Finite Group Databasebeta

← Group #349753

Character table — Group #349753

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
χ31111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-1-111-1-1-1-11-1-11111-1-1-1-11111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111
χ6111111111111111111111-1-1-1-111-1-1-1-11-1-11111-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ7111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1111111111111111-1-1-1-11111-1-1
χ8111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ911111111111111111-1-1-1-11111-1-1-1-1-1-11111111-1-111-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ1011111111111111111-1-1-1-11111-1-1-1-1-1-11111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ1111111111111111111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-111-1-1-1-111-11
χ1211111111111111111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-11111-1-11111-1-11-1
χ1311111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111-1
χ1411111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11
χ1511111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11
χ1611111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1
χ1722222222222-2-2-22-2-222222222-2-22222-2-2-20000-2-200000000-20000000000000000000000
χ1822222222222-2-2-22-2-22222-2-2-2-2-2-2-2-2-2-2-22200002200000000-20000000000000000000000
χ1922222222222-2-2-22-2-2-2-2-2-2222222-2-2-2-2-2-2-20000220000000020000000000000000000000
χ2022222222222-2-2-22-2-2-2-2-2-2-2-2-2-2222222-2220000-2-20000000020000000000000000000000
χ2122222222-2-2-2222-22-222-2-20000220000-200000000220000-2-2-2-2-222000000000000000000
χ2222222222-2-2-2222-22-222-2-20000220000-200000000-2-2000022-222-2-2000000000000000000
χ2322222222-2-2-2222-22-2-2-2220000-2-20000-200000000220000-2-2222-2-2000000000000000000
χ2422222222-2-2-2222-22-2-2-2220000-2-20000-200000000-2-20000222-2-222000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-20000-2-2000020022-2-2000022-2-20020000000000000000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-20000-2-20000200-2-2220000-2-2220020000000000000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-222000022000020022-2-20000-2-22200-20000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-2220000220000200-2-222000022-2-200-20000000000000000000000
χ29222-22-2-2-222-222-2-2-22000022-2-2000000-22-22-22-2002-200002-200000000000000000000000
χ30222-22-2-2-222-222-2-2-22000022-2-2000000-22-2-22-2200-220000-2200000000000000000000000
χ31222-22-2-2-222-222-2-2-220000-2-222000000-2-222-22-200-220000-2200000000000000000000000
χ32222-22-2-2-222-222-2-2-220000-2-222000000-2-22-22-22002-200002-200000000000000000000000
χ33222-22-2-2-222-2-2-22-22-2000022-2-20000002-22000000002i−2i2i−2i0002i−2i2i−2i000000000000000000
χ34222-22-2-2-222-2-2-22-22-2000022-2-20000002-2200000000−2i2i−2i2i000−2i2i−2i2i000000000000000000
χ35222-22-2-2-222-2-2-22-22-20000-2-22200000022-2000000002i−2i2i−2i000−2i2i−2i2i000000000000000000
χ36222-22-2-2-222-2-2-22-22-20000-2-22200000022-200000000−2i2i−2i2i0002i−2i2i−2i000000000000000000
χ37222-22-2-2-2-2-2222-22-2-200000000002i2i−2i−2i20000002i−2i2-22i−2i−2i2i-2200000000000000000000000
