Finite Group Databasebeta

← Group #10778216

Character table — Group #10778216

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222244444446666888888888888881212121212121212161616161616161616162424242424242432324848
order1222344446664881212121244442488888881224242424244444882261224242424242488888886644
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1111-1-11111111111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-11111111111-1-1-1-111-1-1-1-11111-1-11-1-11111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111-1-1
χ61111111111111111111-1-1-1-111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11111-1-111
χ71111111111111111111-1-1-1-1-1-111-1-111111111-1-11111-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-11111-1-111-1-1-1-1-1-1-1-1-111111111-1-1
χ91111111111111-1-1111111111111-1-1-1-1-11-1-1-1-1111111-1-11-11111-1-1-1-1-1-1-111-1-11-11-1
χ101111111111111-1-11111111111-1-1-1-1-1111-1-1-1-1111111-1-1-1111-1-111-1-1-1-1-1-1-111-11-11
χ111111111111111-1-111111111-1-11111-1-1-11-1-1-1-111-1-1-1-1-1-1-11-1-111-1-111-11111-1-1-11-11
χ121111111111111-1-111111111-1-1-1-111-1111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-11111-111-1-1111-11-1
χ131111111111111-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-1111-1-1111-1-11
χ141111111111111-1-11111-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1111-1-111-1-111111-1-1-111-1
χ151111111111111-1-11111-1-1-1-1-1-11111-1-1-11-1-1-1-1-1-1111111-11-1-111-1-1111-1-1-1-111-111-1
χ161111111111111-1-11111-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-11111111-1-1-1-1-111111-1-111-1-11-1-11
χ17222222-2-22222-200-222-222-2-22-20000000-200002-222-2-200002-200000000000000000
χ18222222-2-22222-200-222-222-2-2-220000000-200002-2-2-2220000-2200000000000000000
χ19222222-2-22222-200-222-2-2-2222-20000000-20000-22-2-22200002-200000000000000000
χ20222222-2-22222-200-222-2-2-222-220000000-20000-2222-2-20000-2200000000000000000
χ2122222-222-2222-2222-2-222222000000-200-2-2-222-2-20000220000000000-20000000000
χ2222222-222-2222-2222-2-22-2-2-2-2000000-200-2-2-222220000-2-2000000000020000000000
χ2322222-222-2222-2-2-22-2-222222000000200-222-2-2-2-20000-2-2000000000020000000000
χ2422222-222-2222-2-2-22-2-22-2-2-2-2000000200-222-2-2220000220000000000-20000000000
χ2522222-2-2-2-2222200-2-2-2-222-2-200002i−2i00020000-22000000000000002i−2i02i−2i00000000
χ2622222-2-2-2-2222200-2-2-2-222-2-20000−2i2i00020000-2200000000000000−2i2i0−2i2i00000000
χ2722222-2-2-2-2222200-2-2-2-2-2-22200002i−2i000200002-2000000000000002i−2i0−2i2i00000000
χ2822222-2-2-2-2222200-2-2-2-2-2-2220000−2i2i000200002-200000000000000−2i2i02i−2i00000000
χ292222-12222-1-1-1222-1-1-1-10000222222222-1-1-1-1-10000000022-1-1-1-1-1-1-1-10000000-1-100
χ302222-12222-1-1-1222-1-1-1-1000022-2-2222-2-2-1-1-1-1-100000000-2-2-1-11111-1-100000001100
χ312222-12222-1-1-1222-1-1-1-10000-2-222-2-2222-1-1-1-1-100000000-2-211-1-1-1-11100000001100
χ322222-12222-1-1-1222-1-1-1-10000-2-2-2-2-2-22-2-2-1-1-1-1-10000000022111111110000000-1-100
