Finite Group Databasebeta

← Group #13148522

Character table — Group #13148522

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size11112222224444444466666666121212121212121218181818181818181818181818182424242424242424242436363636363636363636363636363636363636363672727272
order1222344666246612121212336666663666121212124444444444121212126666121212121212222444466121212121212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-111111111111111-1-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-111-1-1-1-1-1-1-1-111-1-1-111-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-11-1-111-1-1-1-1-1-1-1-111-1-1111-1-11
χ51111111111-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1-11-11111-1-111-1-111-1-11-1-11
χ61111111111-1-1-1-111-1-1111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11-11-1-111-1-11111-1-111-111-1
χ71111111111-1-1-1-111-1-11111111111111111-1-111-1-111111111-1-1-1-1-1-111-1-11-1-11-1-1111-1-111-1-1111111-1-1-1-1
χ81111111111-1-1-1-111-1-11111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-111111-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ911111-1-11111-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-1111111-1-1
χ1011111-1-11111-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-1111-1111111-1-111-1-1-1-1-1-111
χ1111111-1-11111-111-1-1-1-1111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1111111-1-1-11-11
χ1211111-1-11111-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11-11-11-1111-1-1-1-111-1-1-1-1111-11-1
χ1311111-1-1111-11-1-1-1-111111111111111-1-1-1-11111-1-111111111-1-1-1-111-1-111-1-11-11-1-1-1-111-1-1-1-11111-1-11-11-1
χ1411111-1-1111-11-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1111111-1-1-1-1-1-1-1-111-11-11
χ1511111-1-1111-11-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-11111-1-11111-1-111
χ1611111-1-1111-11-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-1111111-1-1-1-111-1-1
χ172222222222222222222-1-122-1-12-1-1-1-122-1-1002200000000002-1-1-1-12-1-1-1-12200200-1-100000000-1-1000-1-10
χ182222222222222222222-1-122-1-12-1-1-1-122-1-100-2-200000000002-1-1-1-12-1-1-1-1-2-200-200110000000011000110
χ19222222222222222222-122-1-122-1-1-1-1-1-1-12200000000220000-12-1-12-1-1-1-1-1002002200000000-1-100-1-1-100-1
χ20222222222222222222-122-1-122-1-1-1-1-1-1-12200000000-2-20000-12-1-12-1-1-1-1-100-200-2-2000000001100111001
χ212222222222-2-2-2-222-2-22-1-122-1-12-1-1-1-122-1-100220000000000-21111-2-1-1112-200-200-1-100000000-1-1000110
χ222222222222-2-2-2-222-2-22-1-122-1-12-1-1-1-122-1-100-2-20000000000-21111-2-1-111-2200200110000000011000-1-10
χ232222222222-2-2-2-222-2-2-122-1-122-1-1-1-1-1-1-122000000002200001-211-21-1-11100-200-2200000000-1-100-1-11001
χ242222222222-2-2-2-222-2-2-122-1-122-1-1-1-1-1-1-12200000000-2-200001-211-21-1-111002002-200000000110011-100-1
χ2522222-2-22222-222-2-2-2-22-1-122-1-12-1-1-1-1-2-211002200000000002-1-1-11-21111-2200-2001100000000-1-1000-110
χ2622222-2-22222-222-2-2-2-22-1-122-1-12-1-1-1-1-2-21100-2-200000000002-1-1-11-211112-200200-1-100000000110001-10
χ2722222-2-22222-222-2-2-2-2-122-1-122-1-1-1-1-111-2-200000000220000-12-1-1-21111100-2002-200000000-1-10011100-1