χ38222-22-2-2-2-2-2222-22-2-200000000002i2i−2i−2i20000002i−2i-22−2i2i2i−2i2-200000000000000000000000
χ39222-22-2-2-2-2-2222-22-2-20000000000−2i−2i2i2i2000000−2i2i2-2−2i2i2i−2i-2200000000000000000000000
χ40222-22-2-2-2-2-2222-22-2-20000000000−2i−2i2i2i2000000−2i2i-222i−2i−2i2i2-200000000000000000000000
χ41222-22-2-2-2-2-22-2-2222200000000002i2i−2i−2i-2002-2-22−2i2i000000000−2i2i2i−2i000000000000000000
χ42222-22-2-2-2-2-22-2-2222200000000002i2i−2i−2i-200-222-2−2i2i0000000002i−2i−2i2i000000000000000000
χ43222-22-2-2-2-2-22-2-222220000000000−2i−2i2i2i-2002-2-222i−2i0000000002i−2i−2i2i000000000000000000
χ44222-22-2-2-2-2-22-2-222220000000000−2i−2i2i2i-200-222-22i−2i000000000−2i2i2i−2i000000000000000000
χ4522-22-22-2-22-2-20002002-22-22i−2i2i−2i002i−2i2i−2i0000000000000000000000i2i2−i2−i2i2i2−i2−i22−22−2000000
χ4622-22-22-2-22-2-20002002-22-22i−2i2i−2i002i−2i2i−2i0000000000000000000000−i2−i2i2i2−i2−i2i2i2−22−22000000
χ4722-22-22-2-22-2-20002002-22-2−2i2i−2i2i00−2i2i−2i2i0000000000000000000000i2i2−i2−i2i2i2−i2−i2−22−22000000
χ4822-22-22-2-22-2-20002002-22-2−2i2i−2i2i00−2i2i−2i2i0000000000000000000000−i2−i2i2i2−i2−i2i2i22−22−2000000
χ4922-22-22-2-22-2-2000200-22-222i−2i2i−2i00−2i2i−2i2i0000000000000000000000i2i2−i2−i2−i2−i2i2i22−2−22000000
χ5022-22-22-2-22-2-2000200-22-222i−2i2i−2i00−2i2i−2i2i0000000000000000000000−i2−i2i2i2i2i2−i2−i2−222−2000000
χ5122-22-22-2-22-2-2000200-22-22−2i2i−2i2i002i−2i2i−2i0000000000000000000000i2i2−i2−i2−i2−i2i2i2−222−2000000
χ5222-22-22-2-22-2-2000200-22-22−2i2i−2i2i002i−2i2i−2i0000000000000000000000−i2−i2i2i2i2i2−i2−i22−2−22000000
χ5344-44-44-4-4-444000-4004-4-4400000000000000000000000000000000000000000000000000
χ5444-44-44-4-4-444000-400-444-400000000000000000000000000000000000000000000000000
χ5544-4-4-4-4444-44000-40000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ5644-4-4-4-4444-44000-4000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ5744-4-4-4-444-44-400040000000000004-4-440000000000000000000000000000000000000000
χ5844-4-4-4-444-44-40004000000000000-444-40000000000000000000000000000000000000000
χ594-444-4-44-4000000000000000004i−4i000000000000000000000000002-22-22i−2i2i−2i0000000000
χ604-444-4-44-4000000000000000004i−4i00000000000000000000000000-22-22−2i2i−2i2i0000000000
χ614-444-4-44-400000000000000000−4i4i000000000000000000000000002-22-2−2i2i−2i2i0000000000
χ624-444-4-44-400000000000000000−4i4i00000000000000000000000000-22-222i−2i2i−2i0000000000
χ634-4-444-4-440004-440-400000000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ644-4-444-4-440004-440-40000000000000000000000000000000000000−2i22i22i2−2i200000000000000
χ654-4-444-4-44000-44-4040000000000000000000000000000000000000000022−22−22220000000000
χ664-4-444-4-44000-44-40400000000000000000000000000000000000000000−222222−220000000000
χ674-4-4-4444-40004-4-404000000000000000000000000000000000000000000000000022−220000
χ684-4-4-4444-40004-4-4040000000000000000000000000000000000000000000000000−22220000
χ694-4-4-4444-4000-4440-40000000000000000000000000000000000000000000000000002i2−2i200
χ704-4-4-4444-4000-4440-4000000000000000000000000000000000000000000000000000−2i22i200
χ718-88-8-88-88000000000000000000000000000000000000000000000000000000000000000

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