Finite Group Databasebeta

← Group #13151392

Character table — Group #13151392

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11222222244444444666699121212121212121212121818181818181824242424242424242424363636363636363636363636363636367272727272727272
order122344666226666121233664436666612121212224121212126666666612122244446688881212121266121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-11111111111-1-1-1-1-1-1-111111111111-1-1-11-1-1-111-1-1-1-1-1-11-11-111-1-1
χ4111111111111111111111-1-11111111111-1-1-1-1-1-1-11111111111-11-1-1-11-1-1-1-111-1-1-1-1-11-11-1-111
χ5111111111-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ7111111111-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1-1-1-11111111-11-1-1-111
χ8111111111-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-11-1-111-1-11111-11-1111-1-1
χ911-11-11-1-111-111-1-11-11111111-1-1-1-11-1-1111-1-111-1-111-1-111-1-11-11-11-1-111-11-11-111-1-11-1-111-11-1
χ1011-11-11-1-111-111-1-11-11111111-1-1-1-11-1-1111-1-111-1-111-1-111-1-11-1-111-11-11-1-11-1111-1-1-111-1-11-11
χ1111-11-11-1-111-111-1-11-11111-1-11-1-1-1-11-1-111-111-1-11111-1-111-1-11-111-11-1-1-111-1-11-1-11111-1-11-1-11
χ1211-11-11-1-111-111-1-11-11111-1-11-1-1-1-11-1-111-111-1-11111-1-111-1-11-1-1-1-1111-11-111-1-1-111-1-111-111-1
χ1311-11-11-1-11-11-1-1111-11111111-1-1-1-11-1-1111-1-111-1-1-1-111-1-1111-11-1-11-111-1-11-11-1-1111-1-11-11-11
χ1411-11-11-1-11-11-1-1111-11111111-1-1-1-11-1-1111-1-111-1-1-1-111-1-1111-1-11-111-11-11-11-1-1-111-111-11-11-1
χ1511-11-11-1-11-11-1-1111-11111-1-11-1-1-1-11-1-111-111-1-111-1-111-1-1111-1111-1-1-1-11-111-111-1-111-1-1-111-1
χ1611-11-11-1-11-11-1-1111-11111-1-11-1-1-1-11-1-111-111-1-111-1-111-1-1111-1-1-11-111-111-1-1111-1-1-1-1111-1-11
χ17222222222222222222-12-100-12-1-1-1-12-12-100000002-12-1-1-1-1-1-1-102000200002200000-10-100-1-1
χ18222222222222222222-12-100-12-1-1-1-12-12-100000002-12-1-1-1-1-1-1-10-2000-20000-2-2000001010011
χ1922222222222222222-12-1200-1-12-1-1-1-12-120000000-12-12-1-1-1-1-1-12000200022000000-10-10-1-100
χ2022222222222222222-12-1200-1-12-1-1-1-12-120000000-12-12-1-1-1-1-1-1-2000-2000-2-200000010101100
χ21222222222-2-2-2-2-2-2222-12-100-12-1-1-1-12-12-10000000-21-211111-1-10200020000-2-200000-10-10011
χ22222222222-2-2-2-2-2-2222-12-100-12-1-1-1-12-12-10000000-21-211111-1-10-2000-20000220000010100-1-1
χ23222222222-2-2-2-2-2-222-12-1200-1-12-1-1-1-12-1200000001-21-21111-1-120002000-2-2000000-10-101100
χ24222222222-2-2-2-2-2-222-12-1200-1-12-1-1-1-12-1200000001-21-21111-1-1-2000-2000220000001010-1-100
χ252222-2-2222000000-2-2222222222222-2-2-2-2-2-22222200000000-2-2000000-2-20000000000000000
χ262222-2-2222000000-2-22222-2-2222222-2-2-2-222-2-2-2-2-200000000-2-2000000220000000000000000
χ2722-222-2-2-22000000-222222222-2-2-2-2222-2-2-22-222-2-200000000-22000000-220000000000000000
χ2822-222-2-2-22000000-222222-2-22-2-2-2-2222-2-22-22-2-22200000000-220000002-20000000000000000
χ2922-22-22-2-222-222-2-22-22-12-100-1-2111-1-212-100000002-1-21-1-111-1102000-20000-2200000-101001-1
χ3022-22-22-2-222-222-2-22-22-12-100-1-2111-1-212-100000002-1-21-1-111-110-2000200002-20000010-100-11
χ3122-22-22-2-222-222-2-22-2-12-1200-11-211-11-2-120000000-121-2-1-111-112000-20002-2000000-1010-1100
χ3222-22-22-2-222-222-2-22-2-12-1200-11-211-11-2-120000000-121-2-1-111-11-20002000-2200000010-101-100
χ3322-22-22-2-22-22-2-2222-22-12-100-1-2111-1-212-10000000-212-111-1-1-1102000-200002-200000-10100-11
χ3422-22-22-2-22-22-2-2222-22-12-100-1-2111-1-212-10000000-212-111-1-1-110-200020000-220000010-1001-1
χ3522-22-22-2-22-22-2-2222-2-12-1200-11-211-11-2-1200000001-2-1211-1-1-112000-2000-22000000-10101-100
χ3622-22-22-2-22-22-2-2222-2-12-1200-11-211-11-2-1200000001-2-1211-1-1-11-200020002-200000010-10-1100
