Finite Group Databasebeta

← Group #241530

Character table — Group #241530

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222222244444488888888888888888888888888888888161616161616161616161616
order12222222222244444444444444444422444444444444448888888888888888244444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111111111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-11-1-1111-1-1-1-1
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-11111111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-11111
χ9111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-1111-1-1
χ10111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11111-111-1-1
χ11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-111
χ12111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111-1-1-1-11-1-111
χ13111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-111-1-1-111
χ14111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-11-1-111
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1111-1-1111-1-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-1-111-111-1-1
χ1722222222222222222222-2-2-2-2-2-2-2-2-2-222-2-2220000-2-200000000000000000000000000000000
χ1822222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-200002200000000000000000000000000000000
χ19222222222222-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-200002200000000000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-222220000-2-200000000000000000000000000000000
χ2122222222-2-2-2-22222-2-2-2-22222-2-222-2-2000000000000000000000000000000002-202-20000000
χ2222222222-2-2-2-22222-2-2-2-22222-2-222-2-200000000000000000000000000000000-220-220000000
χ2322222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2220000000000000000000000000000000000200-22-20000
χ2422222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2220000000000000000000000000000000000-2002-220000
χ2522222222-2-2-2-2-2-2-2-222222222-2-2-2-22200000000000000000000000000000000002002-2-20000
χ2622222222-2-2-2-2-2-2-2-222222222-2-2-2-2220000000000000000000000000000000000-200-2220000
χ2722222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000000000002-20-220000000
χ2822222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-200000000000000000000000000000000-2202-20000000
χ29222-2-2-2-222-22-22i2i−2i−2i2i2i−2i−2i00000000002-2002i−2i0000000000i2i2−i2−i222−2−2i2i2−i2−i222−2−2000000000000
χ30222-2-2-2-222-22-22i2i−2i−2i2i2i−2i−2i00000000002-2002i−2i0000000000−i2−i2i2i2−2−222−i2−i2i2i2−2−222000000000000
χ31222-2-2-2-222-22-22i2i−2i−2i2i2i−2i−2i0000000000-2200−2i2i0000000000i2i2−i2−i222−2−2−i2−i2i2i2−2−222000000000000
χ32222-2-2-2-222-22-22i2i−2i−2i2i2i−2i−2i0000000000-2200−2i2i0000000000−i2−i2i2i2−2−222i2i2−i2−i222−2−2000000000000
χ33222-2-2-2-222-22-2−2i−2i2i2i−2i−2i2i2i00000000002-200−2i2i0000000000i2i2−i2−i2−2−222i2i2−i2−i2−2−222000000000000
χ34222-2-2-2-222-22-2−2i−2i2i2i−2i−2i2i2i00000000002-200−2i2i0000000000−i2−i2i2i222−2−2−i2−i2i2i222−2−2000000000000
χ35222-2-2-2-222-22-2−2i−2i2i2i−2i−2i2i2i0000000000-22002i−2i0000000000i2i2−i2−i2−2−222−i2−i2i2i222−2−2000000000000
χ36222-2-2-2-222-22-2−2i−2i2i2i−2i−2i2i2i0000000000-22002i−2i0000000000−i2−i2i2i222−2−2i2i2−i2−i2−2−222000000000000
χ3722-222-2-2-2-2-2222-22-22-22-20000000000002i−2i0000002i−2i0000i2−i2i2−i2i2−i2i2−i22−22−22−22−2000000000000
χ3822-222-2-2-2-2-2222-22-22-22-20000000000002i−2i0000002i−2i0000−i2i2−i2i2−i2i2−i2i2−22−22−22−22000000000000
χ3922-222-2-2-2-2-2222-22-22-22-2000000000000−2i2i000000−2i2i0000i2−i2i2−i2i2−i2i2−i2−22−22−22−22000000000000
χ4022-222-2-2-2-2-2222-22-22-22-2000000000000−2i2i000000−2i2i0000−i2i2−i2i2−i2i2−i2i22−22−22−22−2000000000000
