Finite Group Databasebeta

← Group #13148696

Character table — Group #13148696

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size11112222224444444466666666121212121212121218181818181818181818181818182424242424242424242436363636363636363636363636363636363636363672727272
order122234466624661212121233666666366612121212224444444412121212666612121212121222444446666121212121212121212126121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1-11-1-1-111-1-1-1-111-1-1-1-111-1-1
χ31111111111111111111111111111111111-1-111-1-1111111111111111111-11-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-111-11-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111-1-1-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-111
χ61111111111-1-1-1-1-1-111111111111111111111-1-111-1-1111111-1-1-1-1-1-111-1-1-11-11-11-11111-1-1-1-1111111-1-1-1-1
χ71111111111-1-1-1-1-1-1111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1-1-1-1-1-11111-1-1111111-1-1
χ81111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111-11-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ911111-1-11111-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-11-11
χ1011111-1-11111-111-1-1-1-1111111111111-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-11-1-1-11-1-111-1-111-1-1-1-111-111-1
χ1111111-1-11111-111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-11111-1-111-1-111-1-1111-11-1
χ1211111-1-11111-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1111111-1-11-1-11
χ1311111-1-1111-11-1-111-1-1111111111111-1-1-1-1111111-1-1111111-1-1-1-111-1-1111-1-1-11-1-1-1-11111-1-1-1-1-1-1111-1-11
χ1411111-1-1111-11-1-111-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-111111-1-111-1-111-1-11-11-1
χ1511111-1-1111-11-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-111-111-1-1-1-111-1-11111-1-1-111-1
χ1611111-1-1111-11-1-111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-111-111-111-1-1-1-11111-1-111-11-11
χ172222222222222222222-1-122-1-12-1-1-1-122-1-1220000000000002-1-1-12-1-1-1-1-1202002000-1-10000-1-10000-1-100
χ182222222222222222222-1-122-1-12-1-1-1-122-1-1-2-20000000000002-1-1-12-1-1-1-1-1-20-200-20001100001100001100
χ19222222222222222222-122-1-122-1-1-1-1-1-1-12200002200000000-12-1-1-12-1-1-1-100022020000000000-1-1-1-100-1-1
χ20222222222222222222-122-1-122-1-1-1-1-1-1-1220000-2-200000000-12-1-1-12-1-1-1-1000-2-20-2000000000011110011
χ212222222222-2-2-2-2-2-2222-1-122-1-12-1-1-1-122-1-122000000000000-2111-21-1-111-20-2002000-1-10000-1-100001100
χ222222222222-2-2-2-2-2-2222-1-122-1-12-1-1-1-122-1-1-2-2000000000000-2111-21-1-11120200-2000110000110000-1-100
χ232222222222-2-2-2-2-2-222-122-1-122-1-1-1-1-1-1-122000022000000001-2111-2-1-1110002-20-20000000000-1-1-1-10011
χ242222222222-2-2-2-2-2-222-122-1-122-1-1-1-1-1-1-1220000-2-2000000001-2111-2-1-111000-22020000000000111100-1-1
χ2522222-2-22222-222-2-2-2-22-1-122-1-12-1-1-1-1-2-211220000000000002-1-1-1-211111-20200-2000-1-100001100001-100
χ2622222-2-22222-222-2-2-2-22-1-122-1-12-1-1-1-1-2-211-2-20000000000002-1-1-1-21111120-2002000110000-1-10000-1100
