Finite Group Databasebeta

← Group #13165586

Character table — Group #13165586

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11112222444444448888888812121218182424242424242424242424242424242424242424243636363636363636363654547272727272108108
order1222366633666666336666664444441212121212121212121212121212121212121212228812122424242444466121288
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-111-1-1111111-1-11111-1-1-1-111-1-111-1-1-1-111-111-1-1-1-1
χ31111111111111111111111111-1-1111-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111-1-111-1-1
χ41111111111111111111111111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111
χ5111111111111111111111111-1111111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-11111-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11111
χ7111111111111111111111111-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-111-1-111
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
χ9222222222222222222222222200-2-20000022220000000000000000-2-20000-2-20000000
χ10222222222222222222222222-200-2-200000-2-2-2-20000000000000000-2-20000220000000
χ112222-1-1-1-122222222-1-1-1-1-1-1-1-1022222-1-1-1-100002222-1-1-1-1-1-1-1-10022-1-1-1-1-1-1000000000
χ122222-1-1-1-122222222-1-1-1-1-1-1-1-102222-2-1-111000022-2-2-1-1-1-1111100-2-2-1-11111000000000
χ132222-1-1-1-122222222-1-1-1-1-1-1-1-10-2-222211-1-10000-2-2221111-1-1-1-100-2-2-1-11111000000000
χ142222-1-1-1-122222222-1-1-1-1-1-1-1-10-2-222-211110000-2-2-2-2111111110022-1-1-1-1-1-1000000000
χ152-22-22-22-2222-2-22-2-2222-2-2-22-20000000000000000000000000000−i2i200−i2−i2i2i22-200000−i2i2
χ162-22-22-22-2222-2-22-2-2222-2-2-22-20000000000000000000000000000−i2i200−i2−i2i2i2-2200000i2−i2
χ172-22-22-22-2222-2-22-2-2222-2-2-22-20000000000000000000000000000i2−i200i2i2−i2−i22-200000i2−i2
χ182-22-22-22-2222-2-22-2-2222-2-2-22-20000000000000000000000000000i2−i200i2i2−i2−i2-2200000−i2i2
χ192-2-222-2-2222-22-2-2-2222-22-2-2-22000-220000000000000000000002-200-2200000002-20000
χ202-2-222-2-2222-22-2-2-2222-22-2-2-22000-22000000000000000000000-2200-220000000-220000
χ212-2-222-2-2222-22-2-2-2222-22-2-2-2202i−2i2-202i−2i0000002i−2i002i2i−2i−2i000000002-20000000000000
χ222-2-222-2-2222-22-2-2-2222-22-2-2-220−2i2i2-20−2i2i000000−2i2i00−2i−2i2i2i000000002-20000000000000
χ232-2-22-111-122-22-2-2-22-1-11-1111-102i−2i2-20−ii−i3i300002i−2i00−i−iii−i3−i3i3i30000-113−33−3000000000
χ242-2-22-111-122-22-2-2-22-1-11-1111-102i−2i2-20−iii3−i300002i−2i00−i−iiii3i3−i3−i30000-11−33−33000000000
χ252-2-22-111-122-22-2-2-22-1-11-1111-10−2i2i2-20i−i−i3i30000−2i2i00ii−i−i−i3−i3i3i30000-11−33−33000000000
χ262-2-22-111-122-22-2-2-22-1-11-1111-10−2i2i2-20i−ii3−i30000−2i2i00ii−i−ii3i3−i3−i30000-113−33−3000000000
χ27444444441-21-21-2-211-21-21-2-21400002002211-2-200-1-10000-1-1-1-1000000000000200-1-100
χ28444444441-21-21-2-211-21-21-2-2140000-200-2-211-2-2001100001111000000000000-2001100
χ29444444441-21-21-2-211-21-21-2-21-4000020022-1-12200-1-10000-1-1-1-1000000000000-2001100
χ30444444441-21-21-2-211-21-21-2-21-40000-200-2-2-1-122001100001111000000000000200-1-100
χ3144444444-21-21-211-2-21-21-211-24220002200-2-211-1-100-1-1-1-100002200000000000-1-10000
χ3244444444-21-21-211-2-21-21-211-24-2-2000-2-200-2-211110011110000-2-200000000000110000
χ3344444444-21-21-211-2-21-21-211-2-422000220022-1-1-1-100-1-1-1-10000-2-200000000000110000
