Finite Group Databasebeta

← Group #6994439

Character table — Group #6994439

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size111111112222222244444444444444444444444444444444888888888888888888888888816161616161616161616
order12222222222244442222444444444444888888888888888824444444444444444888888882444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-111-1-111-1
χ511111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-111-1-1-1-1111-1-1-1-11
χ611111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-111-1-1-11111-1
χ711111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1111-1-1-1-1-1-111-1-111111-1-1-1-1111
χ811111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111-1-11111-1-111-1-111-1-1-11111-1-1-1
χ91111111111111111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1-1
χ101111111111111111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1111111-1-11-1-11111-1
χ121111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-111111111-111-1-1-1-11
χ131111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11111-1-111-1-1111-1-111-1
χ141111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-111-1-11
χ151111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111111111111-1-11111-1-1-11111-1-1-1-111-1-1111-1-1-1-1-1-1-1
χ161111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-11111111
χ1711111111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11111-111-1-111111-1-1-1-11111-1-11-1-11-11-11-1-1
χ1811111111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-11-1-1-1111-1-1-1-111-1-11111-1-1-111-11-11-111
χ1911111111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-111-1-1111-1-11111-1-1-1-111-11-1-111-1-11-1
χ2011111111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-11-1-1-1111-1-111-1-111-1-1-1-1111-111-1-111-11
χ2111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-11-1-11111111-1-1-1-1-1-11111-11-11-1-11-11-1
χ2211111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-11-1-1-1-111-1-1-1-111111-11-111-11-11
χ2311111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-111-11-1-111111-1-1111111-1-1-1-11-1-1-11-111-1-1
χ2411111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1111-1-11-1-111-1-11111-1-1-1-1-1111-11-1-111
χ2511111111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1111111111-1111-1-1-111-1-1-1-1-111-1-1-1-1-1-1111-1-11-11-1-111
χ2611111111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-11-111-1-1-11111-1-1-1-1-1-1-1-111-111-11-111-1-1
χ2711111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1-1-111-1-1-111-1-1111111-1-1-11-1-111-11-11
χ2811111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11-111-1-1-111-1-111111111-1-11-111-1-11-11-1
χ2911111111-1-1-1-11111-1-111-1-11111-1-111-1-1111111111111-1-1-1-1-1111-1111-1-1-1-1-1-1-111-1-111-1-1-1-1-11-11-1-111-11
χ3011111111-1-1-1-11111-1-111-1-11111-1-111-1-1111111111111-1-1-1-1-11-1-1-11-1-111-11111-1-1-1-111-1-1-1-11-11-111-1-11-1
χ3111111111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1111-1-1-1-1-111-1-111-1-111111-1-1-11-11-111
χ3211111111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-11-1-111-111-1-11111-1-11111-1111-11-11-1-1
χ33222222222222-2-2-2-22222222222-2-2-2-2220000000000000000-2-200-2-20000-2000000000000000000000000
χ34222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000002200220000-2000000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-200000000000000002200-2-200002000000000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222220000000000000000-2-2002200002000000000000000000000000
χ3722222222-2-2-2-2-2-2-2-222-2-222-2-2222222-2-200000000000000002-200-220000-2000000000000000000000000
χ3822222222-2-2-2-2-2-2-2-222-2-2-2-222-2-22222220000000000000000-22002-20000-2000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222-2-2220000000000000000-2200-2200002000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-222-2-2222222-2-2-2-200000000000000002-2002-200002000000000000000000000000
χ412-222-2-2-2222-2-222-2-200000000002-2000000002i2i−2i−2i00002i2i−2i−2i0000002i−2i2i−2i0002-22-2000000000000000000
χ422-222-2-2-2222-2-222-2-200000000002-2000000002i2i−2i−2i00002i2i−2i−2i000000−2i2i−2i2i000-22-22000000000000000000
χ432-222-2-2-2222-2-222-2-200000000002-200000000−2i−2i2i2i0000−2i−2i2i2i0000002i−2i2i−2i000-22-22000000000000000000
χ442-222-2-2-2222-2-222-2-200000000002-200000000−2i−2i2i2i0000−2i−2i2i2i000000−2i2i−2i2i0002-22-2000000000000000000
χ452-222-2-2-22-2-22222-2-20000000000-22000000002i2i−2i−2i0000−2i−2i2i2i0000002i−2i−2i2i000-222-2000000000000000000