χ2722222-2-22222-222-2-2-2-2-122-1-122-1-1-1-1-111-2-200002200000000-12-1-11-21111000-2-202000000000011-1-100-11
χ2822222-2-22222-222-2-2-2-2-122-1-122-1-1-1-1-111-2-20000-2-200000000-12-1-11-21111000220-20000000000-1-111001-1
χ2922222-2-2222-22-2-222-2-22-1-122-1-12-1-1-1-1-2-21122000000000000-21112-111-1-120-200-2000-1-10000110000-1100
χ3022222-2-2222-22-2-222-2-22-1-122-1-12-1-1-1-1-2-211-2-2000000000000-21112-111-1-1-202002000110000-1-100001-100
χ3122222-2-2222-22-2-222-2-2-122-1-122-1-1-1-1-111-2-2000022000000001-211-1211-1-1000-220-2000000000011-1-1001-1
χ3222222-2-2222-22-2-222-2-2-122-1-122-1-1-1-1-111-2-20000-2-2000000001-211-1211-1-10002-2020000000000-1-11100-11
χ3322-2-22002-2-20000000022-22-22-2-22-22-200002-2002i−2i002i−2i2i2i−2i−2i00000000000000000002-2000000002i−2i0000
χ3422-2-22002-2-20000000022-22-22-2-22-22-200002-200−2i2i00−2i2i−2i−2i2i2i00000000000000000002-200000000−2i2i0000
χ3522-2-22002-2-20000000022-22-22-2-22-22-20000-22002i−2i00−2i2i−2i−2i2i2i0000000000000000000-22000000002i−2i0000
χ3622-2-22002-2-20000000022-22-22-2-22-22-20000-2200−2i2i002i−2i2i2i−2i−2i0000000000000000000-2200000000−2i2i0000
χ372-22-222i−2i-22-20000002i−2i222-2-2-2-2222-2-22i−2i2i−2i002-2002i−2i0000000000002i−2i00000000000002-22i−2i0000000000
χ382-22-222i−2i-22-20000002i−2i222-2-2-2-2222-2-22i−2i2i−2i00-2200−2i2i0000000000002i−2i0000000000000-22−2i2i0000000000
χ392-22-22−2i2i-22-2000000−2i2i222-2-2-2-2222-2-2−2i2i−2i2i002-200−2i2i000000000000−2i2i00000000000002-2−2i2i0000000000
χ402-22-22−2i2i-22-2000000−2i2i222-2-2-2-2222-2-2−2i2i−2i2i00-22002i−2i000000000000−2i2i0000000000000-222i−2i0000000000
χ41444444444444444444-2-2-2-2-2-2-2-21111-2-2-2-200000000000000-2-211-2-211110000000000000000000000000
χ424444444444-4-4-4-4-4-444-2-2-2-2-2-2-2-21111-2-2-2-20000000000000022-1-12211-1-10000000000000000000000000
χ4344444-4-44444-444-4-4-4-4-2-2-2-2-2-2-2-21111222200000000000000-2-21122-1-1-1-10000000000000000000000000
χ4444444-4-4444-44-4-444-4-4-2-2-2-2-2-2-2-2111122220000000000000022-1-1-2-2-1-1110000000000000000000000000
χ4544-4-44004-4-4000000004-224-4-22-4-22-2200004-40000000000000000000000000000000-2200000000000000
χ4644-4-44004-4-4000000004-224-4-22-4-22-220000-4400000000000000000000000000000002-200000000000000
χ4744-4-44004-4-400000000-24-4-224-42-22-22000000004i−4i0000000000000000000000000000000000000−2i2i0000
χ4844-4-44004-4-400000000-24-4-224-42-22-2200000000−4i4i00000000000000000000000000000000000002i−2i0000
χ494-44-444i−4i-44-40000004i−4i4-2-2-4-4224-2-2224i−4i−2i2i00000000000000000000−2i2i000000000000000000000000000
χ504-44-444i−4i-44-40000004i−4i-24422-4-4-2-2-222−2i2i4i−4i00000000000000000000−2i2i000000000000000000000000000
χ514-44-444i−4i-44-40000004i−4i-2-2-22222-211-1-1−2i2i−2i2i00000000000000003-300i−i3i−3i0000000000000000000000000
χ524-44-444i−4i-44-40000004i−4i-2-2-22222-211-1-1−2i2i−2i2i0000000000000000-3300i−i−3i3i0000000000000000000000000
χ534-44-44−4i4i-44-4000000−4i4i4-2-2-4-4224-2-222−4i4i2i−2i000000000000000000002i−2i000000000000000000000000000
χ544-44-44−4i4i-44-4000000−4i4i-24422-4-4-2-2-2222i−2i−4i4i000000000000000000002i−2i000000000000000000000000000
