Finite Group Databasebeta

← Group #13147809

Character table — Group #13147809

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222222224444446666666612121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363636367272727272727272
order1222344666121212124412121212336666663666121212121212121212121212121212121212121212121212444424444444441212121212121212612121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-1-1-1-11-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11-111-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-11-11-1-1-11-11111-1-1-1-111-1-111-1-1
χ611111111111111-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-11-11-11-111111-1-1-1-1-1-111-1-111
χ711111111111111-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11-1-1-1-1111111-1-1-1-111
χ811111111111111-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1111-1-1-1-1-11111-1-11111-1-1
χ911111-1-1111-1-1-1-11-111-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1-1-11111-1-111-1-111-1-11-11-11-11-1
χ1011111-1-1111-1-1-1-11-111-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11-11111-1-111-1-1-11-11-11-11
χ1111111-1-1111-1-1-1-11-111-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1111-1-111-1-1111-11-1-11-11
χ1211111-1-1111-1-1-1-11-111-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111111-1-1-1-1-1-111-1-111-11-111-11-1
χ1311111-1-1111-1-1-1-1-11-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-111-1-1-1-1111-1-1-1-1111-1-111-1-11
χ1411111-1-1111-1-1-1-1-11-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-111-1-11-111-111-1-1-1-111-111-1-111-1
χ1511111-1-1111-1-1-1-1-11-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1111-1-11-111-11-1-1-11111-1-11-1-11-111-1
χ1611111-1-1111-1-1-1-1-11-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-11-11-111-11-1-11111-1-1-111-11-1-11
χ17222222222222222222222-12-1-1-122-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000202200020000000000-1-1-1-10000
χ18222222222222222222222-12-1-1-122-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-20-2-2000-2000000000011110000
χ1922222222222222222222-12-1222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000220022000000000000-1-1-1-1
χ2022222222222222222222-12-1222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-200-2-20000000000001111
χ2122222222222222-2-2-2-2-2-22-12-1-1-122-1-1-1-1-2-2-1-1111122-2-2-1-1-1-1111111110000202-2000-20000000000-1-1110000
χ2222222222222222-2-2-2-2-2-22-12-1-1-122-1-1-1-1-2-2-1-1111122-2-2-1-1-1-1111111110000-20-220002000000000011-1-10000
χ2322222222222222-2-2-2-2-2-2-12-1222-1-1-1-1-1-11122-2-2-2-2-1-111-1-1-1-111111111000000002-2002-2000000000000-1-111
χ2422222222222222-2-2-2-2-2-2-12-1222-1-1-1-1-1-11122-2-2-2-2-1-111-1-1-1-11111111100000000-2200-2200000000000011-1-1
χ2522222-2-2222-2-2-2-22-222-2-22-12-1-1-122-1-1-1-12211-1-111-2-2-2-21111-1-1-1-11111000020-2-200020000000000-11-110000
χ2622222-2-2222-2-2-2-22-222-2-22-12-1-1-122-1-1-1-12211-1-111-2-2-2-21111-1-1-1-111110000-2022000-200000000001-11-10000
χ2722222-2-2222-2-2-2-22-222-2-2-12-1222-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-11111000000002200-2-2000000000000-11-11
χ2822222-2-2222-2-2-2-22-222-2-2-12-1222-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-1111100000000-2-200220000000000001-11-1
