Finite Group Databasebeta

← Group #13165605

Character table — Group #13165605

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11112222444444448888888812121218182424242424242424242424242424242424242424243636363636363636363654547272727272108108
order1222366633666666336666664444441212121212121212121212121212121212121212448812122424242444266121288
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-111-1-111-1-111111111-1-1-1-111-1-111-1-1-1-111-1-1-111-1-1
χ311111111111111111111111111-11111111-1-11111-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-111-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-111
χ5111111111111111111111111-1-11111-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111-1-1-1-1
χ6111111111111111111111111-1-1111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111
χ7111111111111111111111111-1-1-1111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111-1-1
χ9222222222222222222222222002-2-20000022000022000000000000-2-20000-2-20000000
χ1022222222222222222222222200-2-2-200000-2-20000-2-2000000000000-2-20000220000000
χ112222-1-1-1-122222222-1-1-1-1-1-1-1-1220222-1-1-1-100222200-1-1-1-1-1-1-1-10022-1-1-1-1-1-1000000000
χ122222-1-1-1-122222222-1-1-1-1-1-1-1-122022-2-1-11100-2-22200-1-1-1-1111100-2-2-1-11111000000000
χ132222-1-1-1-122222222-1-1-1-1-1-1-1-1-2-2022211-1-10022-2-2001111-1-1-1-100-2-2-1-11111000000000
χ142222-1-1-1-122222222-1-1-1-1-1-1-1-1-2-2022-2111100-2-2-2-200111111110022-1-1-1-1-1-1000000000
χ1522-2-22-22-222-2-22-22-2222-2-2-22-20000000000000000000000000000−i2i200−i2−i2i2i22i−2i000002−2
χ1622-2-22-22-222-2-22-22-2222-2-2-22-20000000000000000000000000000−i2i200−i2−i2i2i2−2i2i00000−22
χ1722-2-22-22-222-2-22-22-2222-2-2-22-20000000000000000000000000000i2−i200i2i2−i2−i22i−2i00000−22
χ1822-2-22-22-222-2-22-22-2222-2-2-22-20000000000000000000000000000i2−i200i2i2−i2−i2−2i2i000002−2
χ192-2-222-2-2222-2-2-22-2222-22-2-2-22000-220000000000000000000002-200-220000000002-200
χ202-2-222-2-2222-2-2-22-2222-22-2-2-22000-22000000000000000000000-2200-22000000000-2200
χ212-2-222-2-2222-2-2-22-2222-22-2-2-222i−2i02-202i−2i0000002i−2i002i2i−2i−2i000000002-20000000000000
χ222-2-222-2-2222-2-2-22-2222-22-2-2-22−2i2i02-20−2i2i000000−2i2i00−2i−2i2i2i000000002-20000000000000
χ232-2-22-111-122-2-2-22-22-1-11-1111-12i−2i02-20−ii−i3i300002i−2i00−i−iii−i3−i3i3i30000-113−33−3000000000
χ242-2-22-111-122-2-2-22-22-1-11-1111-12i−2i02-20−iii3−i300002i−2i00−i−iiii3i3−i3−i30000-11−33−33000000000
χ252-2-22-111-122-2-2-22-22-1-11-1111-1−2i2i02-20i−i−i3i30000−2i2i00ii−i−i−i3−i3i3i30000-11−33−33000000000
χ262-2-22-111-122-2-2-22-22-1-11-1111-1−2i2i02-20i−ii3−i30000−2i2i00ii−i−ii3i3−i3−i30000-113−33−3000000000
χ27444444441-21-2-2-2111-2-211-21-22240002200-2-200-1-111-1-1-1-10000220000000000000-1-100
χ28444444441-21-2-2-2111-2-211-21-222-400022002200-1-1-1-1-1-1-1-10000-2-200000000000001100
χ29444444441-21-2-2-2111-2-211-21-2-2-24000-2-200-2-200111111110000-2-200000000000001100
χ30444444441-21-2-2-2111-2-211-21-2-2-2-4000-2-200220011-1-111110000220000000000000-1-100
χ3144444444-21-2111-2-2-211-2-21-21004002002211-1-100-2-20000-1-1-1-10000000000002-1-10000
χ3244444444-21-2111-2-2-211-2-21-2100400-200-2-2111100-2-200001111000000000000-2110000
χ3344444444-21-2111-2-2-211-2-21-2100-40020022-1-1-1-100220000-1-1-1-1000000000000-2110000
