Finite Group Databasebeta

← Group #13165546

Character table — Group #13165546

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11112222444444448888888812121218182424242424242424242424242424242424242424243636363636363636363654547272727272108108
order12223666336666663366666622444466666666121212121212121212121212228812122424242422466121288
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-111111111-1-111-1-111-1-1-1-111-1-111-1-1-1-111-111-1-1-1-1
χ311111111111111111111111111-11111111111111-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11111
χ5111111111111111111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1111-1-111-1-1
χ6111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-1-111
χ7111111111111111111111111-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1-1-1-1-1-111-1-111
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
χ9222222222222222222222222002-2-20000000000022002200000000-2-20000-2-20000000
χ1022222222222222222222222200-2-2-200000000000-2-200-2-200000000-2-20000220000000
χ112222-1-1-1-122222222-1-1-1-1-1-1-1-1220222-1-122-1-1-1-1-1-1002200-1-1-1-10022-1-1-1-1-1-1000000000
χ122222-1-1-1-122222222-1-1-1-1-1-1-1-122022-2-1-122-1-1-1-11100-2-200111100-2-2-1-11111000000000
χ132222-1-1-1-122222222-1-1-1-1-1-1-1-1-2-2022211-2-21111-1-1002200-1-1-1-100-2-2-1-11111000000000
χ142222-1-1-1-122222222-1-1-1-1-1-1-1-1-2-2022-211-2-211111100-2-20011110022-1-1-1-1-1-1000000000
χ1522-2-222-2-22222-2-2-2-2222-22-2-2-20000000000000000000000000000−i2i200−i2−i2i2i22-200000−i2i2
χ1622-2-222-2-22222-2-2-2-2222-22-2-2-20000000000000000000000000000−i2i200−i2−i2i2i2-2200000i2−i2
χ1722-2-222-2-22222-2-2-2-2222-22-2-2-20000000000000000000000000000i2−i200i2i2−i2−i22-200000i2−i2
χ1822-2-222-2-22222-2-2-2-2222-22-2-2-20000000000000000000000000000i2−i200i2i2−i2−i2-2200000−i2i2
χ192-2-222-2-2222-2-2-2-22222-22-22-2-20002-20000000000000000000002-200-2200000002-20000
χ202-2-222-2-2222-2-2-2-22222-22-22-2-20002-2000000000000000000000-2200-220000000-220000
χ212-2-222-2-2222-2-2-2-22222-22-22-2-22-20-2202-22-222-2-200000000000000002-20000000000000
χ222-2-222-2-2222-2-2-2-22222-22-22-2-2-220-220-22-22-2-22200000000000000002-20000000000000
χ232-2-22-111-122-2-2-2-222-1-11-11-1112-20-220-112-2-1-1113−300000033−3−30000-113−33−3000000000
χ242-2-22-111-122-2-2-2-222-1-11-11-1112-20-220-112-2-1-111−33000000−3−3330000-11−33−33000000000
χ252-2-22-111-122-2-2-2-222-1-11-11-111-220-2201-1-2211-1-13−300000033−3−30000-11−33−33000000000
χ262-2-22-111-122-2-2-2-222-1-11-11-111-220-2201-1-2211-1-1−33000000−3−3330000-113−33−3000000000
χ27444444441-21-2-21-211-211-2-2-210040020000000022-2-2-1-111-1-1-1-1000000000000200-1-100
χ28444444441-21-2-21-211-211-2-2-2100400-200000000-2-2-2-211111111000000000000-2001100
χ29444444441-21-2-21-211-211-2-2-2100-4002000000002222-1-1-1-1-1-1-1-1000000000000-2001100
χ30444444441-21-2-21-211-211-2-2-2100-400-200000000-2-22211-1-11111000000000000200-1-100
χ3144444444-21-211-21-2-21-2-2111-222400022-1-1-1-1-1-1001100-2-200002200000000000-1-10000
χ3244444444-21-211-21-2-21-2-2111-222-400022-1-1-1-1-1-100-1-100220000-2-200000000000110000
χ3344444444-21-211-21-2-21-2-2111-2-2-24000-2-2111111001100-2-20000-2-200000000000110000
χ3444444444-21-211-21-2-21-2-2111-2-2-2-4000-2-211111100-1-1002200002200000000000-1-10000
