Finite Group Databasebeta

← Group #13150854

Character table — Group #13150854

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order122222344666666641212121233666666121212123666666666661212121212121212121212121212224444442244444466661212121212121212121212126121212
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
χ51111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-11-1-111111-1-1-1-11111-1-1-1-1-111-1
χ61111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11-11111-1-1-1-1-1-1-1-111111-1-11
χ71111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-11-1-1-1-1-1-111111111-1-1-1-11-1-11
χ81111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-111-1
χ91111-1-11111-1-1-1-111-111-1-11111111111111-1-1-1-111-1-1-1-11-1-111-1-11111-1-1-1-1111111-1-1-1-11-11-11-111-1-111-1-111-1-111-1-1-11-11
χ101111-1-11111-1-1-1-111-111-1-11111111111111-1-1-1-111-1-1-1-11-1-111-1-11111-1-1-1-111-1-11111-11-11-1-1-1111-1-111-1-1-1-111-1-1111-11-1
χ111111-1-11111-1-1-1-111-111-1-11111111111111-1-1-1-111-1-1-1-11-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1111-1-111-1-11111-1-111-1-11-11-1
χ121111-1-11111-1-1-1-111-111-1-11111111111111-1-1-1-111-1-1-1-11-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-111-1-111-1-111-1-111-11-11
χ131111-1-11-1-11-1-1-1-1111-1-11111111111-1-1-1-11-1-1-1-111-1-1-1-1111-1-111-1-1-1-111111111-1-1-1-1-11-1111-1-111-1-1-1-11111-1-1-1-11111-1-1
χ141111-1-11-1-11-1-1-1-1111-1-11111111111-1-1-1-11-1-1-1-111-1-1-1-1111-1-111-1-1-1-1111111-1-1-1-111-1-11-1-111111-1-1-1-111-1-11111-1-1-1-111
χ151111-1-11-1-11-1-1-1-1111-1-11111111111-1-1-1-11-1-1-1-111-1-1-1-1111-1-111-1-1-1-11111-1-11111-1-11-111-1-1-11-1-11111-1-111-1-1-1-111-1-111
χ161111-1-11-1-11-1-1-1-1111-1-11111111111-1-1-1-11-1-1-1-111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1111111-1-11-11-1-1-11111-1-1-1-11111-1-111-1-1
χ172222222222222222222222-12-1-1-1222222-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000022020020000000000000000-1-1-1-1
χ182222222222222222222222-12-1-1-1222222-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-20-200-200000000000000001111
χ19222222222222222222222-12-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1002200220002002000000000-1-1-1-1-1-1-1-10000
χ20222222222222222222222-12-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-200-2-2000-200-2000000000111111110000
χ212222222-2-22222222-2-2-2-2-22-12-1-1-122-2-2-2-2-122-1-1-1-1-1-1-1-1-1-2-2111111111111000000000220-200-20000000000000000-111-1
χ222222222-2-22222222-2-2-2-2-22-12-1-1-122-2-2-2-2-122-1-1-1-1-1-1-1-1-1-2-2111111111111000000000-2-20200200000000000000001-1-11
χ232222222-2-22222222-2-2-2-2-2-12-1222-1-11111-1-1-122-1-1-1-1-1-1-111-2-2-2-21111111100220022000-200-2000000000-1-1-1-111110000
χ242222222-2-22222222-2-2-2-2-2-12-1222-1-11111-1-1-122-1-1-1-1-1-1-111-2-2-2-21111111100-2-200-2-200020020000000001111-1-1-1-10000
χ252222-2-22222-2-2-2-222-222-2-22-12-1-1-1222222-1-2-211-1-11111-1-2-2-1-111-1-1-1-111110000000002-20-20020000000000000000-11-11