χ2922222-2-2222-2-2-2-2-22-2-2222-12-1-1-122-1-1-1-1-2-21111-1-1-2-22211111111-1-1-1-1000020-22000-20000000000-111-10000
χ3022222-2-2222-2-2-2-2-22-2-2222-12-1-1-122-1-1-1-1-2-21111-1-1-2-22211111111-1-1-1-10000-202-2000200000000001-1-110000
χ3122222-2-2222-2-2-2-2-22-2-222-12-1222-1-1-1-1-1-111-2-2-2-22211-1-111111111-1-1-1-1000000002-200-22000000000000-111-1
χ3222222-2-2222-2-2-2-2-22-2-222-12-1222-1-1-1-1-1-111-2-2-2-22211-1-111111111-1-1-1-100000000-22002-20000000000001-1-11
χ332-2-2222i−2i-22-22i2i−2i−2i00000022-22-2-22-222-2-2002i−2i00002i−2i002i2i−2i−2i000000002i−2i2-200000000002i−2i2-2000000000000
χ342-2-2222i−2i-22-22i2i−2i−2i00000022-22-2-22-222-2-2002i−2i00002i−2i002i2i−2i−2i00000000−2i2i-220000000000−2i2i-22000000000000
χ352-2-222−2i2i-22-2−2i−2i2i2i00000022-22-2-22-222-2-200−2i2i0000−2i2i00−2i−2i2i2i000000002i−2i-2200000000002i−2i-22000000000000
χ362-2-222−2i2i-22-2−2i−2i2i2i00000022-22-2-22-222-2-200−2i2i0000−2i2i00−2i−2i2i2i00000000−2i2i2-20000000000−2i2i2-2000000000000
χ3744444444444444444444-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
χ3844444444444444-4-4-4-4-4-4-2-2-2-2-2-2-2-2111122-2-22222-2-2221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ3944444-4-4444-4-4-4-44-444-4-4-2-2-2-2-2-2-2-21111-2-222-2-2222222-1-1-1-11111-1-1-1-1000000000000000000000000000000
χ4044444-4-4444-4-4-4-4-44-4-444-2-2-2-2-2-2-2-21111222222-2-222-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000
χ4144-4-44004-4-4000000000044-4-44-4-444-44-4000000000000000000000000000000000000000000000000000000
χ4244-4-44004-4-400000000004-2-42-22-44-22-22000023−2300000000002323−23−230000000000000000000000000000000000
χ4344-4-44004-4-400000000004-2-42-22-44-22-220000−23230000000000−23−2323230000000000000000000000000000000000
χ4444-4-44004-4-40000000000-242-44-42-2-22-22000000000023−23000000002323−23−23000000000000000000000000000000
χ4544-4-44004-4-40000000000-242-44-42-2-22-220000000000−232300000000−23−232323000000000000000000000000000000
χ4644-4-44004-4-40000000000-2-222-222-21-11-1000023−23000023−233-33-3−3−333−3−333000000000000000000000000000000
χ4744-4-44004-4-40000000000-2-222-222-21-11-1000023−230000−2323-33-33−3−33333−3−3000000000000000000000000000000
χ4844-4-44004-4-40000000000-2-222-222-21-11-10000−2323000023−23-33-3333−3−3−3−333000000000000000000000000000000
χ4944-4-44004-4-40000000000-2-222-222-21-11-10000−23230000−23233-33-333−3−333−3−3000000000000000000000000000000
χ504-44-4400-4-440000000000444-4-44-4-44-4-44000000000000000000000000000000000000000000000000000000
χ514-44-4400-4-4400000000004-2422-2-4-4-222-200000023−2300000000000023−2323−23000000000000000000000000000000
χ524-44-4400-4-4400000000004-2422-2-4-4-222-2000000−2323000000000000−2323−2323000000000000000000000000000000
χ534-44-4400-4-440000000000-24-2-4-4422-222-2−2i32i300000000000000−2i32i3−2i32i30000000000000000000000000000000000
χ544-44-4400-4-440000000000-24-2-4-4422-222-22i3−2i3000000000000002i3−2i32i3−2i30000000000000000000000000000000000
χ554-44-4400-4-440000000000-2-2-222-2221-1-11−2i32i3000023−2300003i−3i−3i3ii3−i3i3−i3−33−33000000000000000000000000000000
χ564-44-4400-4-440000000000-2-2-222-2221-1-11−2i32i30000−23230000−3i3i3i−3ii3−i3i3−i33−33−3000000000000000000000000000000
χ574-44-4400-4-440000000000-2-2-222-2221-1-112i3−2i3000023−230000−3i3i3i−3i−i3i3−i3i3−33−33000000000000000000000000000000
χ584-44-4400-4-440000000000-2-2-222-2221-1-112i3−2i30000−232300003i−3i−3i3i−i3i3−i3i33−33−3000000000000000000000000000000
