Finite Group Databasebeta

← Group #473449

Character table — Group #473449

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111111111111111122222222444444444444444444444444888888888888888816161616161616161616161616161616
order12222222222222224444444444444444888888888888888844444444888888882244444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-111
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1
χ11111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1
χ12111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-111
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-11111
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1
χ172222222222222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000002222-2-2-2-2000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000-2-2-2-22222000000000000000000000000
χ192222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000022-2-222-2-2000000000000000000000000
χ202222222222222222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-222-2-222000000000000000000000000
χ2122222-2-222-2-2-2-2-22-22-2-2-2222-200000000000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000002i−2i00002-2
χ2222222-2-222-2-2-2-2-22-22-2-2-2222-200000000000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000−2i2i0000-22
χ2322222-2-222-2-2-2-2-22-22-2-2-2222-20000000000000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000002i−2i0000-22
χ2422222-2-222-2-2-2-2-22-22-2-2-2222-20000000000000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000−2i2i00002-2
χ25222-2-222-2-22-2-2-2-22222-2-22-2-222i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i22-2-222-2-200000000000000000000000000000000
χ26222-2-222-2-22-2-2-2-22222-2-22-2-222i2i−2i−2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2-222-2-22200000000000000000000000000000000
χ27222-2-222-2-22-2-2-2-22222-2-22-2-22−2i−2i2i2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i-2-222-2-22200000000000000000000000000000000
χ28222-2-222-2-22-2-2-2-22222-2-22-2-22−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i22-2-222-2-200000000000000000000000000000000
χ29222-2-222-2-22-2-2-2-222-2-222-222-22i2i−2i−2i−2i−2i2i2i00000000000000000000000022-2-22i2i−2i−2i0000000000000000
χ30222-2-222-2-22-2-2-2-222-2-222-222-22i2i−2i−2i−2i−2i2i2i000000000000000000000000-2-222−2i−2i2i2i0000000000000000
χ31222-2-222-2-22-2-2-2-222-2-222-222-2−2i−2i2i2i2i2i−2i−2i00000000000000000000000022-2-2−2i−2i2i2i0000000000000000
χ32222-2-222-2-22-2-2-2-222-2-222-222-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000-2-2222i2i−2i−2i0000000000000000
χ33222-2-2-2-2-2-2-222222-22-2222-2-2-200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000002i−2i002-20000
χ34222-2-2-2-2-2-2-222222-22-2222-2-2-200000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000−2i2i00-220000
χ35222-2-2-2-2-2-2-222222-22-2222-2-2-20000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000002i−2i00-220000
χ36222-2-2-2-2-2-2-222222-22-2222-2-2-20000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000−2i2i002-20000
χ3722-22-22-22-2-222-2-2-220000000000002i−2i2i−2ii2i2−i2−i2i2i2−i2−i22−22−22−22−2002i−2i002-2i2−i2i2−i22−22−20000000000000000
χ3822-22-22-22-2-222-2-2-220000000000002i−2i2i−2ii2i2−i2−i2i2i2−i2−i22−22−22−22−200−2i2i00-22−i2i2−i2i2−22−220000000000000000
χ3922-22-22-22-2-222-2-2-220000000000002i−2i2i−2i−i2−i2i2i2−i2−i2i2i2−22−22−22−22002i−2i002-2−i2i2−i2i2−22−220000000000000000
χ4022-22-22-22-2-222-2-2-220000000000002i−2i2i−2i−i2−i2i2i2−i2−i2i2i2−22−22−22−2200−2i2i00-22i2−i2i2−i22−22−20000000000000000
χ4122-22-22-22-2-222-2-2-22000000000000−2i2i−2i2ii2i2−i2−i2i2i2−i2−i2−22−22−22−22002i−2i00-22−i2i2−i2i22−22−20000000000000000
χ4222-22-22-22-2-222-2-2-22000000000000−2i2i−2i2ii2i2−i2−i2i2i2−i2−i2−22−22−22−2200−2i2i002-2i2−i2i2−i2−22−220000000000000000
χ4322-22-22-22-2-222-2-2-22000000000000−2i2i−2i2i−i2−i2i2i2−i2−i2i2i22−22−22−22−2002i−2i00-22i2−i2i2−i2−22−220000000000000000