χ4122-222-2-2-2-2-222-22-22-22-220000000000002i−2i000000−2i2i0000i2−i2i2−i2−i2i2−i2i22−22−2−22−22000000000000
χ4222-222-2-2-2-2-222-22-22-22-220000000000002i−2i000000−2i2i0000−i2i2−i2i2i2−i2i2−i2−22−222−22−2000000000000
χ4322-222-2-2-2-2-222-22-22-22-22000000000000−2i2i0000002i−2i0000i2−i2i2−i2−i2i2−i2i2−22−222−22−2000000000000
χ4422-222-2-2-2-2-222-22-22-22-22000000000000−2i2i0000002i−2i0000−i2i2−i2i2i2−i2i2−i22−22−2−22−22000000000000
χ4522-2-2-222-22-2-222i−2i−2i2i−2i2i2i−2i2i2i−2i−2i2i−2i2-22-200000000000000000000000000000000000000002-22i−2i
χ4622-2-2-222-22-2-222i−2i−2i2i−2i2i2i−2i2i2i−2i−2i2i−2i2-22-20000000000000000000000000000000000000000-22−2i2i
χ4722-2-2-222-22-2-222i−2i−2i2i−2i2i2i−2i−2i−2i2i2i−2i2i-22-2200000022-2-2002i2i−2i−2i0000000000000000000000000000
χ4822-2-2-222-22-2-222i−2i−2i2i−2i2i2i−2i−2i−2i2i2i−2i2i-22-22000000-2-22200−2i−2i2i2i0000000000000000000000000000
χ4922-2-2-222-22-2-22−2i2i2i−2i2i−2i−2i2i2i2i−2i−2i2i−2i-22-2200000022-2-200−2i−2i2i2i0000000000000000000000000000
χ5022-2-2-222-22-2-22−2i2i2i−2i2i−2i−2i2i2i2i−2i−2i2i−2i-22-22000000-2-222002i2i−2i−2i0000000000000000000000000000
χ5122-2-2-222-22-2-22−2i2i2i−2i2i−2i−2i2i−2i−2i2i2i−2i2i2-22-200000000000000000000000000000000000000002-2−2i2i
χ5222-2-2-222-22-2-22−2i2i2i−2i2i−2i−2i2i−2i−2i2i2i−2i2i2-22-20000000000000000000000000000000000000000-222i−2i
χ5322-2-2-222-2-222-22i−2i−2i2i2i−2i−2i2i2i2i−2i−2i−2i2i2-2-220000000000000000000000002i−2i−2i2i2-2-22000000000000
χ5422-2-2-222-2-222-22i−2i−2i2i2i−2i−2i2i2i2i−2i−2i−2i2i2-2-22000000000000000000000000−2i2i2i−2i-222-2000000000000
χ5522-2-2-222-2-222-22i−2i−2i2i2i−2i−2i2i−2i−2i2i2i2i−2i-222-200000000000000002-2-22−2i2i2i−2i00000000000000000000
χ5622-2-2-222-2-222-22i−2i−2i2i2i−2i−2i2i−2i−2i2i2i2i−2i-222-20000000000000000-222-22i−2i−2i2i00000000000000000000
χ5722-2-2-222-2-222-2−2i2i2i−2i−2i2i2i−2i2i2i−2i−2i−2i2i-222-200000000000000002-2-222i−2i−2i2i00000000000000000000
χ5822-2-2-222-2-222-2−2i2i2i−2i−2i2i2i−2i2i2i−2i−2i−2i2i-222-20000000000000000-222-2−2i2i2i−2i00000000000000000000
χ5922-2-2-222-2-222-2−2i2i2i−2i−2i2i2i−2i−2i−2i2i2i2i−2i2-2-220000000000000000000000002i−2i−2i2i-222-2000000000000
χ6022-2-2-222-2-222-2−2i2i2i−2i−2i2i2i−2i−2i−2i2i2i2i−2i2-2-22000000000000000000000000−2i2i2i−2i2-2-22000000000000
χ61444-4-4-4-44-44-444i4i−4i−4i−4i−4i4i4i000000000000000000000000000000000000000000000000000000
χ62444-4-4-4-44-44-44−4i−4i4i4i4i4i−4i−4i000000000000000000000000000000000000000000000000000000
χ6344-444-4-4-444-4-44-44-4-44-44000000000000000000000000000000000000000000000000000000
χ6444-444-4-4-444-4-4-44-444-44-4000000000000000000000000000000000000000000000000000000
χ654-444-4-44-40000000000004i−4i4i−4i0000000000002-22-2002i−2i2i−2i0000000000000000000000000000
χ664-444-4-44-40000000000004i−4i4i−4i000000000000-22-2200−2i2i−2i2i0000000000000000000000000000
χ674-444-4-44-4000000000000−4i4i−4i4i0000000000002-22-200−2i2i−2i2i0000000000000000000000000000
χ684-444-4-44-4000000000000−4i4i−4i4i000000000000-22-22002i−2i2i−2i0000000000000000000000000000
χ694-4-4-44-4440000000000004-4-440000000000002-2-2200-222-20000000000000000000000000000
χ704-4-4-44-4440000000000004-4-44000000000000-222-2002-2-220000000000000000000000000000
χ714-4-4-44-444000000000000-444-40000000000002-2-22002-2-220000000000000000000000000000
χ724-4-4-44-444000000000000-444-4000000000000-222-200-222-20000000000000000000000000000
χ738-88-888-8-8000000000000000000000000000000000000000000000000000000000000000000
χ748-8-88-88-88000000000000000000000000000000000000000000000000000000000000000000

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