χ594-4-4444i−4i-44-44i4i−4i−4i0000004-2-4-2224-4-2-22200−2i2i00004i−4i00−2i−2i2i2i00000000000000000000000000000000000000
χ604-4-4444i−4i-44-44i4i−4i−4i000000-2424-4-4-22-2-222004i−4i0000−2i2i00−2i−2i2i2i00000000000000000000000000000000000000
χ614-4-4444i−4i-44-44i4i−4i−4i000000-2-22-222-2211-1-100−2i2i0000−2i2i00ii−i−i3i−3i−3i3i-333-3000000000000000000000000000000
χ624-4-4444i−4i-44-44i4i−4i−4i000000-2-22-222-2211-1-100−2i2i0000−2i2i00ii−i−i−3i3i3i−3i3-3-33000000000000000000000000000000
χ634-4-444−4i4i-44-4−4i−4i4i4i0000004-2-4-2224-4-2-222002i−2i0000−4i4i002i2i−2i−2i00000000000000000000000000000000000000
χ644-4-444−4i4i-44-4−4i−4i4i4i000000-2424-4-4-22-2-22200−4i4i00002i−2i002i2i−2i−2i00000000000000000000000000000000000000
χ654-4-444−4i4i-44-4−4i−4i4i4i000000-2-22-222-2211-1-1002i−2i00002i−2i00−i−iii3i−3i−3i3i3-3-33000000000000000000000000000000
χ664-4-444−4i4i-44-4−4i−4i4i4i000000-2-22-222-2211-1-1002i−2i00002i−2i00−i−iii−3i3i3i−3i-333-3000000000000000000000000000000
χ676666-366-3-3-3-3-3-3-366-3-3-3-300000000000000000000000000000000000022220200002000-1-1-1-1-1-1-1-100000000
χ686666-366-3-3-3-3-3-3-366-3-3-3-3000000000000000000000000000000000000-2-2-2-20-20000-20001111111100000000
χ696666-366-3-3-3-3-3-3-3-6-6333300000000000000000000000000000000000022220-20000-2000-1-1-1-1111100000000
χ706666-366-3-3-3-3-3-3-3-6-63333000000000000000000000000000000000000-2-2-2-202000020001111-1-1-1-100000000
χ716666-3-6-6-3-3-333336-6-3-33300000000000000000000000000000000000022-2-20-200002000-1-111-1-11100000000
χ726666-3-6-6-3-3-333336-6-3-333000000000000000000000000000000000000-2-222020000-200011-1-111-1-100000000
χ736666-3-6-6-3-3-33333-6633-3-300000000000000000000000000000000000022-2-2020000-2000-1-11111-1-100000000
χ746666-3-6-6-3-3-33333-6633-3-3000000000000000000000000000000000000-2-2220-20000200011-1-1-1-11100000000
χ756-6-66-36i−6i3-33−3i−3i3i3i0033−33−3i33i30000000000000000000000000000000000002i−2i2-20000000000−ii-11−i3i33−300000000
χ766-6-66-36i−6i3-33−3i−3i3i3i0033−33−3i33i3000000000000000000000000000000000000−2i2i-220000000000i−i1-1i3−i3−3300000000
χ776-6-66-36i−6i3-33−3i−3i3i3i00−33333i3−3i30000000000000000000000000000000000002i−2i2-20000000000−ii-11i3−i3−3300000000
χ786-6-66-36i−6i3-33−3i−3i3i3i00−33333i3−3i3000000000000000000000000000000000000−2i2i-220000000000i−i1-1−i3i33−300000000
χ796-6-66-3−6i6i3-333i3i−3i−3i0033−333i3−3i30000000000000000000000000000000000002i−2i-220000000000−ii1-1−i3i3−3300000000
χ806-6-66-3−6i6i3-333i3i−3i−3i0033−333i3−3i3000000000000000000000000000000000000−2i2i2-20000000000i−i-11i3−i33−300000000
χ816-6-66-3−6i6i3-333i3i−3i−3i00−3333−3i33i30000000000000000000000000000000000002i−2i-220000000000−ii1-1i3−i33−300000000
χ826-6-66-3−6i6i3-333i3i−3i−3i00−3333−3i33i3000000000000000000000000000000000000−2i2i2-20000000000i−i-11−i3i3−3300000000
χ831212-12-12-600-666−6i36i3−6i36i3000000000000000000000000000000000000000000000000000000000000000000000000
χ841212-12-12-600-6666i3−6i36i3−6i3000000000000000000000000000000000000000000000000000000000000000000000000
χ8512-1212-12-60066-663−63−6363000000000000000000000000000000000000000000000000000000000000000000000000
χ8612-1212-12-60066-6−636363−63000000000000000000000000000000000000000000000000000000000000000000000000

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