i0000000000−i3i300000000−ii−i3i3−ii0000
χ402-22-22-2200222-2-2-2-200000-12-2-21-1123−33−3-1-112-21-1-1-111100003−33−33−333−3−3−2i2i00−2i2i0000000000i3−i300000000i−ii3−i3i−i0000
χ412-22-22-2200222-2-2-2-200000-12-2-21-112−33−33-1-112-21-1-1-11110000−33−33−33−3−3332i−2i002i−2i0000000000i3−i300000000−iii3−i3−ii0000
χ422-22-22-2200222-2-2-2-200000-12-2-21-112−33−33-1-112-21-1-1-11110000−33−33−33−3−333−2i2i00−2i2i0000000000−i3i300000000i−i−i3i3i−i0000
χ432-22-2-222002-2-222-2-20000022-2-2-22-2200002-22-22-22-2-222-2000000000000002i−2i00−2i2i000000000000000000002i−2i00−2i2i0000
χ442-22-2-222002-2-222-2-20000022-2-2-22-2200002-22-22-22-2-222-200000000000000−2i2i002i−2i00000000000000000000−2i2i002i−2i0000
χ452-22-2-222002-2-222-2-200000-12-2-21-1123−33−3-11-1-221-111-1-110000−333−33−3−3−3332i−2i00−2i2i0000000000i3−i300000000−ii−i3i3i−i0000
χ462-22-2-222002-2-222-2-200000-12-2-21-1123−33−3-11-1-221-111-1-110000−333−33−3−3−333−2i2i002i−2i0000000000−i3i300000000i−ii3−i3−ii0000
χ472-22-2-222002-2-222-2-200000-12-2-21-112−33−33-11-1-221-111-1-1100003−3−33−3333−3−32i−2i00−2i2i0000000000−i3i300000000−iii3−i3i−i0000
χ482-22-2-222002-2-222-2-200000-12-2-21-112−33−33-11-1-221-111-1-1100003−3−33−3333−3−3−2i2i002i−2i0000000000i3−i300000000i−i−i3i3−ii0000
χ49444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-211111111000000000000000000000000000000000000
χ504444444-4-44444444-4-4-4-4-4-2-2-2-2-2-2-2-222221-2-2-2-21111111222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ514444-4-44444-4-4-4-444-444-4-4-2-2-2-2-2-2-2-2-2-2-2-21222211-1-1-1-11-2-222221111-1-1-1-1000000000000000000000000000000000000
χ524444-4-44-4-44-4-4-4-4444-4-444-2-2-2-2-2-2-2-222221222211-1-1-1-1122-2-2-2-2-1-1-1-11111000000000000000000000000000000000000
χ5344-4-40044i−4i-400004-404i−4i004-2-224-4-424i4i−4i−4i-20000-2200002−2i2i0000−2i−2i2i2i0000000000000000000000000000000000000000
χ5444-4-40044i−4i-400004-404i−4i00-244-4-222-4−2i−2i2i2i-20000-22000024i−4i0000−2i−2i2i2i0000000000000000000000000000000000000000
χ5544-4-40044i−4i-400004-404i−4i00-2-2-22-2222−2i−2i2i2i100001-13-33-3-1−2i2i0000ii−i−i3i−3i3i−3i000000000000000000000000000000000000
χ5644-4-40044i−4i-400004-404i−4i00-2-2-22-2222−2i−2i2i2i100001-1-33-33-1−2i2i0000ii−i−i−3i3i−3i3i000000000000000000000000000000000000
χ5744-4-4004−4i4i-400004-40−4i4i004-2-224-4-42−4i−4i4i4i-20000-22000022i−2i00002i2i−2i−2i0000000000000000000000000000000000000000
χ5844-4-4004−4i4i-400004-40−4i4i00-244-4-222-42i2i−2i−2i-20000-2200002−4i4i00002i2i−2i−2i0000000000000000000000000000000000000000
χ5944-4-4004−4i4i-400004-40−4i4i00-2-2-22-22222i2i−2i−2i100001-13-33-3-12i−2i0000−i−iii−3i3i−3i3i000000000000000000000000000000000000
χ6044-4-4004−4i4i-400004-40−4i4i00-2-2-22-22222i2i−2i−2i100001-1-33-33-12i−2i0000−i−iii3i−3i3i−3i000000000000000000000000000000000000
χ614-44-44-4400444-4-4-4-4000004-222-44-4-20000-24-4-222-2-2-222200000000000000000000000000000000000000000000000000
χ624-44-44-4400444-4-4-4-400000-2-2222-22-223−2323−231-22-22-1111-1-1-1000023−23−33−33−3−333000000000000000000000000000000000000
χ634-44-44-4400444-4-4-4-400000-2-2222-22-2−2323−23231-22-22-1111-1-1-10000−23233−33−333−3−3000000000000000000000000000000000000
χ644-44-4-444004-4-444-4-4000004-222-44-4-20000-2-442-22-222-2-2200000000000000000000000000000000000000000000000000
χ654-44-4-444004-4-444-4-400000-2-2222-22-223−2323−2312-22-2-11-1-111-10000−2323−33−3333−3−3000000000000000000000000000000000000
χ664-44-4-444004-4-444-4-400000-2-2222-22-2−2323−232312-22-2-11-1-111-1000023−233−33−3−3−333000000000000000000000000000000000000