χ3444444444-21-21-211-2-21-21-211-2-4-2-2000-2-20022-1-11100111100002200000000000-1-10000
χ354444-2-2-2-244444444-2-2-2-2-2-2-2-2000-4-40000000000000000000000000220000000000000
χ3644-4-444-4-41-2-1212-2-11-2-121-22-100000000003-300003−300003−33−30000000000000003−300
χ3744-4-444-4-41-2-1212-2-11-2-121-22-100000000003-30000−330000−33−33000000000000000−3300
χ3844-4-444-4-41-2-1212-2-11-2-121-22-10000000000-3300003−300003−33−3000000000000000−3300
χ3944-4-444-4-41-2-1212-2-11-2-121-22-10000000000-330000−330000−33−330000000000000003−300
χ4044-4-444-4-444-4-44-44-444-4-444-4-4000000000000000000000000000000000000000000000
χ4144-4-4-2-22244-4-44-44-4-2-222-2-22200000000000000000000000000000000i6−i6−i6i6000000000
χ4244-4-4-2-22244-4-44-44-4-2-222-2-22200000000000000000000000000000000−i6i6i6−i6000000000
χ434-44-4-22-22444-4-44-4-4-2-2-2222-220000000000000000000000000000−2i22i200i2i2−i2−i2000000000
χ444-44-4-22-22444-4-44-4-4-2-2-2222-2200000000000000000000000000002i2−2i200−i2−i2i2i2000000000
χ454-4-444-4-44-21212-1-1-2-21212-1-1-202i−2i0002i−2i00003i−3i−ii00−i−iii00002-200000000000-110000
χ464-4-444-4-44-21212-1-1-2-21212-1-1-202i−2i0002i−2i0000−3i3i−ii00−i−iii0000-22000000000001-10000
χ474-4-444-4-44-21212-1-1-2-21212-1-1-20−2i2i000−2i2i00003i−3ii−i00ii−i−i0000-22000000000001-10000
χ484-4-444-4-44-21212-1-1-2-21212-1-1-20−2i2i000−2i2i0000−3i3ii−i00ii−i−i00002-200000000000-110000
χ494-4-44-222-244-44-4-4-44-2-22-2222-2000-4400000000000000000000000002-20000000000000
χ508888-4-4-4-42-42-42-4-42-12-12-122-100000400-2-2000000-2-2000011110000000000000000000
χ518888-4-4-4-42-42-42-4-42-12-12-122-100000-40022000000220000-1-1-1-10000000000000000000
χ528888-4-4-4-4-42-42-422-42-12-12-1-12044000-2-2000000-2-200111100000000000000000000000
χ538888-4-4-4-4-42-42-422-42-12-12-1-120-4-4000220000002200-1-1-1-100000000000000000000000
χ5488-8-888-8-8-424-2-4-224-424-2-42-24000000000000000000000000000000000000000000000
χ5588-8-8-4-4442-4-2424-4-2-121-2-12-21000000000000000023−230000−33−330000000000000000000
χ5688-8-8-4-4442-4-2424-4-2-121-2-12-210000000000000000−232300003−33−30000000000000000000
χ5788-8-8-4-444-424-2-4-2242-1-212-11-20000000000000000003i−3i3i−3i00000000000000000000000
χ5888-8-8-4-444-424-2-4-2242-1-212-11-2000000000000000000−3i3i−3i3i00000000000000000000000
χ598-88-88-88-82-424-2-44-22-424-24-4-2000000000000000000000000000000000000000000000
χ608-88-88-88-8-42-4-242-24-42-4-24-224000000000000000000000000000000000000000000000
χ618-88-8-44-442-424-2-44-2-12-1-21-22100000000000000000000003i−3i−3i3i0000000000000000000
χ628-88-8-44-442-424-2-44-2-12-1-21-2210000000000000000000000−3i3i3i−3i0000000000000000000
χ638-88-8-44-44-42-4-242-242-121-21-1-20000000000000000003-3-3300000000000000000000000
χ648-88-8-44-44-42-4-242-242-121-21-1-2000000000000000000-333-300000000000000000000000
χ658-8-888-8-882-4-2-4-24422-4-2-4-2442000000000000000000000000000000000000000000000
χ668-8-88-444-42-4-2-4-2442-12121-2-2-100000000−2i32i3000000000000i3i3−i3−i30000000000000000000
χ678-8-88-444-42-4-2-4-2442-12121-2-2-1000000002i3−2i3000000000000−i3−i3i3i30000000000000000000
χ688-8-88-444-4-42424-2-2-42-1-2-1-211204i−4i000−2i2i000000−2i2i00ii−i−i00000000000000000000000
χ698-8-88-444-4-42424-2-2-42-1-2-1-21120−4i4i0002i−2i0000002i−2i00−i−iii00000000000000000000000

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