Finite Group Databasebeta

← Group #13148475

Character table — Group #13148475

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size11112222224444444466666666121212121212121218181818181818181818181818182424242424242424242436363636363636363636363636363636363636363672727272
order122234466624661212121233666666366612121212444444444412121212666612121212121224444446612121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ31111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-111-1-1-1-1-1-1-1-111-1-111-11-11
χ41111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ51111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-11-1-11-11-111-1-1-1-111111111-1-1-1-1
χ61111111111-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-1-1111111-1-111-1-1-11-11
χ71111111111-1-1-1-1-1-1111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-111-1-1-11111-1-111-1-1111-11-1
χ81111111111-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111-11-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ911111-1-11111-111-1-1-1-1111111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111-1-1-1-1-1-111
χ1011111-1-11111-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-11-111-11111-1-111-1-1-1-111-111-1
χ1111111-1-11111-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-11-1-111111-1-1-1-11111-1-11-1-11
χ1211111-1-11111-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1111-11-1-1-1-1-111-1-1-1-1111111-1-1
χ1311111-1-1111-11-1-111-1-1111111111111-1-1-1-1111111-1-1111111-1-1-1-111-1-111-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ1411111-1-1111-11-1-111-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11111-1-11111-1-1-1-1111-1-11
χ1511111-1-1111-11-1-111-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-1111-1-111-1-111-1-11111-1-1-111-1
χ1611111-1-1111-11-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-11111-1-111-1-1-1-1-1-11111-1-111
χ172222222222222222222-122-1-12-1-1-1-1-122-1-1002200000000002-1-1-12-1-1-1-1-1002002200000000-1-100-1-10-10-1
χ182222222222222222222-122-1-12-1-1-1-1-122-1-100-2-200000000002-1-1-12-1-1-1-1-100-200-2-2000000001100110101
χ19222222222222222222-12-1-122-12-1-1-1-1-1-12222000000000000-12-1-1-12-1-1-1-10202200000000-1-100-1-100-10-10
χ20222222222222222222-12-1-122-12-1-1-1-1-1-122-2-2000000000000-12-1-1-12-1-1-1-10-20-2-200000000110011001010
χ212222222222-2-2-2-2-2-2222-122-1-12-1-1-1-1-122-1-100220000000000-2111-21-1-11100-2002-200000000-1-100-1-10101
χ222222222222-2-2-2-2-2-2222-122-1-12-1-1-1-1-122-1-100-2-20000000000-2111-21-1-11100200-22000000001100110-10-1
χ232222222222-2-2-2-2-2-222-12-1-122-12-1-1-1-1-1-122220000000000001-2111-2-1-1110-202-200000000-1-100-1-1001010
χ242222222222-2-2-2-2-2-222-12-1-122-12-1-1-1-1-1-122-2-20000000000001-2111-2-1-111020-220000000011001100-10-10
χ2522222-2-22222-222-2-2-2-22-122-1-12-1-1-1-1-1-2-211002200000000002-1-1-1-21111100-200-2200000000-1-10011010-1
χ2622222-2-22222-222-2-2-2-22-122-1-12-1-1-1-1-1-2-21100-2-200000000002-1-1-1-211111002002-2000000001100-1-10-101
χ2722222-2-22222-222-2-2-2-2-12-1-122-12-1-1-1-111-2-222000000000000-12-1-11-211110-20-2200000000-1-100110010-10
χ2822222-2-22222-222-2-2-2-2-12-1-122-12-1-1-1-111-2-2-2-2000000000000-12-1-11-211110202-2000000001100-1-100-1010
χ2922222-2-2222-22-2-222-2-22-122-1-12-1-1-1-1-1-2-21100220000000000-21112-111-1-100200-2-200000000-1-100110-101
χ3022222-2-2222-22-2-222-2-22-122-1-12-1-1-1-1-1-2-21100-2-20000000000-21112-111-1-100-20022000000001100-1-1010-1
χ3122222-2-2222-22-2-222-2-2-12-1-122-12-1-1-1-111-2-2220000000000001-211-1211-1-1020-2-200000000-1-1001100-1010
χ3222222-2-2222-22-2-222-2-2-12-1-122-12-1-1-1-111-2-2-2-20000000000001-211-1211-1-10-2022000000001100-1-10010-10
χ332-22-2200-2-2200000000222-22-2-2-22-22-200002i−2i2i−2i2-2000022-2-2000000000000000000000002i−2i2i−2i00000000
χ342-22-2200-2-2200000000222-22-2-2-22-22-200002i−2i−2i2i-220000-2-222000000000000000000000002i−2i−2i2i00000000
χ352-22-2200-2-2200000000222-22-2-2-22-22-20000−2i2i2i−2i-220000-2-22200000000000000000000000−2i2i2i−2i00000000
χ362-22-2200-2-2200000000222-22-2-2-22-22-20000−2i2i−2i2i2-2000022-2-200000000000000000000000−2i2i−2i2i00000000
χ372-2-2222i−2i-22-20000002i−2i22-2-2-2-22222-2-22i−2i2i−2i0000002i−2i2-200000000002i−2i000000000002-22i−2i000000000000
χ382-2-2222i−2i-22-20000002i−2i22-2-2-2-22222-2-22i−2i2i−2i000000−2i2i-2200000000002i−2i00000000000-22−2i2i000000000000
χ392-2-222−2i2i-22-2000000−2i2i22-2-2-2-22222-2-2−2i2i−2i2i0000002i−2i-220000000000−2i2i00000000000-222i−2i000000000000