χ332222-12222-1-1-12-2-2-1-1-1-100002222-2-2-2-2-2-11111000000002-2-1-1-1-111110000000-1100
χ342222-12222-1-1-12-2-2-1-1-1-1000022-2-2-2-2-222-1111100000000-22-1-111-1-11100000001-100
χ352222-12222-1-1-12-2-2-1-1-1-10000-2-22222-2-2-2-1111100000000-2211-1-111-1-100000001-100
χ362222-12222-1-1-12-2-2-1-1-1-10000-2-2-2-222-222-11111000000002-21111-1-1-1-10000000-1100
χ3722-2-2202-20-2-2202-2-20022i−2i2i−2i002−20002−20002-20000002i−2i00002−22−200000−i2i2−i2i20000
χ3822-2-2202-20-2-2202-2-20022i−2i2i−2i00−22000−220002-20000002i−2i0000−22−2200000i2−i2i2−i20000
χ3922-2-2202-20-2-2202-2-2002−2i2i−2i2i002−20002−20002-2000000−2i2i00002−22−200000i2−i2i2−i20000
χ4022-2-2202-20-2-2202-2-2002−2i2i−2i2i00−22000−220002-2000000−2i2i0000−22−2200000−i2i2−i2i20000
χ4122-2-2202-20-2-220-22-20022i−2i2i−2i002−2000−22000-22000000−2i2i00002−2−2200000−i2i2i2−i20000
χ4222-2-2202-20-2-220-22-20022i−2i2i−2i00−220002−2000-22000000−2i2i0000−222−200000i2−i2−i2i20000
χ4322-2-2202-20-2-220-22-2002−2i2i−2i2i002−2000−22000-220000002i−2i00002−2−2200000i2−i2−i2i20000
χ4422-2-2202-20-2-220-22-2002−2i2i−2i2i00−220002−2000-220000002i−2i0000−222−200000−i2i2i2−i20000
χ454444-24-4-44-2-2-2-4002-2-2200004-40000000200000000000000-2200000000000000000
χ464444-24-4-44-2-2-2-4002-2-220000-4400000002000000000000002-200000000000000000
χ474444-2-444-4-2-2-2-444-222-20000000000-400222-2-200000000000000000000000000000
χ484444-2-444-4-2-2-2-4-4-4-222-200000000004002-2-22200000000000000000000000000000
χ494444-2-4-4-4-4-2-2-24002222000000004i−4i000-200000000000000000000−2i2i00000000000
χ504444-2-4-4-4-4-2-2-2400222200000000−4i4i000-2000000000000000000002i−2i00000000000
χ5144-4-440-440-4-44000400-44i−4i−4i4i0000000000000000000000000000000000000000000
χ5244-4-440-440-4-44000400-4−4i4i4i−4i0000000000000000000000000000000000000000000
χ5344-4-4-204-4022-204-4200-200000022−2200022−22000-22000000000000−22−220000000000000
χ5444-4-4-204-4022-204-4200-2000000−2222000−2222000-220000000000002−22−20000000000000
χ5544-4-4-204-4022-20-44200-200000022−22000−22220002-2000000000000−222−20000000000000
χ5644-4-4-204-4022-20-44200-2000000−222200022−220002-20000000000002−2−220000000000000
χ574-44-44400-44-4-400004-4000000000000000000000004i−4i00000000000000000000000
χ584-44-44400-44-4-400004-400000000000000000000000−4i4i00000000000000000000000
χ594-44-44-40044-4-40000-440000000000000000000004-40000000000000000000000000
χ604-44-44-40044-4-40000-44000000000000000000000-440000000000000000000000000
χ6188-8-8-40-88044-4000-400400000000000000000000000000000000000000000000000
χ628-88-8-4800-8-4440000-44000000000000000000000000000000000000000000000000
χ638-88-8-4-8008-44400004-4000000000000000000000000000000000000000000000000
χ648-8-8880000-88-8000000000000000000000000000000000000000000000000000000
χ658-8-88-400004-440000000000000000000002i6−2i60000000000000000000000000000000
χ668-8-88-400004-44000000000000000000000−2i62i60000000000000000000000000000000

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