Finite Group Databasebeta

← Group #6482009

Character table — Group #6482009

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111111122222222222222224444444444444444444444888888888888888888888888888888881616161616161616
order12222222222244444444444444444444444444444444442222444444444444888888888888888822444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-1
χ10111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111
χ11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-11-1-111
χ12111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-111-1-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-1-111
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1111-1-1
χ15111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1111-1-1
χ16111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-1-111
χ1711111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-1
χ1811111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-11-11-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-11-11
χ1911111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-111111-11-1-1-111-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-11-11
χ2011111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-111111-11-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-11-11-1
χ2111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-11-1111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-11-11
χ2211111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-11-1111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-1111-11-1
χ2311111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-11-11-1-11111-1-111-1-111-1-111-1-1-1-111-1-111-1-1111-11-1
χ2411111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-11-11-1-11111-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-11-11
χ2511111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1111111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-11
χ2611111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1111111-1-1-1-11-1-11-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1-111-1
χ2711111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-111111-1-1111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-111-1-111-1
χ2811111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-111-1-11
χ2911111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-11111-1-1-1-1-111-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-11-1-11-111-1
χ3011111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-11111-1-1-1-1-111-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-111-11-1-11
χ3111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-11111-111-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-11-1-11
χ3211111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-11111-111-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1111-1-11-111-1
χ3322222222222222222222-2-2-2-2-2-2-2-2-2-22222222200000000-2-2-2-2000000000000000000000000000000000000
χ3422222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000002222000000000000000000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-200000000-2-222000000000000000000000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-222220000000022-2-2000000000000000000000000000000000000
χ3722222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2222222-2-222-2-200000000-22-22000000000000000000000000000000000000
χ3822222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222-2-222-2-222000000002-22-2000000000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-22222-2-2-2-22200000000-222-2000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-222-2-22222-2-2000000002-2-22000000000000000000000000000000000000
χ4122-22-22-2-222-2-222-2-222-2-200000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000i2−i2i2−i2i2−i2i2−i22−22−22−22−200000000
χ4222-22-22-2-222-2-222-2-222-2-200000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000−i2i2−i2i2−i2i2−i2i2−22−22−22−2200000000
χ4322-22-22-2-222-2-222-2-222-2-20000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000i2−i2i2−i2i2−i2i2−i2−22−22−22−2200000000
χ4422-22-22-2-222-2-222-2-222-2-20000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000−i2i2−i2i2−i2i2−i2i22−22−22−22−200000000
χ4522-22-22-2-222-2-2-2-222-2-22200000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000i2−i2i2−i2−i2i2−i2i22−22−2−22−2200000000
χ4622-22-22-2-222-2-2-2-222-2-22200000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000−i2i2−i2i2i2−i2i2−i2−22−222−22−200000000
