Finite Group Databasebeta

← Group #13149460

Character table — Group #13149460

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size11112222224444444466666666121212121212121218181818181818181818181818182424242424242424242436363636363636363636363636363636363636363672727272
order122234466644121212121212336666663666121212124444444444121212121212121212121212121222444441212121212121212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-11111111111111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ41111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111111111-11-1-1-111-1-1-1-1-1-1-1-111-1-111-11-11
χ51111111111-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11-11-11111-1-111-1-111-1-1-11-11
χ61111111111-1-111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-11-111111-1-1-1-111-1-1111-11-1
χ71111111111-1-111-1-1-1-11111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-11-1-1-1-11111111111-1-1-1-1
χ81111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111-111-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ911111-1-11111-1-1-111-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-11-1-11111-1-11111-1-1-1-1111-1-11
χ1011111-1-11111-1-1-111-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-11111-1-111-1-111-1-11111-1-1-111-1
χ1111111-1-11111-1-1-111-1-1111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ1211111-1-11111-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-1-1-11111-1-111
χ1311111-1-1111-11-1-1-1-111111111111111-1-1-1-111-1-11111111111-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-1-1-111
χ1411111-1-1111-11-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-111-11-1-1111-1-1-1-1-1-1-1-1111111-1-1
χ1511111-1-1111-11-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-11-11-1-1111111-1-1-1-111-111-1
χ1611111-1-1111-11-1-1-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-111-11-1-1-11111-1-11111-1-11-1-11
χ172222222222222222222-12-12-12-1-1-1-1-122-1-1000000220000002-12-1-1-1-1-1-1-1020002200000000-1-100-1-10-10-1
χ182222222222222222222-12-12-12-1-1-1-1-122-1-1000000-2-20000002-12-1-1-1-1-1-1-10-2000-2-2000000001100110101
χ19222222222222222222-12-12-12-12-1-1-1-1-1-12200002200000000-12-12-1-1-1-1-1-12002200000000-1-100-1-100-10-10
χ20222222222222222222-12-12-12-12-1-1-1-1-1-1220000-2-200000000-12-12-1-1-1-1-1-1-200-2-200000000110011001010
χ212222222222-2-222-2-2-2-22-12-12-12-1-1-1-1-122-1-100000022000000-21-2111-1-1110-2000-2200000000-1-100-1-10101
χ222222222222-2-222-2-2-2-22-12-12-12-1-1-1-1-122-1-1000000-2-2000000-21-2111-1-111020002-2000000001100110-10-1
χ232222222222-2-222-2-2-2-2-12-12-12-12-1-1-1-1-1-122000022000000001-21-211-1-111-2002-200000000-1-100-1-1001010
χ242222222222-2-222-2-2-2-2-12-12-12-12-1-1-1-1-1-1220000-2-2000000001-21-211-1-111200-220000000011001100-10-10
χ2522222-2-22222-2-2-222-2-22-12-12-12-1-1-1-1-1-2-211000000220000002-1-211111-1-102000-2-200000000-1-100110-101
χ2622222-2-22222-2-2-222-2-22-12-12-12-1-1-1-1-1-2-211000000-2-20000002-1-211111-1-10-200022000000001100-1-1010-1
χ2722222-2-22222-2-2-222-2-2-12-12-12-12-1-1-1-111-2-200002200000000-121-21111-1-1200-2-200000000-1-1001100-1010
