Finite Group Databasebeta

← Group #13147803

Character table — Group #13147803

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order122234444666121212124121212123366666612121212366612121212121212121212121212121212121212121212444444442244444412121212121212121212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-1-11-11-11111-1-1-1-11111-1-1-1-11-11-1
χ61111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-11-1-1-11-11-1-1-1-111111111-1-1-1-1-11-11
χ71111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111111-1-1-1-1-1-1-1-11111-11-11
χ81111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-111-1-1-1-1-11111-1-1-1-111111-11-1
χ911111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-11-1-11111-1-111-1-111-1-111-1-1-1-111
χ1011111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1111-1-1-1-111-1-11111-1-111-1-111-1-1
χ1111111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1
χ1211111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11-11111-1-111-1-111-1-111-1-111-1-111
χ1311111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-111-1-111-111-1-1-1-11111-1-1-1-111-111-1
χ1411111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111-11-11-1-11-1-11111-1-111-1-1-1-1111-1-11
χ1511111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-11-11-1111-1-1-1-111-1-11111-1-11-1-11
χ1611111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-11-111-11-1-1-11111-1-1-1-11111-1-1-111-1
χ172222222222222222222222-12-1-122-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000220000220000000000000000-1-1-1-1
χ182222222222222222222222-12-1-122-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-2-20000-2-200000000000000001111
χ19222222222222222222222-12-122-1-12-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000022000000000000-1-1-1-1-1-1-1-10000
χ20222222222222222222222-12-122-1-12-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000-2-2000000000000111111110000
χ212222222-2-22222222-2-2-2-2-22-12-1-122-1-2-2-2-2-1-1-1-1-1-1112211-2-2-1-1-1-111111111000000002-200002-20000000000000000-11-11
χ222222222-2-22222222-2-2-2-2-22-12-1-122-1-2-2-2-2-1-1-1-1-1-1112211-2-2-1-1-1-11111111100000000-220000-2200000000000000001-11-1
χ232222222-2-22222222-2-2-2-2-2-12-122-1-121111-1-1-1-122-2-2-1-1-2-211-1-1-1-1111111112222000000-2-2000000000000-1-1-1-111110000
χ242222222-2-22222222-2-2-2-2-2-12-122-1-121111-1-1-1-122-2-2-1-1-2-211-1-1-1-111111111-2-2-2-2000000220000000000001111-1-1-1-10000
χ2522222-2-222222-2-2-2-2-222-2-22-12-1-122-12222-1-1-1-11111-2-2-1-1-2-21111-1-1-1-1111100000000220000-2-20000000000000000-1-111
χ2622222-2-222222-2-2-2-2-222-2-22-12-1-122-12222-1-1-1-11111-2-2-1-1-2-21111-1-1-1-1111100000000-2-2000022000000000000000011-1-1
χ2722222-2-222222-2-2-2-2-222-2-2-12-122-1-12-1-1-1-1-1-1-1-1-2-2-2-21122111111-1-1-1-1111122-2-2000000-22000000000000-1-111-1-1110000
χ2822222-2-222222-2-2-2-2-222-2-2-12-122-1-12-1-1-1-1-1-1-1-1-2-2-2-21122111111-1-1-1-11111-2-2220000002-200000000000011-1-111-1-10000
χ2922222-2-2-2-2222-2-2-2-22-2-2222-12-1-122-1-2-2-2-2-1-1-1-111-1-1-2-2112211111111-1-1-1-1000000002-20000-220000000000000000-111-1
χ3022222-2-2-2-2222-2-2-2-22-2-2222-12-1-122-1-2-2-2-2-1-1-1-111-1-1-2-2112211111111-1-1-1-100000000-2200002-200000000000000001-1-11
χ3122222-2-2-2-2222-2-2-2-22-2-222-12-122-1-121111-1-1-1-1-2-22211-2-2-1-111111111-1-1-1-122-2-20000002-2000000000000-1-11111-1-10000
χ3222222-2-2-2-2222-2-2-2-22-2-222-12-122-1-121111-1-1-1-1-2-22211-2-2-1-111111111-1-1-1-1-2-222000000-2200000000000011-1-1-1-1110000
χ332-22-22002-2-22-2000002-200222-2-2-2-2222-2-222-2-20000002-200000022-2-2000000002i−2i2i−2i000000002i−2i002i−2i00000000000000
χ342-22-22002-2-22-2000002-200222-2-2-2-2222-2-222-2-20000002-200000022-2-200000000−2i2i−2i2i00000000−2i2i00−2i2i00000000000000