χ3444444444-21-2111-2-2-211-2-21-2100-400-200-2-2-1-1110022000011110000000000002-1-10000
χ354444-2-2-2-244444444-2-2-2-2-2-2-2-2000-4-40000000000000000000000000220000000000000
χ3644-4-4-22-2244-4-44-44-4-2-2-2222-220000000000000000000000000000−2i22i200i2i2−i2−i2000000000
χ3744-4-4-22-2244-4-44-44-4-2-2-2222-2200000000000000000000000000002i2−2i200−i2−i2i2i2000000000
χ384-44-444-4-44444-4-4-4-444-4-444-4-4000000000000000000000000000000000000000000000
χ394-44-444-4-4-21-21-1-122-21-12-212-100000000003i−3i3−3000000003−33−30000000000000−i3i30000
χ404-44-444-4-4-21-21-1-122-21-12-212-100000000003i−3i−3300000000−33−330000000000000i3−i30000
χ414-44-444-4-4-21-21-1-122-21-12-212-10000000000−3i3i3−3000000003−33−30000000000000i3−i30000
χ424-44-444-4-4-21-21-1-122-21-12-212-10000000000−3i3i−3300000000−33−330000000000000−i3i30000
χ434-44-4-2-2224444-4-4-4-4-2-222-2-22200000000000000000000000000000000i6−i6−i6i6000000000
χ444-44-4-2-2224444-4-4-4-4-2-222-2-22200000000000000000000000000000000−i6i6i6−i6000000000
χ454-4-444-4-441-2-122-2-111-221-12-1-22i−2i00002i−2i000000−ii3i−3i−i−iii00002-20000000000000-1100
χ464-4-444-4-441-2-122-2-111-221-12-1-22i−2i00002i−2i000000−ii−3i3i−i−iii0000-2200000000000001-100
χ474-4-444-4-441-2-122-2-111-221-12-1-2−2i2i0000−2i2i000000i−i3i−3iii−i−i0000-2200000000000001-100
χ484-4-444-4-441-2-122-2-111-221-12-1-2−2i2i0000−2i2i000000i−i−3i3iii−i−i00002-20000000000000-1100
χ494-4-44-222-244-4-4-44-44-2-22-2222-2000-4400000000000000000000000002-20000000000000
χ508888-4-4-4-42-42-4-4-422-122-1-12-12440000-2-2000000-2-200111100000000000000000000000
χ518888-4-4-4-42-42-4-4-422-122-1-12-12-4-40000220000002200-1-1-1-100000000000000000000000
χ528888-4-4-4-4-42-4222-4-42-1-122-12-100000400-2-200-2-20000000011110000000000000000000
χ538888-4-4-4-4-42-4222-4-42-1-122-12-100000-40022002200000000-1-1-1-10000000000000000000
χ5488-8-88-88-82-4-24-442-22-4-4-2-2424000000000000000000000000000000000000000000000
χ5588-8-88-88-8-424-22-2-44-42244-2-4-2000000000000000000000000000000000000000000000
χ5688-8-8-44-442-4-24-442-2-12211-2-1-20000000000000000003-33-300000000000000000000000
χ5788-8-8-44-442-4-24-442-2-12211-2-1-2000000000000000000-33-3300000000000000000000000
χ5888-8-8-44-44-424-22-2-442-1-1-2-212100000000000000000000003i−3i−3i3i0000000000000000000
χ5988-8-8-44-44-424-22-2-442-1-1-2-21210000000000000000000000−3i3i3i−3i0000000000000000000
χ608-88-888-8-82-42-444-2-22-44-22-4-24000000000000000000000000000000000000000000000
χ618-88-8-4-4442-42-444-2-2-12-21-121-20000000000000000003i−3i−3i3i00000000000000000000000
χ628-88-8-4-4442-42-444-2-2-12-21-121-2000000000000000000−3i3i3i−3i00000000000000000000000
χ638-88-8-4-444-42-42-2-2442-11-22-1-2100000000000023−2300000000−33−330000000000000000000
χ648-88-8-4-444-42-42-2-2442-11-22-1-21000000000000−2323000000003−33−30000000000000000000
χ658-8-888-8-88-424-2-224-4-42-2-44-242000000000000000000000000000000000000000000000
χ668-8-88-444-42-4-244-4-22-12-2-11-2124i−4i0000−2i2i000000−2i2i00ii−i−i00000000000000000000000
χ678-8-88-444-42-4-244-4-22-12-2-11-212−4i4i00002i−2i0000002i−2i00−i−iii00000000000000000000000
χ688-8-88-444-4-424-2-224-42-112-21-2-100000000−2i32i3000000000000i3i3−i3−i30000000000000000000
χ698-8-88-444-4-424-2-224-42-112-21-2-1000000002i3−2i3000000000000−i3−i3i3i30000000000000000000

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