χ462-222-2-2-22-2-22222-2-20000000000-22000000002i2i−2i−2i0000−2i−2i2i2i000000−2i2i2i−2i0002-2-22000000000000000000
χ472-222-2-2-22-2-22222-2-20000000000-2200000000−2i−2i2i2i00002i2i−2i−2i0000002i−2i−2i2i0002-2-22000000000000000000
χ482-222-2-2-22-2-22222-2-20000000000-2200000000−2i−2i2i2i00002i2i−2i−2i000000−2i2i2i−2i000-222-2000000000000000000
χ492-22-2-222-22-22-200002-22-22i−2i2i−2i2i−2i00002i−2i22−2−2i2−i2i2−i222−2−2i2−i2i2−i2000000000000000002−2i2−i22−2i2−i20000000000
χ502-22-2-222-22-22-200002-22-22i−2i2i−2i2i−2i00002i−2i−2−222−i2i2−i2i2−2−222−i2i2−i2i200000000000000000−22−i2i2−22−i2i20000000000
χ512-22-2-222-22-22-200002-22-2−2i2i−2i2i−2i2i0000−2i2i22−2−2−i2i2−i2i222−2−2−i2i2−i2i2000000000000000002−2−i2i22−2−i2i20000000000
χ522-22-2-222-22-22-200002-22-2−2i2i−2i2i−2i2i0000−2i2i−2−222i2−i2i2−i2−2−222i2−i2i2−i200000000000000000−22i2−i2−22i2−i20000000000
χ532-22-2-222-22-22-20000-22-222i−2i2i−2i−2i2i0000−2i2i22−2−2i2−i2i2−i2−2−222i2−i2i2−i2000000000000000002−2−i2i2−22−i2i20000000000
χ542-22-2-222-22-22-20000-22-222i−2i2i−2i−2i2i0000−2i2i−2−222−i2i2−i2i222−2−2−i2i2−i2i200000000000000000−22i2−i22−2i2−i20000000000
χ552-22-2-222-22-22-20000-22-22−2i2i−2i2i2i−2i00002i−2i22−2−2−i2i2−i2i2−2−222−i2i2−i2i2000000000000000002−2i2−i2−22i2−i20000000000
χ562-22-2-222-22-22-20000-22-22−2i2i−2i2i2i−2i00002i−2i−2−222i2−i2i2−i222−2−2i2−i2i2−i200000000000000000−22−i2i22−2−i2i20000000000
χ572-22-2-222-2-22-2200002-2-222i−2i−2i2i2i−2i0000−2i2i22−2−2−i2i2−i2i2−2−222i2−i2i2−i200000000000000000−22i2−i22−2−i2i20000000000
χ582-22-2-222-2-22-2200002-2-222i−2i−2i2i2i−2i0000−2i2i−2−222i2−i2i2−i222−2−2−i2i2−i2i2000000000000000002−2−i2i2−22i2−i20000000000
χ592-22-2-222-2-22-2200002-2-22−2i2i2i−2i−2i2i00002i−2i22−2−2i2−i2i2−i2−2−222−i2i2−i2i200000000000000000−22−i2i22−2i2−i20000000000
χ602-22-2-222-2-22-2200002-2-22−2i2i2i−2i−2i2i00002i−2i−2−222−i2i2−i2i222−2−2i2−i2i2−i2000000000000000002−2i2−i2−22−i2i20000000000
χ612-22-2-222-2-22-220000-222-22i−2i−2i2i−2i2i00002i−2i22−2−2−i2i2−i2i222−2−2i2−i2i2−i200000000000000000−22−i2i2−22i2−i20000000000
χ622-22-2-222-2-22-220000-222-22i−2i−2i2i−2i2i00002i−2i−2−222i2−i2i2−i2−2−222−i2i2−i2i2000000000000000002−2i2−i22−2−i2i20000000000
χ632-22-2-222-2-22-220000-222-2−2i2i2i−2i2i−2i0000−2i2i22−2−2i2−i2i2−i222−2−2−i2i2−i2i200000000000000000−22i2−i2−22−i2i20000000000
χ642-22-2-222-2-22-220000-222-2−2i2i2i−2i2i−2i0000−2i2i−2−222−i2i2−i2i2−2−222i2−i2i2−i2000000000000000002−2−i2i22−2i2−i20000000000
χ65444-44-4-4-44-4-4400000000000000000000000022−22−2222000022−22−222200000000000000000000000000000000000
χ66444-44-4-4-44-4-44000000000000000000000000−222222−220000−222222−2200000000000000000000000000000000000
χ67444-44-4-4-4-444-400000000000000000000000022−22−22220000−222222−2200000000000000000000000000000000000
χ68444-44-4-4-4-444-4000000000000000000000000−222222−22000022−22−222200000000000000000000000000000000000
χ6944-4-4-44-4400004-44-40000000000000000000000004i−4i4i−4i000000000000000000000000000000000000000
χ7044-4-4-44-4400004-44-4000000000000000000000000−4i4i−4i4i000000000000000000000000000000000000000
χ7144-4-4-44-440000-44-4400000000000000004-44-400000000000000000000000000000000000000000000000
χ7244-4-4-44-440000-44-440000000000000000-44-4400000000000000000000000000000000000000000000000
χ734-444-4-4-4444-4-4-4-4440000000000-440000000000000000000000000000000000000000000000000000000
χ744-444-4-4-44-4-444-4-44400000000004-40000000000000000000000000000000000000000000000000000000
χ754-4-4444-4-4000000000000000000004i−4i0022−22−222200002i2−2i2−2i22i2000000000000000000000000000000000000000
χ764-4-4444-4-4000000000000000000004i−4i00−222222−220000−2i22i22i2−2i2000000000000000000000000000000000000000
χ774-4-4444-4-400000000000000000000−4i4i0022−22−22220000−2i22i22i2−2i2000000000000000000000000000000000000000
χ784-4-4444-4-400000000000000000000−4i4i00−222222−2200002i2−2i2−2i22i2000000000000000000000000000000000000000
χ794-4-4-44-44400004-4-4400000000000000000000000000000000004-40000000000000000000000000000000
χ804-4-4-44-44400004-4-440000000000000000000000000000000000-440000000000000000000000000000000
χ814-4-4-44-4440000-444-400000000000000000000000000000000000000000004-40000000000000000000000
χ824-4-4-44-4440000-444-40000000000000000000000000000000000000000000-440000000000000000000000
χ8388-88-8-88-8000000000000000000000000000000000000000000000000000000000000000000000000000

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