χ2822222-2-22222-2-2-222-2-2-12-12-12-12-1-1-1-111-2-20000-2-200000000-121-21111-1-1-20022000000001100-1-10010-10
χ2922222-2-2222-22-2-2-2-2222-12-12-12-1-1-1-1-1-2-21100000022000000-212-1-1-111110-20002-200000000-1-10011010-1
χ3022222-2-2222-22-2-2-2-2222-12-12-12-1-1-1-1-1-2-211000000-2-2000000-212-1-1-1111102000-22000000001100-1-10-101
χ3122222-2-2222-22-2-2-2-222-12-12-12-12-1-1-1-111-2-2000022000000001-2-12-1-11111-200-2200000000-1-100110010-10
χ3222222-2-2222-22-2-2-2-222-12-12-12-12-1-1-1-111-2-20000-2-2000000001-2-12-1-111112002-2000000001100-1-100-1010
χ332-22-222i−2i-2-22002i−2i000022-2-222-2-22-22-22i−2i2i−2i2i−2i2-200000000000000002i−2i0000000002i−2i2-200000000000000
χ342-22-222i−2i-2-22002i−2i000022-2-222-2-22-22-22i−2i2i−2i−2i2i-2200000000000000002i−2i000000000−2i2i-2200000000000000
χ352-22-22−2i2i-2-2200−2i2i000022-2-222-2-22-22-2−2i2i−2i2i2i−2i-220000000000000000−2i2i0000000002i−2i-2200000000000000
χ362-22-22−2i2i-2-2200−2i2i000022-2-222-2-22-22-2−2i2i−2i2i−2i2i2-20000000000000000−2i2i000000000−2i2i2-200000000000000
χ372-2-222002-2-20000000022-2-2-2-22222-2-2000000002i−2i2i−2i2-222-2-2000000000000000000000002i−2i2i−2i00000000
χ382-2-222002-2-20000000022-2-2-2-22222-2-2000000002i−2i−2i2i-22-2-222000000000000000000000002i−2i−2i2i00000000
χ392-2-222002-2-20000000022-2-2-2-22222-2-200000000−2i2i2i−2i-22-2-22200000000000000000000000−2i2i2i−2i00000000
χ402-2-222002-2-20000000022-2-2-2-22222-2-200000000−2i2i−2i2i2-222-2-200000000000000000000000−2i2i−2i2i00000000
χ41444444444444444444-2-2-2-2-2-2-2-21111-2-2-2-200000000000000-2-2-2-21111110000000000000000000000000
χ424444444444-4-444-4-4-4-4-2-2-2-2-2-2-2-21111-2-2-2-2000000000000002222-1-111-1-10000000000000000000000000
χ4344444-4-44444-4-4-444-4-4-2-2-2-2-2-2-2-21111222200000000000000-2-222-1-1-1-1110000000000000000000000000
χ4444444-4-4444-44-4-4-4-444-2-2-2-2-2-2-2-2111122220000000000000022-2-211-1-1-1-10000000000000000000000000
χ4544-4-4400-44-4000000004444-4-4-4-44-4-4400000000000000000000000000000000000000000000000000000
χ4644-4-4400-44-4000000004-24-2-42-42-222-20000000000000000000000000000000000000000000000023−230000
χ4744-4-4400-44-4000000004-24-2-42-42-222-200000000000000000000000000000000000000000000000−23230000
χ4844-4-4400-44-400000000-24-242-42-4-222-200000000000000000000000000000000000000000000023−23000000
χ4944-4-4400-44-400000000-24-242-42-4-222-2000000000000000000000000000000000000000000000−2323000000
χ504-44-444i−4i-4-44004i−4i00004-2-424-2-42-22-224i−4i−2i2i00000000000000000000−2i2i000000000000000000000000000
χ514-44-444i−4i-4-44004i−4i0000-242-4-242-4-22-22−2i2i4i−4i00000000000000000000−2i2i000000000000000000000000000
χ524-44-444i−4i-4-44004i−4i0000-2-222-2-2221-11-1−2i2i−2i2i0000000000000000003-3i−i3i−3i0000000000000000000000000
χ534-44-444i−4i-4-44004i−4i0000-2-222-2-2221-11-1−2i2i−2i2i000000000000000000-33i−i−3i3i0000000000000000000000000
χ544-44-44−4i4i-4-4400−4i4i00004-2-424-2-42-22-22−4i4i2i−2i000000000000000000002i−2i000000000000000000000000000
χ554-44-44−4i4i-4-4400−4i4i0000-242-4-242-4-22-222i−2i−4i4i000000000000000000002i−2i000000000000000000000000000
