Finite Group Databasebeta

← Group #13149964

Character table — Group #13149964

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size112224444446666889912121212181818181818182424242424242424243636363636363636363636363636363648487272727272727272
order1234624812242433666122236121222444666612121224242424244444668881212122424612612121212122424
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-11-1-11111111111111-1-1-1-1-1-11-1-11-1-1111111-1-1-1-1-1-1
χ311111111111111111-1-111111-1-11-1-1-1111111111-1-111-1-11-1-11-1-11-1-1-111-1-111-1-11-1
χ411111111111111111-1-11111-11-1-11-1-1111111111-1-1-1-111-11-1-11-1-11-1-111-1-1-1-111-11
χ5111111-1-11-1-111111-1111111111111111-1-11-1-1-1-11-11-11-111-1-1-1111-1-11-11-11-11-1-1-1
χ6111111-1-11-1-111111-1111111-1-11-1-11111-1-11-1-1-1-11-1-11-11-1-1-1111-1-1-1-11-11-1-11-1111
χ7111111-1-11-1-111111-1-1-111111-1-11-1-1-111-1-11-1-1-1-1-111-1-111-11-11-11-1111-1-111-1-11-11
χ8111111-1-11-1-111111-1-1-11111-11-1-11-1-111-1-11-1-1-1-1-11-111-1-1111-1-1-11111-1-11-111-11-1
χ911111-11-11-1-11111-111111111111111-1-1111-1-1-1-1-11-11-1111-1-1-1111-1-1-11-11-11-11-1-1
χ1011111-11-11-1-11111-11111111-1-11-1-111-1-1111-1-1-1-1-111-11-1-1-1-1111-1-1-1-1-11-111-11-111
χ1111111-11-11-1-11111-11-1-111111-1-11-1-1-1-1-1111-1-1-1-11-1-111-11-11-11-11-111-111-1-111-1-11
χ1211111-11-11-1-11111-11-1-11111-11-1-11-1-1-1-1111-1-1-1-11-11-1-11-1111-1-1-1111-111-11-1-111-1
χ1311111-1-111111111-1-11111111111111-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ1411111-1-111111111-1-1111111-1-11-1-111-1-1-1-111111-1-11111-1-11-1-11-1-111-1-1-1-11111-1-1
χ1511111-1-111111111-1-1-1-111111-1-11-1-1-1-1-1-1-11111111-1-1111-1-11-1-11-1-1-1-1-111-1-1111-1
χ1611111-1-111111111-1-1-1-11111-11-1-11-1-1-1-1-1-1111111111-1-1-11-1-11-1-11-1-1-1-11111-1-1-11
χ17222222222222-12-12200-1-12-102002002-12-1-12-1-1-10000220-100200-100-1-10000-1-10-1
χ18222222222222-12-12200-1-12-10-200-2002-12-1-12-1-1-10000-2-20100-200100-1-100001101
χ1922222222222-12-122200-1-1-122002000-12-12-1-12-1-1002200-100200-1000-1-100-1-100-10
χ2022222222222-12-122200-1-1-12-200-2000-12-12-1-12-1-100-2-200100-2001000-1-100110010
χ21222222-2-22-2-22-12-12-200-1-12-102002002-1-21-1-211100002-20-100-200-100-110000-1101
χ22222222-2-22-2-22-12-12-200-1-12-10-200-2002-1-21-1-21110000-220100200100-1100001-10-1
χ23222222-2-22-2-2-12-122-200-1-1-122002000-121-2-11-211002-200-100-200-1000-1100-110010
χ24222222-2-22-2-2-12-122-200-1-1-12-200-2000-121-2-11-21100-22001002001000-11001-100-10
χ2522222-22-22-2-22-12-1-2200-1-12-10200200-212-1-1-21110000-220-100-200-1001-100001-101
χ2622222-22-22-2-22-12-1-2200-1-12-10-200-200-212-1-1-211100002-201002001001-10000-110-1
χ2722222-22-22-2-2-12-12-2200-1-1-1220020001-2-12-11-21100-2200-100-200-10001-1001-10010
χ2822222-22-22-2-2-12-12-2200-1-1-12-200-20001-2-12-11-211002-20010020010001-100-1100-10
χ2922222-2-222222-12-1-2-200-1-12-10200200-21-21-12-1-1-10000-2-20-100200-100110000110-1