χ4422-22-22-22-2-222-2-2-22000000000000−2i2i−2i2i−i2−i2i2i2−i2−i2i2i22−22−22−22−200−2i2i002-2−i2i2−i2i22−22−20000000000000000
χ4522-2-222-2-22-2-2-222-220000000000002-2-2222−2−2−2−2222−2−222−2−222i−2i002i−2i00i2−i2−i2i2i2−i2−i2i20000000000000000
χ4622-2-222-2-22-2-2-222-220000000000002-2-2222−2−2−2−2222−2−222−2−22−2i2i00−2i2i00−i2i2i2−i2−i2i2i2−i20000000000000000
χ4722-2-222-2-22-2-2-222-220000000000002-2-22−2−22222−2−2−222−2−222−22i−2i002i−2i00−i2i2i2−i2−i2i2i2−i20000000000000000
χ4822-2-222-2-22-2-2-222-220000000000002-2-22−2−22222−2−2−222−2−222−2−2i2i00−2i2i00i2−i2−i2i2i2−i2−i2i20000000000000000
χ4922-2-222-2-22-2-2-222-22000000000000-222-222−2−2−2−222−222−2−222−22i−2i00−2i2i00i2−i2−i2i2−i2i2i2−i20000000000000000
χ5022-2-222-2-22-2-2-222-22000000000000-222-222−2−2−2−222−222−2−222−2−2i2i002i−2i00−i2i2i2−i2i2−i2−i2i20000000000000000
χ5122-2-222-2-22-2-2-222-22000000000000-222-2−2−22222−2−22−2−222−2−222i−2i00−2i2i00−i2i2i2−i2i2−i2−i2i20000000000000000
χ5222-2-222-2-22-2-2-222-22000000000000-222-2−2−22222−2−22−2−222−2−22−2i2i002i−2i00i2−i2−i2i2−i2i2i2−i20000000000000000
χ532-2-22-22-2-2222-22-22-2222-2-22-2-2000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000002-2002i−2i0000000000
χ542-2-22-22-2-2222-22-22-2222-2-22-2-2000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000-2200−2i2i0000000000
χ552-2-22-22-2-2222-22-22-2222-2-22-2-200000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000002-200−2i2i0000000000
χ562-2-22-22-2-2222-22-22-2222-2-22-2-200000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000-22002i−2i0000000000
χ572-2-2-222-22-22-22-222-222-22-2-22-2000000002-22-2-22-22000000000000000000000000002i−2i000000002i−2i00
χ582-2-2-222-22-22-22-222-222-22-2-22-2000000002-22-2-22-2200000000000000000000000000−2i2i00000000−2i2i00
χ592-2-2-222-22-22-22-222-222-22-2-22-200000000-22-222-22-2000000000000000000000000002i−2i00000000−2i2i00
χ602-2-2-222-22-22-22-222-222-22-2-22-200000000-22-222-22-200000000000000000000000000−2i2i000000002i−2i00
χ6144444-4-444-4-4-4-4-44-4-4444-4-4-4400000000000000000000000000000000000000000000000000000000
χ62444-4-4-4-4-4-4-444444-4-44-4-4-444400000000000000000000000000000000000000000000000000000000
χ6344-44-4-444-44-4-444-4-40000000000000000000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000
χ6444-44-4-444-44-4-444-4-4000000000000000000000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000
χ6544-4-44-44-44444-4-4-4-40000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000
χ6644-4-44-44-44444-4-4-4-4000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000
χ674-444444-4-4-44-4-44-4-4000000000000000022−22−222222−22−22220000000000000000000000000000000000000000
χ684-444444-4-4-44-4-44-4-40000000000000000−222222−22−222222−220000000000000000000000000000000000000000
χ694-4444-4-4-4-44-444-4-44000000004i−4i4i−4i0000000000000000000000000000000000000000000000000000
χ704-4444-4-4-4-44-444-4-4400000000−4i4i−4i4i0000000000000000000000000000000000000000000000000000
χ714-44-4-44444-4-444-4-4-400000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ724-44-4-44444-4-444-4-4-40000000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ734-44-4-4-4-44444-4-44-44000000004-4-440000000000000000000000000000000000000000000000000000
χ744-44-4-4-4-44444-4-44-4400000000-444-40000000000000000000000000000000000000000000000000000
χ754-4-44-44-4-4444-44-44-4-4-4-444-44400000000000000000000000000000000000000000000000000000000
χ764-4-44-4-44-44-4-44-44444-4-44-44-4400000000000000000000000000000000000000000000000000000000
χ774-4-44-4-44-44-4-44-4444-444-44-44-400000000000000000000000000000000000000000000000000000000
χ784-4-4-444-44-44-44-444-4-4-44-444-4400000000000000000000000000000000000000000000000000000000
χ794-4-4-44-444-4-44-44-4444-44-4-4-44400000000000000000000000000000000000000000000000000000000
χ804-4-4-44-444-4-44-44-444-44-4444-4-400000000000000000000000000000000000000000000000000000000

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