Finite Group Databasebeta

← Group #260256

Character table — Group #260256

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444444448888888888888888888888888881616161616161616161616161616
order12222222444444444444444444444422444444444888888888888888844444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1
χ41111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-111-1-1-1-111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111
χ7111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ8111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1
χ91111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-11111-1-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-111-1-1
χ101111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-111111-111-1-1-1-111-1-111
χ111111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-111
χ121111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-111-1-1-1-111111111-1-1-1-1-11-1-1-1-1111111-1-1
χ131111111111111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-1-1-11111-1-111
χ141111111111111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-11111-1-111-1-1
χ151111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1
χ161111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111111-1-1-1-1-1-111
χ1722222222222-2-22222-2-22-2-2220000-2-200002200-2220000000000000000-2-2000000000000
χ1822222222222-2-22222-2-22-2-2220000-2-20000-2-200-2-2-2000000000000000022000000000000
χ1922222222222-2-2-2-2-2-2-2-2222-2-20000-2-2000022002-2-20000000000000000-22000000000000
χ2022222222222-2-2-2-2-2-2-2-2222-2-20000-2-20000-2-20022200000000000000002-2000000000000
χ2122222222-2-2-222222222-222-2-22222-2-222-2-200-2-2-200000000000000000000000000000000
χ2222222222-2-2-222222222-222-2-2-2-2-2-2-2-2-2-2220022-200000000000000000000000000000000
χ2322222222-2-2-222-2-2-2-222-2-2-2222222-2-2-2-22200-2-2200000000000000000000000000000000
χ2422222222-2-2-222-2-2-2-222-2-2-222-2-2-2-2-2-222-2-20022200000000000000000000000000000000
χ2522222222-2-2-2-2-22222-2-2-2-2-2-2-2000022000000002000000000000000000002-2002-2000000
χ2622222222-2-2-2-2-22222-2-2-2-2-2-2-200002200000000200000000000000000000-2200-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222200002200000000-2000000000000000000002-200-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222200002200000000-200000000000000000000-22002-2000000
χ2922-222-2-2-22-2-20022-2-2002002-200000000002i−2i0002i−2ii2i2−i2−i2i2i2−i2−i222−2−222−2−200000000000000
χ3022-222-2-2-22-2-20022-2-2002002-200000000002i−2i0002i−2i−i2−i2i2i2−i2−i2i2i2−2−222−2−22200000000000000
χ3122-222-2-2-22-2-20022-2-2002002-20000000000−2i2i000−2i2ii2i2−i2−i2i2i2−i2−i2−2−222−2−22200000000000000
χ3222-222-2-2-22-2-20022-2-2002002-20000000000−2i2i000−2i2i−i2−i2i2i2−i2−i2i2i222−2−222−2−200000000000000
χ3322-222-2-2-22-2-200-2-22200200-2200000000002i−2i000−2i2ii2i2−i2−i2−i2−i2i2i222−2−2−2−22200000000000000
χ3422-222-2-2-22-2-200-2-22200200-2200000000002i−2i000−2i2i−i2−i2i2i2i2i2−i2−i2−2−22222−2−200000000000000
χ3522-222-2-2-22-2-200-2-22200200-220000000000−2i2i0002i−2ii2i2−i2−i2−i2−i2i2i2−2−22222−2−200000000000000
χ3622-222-2-2-22-2-200-2-22200200-220000000000−2i2i0002i−2i−i2−i2i2i2i2i2−i2−i222−2−2−2−22200000000000000
χ3722-2-2-22-2222-22-200002-2-200002i2i−2i−2i-220000002i−2i00000002i−2i2i−2i00000000000000002-20000