χ402-2-222−2i2i-22-2000000−2i2i22-2-2-2-22222-2-2−2i2i−2i2i000000−2i2i2-20000000000−2i2i000000000002-2−2i2i000000000000
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
χ4544-4-44004-4-40000000044-44-44-4-44-4-4400000000000000000000000000000000000000000000000000000
χ4644-4-44004-4-4000000004-2-442-2-42-222-20000000000000000000000000000000000000000000000023−230000
χ4744-4-44004-4-4000000004-2-442-2-42-222-200000000000000000000000000000000000000000000000−23230000
χ4844-4-44004-4-400000000-242-2-442-4-222-200000000000000000000000000000000000000000000023−23000000
χ4944-4-44004-4-400000000-242-2-442-4-222-2000000000000000000000000000000000000000000000−2323000000
χ504-44-4400-4-44000000004-24-4-22-42-22-220000004i−4i00000000000000000000000000000000000−2i2i00000000
χ514-44-4400-4-44000000004-24-4-22-42-22-22000000−4i4i000000000000000000000000000000000002i−2i00000000
χ524-44-4400-4-4400000000-24-224-42-4-22-2200004i−4i00000000000000000000000000000000000−2i2i0000000000
χ534-44-4400-4-4400000000-24-224-42-4-22-220000−4i4i000000000000000000000000000000000002i−2i0000000000
χ544-4-4444i−4i-44-40000004i−4i4-2-4-4224-2-2-2224i−4i−2i2i00000000000000000000−2i2i000000000000000000000000000
χ554-4-4444i−4i-44-40000004i−4i-2422-4-4-24-2-222−2i2i4i−4i00000000000000000000−2i2i000000000000000000000000000
χ564-4-4444i−4i-44-40000004i−4i-2-22222-2-211-1-1−2i2i−2i2i00000000000000003-300i−i3i−3i0000000000000000000000000
χ574-4-4444i−4i-44-40000004i−4i-2-22222-2-211-1-1−2i2i−2i2i0000000000000000-3300i−i−3i3i0000000000000000000000000
χ584-4-444−4i4i-44-4000000−4i4i4-2-4-4224-2-2-222−4i4i2i−2i000000000000000000002i−2i000000000000000000000000000
χ594-4-444−4i4i-44-4000000−4i4i-2422-4-4-24-2-2222i−2i−4i4i000000000000000000002i−2i000000000000000000000000000
χ604-4-444−4i4i-44-4000000−4i4i-2-22222-2-211-1-12i−2i2i−2i00000000000000003-300−ii−3i3i0000000000000000000000000
χ614-4-444−4i4i-44-4000000−4i4i-2-22222-2-211-1-12i−2i2i−2i0000000000000000-3300−ii3i−3i0000000000000000000000000
χ626666-366-3-3-366-3-3-3-3-3-300000000000000000000222222-1-1-1-100000000002000000-1-1-1-1-1-1000000000000
χ636666-366-3-3-366-3-3-3-3-3-300000000000000000000-2-2-2-2-2-211110000000000-2000000111111000000000000
χ646666-366-3-3-3-6-63333-3-30000000000000000000022-2-2-2-2-1-1-1-100000000002000000-1-11111000000000000
χ656666-366-3-3-3-6-63333-3-300000000000000000000-2-2222211110000000000-200000011-1-1-1-1000000000000
χ666666-3-6-6-3-3-36-6-3-33333000000000000000000002222-2-2-1-1-1-10000000000-20000001111-1-1000000000000
χ676666-3-6-6-3-3-36-6-3-3333300000000000000000000-2-2-2-222111100000000002000000-1-1-1-111000000000000
χ686666-3-6-6-3-3-3-6633-3-3330000000000000000000022-2-222-1-1-1-10000000000-200000011-1-111000000000000
χ696666-3-6-6-3-3-3-6633-3-33300000000000000000000-2-222-2-2111100000000002000000-1-111-1-1000000000000
χ706-6-66-36i−6i3-3300−3i33i333−33−3i3i00000000000000000000002i−2i2-23−33−300000000000000000−i3i3-11−ii000000000000
χ716-6-66-36i−6i3-3300−3i33i333−33−3i3i0000000000000000000000−2i2i-22−33−3300000000000000000i3−i31-1i−i000000000000
χ726-6-66-36i−6i3-33003i3−3i3−3333−3i3i00000000000000000000002i−2i2-2−33−3300000000000000000i3−i3-11−ii000000000000
χ736-6-66-36i−6i3-33003i3−3i3−3333−3i3i0000000000000000000000−2i2i-223−33−300000000000000000−i3i31-1i−i000000000000
χ746-6-66-3−6i6i3-3300−3i33i3−33333i−3i00000000000000000000002i−2i-223−33−300000000000000000i3−i31-1−ii000000000000
χ756-6-66-3−6i6i3-3300−3i33i3−33333i−3i0000000000000000000000−2i2i2-2−33−3300000000000000000−i3i3-11i−i000000000000
χ766-6-66-3−6i6i3-33003i3−3i333−333i−3i00000000000000000000002i−2i-22−33−3300000000000000000−i3i31-1−ii000000000000
χ776-6-66-3−6i6i3-33003i3−3i333−333i−3i0000000000000000000000−2i2i2-23−33−300000000000000000i3−i3-11i−i000000000000
χ7888-8-88008-8-800000000-4-44-44-4442-2-2200000000000000000000000000000000000000000000000000000
χ798-88-8800-8-8800000000-4-4-44-44442-22-200000000000000000000000000000000000000000000000000000
χ801212-12-12-600-666000000000000000000000000000000000023−23−232300000000000000000000000000000000000
χ811212-12-12-600-6660000000000000000000000000000000000−232323−2300000000000000000000000000000000000
χ8212-1212-12-60066-600000000000000000000000000004-40000-2-22200000000000000000000000000000000000
χ8312-1212-12-60066-60000000000000000000000000000-44000022-2-200000000000000000000000000000000000

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