Finite Group Databasebeta

← Group #436700

Character table — Group #436700

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size11111111111111112222222244444444444444444444444444448888888888888888888888161616161616161616161616
order12222222222222224444444444444444444488888888888888882222224444444488888888224444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ611111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111
χ9111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111
χ11111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ12111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-111
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-1
χ172222222222222222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000220000-2-2-2-2000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000-2-200002222000000000000000000000000
χ192222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000-2-20000-2-222000000000000000000000000
χ202222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000022000022-2-2000000000000000000000000
χ2122222-2-22-22-2-2-2-22-20000000000002i2i−2i−2i22-2-22222−2−2−2−2i2i2i2i2−i2−i2−i2−i2000000002i−2i000022−2−2i2i2−i2−i2000000000000
χ2222222-2-22-22-2-2-2-22-20000000000002i2i−2i−2i22-2-2−2−2−2−22222−i2−i2−i2−i2i2i2i2i2000000002i−2i0000−2−222−i2−i2i2i2000000000000
χ2322222-2-22-22-2-2-2-22-20000000000002i2i−2i−2i-2-2222222−2−2−2−2i2i2i2i2−i2−i2−i2−i200000000−2i2i0000−2−222−i2−i2i2i2000000000000
χ2422222-2-22-22-2-2-2-22-20000000000002i2i−2i−2i-2-222−2−2−2−22222−i2−i2−i2−i2i2i2i2i200000000−2i2i000022−2−2i2i2−i2−i2000000000000
χ2522222-2-22-22-2-2-2-22-2000000000000−2i−2i2i2i22-2-22222−2−2−2−2−i2−i2−i2−i2i2i2i2i200000000−2i2i000022−2−2−i2−i2i2i2000000000000
χ2622222-2-22-22-2-2-2-22-2000000000000−2i−2i2i2i22-2-2−2−2−2−22222i2i2i2i2−i2−i2−i2−i200000000−2i2i0000−2−222i2i2−i2−i2000000000000
χ2722222-2-22-22-2-2-2-22-2000000000000−2i−2i2i2i-2-2222222−2−2−2−2−i2−i2−i2−i2i2i2i2i2000000002i−2i0000−2−222i2i2−i2−i2000000000000
χ2822222-2-22-22-2-2-2-22-2000000000000−2i−2i2i2i-2-222−2−2−2−22222i2i2i2i2−i2−i2−i2−i2000000002i−2i000022−2−2−i2−i2i2i2000000000000
χ292222-22-2-22-22-2-2-2-22000000002i2i−2i−2i00002i−2i2i−2ii2i2−i2−i2i2i2−i2−i222−2−222−2−22-20000000000002−22−2i2−i2i2−i2000000000000
χ302222-22-2-22-22-2-2-2-22000000002i2i−2i−2i00002i−2i2i−2i−i2−i2i2i2−i2−i2i2i2−2−222−2−2222-2000000000000−22−22−i2i2−i2i2000000000000
χ312222-22-2-22-22-2-2-2-22000000002i2i−2i−2i0000−2i2i−2i2ii2i2−i2−i2i2i2−i2−i222−2−222−2−2-22000000000000−22−22−i2i2−i2i2000000000000
χ322222-22-2-22-22-2-2-2-22000000002i2i−2i−2i0000−2i2i−2i2i−i2−i2i2i2−i2−i2i2i2−2−222−2−222-220000000000002−22−2i2−i2i2−i2000000000000
χ332222-22-2-22-22-2-2-2-2200000000−2i−2i2i2i00002i−2i2i−2ii2i2−i2−i2i2i2−i2−i2−2−222−2−222-220000000000002−22−2−i2i2−i2i2000000000000
χ342222-22-2-22-22-2-2-2-2200000000−2i−2i2i2i00002i−2i2i−2i−i2−i2i2i2−i2−i2i2i222−2−222−2−2-22000000000000−22−22i2−i2i2−i2000000000000
χ352222-22-2-22-22-2-2-2-2200000000−2i−2i2i2i0000−2i2i−2i2ii2i2−i2−i2i2i2−i2−i2−2−222−2−2222-2000000000000−22−22i2−i2i2−i2000000000000
χ362222-22-2-22-22-2-2-2-2200000000−2i−2i2i2i0000−2i2i−2i2i−i2−i2i2i2−i2−i2i2i222−2−222−2−22-20000000000002−22−2−i2i2−i2i2000000000000
χ372222-2-22-2-2-2-2222-2-222-2-222-2-2000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i0000002i−2i0000000000-222-2000000000000
χ382222-2-22-2-2-2-2222-2-222-2-222-2-2000000002i−2i−2i2i00000000−2i−2i2i2i2i2i−2i−2i0000002i−2i00000000002-2-22000000000000
χ392222-2-22-2-2-2-2222-2-222-2-222-2-200000000−2i2i2i−2i000000002i2i−2i−2i−2i−2i2i2i000000−2i2i00000000002-2-22000000000000
χ402222-2-22-2-2-2-2222-2-222-2-222-2-200000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000−2i2i0000000000-222-2000000000000
χ412222-2-22-2-2-2-2222-2-2-2-222-2-222000000002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i00000000000000−2i2i0000002-2-220000000000000000
χ422222-2-22-2-2-2-2222-2-2-2-222-2-222000000002i−2i−2i2i−2i−2i2i2i2i2i−2i−2i00000000000000−2i2i000000-222-20000000000000000
χ432222-2-22-2-2-2-2222-2-2-2-222-2-22200000000−2i2i2i−2i2i2i−2i−2i−2i−2i2i2i000000000000002i−2i000000-222-20000000000000000
χ442222-2-22-2-2-2-2222-2-2-2-222-2-22200000000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i000000000000002i−2i0000002-2-220000000000000000
χ4522-2-2222-2-2222-2-2-2-22-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000022-2-20000000000000000002i−2i00000000
χ4622-2-2222-2-2222-2-2-2-22-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000-2-222000000000000000000−2i2i00000000
