Finite Group Databasebeta

← Group #6573545

Character table — Group #6573545

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11111111222222222222222222224444444444444444444444444444448888888888888888888888888888888161616161616
order12222222222244444444444444442222222222444444444444888888882222244444444444444888888888888244444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111111111-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-111-1-1-1-111-1-11111-1-1-1-1-1111-1-1
χ611111111111111111111-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-1-1-111-1-111-1-111-1-1-1-111111-1-1-111
χ711111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1111111-1-11111-1-1-1-11-1-1-111
χ811111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-111-1-1-11111-1-1-111-1-1-1-111-1-1-1-11111-1111-1-1
χ9111111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-11111111111111111111-1-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-11-11
χ10111111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111111-11-1
χ11111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-111-111-1-111-111-1-1-1-1-1-1-1-111-1-111-1-1111-11-1
χ12111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1111111-111-1-1111111-1-111-1-111-1-1-11-11
χ13111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-111-1
χ14111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-111-1-11
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-11111-1-1-1-111-111-1-11
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111111-1-111111-1-111-1-1-1-11111-1-11-1-111-1
χ1711111111-1-1-1-11111-1-1-1-111111111-1-111-1-111111111-1-1-1-1111111111111-1-1-1-1-11111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11-1
χ1811111111-1-1-1-11111-1-1-1-111111111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1111111111-111-11
χ1911111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-111-11
χ2011111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1111111-1-1-1-111111111-11-1-11-1
χ2111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-111-11111-1-11-1-111-1-111-1-1-1-1-1-1111111-1-1-11
χ2211111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-111-1-1-1-11-1-11111-1-1111111-1-1-1-1-1-1111-1
χ2311111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1111-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-11111-1-1111-1
χ2411111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-111-1-1-11
χ2511111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-111-1-1-111-1-1111-1-111-1-1-1-1-1-111-1-1111-11-1-1-1
χ2611111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-11-1111
χ2711111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-111-1-1111-1-111-1-1-1-1-1-1-1-111-1-111-11-1111
χ2811111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111-1-11111111111-1-111-1-11-11-1-1-1
χ2911111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11-1-1-1-11-1-11111-11111-1-1-1-111-1-11111-1-1-1-11-111
χ3011111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-111-111111111-1-111-1-1-1-11111-11-1-1
χ3111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-11-1-1
χ3211111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11-111
χ33222222222222222222222222-2-2-2-2-2-2-2-2220000-2-222-2-222000000000000-20000-2000000-2000000000000000000000000
χ3422222222222222222222-2-2-2-2-2-2-2-2-2-222-2-20000-2-2-2-2-2-2-2-20000000000002000020000002000000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-2000022-2-2-2-222000000000000-2000020000002000000000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222200002222-2-2-2-200000000000020000-2000000-2000000000000000000000000
χ3722222222-2-2-2-22222-2-2-2-22222-2-2-2-222-2-2-2-20000-2-22222-2-200000000000020000-20000002000000000000000000000000
χ3822222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222220000-2-2-2-22222000000000000-200002000000-2000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222000022-2-222-2-2000000000000200002000000-2000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-222-2-2000022222222000000000000-20000-20000002000000000000000000000000
χ4122-2-22-22-222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000002-20000002-2002i−2i000022−2−2i2i2−i2−i20000000000000000000i2−i22−22−2i2−i2i2−i22−2000000
χ4222-2-22-22-222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000002-20000002-2002i−2i0000−2−222−i2−i2i2i20000000000000000000−i2i2−22−22−i2i2−i2i2−22000000
χ4322-2-22-22-222-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i00000000-22000000-2200−2i2i000022−2−2−i2−i2i2i20000000000000000000i2−i2−222−2i2−i2−i2i2−22000000
χ4422-2-22-22-222-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i00000000-22000000-2200−2i2i0000−2−222i2i2−i2−i20000000000000000000−i2i22−2−22−i2i2i2−i22−2000000
χ4522-2-22-22-222-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i00000000-22000000-22002i−2i000022−2−2i2i2−i2−i20000000000000000000−i2i2−222−2−i2i2i2−i2−22000000
χ4622-2-22-22-222-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i00000000-22000000-22002i−2i0000−2−222−i2−i2i2i20000000000000000000i2−i22−2−22i2−i2−i2i22−2000000
χ4722-2-22-22-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000002-20000002-200−2i2i000022−2−2−i2−i2i2i20000000000000000000−i2i22−22−2−i2i2−i2i22−2000000
χ4822-2-22-22-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000002-20000002-200−2i2i0000−2−222i2i2−i2−i20000000000000000000i2−i2−22−22i2−i2i2−i2−22000000
χ4922-2-22-22-2-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000-220000002-200−2i2i000022−2−2i2i2−i2−i20000000000000000000i2−i22−2−22−i2i2−i2i2−22000000