χ352-22-2200-22-22-200000-2200222-2-2-2-22-2-22222-2-2000000-22000000-2-222000000002i−2i−2i2i000000002i−2i00−2i2i00000000000000
χ362-22-2200-22-22-200000-2200222-2-2-2-22-2-22222-2-2000000-22000000-2-22200000000−2i2i2i−2i00000000−2i2i002i−2i00000000000000
χ372-2-2222i−2i00-2-222i2i−2i−2i0000022-22-22-2-200002-22-22i−2i002i−2i00002i2i−2i−2i000000002i−2i2-2000000000000000000002i−2i2-200000000
χ382-2-2222i−2i00-2-222i2i−2i−2i0000022-22-22-2-200002-22-22i−2i002i−2i00002i2i−2i−2i00000000−2i2i-2200000000000000000000−2i2i-2200000000
χ392-2-2222i−2i00-2-222i2i−2i−2i00000-1212-2-11-23−33−3-11-112i−2i00−ii00−i3i3−i−iii3−33−3−i3−i3i3i32i−2i2-200000000000000000000−ii-11−i3i33−30000
χ402-2-2222i−2i00-2-222i2i−2i−2i00000-1212-2-11-23−33−3-11-112i−2i00−ii00−i3i3−i−iii3−33−3−i3−i3i3i3−2i2i-2200000000000000000000i−i1-1i3−i3−330000
χ412-2-2222i−2i00-2-222i2i−2i−2i00000-1212-2-11-2−33−33-11-112i−2i00−ii00i3−i3−i−iii−33−33i3i3−i3−i32i−2i2-200000000000000000000−ii-11i3−i3−330000
χ422-2-2222i−2i00-2-222i2i−2i−2i00000-1212-2-11-2−33−33-11-112i−2i00−ii00i3−i3−i−iii−33−33i3i3−i3−i3−2i2i-2200000000000000000000i−i1-1−i3i33−30000
χ432-2-222−2i2i00-2-22−2i−2i2i2i0000022-22-22-2-200002-22-2−2i2i00−2i2i0000−2i−2i2i2i000000002i−2i-22000000000000000000002i−2i-2200000000
χ442-2-222−2i2i00-2-22−2i−2i2i2i0000022-22-22-2-200002-22-2−2i2i00−2i2i0000−2i−2i2i2i00000000−2i2i2-200000000000000000000−2i2i2-200000000
χ452-2-222−2i2i00-2-22−2i−2i2i2i00000-1212-2-11-23−33−3-11-11−2i2i00i−i00i3−i3ii−i−i3−33−3i3i3−i3−i32i−2i-2200000000000000000000−ii1-1−i3i3−330000
χ462-2-222−2i2i00-2-22−2i−2i2i2i00000-1212-2-11-23−33−3-11-11−2i2i00i−i00i3−i3ii−i−i3−33−3i3i3−i3−i3−2i2i2-200000000000000000000i−i-11i3−i33−30000
χ472-2-222−2i2i00-2-22−2i−2i2i2i00000-1212-2-11-2−33−33-11-11−2i2i00i−i00−i3i3ii−i−i−33−33−i3−i3i3i32i−2i-2200000000000000000000−ii1-1i3−i33−30000
χ482-2-222−2i2i00-2-22−2i−2i2i2i00000-1212-2-11-2−33−33-11-11−2i2i00i−i00−i3i3ii−i−i−33−33−i3−i3i3i3−2i2i2-200000000000000000000i−i-11−i3i3−330000
χ49444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ504444444-4-44444444-4-4-4-4-4-2-2-2-2-2-2-2-222221111-2-222-2-222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ5144444-4-444444-4-4-4-4-444-4-4-2-2-2-2-2-2-2-2-2-2-2-21111222222-2-222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ5244444-4-4-4-4444-4-4-4-44-4-444-2-2-2-2-2-2-2-22222111122-2-22222-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ5344-4-4400004-4-400000000044-4-44-44-400004-4-440000000000000000000000000000000000000000000000000000000000
χ5444-4-4400004-4-40000000004-2-42-2-4420000-222-20023−230000000000000023−2323−23000000000000000000000000000000000000
χ5544-4-4400004-4-40000000004-2-42-2-4420000-222-200−232300000000000000−2323−2323000000000000000000000000000000000000
χ5644-4-4400004-4-4000000000-242-442-2-423−23−2323-222-20000000000000023−23−23230000000000000000000000000000000000000000
χ5744-4-4400004-4-4000000000-242-442-2-4−232323−23-222-200000000000000−232323−230000000000000000000000000000000000000000
χ5844-4-4400004-4-4000000000-2-222-22-2223−23−23231-1-110023−230000003-33-3−333−3−33−33000000000000000000000000000000000000
χ5944-4-4400004-4-4000000000-2-222-22-2223−23−23231-1-1100−2323000000-33-33−333−33−33−3000000000000000000000000000000000000
χ6044-4-4400004-4-4000000000-2-222-22-22−232323−231-1-110023−23000000-33-333−3−33−33−33000000000000000000000000000000000000
χ6144-4-4400004-4-4000000000-2-222-22-22−232323−231-1-1100−23230000003-33-33−3−333−33−3000000000000000000000000000000000000
χ624-44-44004-4-44-4000004-4004-2422-4-4-244-4-4-2-222000000-22000000-2-2220000000000000000000000000000000000000000
χ634-44-44004-4-44-4000004-400-24-2-4-4224-2-222-2-2220000004-4000000-2-2220000000000000000000000000000000000000000
χ644-44-44004-4-44-4000004-400-2-2-22222-2-2-22211-1-1000000-22003i−3i−3i3i11-1-13i−3i−3i3i000000000000000000000000000000000000
