Finite Group Databasebeta

← Group #6620105

Character table — Group #6620105

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11111111222222222222222222224444444444444444444444444444448888888888888888888888888888888161616161616
order12222222444444444444444444444444444444444444444444888888882222224444444444444888888888888224444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1111
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111-1-1-1
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1111-1-1-1
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111
χ9111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-11
χ10111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1111111-111-1
χ11111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-111-1
χ12111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-11111-1-11111-1-11-1-11
χ13111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-11
χ14111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1111-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-1-1-11111-1-1111111-1-1-1-111-1-1-11
χ1711111111-1-1-1-11111-1-1-1-111111111-1-111-1-11111-1-111111111-1-1111111111-111-1-111-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11-1-11-1-1
χ1811111111-1-1-1-11111-1-1-1-111111111-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-111-111
χ1911111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111111-1-1-111-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-111-111
χ2011111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1111111-1-11111-1-11111-1-1111-1-11-1-1
χ2111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-11111111-1-1-1-111-1-1-1-111-1-111-1-111-1111-1-1
χ2211111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11-1-111-1-1111-1-11111-1-111-1-111-1-111-1-11-1-1-111
χ2311111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1111-1-1-1-11-1-11111-1-111-1-111-1-111-1-1111-1-1-111
χ2411111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1111-1-1111-1-111-1-1-1-11111-1-111-1-111-1-1-1111-1-1
χ2511111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1111111-1-11111111111-11-1-11111-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111-11-1-11-1
χ2611111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1111111-1-111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11-111-11
χ2711111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1111-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1111-111-11
χ2811111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-111-111111111-1-11111-1-11111-1-1-11-1-11-1
χ2911111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1-111111-1-1-1-1-1-111-1-1-1-1111111-1-11-11-11-1
χ3011111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-1111-1-111-1-1111111-1-1-1-1-1-111-11-11-11
χ3111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11-1-1-111-1-11-1-1111111-1-1-1-1-1-1111111-1-1-11-11-11
χ3211111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-1-1-111111-1-111-1-111-1-11111-1-1-1-1-1-1111-11-11-1
χ33222222222222222222222222-2-2-2-22222220000-2-2-2-20000-2-2-2-200000000-2-2000000-20000000000000000000000000000
χ3422222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2220000-2-2-2-2000000002200000020000000000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-20000-2-2-2-2000022220000000022000000-20000000000000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000-2-2220000222200000000-2-200000020000000000000000000000000000
χ3722222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-222-2-2000022-2-20000-2-22200000000-2200000020000000000000000000000000000