χ354444-2-2-2-244444444-2-2-2-2-2-2-2-2000-4-40000000000000000000000000220000000000000
χ3644-4-4-2-2224444-4-4-4-4-2-2-22-22220000000000000000000000000000−2i22i200i2i2−i2−i2000000000
χ3744-4-4-2-2224444-4-4-4-4-2-2-22-222200000000000000000000000000002i2−2i200−i2−i2i2i2000000000
χ384-44-44-44-41-2-12-212-11-2-1-122-21000000000000000000−i3i33i−3i−i3i3−i3i30000000000000003−300
χ394-44-44-44-41-2-12-212-11-2-1-122-21000000000000000000−i3i3−3i3i−i3i3−i3i3000000000000000−3300
χ404-44-44-44-41-2-12-212-11-2-1-122-21000000000000000000i3−i33i−3ii3−i3i3−i3000000000000000−3300
χ414-44-44-44-41-2-12-212-11-2-1-122-21000000000000000000i3−i3−3i3ii3−i3i3−i30000000000000003−300
χ424-44-44-44-444-4-444-4-444-4-4-4-444000000000000000000000000000000000000000000000
χ434-44-4-22-2244-4-444-4-4-2-22222-2-200000000000000000000000000000000i6−i6−i6i6000000000
χ444-44-4-22-2244-4-444-4-4-2-22222-2-200000000000000000000000000000000−i6i6i6−i6000000000
χ454-4-444-4-44-212-1-121-2-212-2-11-122-200002-2-11-1-111003-3000000002-200000000000-110000
χ464-4-444-4-44-212-1-121-2-212-2-11-122-200002-2-11-1-11100-3300000000-22000000000001-10000
χ474-4-444-4-44-212-1-121-2-212-2-11-12-220000-221-111-1-1003-300000000-22000000000001-10000
χ484-4-444-4-44-212-1-121-2-212-2-11-12-220000-221-111-1-100-33000000002-200000000000-110000
χ494-4-44-222-244-4-4-4-444-2-22-22-2220004-400000000000000000000000002-20000000000000
χ508888-4-4-4-42-42-4-42-42-12-1-1222-100000400000000-2-200-2-20011110000000000000000000
χ518888-4-4-4-42-42-4-42-42-12-1-1222-100000-40000000022002200-1-1-1-10000000000000000000
χ528888-4-4-4-4-42-422-42-42-122-1-1-12440000-2-2-2-211110000000000000000000000000000000
χ538888-4-4-4-4-42-422-42-42-122-1-1-12-4-400002222-1-1-1-10000000000000000000000000000000
χ5488-8-888-8-82-42-44-24-22-42-2-444-2000000000000000000000000000000000000000000000
χ5588-8-888-8-8-42-42-24-24-42-442-2-24000000000000000000000000000000000000000000000
χ5688-8-8-4-4442-42-44-24-2-12-112-2-2100000000000000000000003i−3i−3i3i0000000000000000000
χ5788-8-8-4-4442-42-44-24-2-12-112-2-210000000000000000000000−3i3i3i−3i0000000000000000000
χ5888-8-8-4-444-42-42-24-242-12-2-111-200000000003-33-30000000000000000000000000000000
χ5988-8-8-4-444-42-42-24-242-12-2-111-20000000000-33-330000000000000000000000000000000
χ608-88-88-88-8-424-22-4-24-4244-2-22-4000000000000000000000000000000000000000000000
χ618-88-8-44-442-4-24-424-2-1211-2-22-1000000000000000000−2i32i300i3−i3i3−i30000000000000000000
χ628-88-8-44-442-4-24-424-2-1211-2-22-10000000000000000002i3−2i300−i3i3−i3i30000000000000000000
χ638-88-8-44-44-424-22-4-242-1-2-211-1200000000003-3-330000000000000000000000000000000
χ648-88-8-44-44-424-22-4-242-1-2-211-120000000000-333-30000000000000000000000000000000
χ658-8-888-8-882-4-244-2-422-4-224-44-2000000000000000000000000000000000000000000000
χ668-8-88-444-42-4-244-2-42-121-1-22-210000000000000023−23000000−3−3330000000000000000000
χ678-8-88-444-42-4-244-2-42-121-1-22-2100000000000000−232300000033−3−30000000000000000000
χ688-8-88-444-4-424-2-242-42-1-221-11-24-40000-22-2211-1-10000000000000000000000000000000
χ698-8-88-444-4-424-2-242-42-1-221-11-2-4400002-22-2-1-1110000000000000000000000000000000

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