χ2822222-2-22222-222-2-2-2-2-122-1-122-1-1-1-1-111-2-200000000-2-20000-12-1-1-21111100200-22000000001100-1-1-1001
χ2922222-2-2222-22-2-2-2-2222-1-122-1-12-1-1-1-1-2-21100220000000000-2111-1211-1-1-2-2002001100000000-1-10001-10
χ3022222-2-2222-22-2-2-2-2222-1-122-1-12-1-1-1-1-2-21100-2-20000000000-2111-1211-1-12200-200-1-10000000011000-110
χ3122222-2-2222-22-2-2-2-222-122-1-122-1-1-1-1-111-2-2000000002200001-2112-111-1-100200-2-200000000-1-10011-1001
χ3222222-2-2222-22-2-2-2-222-122-1-122-1-1-1-1-111-2-200000000-2-200001-2112-111-1-100-20022000000001100-1-1100-1
χ3322-2-22002-2-20000000022-22-22-2-22-22-20000002-2002i−2i2i−2i2i2i−2i−2i00000000000000000000000002i−2i2-2000000
χ3422-2-22002-2-20000000022-22-22-2-22-22-20000002-200−2i2i−2i2i−2i−2i2i2i0000000000000000000000000−2i2i2-2000000
χ3522-2-22002-2-20000000022-22-22-2-22-22-2000000-22002i−2i−2i2i2i2i−2i−2i0000000000000000000000000−2i2i-22000000
χ3622-2-22002-2-20000000022-22-22-2-22-22-2000000-2200−2i2i2i−2i−2i−2i2i2i00000000000000000000000002i−2i-22000000
χ372-22-222i−2i-2-2200002i−2i00222-22-2-2-222-2-22i−2i2i−2i2i−2i002-2000000000000002i−2i000000000002i−2i002-20000000000
χ382-22-222i−2i-2-2200002i−2i00222-22-2-2-222-2-22i−2i2i−2i−2i2i00-22000000000000002i−2i00000000000−2i2i00-220000000000
χ392-22-22−2i2i-2-220000−2i2i00222-22-2-2-222-2-2−2i2i−2i2i2i−2i00-2200000000000000−2i2i000000000002i−2i00-220000000000
χ402-22-22−2i2i-2-220000−2i2i00222-22-2-2-222-2-2−2i2i−2i2i−2i2i002-200000000000000−2i2i00000000000−2i2i002-20000000000
χ41444444444444444444-2-2-2-2-2-2-2-21111-2-2-2-200000000000000-2-211-2-211110000000000000000000000000
χ424444444444-4-4-4-444-4-4-2-2-2-2-2-2-2-21111-2-2-2-20000000000000022-1-12211-1-10000000000000000000000000
χ4344444-4-44444-444-4-4-4-4-2-2-2-2-2-2-2-21111222200000000000000-2-21122-1-1-1-10000000000000000000000000
χ4444444-4-4444-44-4-4-4-444-2-2-2-2-2-2-2-2111122220000000000000022-1-1-2-2-1-1110000000000000000000000000
χ4544-4-44004-4-4000000004-224-4-22-4-22-220000004-40000000000000000000000000000000000000-22000000
χ4644-4-44004-4-4000000004-224-4-22-4-22-22000000-4400000000000000000000000000000000000002-2000000
χ4744-4-44004-4-400000000-24-4-224-42-22-220000000000004i−4i00000000000000000000000000000−2i2i00000000
χ4844-4-44004-4-400000000-24-4-224-42-22-22000000000000−4i4i000000000000000000000000000002i−2i00000000
χ494-44-444i−4i-4-4400004i−4i004-2-2-4422-4-2-2224i−4i−2i2i00000000000000000000−2i2i000000000000000000000000000
χ504-44-444i−4i-4-4400004i−4i00-2442-2-4-42-2-222−2i2i4i−4i00000000000000000000−2i2i000000000000000000000000000
χ514-44-444i−4i-4-4400004i−4i00-2-2-22-222211-1-1−2i2i−2i2i00000000000000003-300i−i3i−3i0000000000000000000000000
χ524-44-444i−4i-4-4400004i−4i00-2-2-22-222211-1-1−2i2i−2i2i0000000000000000-3300i−i−3i3i0000000000000000000000000
χ534-44-44−4i4i-4-440000−4i4i004-2-2-4422-4-2-222−4i4i2i−2i000000000000000000002i−2i000000000000000000000000000
χ544-44-44−4i4i-4-440000−4i4i00-2442-2-4-42-2-2222i−2i−4i4i000000000000000000002i−2i000000000000000000000000000
χ554-44-44−4i4i-4-440000−4i4i00-2-2-22-222211-1-12i−2i2i−2i00000000000000003-300−ii−3i3i0000000000000000000000000
