Finite Group Databasebeta

← Group #242110

Character table — Group #242110

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111111112222222222222222222244444444444444444444888888888888888816161616161616161616161616161616
order12222222444444444444444444444444888888888888888822444444888888882244444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-111-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11-1-11-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-11111111-1-1-1-1
χ91111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-11111-1-1-111-1-1
χ101111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1111-1-111
χ111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1-111-1-1-11-1-111
χ121111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1111-1-1111-111-1-1
χ131111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1111111-1-1-11-1-1111-1-1-111
χ141111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1111-111-1-1-1111-1-1
χ151111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1111-1-1-1-1-1-111111-1-1
χ161111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-111
χ17222222222222222222-2-2-2-2-2-222-2-2-2-2-2-200000000000000002222-2-2-2-2000000000000000000000000
χ18222222222222222222-2-2-2-2-2-222-2-2-2-2-2-20000000000000000-2-2-2-22222000000000000000000000000
χ192222222222-2-2-2-2-2-2-2-22222-2-222-2-222-2-2000000000000000022-2-222-2-2000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-22222-2-222-2-222-2-20000000000000000-2-222-2-222000000000000000000000000
χ2122222222-2-22222-2-2-2-2222222-2-222-2-2-2-20000000000000000000000000000000000200200-200-20000
χ2222222222-2-22222-2-2-2-2222222-2-222-2-2-2-20000000000000000000000000000000000-200-20020020000
χ2322222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000002-202-200000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000-220-2200000000000
χ2522222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222000000000000000000000000000000002-20-2200000000000
χ2622222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200000000000000000000000000000000-2202-200000000000
χ2722222222-2-2-2-2-2-22222-2-2-2-222-2-22222-2-20000000000000000000000000000000000200-200200-20000
χ2822222222-2-2-2-2-2-22222-2-2-2-222-2-22222-2-20000000000000000000000000000000000-200200-20020000
χ29222-22-2-2-2-2-222-2-222-2-200000022000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i200002i−2i2i−2i22−2−222−2−20000000000000000
χ30222-22-2-2-2-2-222-2-222-2-200000022000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000−2i2i−2i2i−2−222−2−2220000000000000000
χ31222-22-2-2-2-2-222-2-222-2-200000022000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i200002i−2i2i−2i−2−222−2−2220000000000000000
χ32222-22-2-2-2-2-222-2-222-2-200000022000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i20000−2i2i−2i2i22−2−222−2−20000000000000000
χ33222-22-2-2-2-2-2-2-222-2-22200000022000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i200002i−2i−2i2i−2−22222−2−20000000000000000
χ34222-22-2-2-2-2-2-2-222-2-22200000022000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i20000−2i2i2i−2i22−2−2−2−2220000000000000000
χ35222-22-2-2-2-2-2-2-222-2-22200000022000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i200002i−2i−2i2i22−2−2−2−2220000000000000000
χ36222-22-2-2-2-2-2-2-222-2-22200000022000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i20000−2i2i2i−2i−2−22222−2−20000000000000000
χ3722-22-2-2-222-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2-22-22-22i−2i2-2000000000000000000000000000000000000000000002i−2i2-2
χ3822-22-2-2-222-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2-22-22-22i−2i2-200000000000000000000000000000000000000000000−2i2i-22
χ3922-22-2-2-222-22i−2i2i−2i2i−2i2i−2i−2i−2i2i2i-222-2-22−2i2i-22000000000000000000000000000000000000002i−2i02-200000
χ4022-22-2-2-222-22i−2i2i−2i2i−2i2i−2i−2i−2i2i2i-222-2-22−2i2i-2200000000000000000000000000000000000000−2i2i0-2200000
χ4122-22-2-2-222-2−2i2i−2i2i−2i2i−2i2i2i2i−2i−2i-222-2-222i−2i-22000000000000000000000000000000000000002i−2i0-2200000
χ4222-22-2-2-222-2−2i2i−2i2i−2i2i−2i2i2i2i−2i−2i-222-2-222i−2i-2200000000000000000000000000000000000000−2i2i02-200000
χ4322-22-2-2-222-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i2-22-22-2−2i2i2-2000000000000000000000000000000000000000000002i−2i-22