χ3022222-2-222222-12-1-2-200-1-12-10-200-200-21-21-12-1-1-10000220100-200100110000-1-101
χ3122222-2-22222-12-12-2-200-1-1-1220020001-21-2-1-12-1-100-2-200-100200-100011001100-10
χ3222222-2-22222-12-12-2-200-1-1-12-200-20001-21-2-1-12-1-1002200100-20010001100-1-10010
χ33222-22000-2002222002222-2-222-2-2-2220000-2000000000022000-2-2-2000000000000
χ34222-22000-2002222002222-2-2-2-2-222220000-20000000000-2-2000-222000000000000
χ35222-22000-200222200-2-222-2-22-22-22-2-20000-200000000002-20002-22000000000000
χ36222-22000-200222200-2-222-2-2-2222-2-2-20000-20000000000-2200022-2000000000000
χ3744444444444-2-2-2-2440011-2-20000000-2-2-2-21-2-21100000000000000001100000000
χ38444444-4-44-4-4-2-2-2-24-40011-2-20000000-2-222122-1-100000000000000001-100000000
χ3944444-44-44-4-4-2-2-2-2-440011-2-2000000022-2-2122-1-10000000000000000-1100000000
χ4044444-4-44444-2-2-2-2-4-40011-2-2000000022221-2-2110000000000000000-1-100000000
χ41444-44000-4004-24-20000-2-2-420400-4000000200000000000-2000002000000000000
χ42444-44000-4004-24-20000-2-2-420-4004000000200000000000200000-2000000000000
χ43444-44000-400-24-240000-2-22-4400-4000000020000000000-20000020000000000000
χ44444-44000-400-24-240000-2-22-4-4004000000020000000000200000-20000000000000
χ454-440-400000044-4-4004-44-400000004-400000000000000000000000000000000000
χ464-440-400000044-4-400-444-40000000-4400000000000000000000000000000000000
χ4766-36-3666-3-3-30000-3-322000000200-1-100000000022000000200-100-1-100-1-1000000
χ4866-36-3666-3-3-30000-3-3-2-2000000-20011000000000-2-2000000-200100110011000000
χ4966-36-36-6-6-3330000-3322000000200-1-10000000002-2000000-200-1001100-11000000
χ5066-36-36-6-6-3330000-33-2-2000000-20011000000000-22000000200100-1-1001-1000000
χ5166-36-3-66-6-33300003-322000000200-1-1000000000-22000000-200-10011001-1000000
χ5266-36-3-66-6-33300003-3-2-2000000-200110000000002-2000000200100-1-100-11000000
χ5366-36-3-6-66-3-3-300003322000000200-1-1000000000-2-2000000200-100-1-10011000000
χ5466-36-3-6-66-3-3-3000033-2-2000000-2001100000000022000000-2001001100-1-1000000
χ55888-88000-800-4-4-4-40000224400000000000-2000000000000000000000000000000
χ568-880-80000008-4-840000-4400000000000000000000000000000000000000000000
χ578-880-8000000-484-80000-4400000000000000000000000000000000000000000000
χ588-880-8000000-4-44400002-20000000000000000−3i23i200000000000000000000000000
χ598-880-8000000-4-44400002-200000000000000003i2−3i200000000000000000000000000
χ601212-6-12-600060000000044000000-400-2-200000000000000000000200000000000000
χ611212-6-12-6000600000000-4-40000004002200000000000000000000-200000000000000
χ6212-12-606000036−360000004-4000000000-22000000000000000000000006−60000000000
χ6312-12-606000036−36000000-440000000002-200000000000000000000000−660000000000
χ6412-12-6060000−36360000004-4000000000-2200000000000000000000000−660000000000
χ6512-12-6060000−3636000000-440000000002-2000000000000000000000006−60000000000

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