χ262222-2-22222-2-2-2-222-222-2-22-12-1-1-1222222-1-2-211-1-11111-1-2-2-1-111-1-1-1-11111000000000-220200-200000000000000001-11-1
χ272222-2-22222-2-2-2-222-222-2-2-12-1222-1-1-1-1-1-1-111-2-2-1-11111-11122-2-2-1-1-1-11111002200-2-2000-2002000000000-1-111-1-1110000
χ282222-2-22222-2-2-2-222-222-2-2-12-1222-1-1-1-1-1-1-111-2-2-1-11111-11122-2-2-1-1-1-1111100-2-20022000200-200000000011-1-111-1-10000
χ292222-2-22-2-22-2-2-2-2222-2-2222-12-1-1-122-2-2-2-2-1-2-211-1-11111-12211-1-11111-1-1-1-10000000002-20200-20000000000000000-1-111
χ302222-2-22-2-22-2-2-2-2222-2-2222-12-1-1-122-2-2-2-2-1-2-211-1-11111-12211-1-11111-1-1-1-1000000000-220-2002000000000000000011-1-1
χ312222-2-22-2-22-2-2-2-2222-2-222-12-1222-1-11111-111-2-2-1-11111-1-1-1-2-2221111-1-1-1-1002200-2-2000200-2000000000-1-11111-1-10000
χ322222-2-22-2-22-2-2-2-2222-2-222-12-1222-1-11111-111-2-2-1-11111-1-1-1-2-2221111-1-1-1-100-2-20022000-200200000000011-1-1-1-1110000
χ3322-2-22-2200-222-2-22-200000222-2-22-2-2000022-22-2-2-222-2-2200000000000000002i−2i002i−2i00000000000000002i−2i2i−2i00000000
χ3422-2-22-2200-222-2-22-200000222-2-22-2-2000022-22-2-2-222-2-220000000000000000−2i2i00−2i2i0000000000000000−2i2i−2i2i00000000
χ3522-2-22-2200-222-2-22-200000-12-1-2-2211−i3−i3i3i3-1-112-211-1-111-1−i3i30000−i3−i3i3i3−i3−i3i3i3002i−2i002i−2i0000000000000000−ii−ii3−33−30000
χ3622-2-22-2200-222-2-22-200000-12-1-2-2211−i3−i3i3i3-1-112-211-1-111-1−i3i30000−i3−i3i3i3−i3−i3i3i300−2i2i00−2i2i0000000000000000i−ii−i−33−330000
χ3722-2-22-2200-222-2-22-200000-12-1-2-2211i3i3−i3−i3-1-112-211-1-111-1i3−i30000i3i3−i3−i3i3i3−i3−i3002i−2i002i−2i0000000000000000−ii−ii−33−330000
χ3822-2-22-2200-222-2-22-200000-12-1-2-2211i3i3−i3−i3-1-112-211-1-111-1i3−i30000i3i3−i3−i3i3i3−i3−i300−2i2i00−2i2i0000000000000000i−ii−i3−33−30000
χ3922-2-2-22200-2-2-2222-200000222-2-22-2-200002-22-22-2-2-2-222200000000000000002i−2i00−2i2i00000000000000002i−2i−2i2i00000000
χ4022-2-2-22200-2-2-2222-200000222-2-22-2-200002-22-22-2-2-2-22220000000000000000−2i2i002i−2i0000000000000000−2i2i2i−2i00000000
χ4122-2-2-22200-2-2-2222-200000-12-1-2-2211−i3−i3i3i3-11-1-221111-1-1-1i3−i30000−i3−i3i3i3i3i3−i3−i3002i−2i00−2i2i0000000000000000−iii−i3−3−330000
χ4222-2-2-22200-2-2-2222-200000-12-1-2-2211−i3−i3i3i3-11-1-221111-1-1-1i3−i30000−i3−i3i3i3i3i3−i3−i300−2i2i002i−2i0000000000000000i−i−ii−333−30000
χ4322-2-2-22200-2-2-2222-200000-12-1-2-2211i3i3−i3−i3-11-1-221111-1-1-1−i3i30000i3i3−i3−i3−i3−i3i3i3002i−2i00−2i2i0000000000000000−iii−i−333−30000
χ4422-2-2-22200-2-2-2222-200000-12-1-2-2211i3i3−i3−i3-11-1-221111-1-1-1−i3i30000i3i3−i3−i3−i3−i3i3i300−2i2i002i−2i0000000000000000i−i−ii3−3−330000
χ452-22-20022i−2i20000-2-202i−2i0022-22-2-22-22i−2i2i−2i200002-20000-2002i−2i002i−2i2i−2i00002-2002i−2i00000000002-2002i−2i00000000000000
χ462-22-20022i−2i20000-2-202i−2i0022-22-2-22-22i−2i2i−2i200002-20000-2002i−2i002i−2i2i−2i0000-2200−2i2i0000000000-2200−2i2i00000000000000