χ564-44-44−4i4i-4-4400−4i4i0000-2-222-2-2221-11-12i−2i2i−2i0000000000000000003-3−ii−3i3i0000000000000000000000000
χ574-44-44−4i4i-4-4400−4i4i0000-2-222-2-2221-11-12i−2i2i−2i000000000000000000-33−ii3i−3i0000000000000000000000000
χ584-4-444004-4-4000000004-2-42-424-2-2-22200000000004i−4i0000000000000000000000000000000−2i2i00000000
χ594-4-444004-4-4000000004-2-42-424-2-2-2220000000000−4i4i00000000000000000000000000000002i−2i00000000
χ604-4-444004-4-400000000-242-42-4-24-2-222000000004i−4i0000000000000000000000000000000−2i2i0000000000
χ614-4-444004-4-400000000-242-42-4-24-2-22200000000−4i4i00000000000000000000000000000002i−2i0000000000
χ626666-366-3-3-366-3-3-3-3-3-300000000000000002222000022-1-1-1-100000000000020000-1-1-1-1-1-1000000000000
χ636666-366-3-3-366-3-3-3-3-3-30000000000000000-2-2-2-20000-2-21111000000000000-20000111111000000000000
χ646666-366-3-3-3-6-6-3-33333000000000000000022220000-2-21111000000000000-20000-1-1-1-111000000000000
χ656666-366-3-3-3-6-6-3-333330000000000000000-2-2-2-2000022-1-1-1-1000000000000200001111-1-1000000000000
χ666666-3-6-6-3-3-36-633-3-333000000000000000022-2-20000-2-2111100000000000020000-1-111-1-1000000000000
χ676666-3-6-6-3-3-36-633-3-3330000000000000000-2-222000022-1-1-1-1000000000000-2000011-1-111000000000000
χ686666-3-6-6-3-3-3-663333-3-3000000000000000022-2-2000022-1-1-1-1000000000000-20000-1-11111000000000000
χ696666-3-6-6-3-3-3-663333-3-30000000000000000-2-2220000-2-211110000000000002000011-1-1-1-1000000000000
χ706-66-6-36i−6i33-300−3i3i33−33−3i33i300000000000000002i−2i2-20000003−33−300000000000000000−ii-11−i3i3000000000000
χ716-66-6-36i−6i33-300−3i3i33−33−3i33i30000000000000000−2i2i-22000000−33−3300000000000000000i−i1-1i3−i3000000000000
χ726-66-6-36i−6i33-300−3i3i−33333i3−3i300000000000000002i−2i2-2000000−33−3300000000000000000−ii-11i3−i3000000000000
χ736-66-6-36i−6i33-300−3i3i−33333i3−3i30000000000000000−2i2i-220000003−33−300000000000000000i−i1-1−i3i3000000000000
χ746-66-6-3−6i6i33-3003i−3i33−333i3−3i300000000000000002i−2i-22000000−33−3300000000000000000−ii1-1−i3i3000000000000
χ756-66-6-3−6i6i33-3003i−3i33−333i3−3i30000000000000000−2i2i2-20000003−33−300000000000000000i−i-11i3−i3000000000000
χ766-66-6-3−6i6i33-3003i−3i−3333−3i33i300000000000000002i−2i-220000003−33−300000000000000000−ii1-1i3−i3000000000000
χ776-66-6-3−6i6i33-3003i−3i−3333−3i33i30000000000000000−2i2i2-2000000−33−3300000000000000000i−i-11−i3i3000000000000
χ7888-8-8800-88-800000000-4-4-4-444442-2-2200000000000000000000000000000000000000000000000000000
χ798-8-888008-8-800000000-4-44444-4-422-2-200000000000000000000000000000000000000000000000000000
χ801212-12-12-6006-66000000000000000000000000000000000023−23−232300000000000000000000000000000000000
χ811212-12-12-6006-660000000000000000000000000000000000−232323−2300000000000000000000000000000000000
χ8212-12-1212-600-666000000000000000000000000000000004-4-2-22200000000000000000000000000000000000
χ8312-12-1212-600-66600000000000000000000000000000000-4422-2-200000000000000000000000000000000000

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