χ674-4-4400400-40000-440000044-44-4-44-4000040000-4-40000400000000000000000000000000000000000000000000000000
χ684-4-4400400-40000-44000004-22-2-4-4420000-20000220000-200−2i32i3000000−2i32i32i3−2i3000000000000000000000000000000000000
χ694-4-4400400-40000-44000004-22-2-4-4420000-20000220000-2002i3−2i30000002i3−2i3−2i32i3000000000000000000000000000000000000
χ704-4-4400400-40000-4400000-24-4422-2-4−2i32i32i3−2i3-20000220000-2000000−2i32i32i3−2i30000000000000000000000000000000000000000
χ714-4-4400400-40000-4400000-24-4422-2-42i3−2i3−2i32i3-20000220000-20000002i3−2i3−2i32i30000000000000000000000000000000000000000
χ724-4-4400400-40000-4400000-2-22-222-22−2i32i32i3−2i310000-1-13-3-331002i3−2i300i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000000000
χ734-4-4400400-40000-4400000-2-22-222-22−2i32i32i3−2i310000-1-1-333-3100−2i32i300i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000
χ744-4-4400400-40000-4400000-2-22-222-222i3−2i3−2i32i310000-1-13-3-33100−2i32i300−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000000000
χ754-4-4400400-40000-4400000-2-22-222-222i3−2i3−2i32i310000-1-1-333-31002i3−2i300−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000
χ76666666-366-3-3-3-3-3-3-36-3-3-3-300000000000000000000000000000000000000002200220000200200-1-1-1-1-1-1-1-10000000000
χ77666666-366-3-3-3-3-3-3-36-3-3-3-30000000000000000000000000000000000000000-2-200-2-20000-200-200111111110000000000
χ78666666-3-6-6-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000002200-2-20000200-200-1-1-1-111110000000000
χ79666666-3-6-6-3-3-3-3-3-3-3-633330000000000000000000000000000000000000000-2-200220000-2002001111-1-1-1-10000000000
χ806666-6-6-366-33333-3-3-6-3-33300000000000000000000000000000000000000002200220000-200-200-1-111-1-1110000000000
χ816666-6-6-366-33333-3-3-6-3-3330000000000000000000000000000000000000000-2-200-2-2000020020011-1-111-1-10000000000
χ826666-6-6-3-6-6-33333-3-3633-3-300000000000000000000000000000000000000002200-2-20000-200200-1-11111-1-10000000000
χ836666-6-6-3-6-6-33333-3-3633-3-30000000000000000000000000000000000000000-2-200220000200-20011-1-1-1-1110000000000
χ8466-6-600-36i−6i3−3i33i3−3i33i3-330−3i3i33−3300000000000000000000000000000000000000002-2002i−2i0000000000-11−i3i3−ii3−30000000000
χ8566-6-600-36i−6i3−3i33i3−3i33i3-330−3i3i33−330000000000000000000000000000000000000000-2200−2i2i00000000001-1i3−i3i−i−330000000000
χ8666-6-600-36i−6i33i3−3i33i3−3i3-330−3i3i−333300000000000000000000000000000000000000002-2002i−2i0000000000-11i3−i3−ii−330000000000
χ8766-6-600-36i−6i33i3−3i33i3−3i3-330−3i3i−33330000000000000000000000000000000000000000-2200−2i2i00000000001-1−i3i3i−i3−30000000000
χ8866-6-600-3−6i6i3−3i33i3−3i33i3-3303i−3i−333300000000000000000000000000000000000000002-200−2i2i0000000000-11−i3i3i−i−330000000000
χ8966-6-600-3−6i6i3−3i33i3−3i33i3-3303i−3i−33330000000000000000000000000000000000000000-22002i−2i00000000001-1i3−i3−ii3−30000000000
χ9066-6-600-3−6i6i33i3−3i33i3−3i3-3303i−3i33−3300000000000000000000000000000000000000002-200−2i2i0000000000-11i3−i3i−i3−30000000000
χ9166-6-600-3−6i6i33i3−3i33i3−3i3-3303i−3i33−330000000000000000000000000000000000000000-22002i−2i00000000001-1−i3i3−ii−330000000000
χ9212-1212-1212-12-600-6-6-666660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9312-1212-12-1212-600-666-6-6660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-121200-6006−6i36i36i3−6i36-60000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-121200-60066i3−6i3−6i36i36-60000000000000000000000000000000000000000000000000000000000000000000000000000000

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