Finite Group Databasebeta

← Group #349769

Character table — Group #349769

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444448888888888888888888888888888816161616161616163232
order12222222444444444444444444444444222222444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-111
χ6111111111111111111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ7111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-11111-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ911111111111111111-1-1-1-11111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ1011111111111111111-1-1-1-11111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ1111111111111111111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-111-1-1-1-111-11
χ1211111111111111111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-11111-1-11111-1-11-1
χ1311111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1111111-1-1-1-111-111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ1411111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1111111-1-1-1-111-111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ1511111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1111111-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-11
χ1611111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1
χ172222222222-2-222-2-2-222-2-22222222222-2-2-20000-2-2000000-2000000000000000000000000
χ182222222222-2-222-2-2-222-2-2-2-2-2-2-2-2-2-222-222000022000000-2000000000000000000000000
χ192222222222-2-222-2-2-2-2-2222222-2-2-2-2-2-2-2-2-20000220000002000000000000000000000000
χ202222222222-2-222-2-2-2-2-222-2-2-2-22222-2-2-2220000-2-20000002000000000000000000000000
χ2122222222-2-222-2-222-2222200000000-2-2-20000000022-2-222-2-2-20000000000000000000000
χ2222222222-2-222-2-222-2222200000000-2-2-200000000-2-222-2-2-2220000000000000000000000
χ2322222222-2-222-2-222-2-2-2-2-20000000022-20000000022-2-2-2-22220000000000000000000000
χ2422222222-2-222-2-222-2-2-2-2-20000000022-200000000-2-222222-2-20000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-200000000-2-220022-2-20000000020022-2-2000000000000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-200000000-2-2200-2-22200000000200-2-222000000000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-222000000002220022-2-200000000-200-2-222000000000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-2220000000022200-2-22200000000-20022-2-2000000000000000000
χ29222-22-2-2-22222-2-2-2-22000022-2-2000000-22-22-22-2002-22-2000000000000000000000000000
χ30222-22-2-2-22222-2-2-2-22000022-2-2000000-22-2-22-2200-22-22000000000000000000000000000
χ31222-22-2-2-22222-2-2-2-220000-2-222000000-2-222-22-200-22-22000000000000000000000000000
χ32222-22-2-2-22222-2-2-2-220000-2-222000000-2-22-22-22002-22-2000000000000000000000000000
χ33222-22-2-2-222-2-2-2-222-2000022-2-20000002-2200000000002i−2i02i−2i2i−2i2i−2i000000000000000000
χ34222-22-2-2-222-2-2-2-222-2000022-2-20000002-220000000000−2i2i0−2i2i−2i2i−2i2i000000000000000000
χ35222-22-2-2-222-2-2-2-222-20000-2-22200000022-200000000002i−2i02i−2i−2i2i−2i2i000000000000000000
χ36222-22-2-2-222-2-2-2-222-20000-2-22200000022-20000000000−2i2i0−2i2i2i−2i2i−2i000000000000000000
χ37222-22-2-2-2-2-22222-2-2-2000000002i2i−2i−2i0020000002i−2i2-2-22000002i−2i−2i2i000000000000000000
χ38222-22-2-2-2-2-22222-2-2-2000000002i2i−2i−2i0020000002i−2i-222-200000−2i2i2i−2i000000000000000000
χ39222-22-2-2-2-2-22222-2-2-200000000−2i−2i2i2i002000000−2i2i2-2-2200000−2i2i2i−2i000000000000000000
χ40222-22-2-2-2-2-22222-2-2-200000000−2i−2i2i2i002000000−2i2i-222-2000002i−2i−2i2i000000000000000000
χ41222-22-2-2-2-2-2-2-222222000000002i2i−2i−2i00-2002-2-22−2i2i00002i−2i0−2i2i0000000000000000000000
χ42222-22-2-2-2-2-2-2-222222000000002i2i−2i−2i00-200-222-2−2i2i0000−2i2i02i−2i0000000000000000000000
χ43222-22-2-2-2-2-2-2-22222200000000−2i−2i2i2i00-2002-2-222i−2i0000−2i2i02i−2i0000000000000000000000
χ44222-22-2-2-2-2-2-2-22222200000000−2i−2i2i2i00-200-222-22i−2i00002i−2i0−2i2i0000000000000000000000
χ4522-2-2-222-22-2002-20002i−2i002i−2i2i−2i2-22-22i−2i000000000000000000000022−2−2i2i2−i2−i2i2−i22−2000000
χ4622-2-2-222-22-2002-20002i−2i002i−2i2i−2i2-22-22i−2i0000000000000000000000−2−222−i2−i2i2i2−i2i2−22000000
χ4722-2-2-222-22-2002-20002i−2i00−2i2i−2i2i-22-222i−2i000000000000000000000022−2−2i2i2−i2−i2−i2i2−22000000
χ4822-2-2-222-22-2002-20002i−2i00−2i2i−2i2i-22-222i−2i0000000000000000000000−2−222−i2−i2i2i2i2−i22−2000000
χ4922-2-2-222-22-2002-2000−2i2i002i−2i2i−2i-22-22−2i2i000000000000000000000022−2−2−i2−i2i2i2i2−i2−22000000
χ5022-2-2-222-22-2002-2000−2i2i002i−2i2i−2i-22-22−2i2i0000000000000000000000−2−222i2i2−i2−i2−i2i22−2000000
χ5122-2-2-222-22-2002-2000−2i2i00−2i2i−2i2i2-22-2−2i2i000000000000000000000022−2−2−i2−i2i2i2−i2i22−2000000
χ5222-2-2-222-22-2002-2000−2i2i00−2i2i−2i2i2-22-2−2i2i0000000000000000000000−2−222i2i2−i2−i2i2−i2−22000000
χ5344-44-4-4-444-400-4400000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ5444-44-4-4-444-400-440000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ5544-44-4-4-44-44004-4000000000004i−4i−4i4i000000000000000000000000000000000000000000
χ5644-44-4-4-44-44004-400000000000−4i4i4i−4i000000000000000000000000000000000000000000
χ5744-4-4-444-4-4400-440004i−4i0000000000−4i4i0000000000000000000000000000000000000000
χ5844-4-4-444-4-4400-44000−4i4i00000000004i−4i0000000000000000000000000000000000000000
χ594-444-4-44-4000000000004i−4i000000000000000000000000000000002-22-22i−2i2i−2i0000000000
χ604-444-4-44-4000000000004i−4i00000000000000000000000000000000-22-22−2i2i−2i2i0000000000
χ614-444-4-44-400000000000−4i4i000000000000000000000000000000002-22-2−2i2i−2i2i0000000000
χ624-444-4-44-400000000000−4i4i00000000000000000000000000000000-22-222i−2i2i−2i0000000000
χ634-4-4444-4-4004-4004-40000000000000000000000000000000000000000000000000002i2−2i200
χ644-4-4444-4-4004-4004-4000000000000000000000000000000000000000000000000000−2i22i200
χ654-4-4444-4-400-4400-4400000000000000000000000000000000000000000000000002i2−2i20000
χ664-4-4444-4-400-4400-440000000000000000000000000000000000000000000000000−2i22i20000
χ674-4-4-44-444004-400-440000000000000000000000000000000000000000022−22−22220000000000
χ684-4-4-44-444004-400-4400000000000000000000000000000000000000000−222222−220000000000
χ694-4-4-44-44400-44004-4000000000000000000000000000000000000022−22−222200000000000000
χ704-4-4-44-44400-44004-40000000000000000000000000000000000000−222222−2200000000000000
χ718-88-8-88-88000000000000000000000000000000000000000000000000000000000000000

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