χ654-44-44004-4-44-4000004-400-2-2-22222-2-2-22211-1-1000000-2200−3i3i3i−3i11-1-1−3i3i3i−3i000000000000000000000000000000000000
χ664-44-4400-44-44-400000-44004-2422-4-4-2-4-444-2-2220000002-200000022-2-20000000000000000000000000000000000000000
χ674-44-4400-44-44-400000-4400-24-2-4-422422-2-2-2-222000000-4400000022-2-20000000000000000000000000000000000000000
χ684-44-4400-44-44-400000-4400-2-2-22222-222-2-211-1-10000002-2003i−3i−3i3i-1-111−3i3i3i−3i000000000000000000000000000000000000
χ694-44-4400-44-44-400000-4400-2-2-22222-222-2-211-1-10000002-200−3i3i3i−3i-1-1113i−3i−3i3i000000000000000000000000000000000000
χ704-4-4444i−4i00-4-444i4i−4i−4i000004-2-4-224-420000-22-22−2i2i004i−4i0000−2i−2i2i2i00000000000000000000000000000000000000000000
χ714-4-4444i−4i00-4-444i4i−4i−4i00000-2-22-22-22223−2323−231-11-1−2i2i00−2i2i00−2i32i3ii−i−i−33−33i3i3−i3−i3000000000000000000000000000000000000
χ724-4-4444i−4i00-4-444i4i−4i−4i00000-2-22-22-222−2323−23231-11-1−2i2i00−2i2i002i3−2i3ii−i−i3−33−3−i3−i3i3i3000000000000000000000000000000000000
χ734-4-444−4i4i00-4-44−4i−4i4i4i000004-2-4-224-420000-22-222i−2i00−4i4i00002i2i−2i−2i00000000000000000000000000000000000000000000
χ744-4-444−4i4i00-4-44−4i−4i4i4i00000-2-22-22-22223−2323−231-11-12i−2i002i−2i002i3−2i3−i−iii−33−33−i3−i3i3i3000000000000000000000000000000000000
χ754-4-444−4i4i00-4-44−4i−4i4i4i00000-2-22-22-222−2323−23231-11-12i−2i002i−2i00−2i32i3−i−iii3−33−3i3i3−i3−i3000000000000000000000000000000000000
χ766666-36666-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000000000222200002200-1-1-1-1-1-1-1-1000000000000
χ776666-36666-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000000000-2-2-2-20000-2-20011111111000000000000
χ786666-366-6-6-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000000022-2-200002-200-1-1-1-11111000000000000
χ796666-366-6-6-3-3-3-3-3-3-3-63333000000000000000000000000000000000000000000-2-2220000-22001111-1-1-1-1000000000000
χ806666-3-6-666-3-3-33333-6-3-33300000000000000000000000000000000000000000022220000-2-200-1-111-1-111000000000000
χ816666-3-6-666-3-3-33333-6-3-333000000000000000000000000000000000000000000-2-2-2-20000220011-1-111-1-1000000000000
χ826666-3-6-6-6-6-3-3-33333633-3-300000000000000000000000000000000000000000022-2-20000-2200-1-11111-1-1000000000000
χ836666-3-6-6-6-6-3-3-33333633-3-3000000000000000000000000000000000000000000-2-22200002-20011-1-1-1-111000000000000
χ846-66-6-3006-63-3333−3333−330-3333−330000000000000000000000000000000000000000002i−2i2i−2i00000000−ii−i3i3−ii−i3i3000000000000
χ856-66-6-3006-63-3333−3333−330-3333−33000000000000000000000000000000000000000000−2i2i−2i2i00000000i−ii3−i3i−ii3−i3000000000000
χ866-66-6-3006-63-33−3333−33330-33−33330000000000000000000000000000000000000000002i−2i2i−2i00000000−iii3−i3−iii3−i3000000000000
χ876-66-6-3006-63-33−3333−33330-33−3333000000000000000000000000000000000000000000−2i2i−2i2i00000000i−i−i3i3i−i−i3i3000000000000
χ886-66-6-300-663-3333−3333−3303-3−33330000000000000000000000000000000000000000002i−2i−2i2i00000000−ii−i3i3i−ii3−i3000000000000
χ896-66-6-300-663-3333−3333−3303-3−3333000000000000000000000000000000000000000000−2i2i2i−2i00000000i−ii3−i3−ii−i3i3000000000000
χ906-66-6-300-663-33−3333−333303-333−330000000000000000000000000000000000000000002i−2i−2i2i00000000−iii3−i3i−i−i3i3000000000000
χ916-66-6-300-663-33−3333−333303-333−33000000000000000000000000000000000000000000−2i2i2i−2i00000000i−i−i3i3−iii3−i3000000000000
χ921212-12-12-60000-666−6i36i36i3−6i30000000000000000000000000000000000000000000000000000000000000000000000000000000
χ931212-12-12-60000-6666i3−6i3−6i36i30000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-1212-612i−12i0066-6−6i−6i6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-1212-6−12i12i0066-66i6i−6i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000

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