χ564-44-44−4i4i-4-440000−4i4i00-2-2-22-222211-1-12i−2i2i−2i0000000000000000-3300−ii3i−3i0000000000000000000000000
χ574-4-44400-44-40000000044-4-4-4-4444-4-4400000000000000000000000000000000000000000000000000000
χ584-4-44400-44-4000000004-22-4-42-24-222-200000000000000000000000000000000000−2i32i30000000000000000
χ594-4-44400-44-4000000004-22-4-42-24-222-2000000000000000000000000000000000002i3−2i30000000000000000
χ604-4-44400-44-400000000-24-422-44-2-222-200000000000000000000000000000000000000000000000−2i32i30000
χ614-4-44400-44-400000000-24-422-44-2-222-2000000000000000000000000000000000000000000000002i3−2i30000
χ626666-366-3-3-366-3-3-3-3-3-300000000000000002200222200-1-1-1-10000000000000200000-1-1-1-1-1-10000000000
χ636666-366-3-3-366-3-3-3-3-3-30000000000000000-2-200-2-2-2-20011110000000000000-2000001111110000000000
χ646666-366-3-3-3-6-633-3-3330000000000000000220022-2-20011110000000000000-200000-1-111-1-10000000000
χ656666-366-3-3-3-6-633-3-3330000000000000000-2-200-2-22200-1-1-1-1000000000000020000011-1-1110000000000
χ666666-3-6-6-3-3-36-6-3-3333300000000000000002200-2-2-2-20011110000000000000200000-1-1-1-1110000000000
χ676666-3-6-6-3-3-36-6-3-333330000000000000000-2-200222200-1-1-1-10000000000000-2000001111-1-10000000000
χ686666-3-6-6-3-3-3-663333-3-300000000000000002200-2-22200-1-1-1-10000000000000-200000-1-111110000000000
χ696666-3-6-6-3-3-3-663333-3-30000000000000000-2-20022-2-2001111000000000000020000011-1-1-1-10000000000
χ706-66-6-36i−6i33-300−3i33i3−3i3i33−3300000000000000002i−2i002-20000−i3i3−i3i30000000000000000000−ii3−3-110000000000
χ716-66-6-36i−6i33-300−3i33i3−3i3i33−330000000000000000−2i2i00-220000i3−i3i3−i30000000000000000000i−i−331-10000000000
χ726-66-6-36i−6i33-3003i3−3i3−3i3i−333300000000000000002i−2i002-20000i3−i3i3−i30000000000000000000−ii−33-110000000000
χ736-66-6-36i−6i33-3003i3−3i3−3i3i−33330000000000000000−2i2i00-220000−i3i3−i3i30000000000000000000i−i3−31-10000000000
χ746-66-6-3−6i6i33-300−3i33i33i−3i−333300000000000000002i−2i00-220000i3−i3i3−i30000000000000000000−ii3−31-10000000000
χ756-66-6-3−6i6i33-300−3i33i33i−3i−33330000000000000000−2i2i002-20000−i3i3−i3i30000000000000000000i−i−33-110000000000
χ766-66-6-3−6i6i33-3003i3−3i33i−3i33−3300000000000000002i−2i00-220000−i3i3−i3i30000000000000000000−ii−331-10000000000
χ776-66-6-3−6i6i33-3003i3−3i33i−3i33−330000000000000000−2i2i002-20000i3−i3i3−i30000000000000000000i−i3−3-110000000000
χ7888-8-88008-8-800000000-4-44-44-4442-22-200000000000000000000000000000000000000000000000000000
χ798-8-88800-88-800000000-4-44444-4-42-2-2200000000000000000000000000000000000000000000000000000
χ801212-12-12-600-6660000000000000000000000000000004i−4i00−2i−2i2i2i00000000000000000000000000000000000
χ811212-12-12-600-666000000000000000000000000000000−4i4i002i2i−2i−2i00000000000000000000000000000000000
χ8212-12-1212-6006-66000000000000000000000000000000000023−23−232300000000000000000000000000000000000
χ8312-12-1212-6006-660000000000000000000000000000000000−232323−2300000000000000000000000000000000000

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