χ5022-2-22-22-2-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000-220000002-200−2i2i0000−2−222−i2−i2i2i20000000000000000000−i2i2−222−2i2−i2i2−i22−2000000
χ5122-2-22-22-2-2-2222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000002-2000000-22002i−2i000022−2−2−i2−i2i2i20000000000000000000i2−i2−22−22−i2i2i2−i22−2000000
χ5222-2-22-22-2-2-2222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000002-2000000-22002i−2i0000−2−222i2i2−i2−i20000000000000000000−i2i22−22−2i2−i2−i2i2−22000000
χ5322-2-22-22-2-2-222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000002-2000000-2200−2i2i000022−2−2i2i2−i2−i20000000000000000000−i2i2−22−22i2−i2−i2i22−2000000
χ5422-2-22-22-2-2-222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000002-2000000-2200−2i2i0000−2−222−i2−i2i2i20000000000000000000i2−i22−22−2−i2i2i2−i2−22000000
χ5522-2-22-22-2-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i00000000-220000002-2002i−2i000022−2−2−i2−i2i2i20000000000000000000−i2i22−2−22i2−i2i2−i2−22000000
χ5622-2-22-22-2-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i00000000-220000002-2002i−2i0000−2−222i2i2−i2−i20000000000000000000i2−i2−222−2−i2i2−i2i22−2000000
χ572-22-22-2-220000000000002-22-2-2-222002-20022-2-20000000022-2-22-22-22-22-2000000002-200000002-2000000000000000000
χ582-22-22-2-220000000000002-22-2-2-222002-20022-2-20000000022-2-2-22-22-22-2200000000-220000000-22000000000000000000
χ592-22-22-2-220000000000002-22-2-2-222002-200-2-22200000000-2-2222-22-22-22-200000000-220000000-22000000000000000000
χ602-22-22-2-220000000000002-22-2-2-222002-200-2-22200000000-2-222-22-22-22-22000000002-200000002-2000000000000000000
χ612-22-22-2-22000000000000-22-22-2-22200-220022-2-200000000-2-2222-22-2-22-22000000002-20000000-22000000000000000000
χ622-22-22-2-22000000000000-22-22-2-22200-220022-2-200000000-2-222-22-222-22-200000000-2200000002-2000000000000000000
χ632-22-22-2-22000000000000-22-22-2-22200-2200-2-2220000000022-2-22-22-2-22-2200000000-2200000002-2000000000000000000
χ642-22-22-2-22000000000000-22-22-2-22200-2200-2-2220000000022-2-2-22-222-22-2000000002-20000000-22000000000000000000
χ652-2-2-2-22222-22-22-22-22-22-200002-22-22-2000000002-2002-2002-22-2000000000002-2000002-20002-200000000000000000000
χ662-2-2-2-22222-22-22-22-22-22-200002-22-22-2000000002-2002-200-22-2200000000000-2200000-22000-2200000000000000000000
χ672-2-2-2-22222-22-22-22-22-22-20000-22-22-2200002-22-2-2200-220000000000000002-20002-2000002-20000000000000000000000
χ682-2-2-2-22222-22-22-22-22-22-20000-22-22-220000-22-22-2200-22000000000000000-22000-2200000-220000000000000000000000
χ692-2-2-2-22222-22-2-22-22-22-2200002-22-2-2200000000-22002-2002-22-200000000000-2200000-220002-200000000000000000000
χ702-2-2-2-22222-22-2-22-22-22-2200002-22-2-2200000000-22002-200-22-22000000000002-2000002-2000-2200000000000000000000
χ712-2-2-2-22222-22-2-22-22-22-220000-22-222-200002-22-22-200-220000000000000002-2000-2200000-220000000000000000000000
χ722-2-2-2-22222-22-2-22-22-22-220000-22-222-20000-22-222-200-22000000000000000-220002-2000002-20000000000000000000000
χ732-2-2-2-2222-22-222-22-2-22-2200002-22-2-22000000002-200-22002-22-200000000000-22000002-2000-2200000000000000000000
χ742-2-2-2-2222-22-222-22-2-22-2200002-22-2-22000000002-200-2200-22-22000000000002-200000-220002-200000000000000000000
χ752-2-2-2-2222-22-222-22-2-22-220000-22-222-200002-22-2-22002-2000000000000000-220002-200000-220000000000000000000000
χ762-2-2-2-2222-22-222-22-2-22-220000-22-222-20000-22-22-22002-20000000000000002-2000-22000002-20000000000000000000000
χ772-2-2-2-2222-22-22-22-222-22-200002-22-22-200000000-2200-22002-22-2000000000002-200000-22000-2200000000000000000000
χ782-2-2-2-2222-22-22-22-222-22-200002-22-22-200000000-2200-2200-22-2200000000000-22000002-20002-200000000000000000000
χ792-2-2-2-2222-22-22-22-222-22-20000-22-22-2200002-22-22-2002-2000000000000000-22000-22000002-20000000000000000000000
χ802-2-2-2-2222-22-22-22-222-22-20000-22-22-220000-22-222-2002-20000000000000002-20002-200000-220000000000000000000000
χ8144-44-4-4-4400000000000000004-4-440000004-4-44000000000000000000000000000000000000000000000000000000000
χ8244-44-4-4-4400000000000000004-4-44000000-444-4000000000000000000000000000000000000000000000000000000000
χ8344-44-4-4-440000000000000000-444-40000000000000000004-4-44000000000000000000000000000000000000000000000
χ8444-44-4-4-440000000000000000-444-4000000000000000000-444-4000000000000000000000000000000000000000000000
χ854-444-4-44-44-4-444i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ864-444-4-44-44-4-44−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ874-444-4-44-4-444-44i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ884-444-4-44-4-444-4−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ894-44-44-4-440000000000004-44-444-4-400-44000000000000000000000000000000000000000000000000000000000000000
χ904-44-44-4-44000000000000-44-4444-4-4004-4000000000000000000000000000000000000000000000000000000000000000
χ914-4-4444-4-40000000000004i−4i−4i4i0000000000000000000000000022−22−22222i2−2i2−2i22i20000000000000000000000000000000000000
χ924-4-4444-4-40000000000004i−4i−4i4i00000000000000000000000000−222222−22−2i22i22i2−2i20000000000000000000000000000000000000
χ934-4-4444-4-4000000000000−4i4i4i−4i0000000000000000000000000022−22−2222−2i22i22i2−2i20000000000000000000000000000000000000
χ944-4-4444-4-4000000000000−4i4i4i−4i00000000000000000000000000−222222−222i2−2i2−2i22i20000000000000000000000000000000000000
χ95888-8-88-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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