χ3822-2-2-22-2222-22-200002-2-200002i2i−2i−2i-220000002i−2i0000000−2i2i−2i2i0000000000000000-220000
χ3922-2-2-22-2222-22-200002-2-20000−2i−2i2i2i-22000000−2i2i00000002i−2i2i−2i0000000000000000-220000
χ4022-2-2-22-2222-22-200002-2-20000−2i−2i2i2i-22000000−2i2i0000000−2i2i−2i2i00000000000000002-20000
χ4122-2-2-22-22-2-222-200002-2200002i2i−2i−2i2-2000000−2i2i0002-22-200000000000000002i−2i00000000
χ4222-2-2-22-22-2-222-200002-2200002i2i−2i−2i2-2000000−2i2i000-22-220000000000000000−2i2i00000000
χ4322-2-2-22-22-2-222-200002-220000−2i−2i2i2i2-20000002i−2i0002-22-20000000000000000−2i2i00000000
χ4422-2-2-22-22-2-222-200002-220000−2i−2i2i2i2-20000002i−2i000-22-2200000000000000002i−2i00000000
χ452-2-22-222-20002-22i−2i2i−2i-2202i−2i002i−2i2i−2i002-2000000000000000002−22−2i2−i2i2−i20000000000i2−i22−2
χ462-2-22-222-20002-22i−2i2i−2i-2202i−2i002i−2i2i−2i002-200000000000000000−22−22−i2i2−i2i20000000000−i2i2−22
χ472-2-22-222-20002-22i−2i2i−2i-2202i−2i00−2i2i−2i2i00-22000000000000000002−22−2i2−i2i2−i20000000000−i2i2−22
χ482-2-22-222-20002-22i−2i2i−2i-2202i−2i00−2i2i−2i2i00-2200000000000000000−22−22−i2i2−i2i20000000000i2−i22−2
χ492-2-22-222-20002-2−2i2i−2i2i-220−2i2i002i−2i2i−2i00-22000000000000000002−22−2−i2i2−i2i20000000000i2−i2−22
χ502-2-22-222-20002-2−2i2i−2i2i-220−2i2i002i−2i2i−2i00-2200000000000000000−22−22i2−i2i2−i20000000000−i2i22−2
χ512-2-22-222-20002-2−2i2i−2i2i-220−2i2i00−2i2i−2i2i002-2000000000000000002−22−2−i2i2−i2i20000000000−i2i22−2
χ522-2-22-222-20002-2−2i2i−2i2i-220−2i2i00−2i2i−2i2i002-200000000000000000−22−22i2−i2i2−i20000000000i2−i2−22
χ53444-4-4-44-44-4400000000-4000000000000000000000000022−22−22220000000000000000000000
χ54444-4-4-44-44-4400000000-40000000000000000000000000−222222−220000000000000000000000
χ55444-4-4-44-4-44-40000000040000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ56444-4-4-44-4-44-4000000004000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ5744-444-4-4-4-4440044-4-400-400-4400000000000000000000000000000000000000000000000
χ5844-444-4-4-4-44400-4-44400-4004-400000000000000000000000000000000000000000000000
χ5944-4-4-44-4444-4-440000-44-4000000004-400000000000000000000000000000000000000000
χ6044-4-4-44-44-4-44-440000-44400000000-4400000000000000000000000000000000000000000
χ614-444-4-4-44000004i−4i−4i4i000000000000000000000000000000002-2-222i−2i−2i2i00000000000000
χ624-444-4-4-44000004i−4i−4i4i00000000000000000000000000000000-222-2−2i2i2i−2i00000000000000
χ634-444-4-4-4400000−4i4i4i−4i000000000000000000000000000000002-2-22−2i2i2i−2i00000000000000
χ644-444-4-4-4400000−4i4i4i−4i00000000000000000000000000000000-222-22i−2i−2i2i00000000000000
χ654-44-444-4-4000440000-4-4000004-4-440000000000000000000000000000000000000000000
χ664-44-444-4-4000440000-4-400000-444-40000000000000000000000000000000000000000000
χ674-44-444-4-4000-4-400004400000000000004i−4i0000000000000000000000000000000000000
χ684-44-444-4-4000-4-40000440000000000000−4i4i0000000000000000000000000000000000000
χ694-4-44-444-4000-444i−4i4i−4i4-40−4i4i0000000000000000000000000000000000000000000000000
χ704-4-44-444-4000-44−4i4i−4i4i4-404i−4i0000000000000000000000000000000000000000000000000
χ718-8-8-88-888000000000000000000000000000000000000000000000000000000000000000

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