χ4422-22-2-2-222-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i2-22-22-2−2i2i2-200000000000000000000000000000000000000000000−2i2i2-2
χ4522-22-2-2-22-222i−2i2i−2i−2i2i−2i2i2i2i−2i−2i2-2-222-2−2i2i-222i2i−2i−2i2i2i−2i−2i22-2-222-2-200000000000000000000000000000000
χ4622-22-2-2-22-222i−2i2i−2i−2i2i−2i2i2i2i−2i−2i2-2-222-2−2i2i-22−2i−2i2i2i−2i−2i2i2i-2-222-2-22200000000000000000000000000000000
χ4722-22-2-2-22-222i−2i2i−2i−2i2i−2i2i−2i−2i2i2i-22-22-222i−2i2-20000000000000000000000002-22-22i−2i2i−2i0000000000000000
χ4822-22-2-2-22-222i−2i2i−2i−2i2i−2i2i−2i−2i2i2i-22-22-222i−2i2-2000000000000000000000000-22-22−2i2i−2i2i0000000000000000
χ4922-22-2-2-22-22−2i2i−2i2i2i−2i2i−2i2i2i−2i−2i-22-22-22−2i2i2-20000000000000000000000002-22-2−2i2i−2i2i0000000000000000
χ5022-22-2-2-22-22−2i2i−2i2i2i−2i2i−2i2i2i−2i−2i-22-22-22−2i2i2-2000000000000000000000000-22-222i−2i2i−2i0000000000000000
χ5122-22-2-2-22-22−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i2-2-222-22i−2i-222i2i−2i−2i2i2i−2i−2i-2-222-2-22200000000000000000000000000000000
χ5222-22-2-2-22-22−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i2-2-222-22i−2i-22−2i−2i2i2i−2i−2i2i2i22-2-222-2-200000000000000000000000000000000
χ5322-2-2-222-22-22i−2i−2i2i−2i2i2i−2i000000-2200000022−2−2−2−222−i2−i2i2i2i2i2−i2−i22-22i−2i00002−2−22i2−i2−i2i20000000000000000
χ5422-2-2-222-22-22i−2i−2i2i−2i2i2i−2i000000-2200000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2-22−2i2i0000−222−2−i2i2i2−i20000000000000000
χ5522-2-2-222-22-22i−2i−2i2i−2i2i2i−2i000000-22000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i22-22i−2i0000−222−2−i2i2i2−i20000000000000000
χ5622-2-2-222-22-22i−2i−2i2i−2i2i2i−2i000000-22000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2-22−2i2i00002−2−22i2−i2−i2i20000000000000000
χ5722-2-2-222-22-2−2i2i2i−2i2i−2i−2i2i000000-2200000022−2−2−2−222i2i2−i2−i2−i2−i2i2i22-2−2i2i00002−2−22−i2i2i2−i20000000000000000
χ5822-2-2-222-22-2−2i2i2i−2i2i−2i−2i2i000000-2200000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2-222i−2i0000−222−2i2−i2−i2i20000000000000000
χ5922-2-2-222-22-2−2i2i2i−2i2i−2i−2i2i000000-22000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i22-2−2i2i0000−222−2i2−i2−i2i20000000000000000
χ6022-2-2-222-22-2−2i2i2i−2i2i−2i−2i2i000000-22000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2-222i−2i00002−2−22−i2i2i2−i20000000000000000
χ61444-44-4-4-44444-4-4-4-444000000-4-4000000000000000000000000000000000000000000000000000000
χ62444-44-4-4-444-4-44444-4-4000000-4-4000000000000000000000000000000000000000000000000000000
χ6344-4-4-444-4-444i−4i−4i4i4i−4i−4i4i0000004-4000000000000000000000000000000000000000000000000000000
χ6444-4-4-444-4-44−4i4i4i−4i−4i4i4i−4i0000004-4000000000000000000000000000000000000000000000000000000
χ654-444-4-44-400000000004i−4i4i−4i00000000002-22-22-22-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ664-444-4-44-400000000004i−4i4i−4i0000000000-22-22-22-22−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ674-444-4-44-40000000000−4i4i−4i4i00000000002-22-22-22-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ684-444-4-44-40000000000−4i4i−4i4i0000000000-22-22-22-222i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ694-44-4-44-44000000000000004400-4-400002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ704-44-4-44-44000000000000004400-4-40000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ714-44-4-44-4400000000000000-4-4004400000000000022−2222−22−2222−222200000000000000000000000000000000
χ724-44-4-44-4400000000000000-4-40044000000000000−2222−222222−2222−2200000000000000000000000000000000
χ734-4-4444-4-400000000004-4-4400000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ744-4-4444-4-400000000004-4-440000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ754-4-4444-4-40000000000-444-400000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ764-4-4444-4-40000000000-444-40000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ774-4-4-44-444000000000000004-400-44000022−22−2222−222222−220000000000000000000000000000000000000000
χ784-4-4-44-444000000000000004-400-440000−222222−2222−22−22220000000000000000000000000000000000000000
χ794-4-4-44-44400000000000000-44004-400000000000022−22−2222−222222−2200000000000000000000000000000000
χ804-4-4-44-44400000000000000-44004-4000000000000−222222−2222−22−222200000000000000000000000000000000

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