χ3744444444444444444-2-2-2-2001-2-2111-2-2-2-20000000-2-2-2-2111111000000000000000000000000
χ38444444444-4-4-4-4-4-444-2-2-2-2001-2-2111-2-2-2-200000002222-1-1-1-111000000000000000000000000
χ394444-4-4444000000-4-44-24-200-24-2-2-2-2-42-4200000000000000022000000000000000000000000
χ404444-4-4444000000-4-4-24-2400-2-24-2-2-22-42-400000000000000022000000000000000000000000
χ414444-4-4444000000-4-4-2-2-2-2001-2-21112222000000000003-33-3-1-1000000000000000000000000
χ424444-4-4444000000-4-4-2-2-2-2001-2-2111222200000000000-33-33-1-1000000000000000000000000
χ4344-444-4-4-44000000-444-24-200-2-4222-24-2-420000000000000002-2000000000000000000000000
χ4444-444-4-4-44000000-44-24-2400-22-422-2-242-40000000000000002-2000000000000000000000000
χ4544-444-4-4-44000000-44-2-2-2-200122-1-11-2-222000000000003-3-33-11000000000000000000000000
χ4644-444-4-4-44000000-44-2-2-2-200122-1-11-2-22200000000000-333-3-11000000000000000000000000
χ4744-44-44-4-444-444-4-44-4-2-2-2-200122-1-1122-2-20000000-2-22211-1-11-1000000000000000000000000
χ4844-44-44-4-44-44-4-4444-4-2-2-2-200122-1-1122-2-2000000022-2-2-1-1111-1000000000000000000000000
χ494-4040000-40000000044-4-44i−4i40000-400000004i−4i000000000000000000000000000000000000
χ504-4040000-40000000044-4-4−4i4i40000-40000000−4i4i000000000000000000000000000000000000
χ51666-366-3-3-366-3-3-3-3-3-30000220000000000222-1-1-1-10000000000002200-1-10000-1-1-1-100000000
χ52666-366-3-3-366-3-3-3-3-3-30000-2-20000000000-2-2-21111000000000000-2-200110000111100000000
χ53666-366-3-3-3-6-63333-3-30000220000000000222-1-1-1-1000000000000-2-200-1-10000111100000000
χ54666-366-3-3-3-6-63333-3-30000-2-20000000000-2-2-211110000000000002200110000-1-1-1-100000000
χ55666-3-6-6-3-3-300−3i33i3−3i33i3330000220000000000-2-22-1-1-1-10000000000000000110000−i3i3−i3i300000000
χ56666-3-6-6-3-3-300−3i33i3−3i33i3330000-2-2000000000022-211110000000000000000-1-10000i3−i3i3−i300000000
χ57666-3-6-6-3-3-3003i3−3i33i3−3i3330000220000000000-2-22-1-1-1-10000000000000000110000i3−i3i3−i300000000
χ58666-3-6-6-3-3-3003i3−3i33i3−3i3330000-2-2000000000022-211110000000000000000-1-10000−i3i3−i3i300000000
χ5966-6-36-633-300−3i33i33i3−3i33-30000220000000000-22-2-1-11100000000000000001-10000−i3i3i3−i300000000
χ6066-6-36-633-300−3i33i33i3−3i33-30000-2-200000000002-2211-1-10000000000000000-110000i3−i3−i3i300000000
χ6166-6-36-633-3003i3−3i3−3i33i33-30000220000000000-22-2-1-11100000000000000001-10000i3−i3−i3i300000000
χ6266-6-36-633-3003i3−3i3−3i33i33-30000-2-200000000002-2211-1-10000000000000000-110000−i3i3i3−i300000000
χ6366-6-3-6633-36-6-3-333-3300002200000000002-2-2-1-1110000000000002-200-110000-1-11100000000
χ6466-6-3-6633-36-6-3-333-330000-2-20000000000-22211-1-1000000000000-22001-1000011-1-100000000
χ6566-6-3-6633-3-6633-3-3-3300002200000000002-2-2-1-111000000000000-2200-11000011-1-100000000
χ6666-6-3-6633-3-6633-3-3-330000-2-20000000000-22211-1-10000000000002-2001-10000-1-11100000000
χ678-8080000-8000000008-4-8400-400004000000000000000000000000000000000000000000000
χ688-8080000-800000000-484-800-400004000000000000000000000000000000000000000000000
χ698-8080000-800000000-4-444002006-6-2000000000000000000000000000000000000000000000
χ708-8080000-800000000-4-44400200-66-2000000000000000000000000000000000000000000000
χ7112-120-600−6i36i360000000000004i−4i0000000000000−2i2i23−230000000000000000000000000000000000
χ7212-120-600−6i36i36000000000000−4i4i00000000000002i−2i−23230000000000000000000000000000000000
χ7312-120-6006i3−6i360000000000004i−4i0000000000000−2i2i−23230000000000000000000000000000000000
χ7412-120-6006i3−6i36000000000000−4i4i00000000000002i−2i23−230000000000000000000000000000000000

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