χ4722-22-22-2-222-2-2-2-222-2-2220000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000i2−i2i2−i2−i2i2−i2i2−22−222−22−200000000
χ4822-22-22-2-222-2-2-2-222-2-2220000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000−i2i2−i2i2i2−i2i2−i22−22−2−22−2200000000
χ4922-22-22-2-2-2-22222-2-2-2-22200000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000i2−i2−i2i2i2−i2−i2i22−2−222−2−2200000000
χ5022-22-22-2-2-2-22222-2-2-2-22200000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000−i2i2i2−i2−i2i2i2−i2−222−2−222−200000000
χ5122-22-22-2-2-2-22222-2-2-2-2220000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000i2−i2−i2i2i2−i2−i2i2−222−2−222−200000000
χ5222-22-22-2-2-2-22222-2-2-2-2220000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000−i2i2i2−i2−i2i2i2−i22−2−222−2−2200000000
χ5322-22-22-2-2-2-222-2-22222-2-200000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000i2−i2−i2i2−i2i2i2−i22−2−22−222−200000000
χ5422-22-22-2-2-2-222-2-22222-2-200000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000−i2i2i2−i2i2−i2−i2i2−222−22−2−2200000000
χ5522-22-22-2-2-2-222-2-22222-2-20000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000i2−i2−i2i2−i2i2i2−i2−222−22−2−2200000000
χ5622-22-22-2-2-2-222-2-22222-2-20000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000−i2i2i2−i2i2−i2−i2i22−2−22−222−200000000
χ572-2222-2-2-22-22-22-22-22-22-222-2-22-22-22-20000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ582-2222-2-2-22-22-22-22-22-22-222-2-22-22-22-2000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ592-2222-2-2-22-22-22-22-22-22-2-2-222-22-22-22000000002i2i−2i−2i2i2i−2i−2i00002i−2i2i−2i00000000000000000000000000000000
χ602-2222-2-2-22-22-22-22-22-22-2-2-222-22-22-2200000000−2i−2i2i2i−2i−2i2i2i0000−2i2i−2i2i00000000000000000000000000000000
χ612-2222-2-2-22-22-2-22-22-22-2222-2-2-22-222-20000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ622-2222-2-2-22-22-2-22-22-22-2222-2-2-22-222-2000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ632-2222-2-2-22-22-2-22-22-22-22-2-2222-22-2-22000000002i2i−2i−2i2i2i−2i−2i0000−2i2i−2i2i00000000000000000000000000000000
χ642-2222-2-2-22-22-2-22-22-22-22-2-2222-22-2-2200000000−2i−2i2i2i−2i−2i2i2i00002i−2i2i−2i00000000000000000000000000000000
χ652-2222-2-2-2-22-222-22-2-22-2222-2-22-2-22-220000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ662-2222-2-2-2-22-222-22-2-22-2222-2-22-2-22-22000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ672-2222-2-2-2-22-222-22-2-22-22-2-222-222-22-2000000002i2i−2i−2i−2i−2i2i2i00002i−2i−2i2i00000000000000000000000000000000
χ682-2222-2-2-2-22-222-22-2-22-22-2-222-222-22-200000000−2i−2i2i2i2i2i−2i−2i0000−2i2i2i−2i00000000000000000000000000000000
χ692-2222-2-2-2-22-22-22-222-22-222-2-2-222-2-220000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ702-2222-2-2-2-22-22-22-222-22-222-2-2-222-2-22000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ712-2222-2-2-2-22-22-22-222-22-2-2-2222-2-222-2000000002i2i−2i−2i−2i−2i2i2i0000−2i2i2i−2i00000000000000000000000000000000
χ722-2222-2-2-2-22-22-22-222-22-2-2-2222-2-222-200000000−2i−2i2i2i2i2i−2i−2i00002i−2i−2i2i00000000000000000000000000000000
χ7344-4-44-44-40000000000004-44-40000000000000000004i−4i4i−4i0000000000000000000000000000000000000000
χ7444-4-44-44-40000000000004-44-4000000000000000000−4i4i−4i4i0000000000000000000000000000000000000000
χ7544-4-44-44-4000000000000-44-44000000000000004i−4i4i−4i00000000000000000000000000000000000000000000
χ7644-4-44-44-4000000000000-44-4400000000000000−4i4i−4i4i00000000000000000000000000000000000000000000
χ774-4-44-4-4444-4-444-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000
χ784-4-44-4-4444-4-44-444-4-444-4000000000000000000000000000000000000000000000000000000000000000000
χ794-4-44-4-444-444-44-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000
χ804-4-44-4-444-444-4-444-44-4-44000000000000000000000000000000000000000000000000000000000000000000
χ814-4-4-444-440000000000004-4-44000000000000004-4-4400000000000000000000000000000000000000000000
χ824-4-4-444-440000000000004-4-4400000000000000-444-400000000000000000000000000000000000000000000
χ834-4-4-444-44000000000000-444-40000000000000000004-4-440000000000000000000000000000000000000000
χ844-4-4-444-44000000000000-444-4000000000000000000-444-40000000000000000000000000000000000000000
χ85888-8-8-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000

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