χ4722-2-2222-2-2222-2-2-2-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000022-2-2000000000000000000−2i2i00000000
χ4822-2-2222-2-2222-2-2-2-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000-2-2220000000000000000002i−2i00000000
χ4922-2-2222-2-2222-2-2-2-2-22-22-22-222i−2i2i−2i−2i2i−2i2i0000000000000000000000000000002i2i−2i−2i0000000000002-2000000
χ5022-2-2222-2-2222-2-2-2-2-22-22-22-222i−2i2i−2i−2i2i−2i2i000000000000000000000000000000−2i−2i2i2i000000000000-22000000
χ5122-2-2222-2-2222-2-2-2-2-22-22-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000002i2i−2i−2i000000000000-22000000
χ5222-2-2222-2-2222-2-2-2-2-22-22-22-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000−2i−2i2i2i0000000000002-2000000
χ532-22-222-22-2-2-222-2-2222-22-2-22-20000000000002i−2i2i−2i2i−2i2i−2i0000000000000000002i−2i2i−2i000000002-20000000000
χ542-22-222-22-2-2-222-2-2222-22-2-22-20000000000002i−2i2i−2i2i−2i2i−2i000000000000000000−2i2i−2i2i00000000-220000000000
χ552-22-222-22-2-2-222-2-2222-22-2-22-2000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000002i−2i2i−2i00000000-220000000000
χ562-22-222-22-2-2-222-2-2222-22-2-22-2000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000−2i2i−2i2i000000002-20000000000
χ572-22-2-2-2-2-222222-22-2-2-2-22222-20000000000002-2-22-222-200000000002-22-200000000000000000000002-20000
χ582-22-2-2-2-2-222222-22-2-2-2-22222-20000000000002-2-22-222-20000000000-22-220000000000000000000000-220000
χ592-22-2-2-2-2-222222-22-2-2-2-22222-2000000000000-222-22-2-2200000000002-22-20000000000000000000000-220000
χ602-22-2-2-2-2-222222-22-2-2-2-22222-2000000000000-222-22-2-220000000000-22-2200000000000000000000002-20000
χ612-2-2222-2-22-2-22-222-2-22222-2-2-2000000000000000000002i−2i2i−2i2i−2i2i−2i00000000002-2-2200000000000000002i−2i00
χ622-2-2222-2-22-2-22-222-2-22222-2-2-2000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000-222-20000000000000000−2i2i00
χ632-2-2222-2-22-2-22-222-2-22222-2-2-200000000000000000000−2i2i−2i2i−2i2i−2i2i00000000002-2-220000000000000000−2i2i00
χ642-2-2222-2-22-2-22-222-2-22222-2-2-200000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000-222-200000000000000002i−2i00
χ652-2-22-2-2-22-2222-22-22-22-2-22-222000000000000000000002-2-22-222-2002-2-22000000000000000000000000002-2
χ662-2-22-2-2-22-2222-22-22-22-2-22-222000000000000000000002-2-22-222-200-222-200000000000000000000000000-22
χ672-2-22-2-2-22-2222-22-22-22-2-22-22200000000000000000000-222-22-2-22002-2-2200000000000000000000000000-22
χ682-2-22-2-2-22-2222-22-22-22-2-22-22200000000000000000000-222-22-2-2200-222-2000000000000000000000000002-2
χ6944-4-44-4-4-444-4-444-440000000000004-4-44000000000000000000000000000000000000000000000000000000
χ7044-4-44-4-4-444-4-444-44000000000000-444-4000000000000000000000000000000000000000000000000000000
χ7144-4-4-44-44-4-44-4444-4000000004-4-440000000000000000000000000000000000000000000000000000000000
χ7244-4-4-44-44-4-44-4444-400000000-444-40000000000000000000000000000000000000000000000000000000000
χ7344-4-4-4-4444-4-44-4-4444-4-444-4-4400000000000000000000000000000000000000000000000000000000000000
χ7444-4-4-4-4444-4-44-4-444-444-4-444-400000000000000000000000000000000000000000000000000000000000000
χ754-44-444-44-4-4-444-4-44-4-44-444-4400000000000000000000000000000000000000000000000000000000000000
χ764-44-44-4444-44-4-44-4-4000000000000000000002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000000000000000
χ774-44-44-4444-44-4-44-4-400000000000000000000−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000000000000000
χ784-44-4-444-4-44-4-4-44440000000000000000000022−22−222222−22−2222000000000000000000000000000000000000000000
χ794-44-4-444-4-44-4-4-444400000000000000000000−222222−22−222222−22000000000000000000000000000000000000000000
χ804-44-4-4-4-4-444444-44-4444-4-4-4-4400000000000000000000000000000000000000000000000000000000000000
χ814-4-4444-4-44-4-44-444-44-4-4-4-444400000000000000000000000000000000000000000000000000000000000000
χ824-4-444-44-4-4-44-44-444000000000000000000000000000022−2222−22−2222−22220000000000000000000000000000000000
χ834-4-444-44-4-4-44-44-4440000000000000000000000000000−2222−222222−2222−220000000000000000000000000000000000
χ844-4-44-444444-4-44-4-4-400000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000
χ854-4-44-444444-4-44-4-4-40000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000
χ864-4-44-4-4-44-4444-44-444-444-44-4-400000000000000000000000000000000000000000000000000000000000000

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