χ554-44-44−4i4i-44-4000000−4i4i-2-2-22222-211-1-12i−2i2i−2i00000000000000003-300−ii−3i3i0000000000000000000000000
χ564-44-44−4i4i-44-4000000−4i4i-2-2-22222-211-1-12i−2i2i−2i0000000000000000-3300−ii3i−3i0000000000000000000000000
χ574-4-44400-4-440000000044-4-44-44-44-4-4400000000000000000000000000000000000000000000000000000
χ584-4-44400-4-44000000004-22-442-2-4-222-20000000000000000000000000000000000000000000−2i32i300000000
χ594-4-44400-4-44000000004-22-442-2-4-222-200000000000000000000000000000000000000000002i3−2i300000000
χ604-4-44400-4-4400000000-24-42-2-442-222-200000000000000000000000000000000000000000000023−23000000
χ614-4-44400-4-4400000000-24-42-2-442-222-2000000000000000000000000000000000000000000000−2323000000
χ626666-366-3-3-366-3-3-3-3-3-300000000000000000022002222-1-1-1-100000000000200000-1-100-1-1-1-10000000000
χ636666-366-3-3-366-3-3-3-3-3-3000000000000000000-2-200-2-2-2-2111100000000000-200000110011110000000000
χ646666-366-3-3-3-6-63333-3-3000000000000000000220022-2-2111100000000000-2000001100-1-1-1-10000000000
χ656666-366-3-3-3-6-63333-3-3000000000000000000-2-200-2-222-1-1-1-100000000000200000-1-10011110000000000
χ666666-3-6-6-3-3-36-6-3-333330000000000000000002200-2-2-2-2111100000000000200000-1-100-1-1110000000000
χ676666-3-6-6-3-3-36-6-3-33333000000000000000000-2-2002222-1-1-1-100000000000-200000110011-1-10000000000
χ686666-3-6-6-3-3-3-6633-3-3330000000000000000002200-2-222-1-1-1-100000000000-2000001100-1-1110000000000
χ696666-3-6-6-3-3-3-6633-3-333000000000000000000-2-20022-2-2111100000000000200000-1-10011-1-10000000000
χ706-66-6-36i−6i3-3300−3i33i333−33−3i3i0000000000000000002-2002i−2i003−33−300000000000000000−i3i300-11−ii0000000000
χ716-66-6-36i−6i3-3300−3i33i333−33−3i3i000000000000000000-2200−2i2i00−33−3300000000000000000i3−i3001-1i−i0000000000
χ726-66-6-36i−6i3-33003i3−3i3−3333−3i3i0000000000000000002-2002i−2i00−33−3300000000000000000i3−i300-11−ii0000000000
χ736-66-6-36i−6i3-33003i3−3i3−3333−3i3i000000000000000000-2200−2i2i003−33−300000000000000000−i3i3001-1i−i0000000000
χ746-66-6-3−6i6i3-3300−3i33i3−33333i−3i0000000000000000002-200−2i2i00−33−3300000000000000000−i3i300-11i−i0000000000
χ756-66-6-3−6i6i3-3300−3i33i3−33333i−3i000000000000000000-22002i−2i003−33−300000000000000000i3−i3001-1−ii0000000000
χ766-66-6-3−6i6i3-33003i3−3i333−333i−3i0000000000000000002-200−2i2i003−33−300000000000000000i3−i300-11i−i0000000000
χ776-66-6-3−6i6i3-33003i3−3i333−333i−3i000000000000000000-22002i−2i00−33−3300000000000000000−i3i3001-1−ii0000000000
χ7888-8-88008-8-800000000-4-44-44-4442-22-200000000000000000000000000000000000000000000000000000
χ798-8-88800-8-8800000000-4-444-44-442-2-2200000000000000000000000000000000000000000000000000000
χ801212-12-12-600-666000000000000000000000000000000004i−4i−2i−2i2i2i00000000000000000000000000000000000
χ811212-12-12-600-66600000000000000000000000000000000−4i4i2i2i−2i−2i00000000000000000000000000000000000
χ8212-12-1212-60066-60000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000000000000
χ8312-12-1212-60066-600000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000000000000

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