χ472-22-2002−2i2i20000-2-20−2i2i0022-22-2-22-2−2i2i−2i2i200002-20000-200−2i2i00−2i2i−2i2i00002-200−2i2i00000000002-200−2i2i00000000000000
χ482-22-2002−2i2i20000-2-20−2i2i0022-22-2-22-2−2i2i−2i2i200002-20000-200−2i2i00−2i2i−2i2i0000-22002i−2i0000000000-22002i−2i00000000000000
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
χ514444-4-44444-4-4-4-444-444-4-4-2-2-2-2-2-2-2-2-2-2-2-21222211-1-1-1-1122-2-2221111-1-1-1-1000000000000000000000000000000000000
χ524444-4-44-4-44-4-4-4-4444-4-444-2-2-2-2-2-2-2-222221222211-1-1-1-11-2-222-2-2-1-1-1-11111000000000000000000000000000000000000
χ5344-4-44-4400-444-4-44-4000004-2422-2-4-40000-24-4-2222-2-222-200000000000000000000000000000000000000000000000000
χ5444-4-44-4400-444-4-44-400000-2-2-222-222−2i3−2i32i32i31-22-22-1-111-1-11−2i32i30000i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ5544-4-44-4400-444-4-44-400000-2-2-222-2222i32i3−2i3−2i31-22-22-1-111-1-112i3−2i30000−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000
χ5644-4-4-44400-4-4-4444-4000004-2422-2-4-40000-2-442-22222-2-2-200000000000000000000000000000000000000000000000000
χ5744-4-4-44400-4-4-4444-400000-2-2-222-222−2i3−2i32i32i312-22-2-1-1-1-11112i3−2i30000i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000
χ5844-4-4-44400-4-4-4444-400000-2-2-222-2222i32i3−2i3−2i312-22-2-1-1-1-1111−2i32i30000−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000
χ594-44-40044i−4i40000-4-404i−4i004-2-4-2224-44i−4i4i−4i-20000-220000200−2i2i00−2i2i−2i2i0000000000000000000000000000000000000000
χ604-44-40044i−4i40000-4-404i−4i00-2424-4-4-22−2i2i−2i2i-20000-2200002004i−4i00−2i2i−2i2i0000000000000000000000000000000000000000
χ614-44-40044i−4i40000-4-404i−4i00-2-22-222-22−2i2i−2i2i100001-13-33-3-100−2i2i00i−ii−i3i−3i3i−3i000000000000000000000000000000000000
χ624-44-40044i−4i40000-4-404i−4i00-2-22-222-22−2i2i−2i2i100001-1-33-33-100−2i2i00i−ii−i−3i3i−3i3i000000000000000000000000000000000000
χ634-44-4004−4i4i40000-4-40−4i4i004-2-4-2224-4−4i4i−4i4i-20000-2200002002i−2i002i−2i2i−2i0000000000000000000000000000000000000000
χ644-44-4004−4i4i40000-4-40−4i4i00-2424-4-4-222i−2i2i−2i-20000-220000200−4i4i002i−2i2i−2i0000000000000000000000000000000000000000
χ654-44-4004−4i4i40000-4-40−4i4i00-2-22-222-222i−2i2i−2i100001-13-33-3-1002i−2i00−ii−ii−3i3i−3i3i000000000000000000000000000000000000
χ664-44-4004−4i4i40000-4-40−4i4i00-2-22-222-222i−2i2i−2i100001-1-33-33-1002i−2i00−ii−ii3i−3i3i−3i000000000000000000000000000000000000
χ674-4-4400400-40000-440000044-4-44-4-44000040000-440000-400000000000000000000000000000000000000000000000000
χ684-4-4400400-40000-44000004-2-42-22-440000-200002-200002000023−23000023−23−2323000000000000000000000000000000000000
χ694-4-4400400-40000-44000004-2-42-22-440000-200002-2000020000−23230000−232323−23000000000000000000000000000000000000
χ704-4-4400400-40000-4400000-242-44-42-223−23−2323-200002-20000200000023−23−23230000000000000000000000000000000000000000