χ3822222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222-2-222000022220000-2-222000000002-2000000-20000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222000022-2-2000022-2-2000000002-200000020000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-200002222000022-2-200000000-22000000-20000000000000000000000000000
χ4122-22-22-2-222-2-222-2-222-2-22i2i−2i−2i00002i−2i2i−2i2i−2i000000000000000022−2−2i2i2−i2−i200000000000000000002−22−22−2i2−i2i2−i2i2−i2000000
χ4222-22-22-2-222-2-222-2-222-2-22i2i−2i−2i00002i−2i2i−2i2i−2i0000000000000000−2−222−i2−i2i2i20000000000000000000−22−22−22−i2i2−i2i2−i2i2000000
χ4322-22-22-2-222-2-222-2-222-2-2−2i−2i2i2i0000−2i2i−2i2i−2i2i000000000000000022−2−2−i2−i2i2i200000000000000000002−22−22−2−i2i2−i2i2−i2i2000000
χ4422-22-22-2-222-2-222-2-222-2-2−2i−2i2i2i0000−2i2i−2i2i−2i2i0000000000000000−2−222i2i2−i2−i20000000000000000000−22−22−22i2−i2i2−i2i2−i2000000
χ4522-22-22-2-222-2-2-2-222-2-2222i2i−2i−2i00002i−2i−2i2i−2i2i000000000000000022−2−2i2i2−i2−i200000000000000000002−2−22−22i2−i2−i2i2−i2i2000000
χ4622-22-22-2-222-2-2-2-222-2-2222i2i−2i−2i00002i−2i−2i2i−2i2i0000000000000000−2−222−i2−i2i2i20000000000000000000−222−22−2−i2i2i2−i2i2−i2000000
χ4722-22-22-2-222-2-2-2-222-2-222−2i−2i2i2i0000−2i2i2i−2i2i−2i000000000000000022−2−2−i2−i2i2i200000000000000000002−2−22−22−i2i2i2−i2i2−i2000000
χ4822-22-22-2-222-2-2-2-222-2-222−2i−2i2i2i0000−2i2i2i−2i2i−2i0000000000000000−2−222i2i2−i2−i20000000000000000000−222−22−2i2−i2−i2i2−i2i2000000
χ4922-22-22-2-2-2-22222-2-2-2-2222i2i−2i−2i0000−2i2i2i−2i−2i2i000000000000000022−2−2i2i2−i2−i20000000000000000000−222−2−22−i2i2i2−i2−i2i2000000
χ5022-22-22-2-2-2-22222-2-2-2-2222i2i−2i−2i0000−2i2i2i−2i−2i2i0000000000000000−2−222−i2−i2i2i200000000000000000002−2−222−2i2−i2−i2i2i2−i2000000
χ5122-22-22-2-2-2-22222-2-2-2-222−2i−2i2i2i00002i−2i−2i2i2i−2i000000000000000022−2−2−i2−i2i2i20000000000000000000−222−2−22i2−i2−i2i2i2−i2000000
χ5222-22-22-2-2-2-22222-2-2-2-222−2i−2i2i2i00002i−2i−2i2i2i−2i0000000000000000−2−222i2i2−i2−i200000000000000000002−2−222−2−i2i2i2−i2−i2i2000000
χ5322-22-22-2-2-2-222-2-22222-2-22i2i−2i−2i0000−2i2i−2i2i2i−2i000000000000000022−2−2i2i2−i2−i20000000000000000000−22−222−2−i2i2−i2i2i2−i2000000
χ5422-22-22-2-2-2-222-2-22222-2-22i2i−2i−2i0000−2i2i−2i2i2i−2i0000000000000000−2−222−i2−i2i2i200000000000000000002−22−2−22i2−i2i2−i2−i2i2000000
χ5522-22-22-2-2-2-222-2-22222-2-2−2i−2i2i2i00002i−2i2i−2i−2i2i000000000000000022−2−2−i2−i2i2i20000000000000000000−22−222−2i2−i2i2−i2−i2i2000000
χ5622-22-22-2-2-2-222-2-22222-2-2−2i−2i2i2i00002i−2i2i−2i−2i2i0000000000000000−2−222i2i2−i2−i200000000000000000002−22−2−22−i2i2−i2i2i2−i2000000
χ5722-2-22-22-22-22-22i−2i2i−2i2i−2i2i−2i000022-2-200000000002-2002i2i−2i−2i2i−2i2i−2i00000000002-22-20002i−2i00000000000000000000000000
χ5822-2-22-22-22-22-22i−2i2i−2i2i−2i2i−2i000022-2-200000000002-200−2i−2i2i2i2i−2i2i−2i0000000000-22-22000−2i2i00000000000000000000000000
χ5922-2-22-22-22-22-22i−2i2i−2i2i−2i2i−2i0000-2-22200000022-2-2-22000000−2i2i−2i2i00000000000000000002-2002i−2i2i−2i000000000000000000
χ6022-2-22-22-22-22-22i−2i2i−2i2i−2i2i−2i0000-2-222000000-2-222-22000000−2i2i−2i2i0000000000000000000-2200−2i2i−2i2i000000000000000000
χ6122-2-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i000022-2-200000000002-2002i2i−2i−2i−2i2i−2i2i0000000000-22-220002i−2i00000000000000000000000000
χ6222-2-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i000022-2-200000000002-200−2i−2i2i2i−2i2i−2i2i00000000002-22-2000−2i2i00000000000000000000000000
χ6322-2-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000-2-22200000022-2-2-220000002i−2i2i−2i00000000000000000002-200−2i2i−2i2i000000000000000000
χ6422-2-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000-2-222000000-2-222-220000002i−2i2i−2i0000000000000000000-22002i−2i2i−2i000000000000000000