χ714-4-4400400-40000-4400000-242-44-42-2−232323−23-200002-200002000000−232323−230000000000000000000000000000000000000000
χ724-4-4400400-40000-4400000-2-222-222-223−23−232310000-113-3-33-10000−2323−333−33−3−33000000000000000000000000000000000000
χ734-4-4400400-40000-4400000-2-222-222-223−23−232310000-11-333-3-1000023−23−333−3−333−3000000000000000000000000000000000000
χ744-4-4400400-40000-4400000-2-222-222-2−232323−2310000-113-3-33-1000023−233−3−33−333−3000000000000000000000000000000000000
χ754-4-4400400-40000-4400000-2-222-222-2−232323−2310000-11-333-3-10000−23233−3−333−3−33000000000000000000000000000000000000
χ76666666-366-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000002200220020000200-1-1-1-1-1-1-1-1000000000000
χ77666666-366-3-3-3-3-3-3-36-3-3-3-300000000000000000000000000000000000000-2-200-2-200-20000-20011111111000000000000
χ78666666-3-6-6-3-3-3-3-3-3-3-63333000000000000000000000000000000000000002200-2-20020000-200-1-1-1-11111000000000000
χ79666666-3-6-6-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000-2-2002200-200002001111-1-1-1-1000000000000
χ806666-6-6-366-33333-3-3-6-3-3330000000000000000000000000000000000000022002200-20000-200-1-111-1-111000000000000
χ816666-6-6-366-33333-3-3-6-3-33300000000000000000000000000000000000000-2-200-2-2002000020011-1-111-1-1000000000000
χ826666-6-6-3-6-6-33333-3-3633-3-3000000000000000000000000000000000000002200-2-200-20000200-1-11111-1-1000000000000
χ836666-6-6-3-6-6-33333-3-3633-3-300000000000000000000000000000000000000-2-200220020000-20011-1-1-1-111000000000000
χ846-66-600-36i−6i-3−3i33i3−3i33i3330−3i3i33−33000000000000000000000000000000000000002-2002i−2i0000000000-11−i3i3−ii3−3000000000000
χ856-66-600-36i−6i-3−3i33i3−3i33i3330−3i3i33−3300000000000000000000000000000000000000-2200−2i2i00000000001-1i3−i3i−i−33000000000000
χ866-66-600-36i−6i-33i3−3i33i3−3i3330−3i3i−3333000000000000000000000000000000000000002-2002i−2i0000000000-11i3−i3−ii−33000000000000
χ876-66-600-36i−6i-33i3−3i33i3−3i3330−3i3i−333300000000000000000000000000000000000000-2200−2i2i00000000001-1−i3i3i−i3−3000000000000
χ886-66-600-3−6i6i-3−3i33i3−3i33i33303i−3i−3333000000000000000000000000000000000000002-200−2i2i0000000000-11−i3i3i−i−33000000000000
χ896-66-600-3−6i6i-3−3i33i3−3i33i33303i−3i−333300000000000000000000000000000000000000-22002i−2i00000000001-1i3−i3−ii3−3000000000000
χ906-66-600-3−6i6i-33i3−3i33i3−3i33303i−3i33−33000000000000000000000000000000000000002-200−2i2i0000000000-11i3−i3i−i3−3000000000000
χ916-66-600-3−6i6i-33i3−3i33i3−3i33303i−3i33−3300000000000000000000000000000000000000-22002i−2i00000000001-1−i3i3−ii−33000000000000
χ921212-12-1212-12-6006-6-666-660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ931212-12-12-1212-600666-6-6-660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-121200-6006−6i36i36i3−6i36-60000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-121200-60066i3−6i3−6i36i36-60000000000000000000000000000000000000000000000000000000000000000000000000000000

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