χ6522-2-22-22-2-22-222i−2i2i−2i−2i2i−2i2i000022-2-20000000000-22002i2i−2i−2i2i−2i−2i2i00000000002-2-22000−2i2i00000000000000000000000000
χ6622-2-22-22-2-22-222i−2i2i−2i−2i2i−2i2i000022-2-20000000000-2200−2i−2i2i2i2i−2i−2i2i0000000000-222-20002i−2i00000000000000000000000000
χ6722-2-22-22-2-22-222i−2i2i−2i−2i2i−2i2i0000-2-22200000022-2-22-2000000−2i2i2i−2i0000000000000000000-22002i−2i−2i2i000000000000000000
χ6822-2-22-22-2-22-222i−2i2i−2i−2i2i−2i2i0000-2-222000000-2-2222-2000000−2i2i2i−2i00000000000000000002-200−2i2i2i−2i000000000000000000
χ6922-2-22-22-2-22-22−2i2i−2i2i2i−2i2i−2i000022-2-20000000000-22002i2i−2i−2i−2i2i2i−2i0000000000-222-2000−2i2i00000000000000000000000000
χ7022-2-22-22-2-22-22−2i2i−2i2i2i−2i2i−2i000022-2-20000000000-2200−2i−2i2i2i−2i2i2i−2i00000000002-2-220002i−2i00000000000000000000000000
χ7122-2-22-22-2-22-22−2i2i−2i2i2i−2i2i−2i0000-2-22200000022-2-22-20000002i−2i−2i2i0000000000000000000-2200−2i2i2i−2i000000000000000000
χ7222-2-22-22-2-22-22−2i2i−2i2i2i−2i2i−2i0000-2-222000000-2-2222-20000002i−2i−2i2i00000000000000000002-2002i−2i−2i2i000000000000000000
χ732-2222-2-2-20000000000002i−2i2i−2i2-22-20000002-22-2002i−2i2i−2i2i−2i00002-22-22i−2i2i−2i0000002-2000002i−2i0000000000000000000000
χ742-2222-2-2-20000000000002i−2i2i−2i2-22-20000002-22-2002i−2i2i−2i2i−2i0000-22-22−2i2i−2i2i000000-2200000−2i2i0000000000000000000000
χ752-2222-2-2-20000000000002i−2i2i−2i2-22-2000000-22-22002i−2i−2i2i−2i2i00002-22-22i−2i2i−2i000000-2200000−2i2i0000000000000000000000
χ762-2222-2-2-20000000000002i−2i2i−2i2-22-2000000-22-22002i−2i−2i2i−2i2i0000-22-22−2i2i−2i2i0000002-2000002i−2i0000000000000000000000
χ772-2222-2-2-2000000000000−2i2i−2i2i2-22-20000002-22-200−2i2i−2i2i−2i2i00002-22-2−2i2i−2i2i0000002-200000−2i2i0000000000000000000000
χ782-2222-2-2-2000000000000−2i2i−2i2i2-22-20000002-22-200−2i2i−2i2i−2i2i0000-22-222i−2i2i−2i000000-22000002i−2i0000000000000000000000
χ792-2222-2-2-2000000000000−2i2i−2i2i2-22-2000000-22-2200−2i2i2i−2i2i−2i00002-22-2−2i2i−2i2i000000-22000002i−2i0000000000000000000000
χ802-2222-2-2-2000000000000−2i2i−2i2i2-22-2000000-22-2200−2i2i2i−2i2i−2i0000-22-222i−2i2i−2i0000002-200000−2i2i0000000000000000000000
χ81444-4-4-4-444-4-444i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ82444-4-4-4-444-4-44−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ83444-4-4-4-44-444-44i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ84444-4-4-4-44-444-4−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ854-4444-4-4-40000000000004i−4i4i−4i-44-44000000000000−4i4i00000000000000000000000000000000000000000000000000000
χ864-4444-4-4-4000000000000−4i4i−4i4i-44-440000000000004i−4i00000000000000000000000000000000000000000000000000000
χ874-4-44-4-4440000000000004-4-440000000000000000000000000022−22−222222−22−22220000000000000000000000000000000000000
χ884-4-44-4-4440000000000004-4-4400000000000000000000000000−222222−22−222222−220000000000000000000000000000000000000
χ894-4-44-4-444000000000000-444-40000000000000000000000000022−22−2222−222222−220000000000000000000000000000000000000
χ904-4-44-4-444000000000000-444-400000000000000000000000000−222222−2222−22−22220000000000000000000000000000000000000
χ914-4-4-444-4400000000000000004-4-44000000000000004-4-440000000000000000000000000000000000000000000000000
χ924-4-4-444-4400000000000000004-4-4400000000000000-444-40000000000000000000000000000000000000000000000000
χ934-4-4-444-440000000000000000-444-40000004-4-44000000000000000000000000000000000000000000000000000000000
χ944-4-4-444-440000000000000000-444-4000000-444-4000000000000000000000000000000000000000000000000000000000
χ958-88-8-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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