Finite Group Databasebeta

← Group #72322812

Character table — Group #72322812

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size11112222222222222244444444888888888888888888888888888816161616161616161616161616161616161616161616323232323232323232323232
order1222222222444444448888888822444444888816161616161616161616161616161616444444444488881616161616161616444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ51111111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-111
χ71111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ81111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11111-1-1
χ911111111111111111111111111-1-111-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ1011111111111111111111111111-1-111-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ1111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111
χ1211111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-1
χ1311111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111
χ1411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-111-1-111-1-1
χ1511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ1611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ17222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-200000000000000002200000000-2-2-2-200000000000000000000
χ18222222222222222222-2-2-2-2-2-2-2-222-2-222-2-222220000000000000000-2-200000000-2-22200000000000000000000
χ19222222222222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-20000000000000000-2-200000000222200000000000000000000
χ20222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000220000000022-2-200000000000000000000
χ2122222-2-22-2-222-2-2-222-22-2-2-2222-2000000000000000000002222-2-2-2-20000002i2i−2i−2i00000000000000000000002i−2i
χ2222222-2-22-2-222-2-2-222-22-2-2-2222-2000000000000000000002222-2-2-2-2000000−2i−2i2i2i0000000000000000000000−2i2i
χ2322222-2-22-2-222-2-2-222-22-2-2-2222-200000000000000000000-2-2-2-222220000002i2i−2i−2i0000000000000000000000−2i2i
χ2422222-2-22-2-222-2-2-222-22-2-2-2222-200000000000000000000-2-2-2-22222000000−2i−2i2i2i00000000000000000000002i−2i
χ252222-22-2-22-2-2-222-222-2-22-2-222-220000000000002222-2-2-2-2000000000000002i−2i2i−2i000000000000000000002i−2i00
χ262222-22-2-22-2-2-222-222-2-22-2-222-220000000000002222-2-2-2-200000000000000−2i2i−2i2i00000000000000000000−2i2i00
χ272222-22-2-22-2-2-222-222-2-22-2-222-22000000000000-2-2-2-22222000000000000002i−2i2i−2i00000000000000000000−2i2i00
χ282222-22-2-22-2-2-222-222-2-22-2-222-22000000000000-2-2-2-2222200000000000000−2i2i−2i2i000000000000000000002i−2i00
χ292222-2-22-2-222222-2-2-2-2000000002222-2-2-2-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-2000000000000i2i2−i2−i2i2i2−i2−i2000000000000
χ302222-2-22-2-222222-2-2-2-2000000002222-2-2-2-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-2000000000000−i2−i2i2i2−i2−i2i2i2000000000000
χ312222-2-22-2-222222-2-2-2-20000000022-2-2-2-2220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2-22000000000000i2i2−i2−i2−i2−i2i2i2000000000000
χ322222-2-22-2-222222-2-2-2-20000000022-2-2-2-2220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-22000000000000−i2−i2i2i2i2i2−i2−i2000000000000
χ332222-2-22-2-222222-2-2-2-200000000-2-22222-2-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-22000000000000−i2−i2i2i2−i2−i2i2i2000000000000
χ342222-2-22-2-222222-2-2-2-200000000-2-22222-2-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-22000000000000i2i2−i2−i2i2i2−i2−i2000000000000
χ352222-2-22-2-222222-2-2-2-200000000-2-2-2-222220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i22-2000000000000−i2−i2i2i2i2i2−i2−i2000000000000
χ362222-2-22-2-222222-2-2-2-200000000-2-2-2-222220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i22-2000000000000i2i2−i2−i2−i2−i2i2i2000000000000
χ372222-2-22-2-22-2-2-2-2222222-2-2-2-222002-2002-222-2-200000000000000000022-2-200000000000000002-20000000000
χ382222-2-22-2-22-2-2-2-2222222-2-2-2-222002-2002-222-2-2000000000000000000-2-2220000000000000000-220000000000
χ392222-2-22-2-22-2-2-2-2222222-2-2-2-22200-2200-22-2-22200000000000000000022-2-20000000000000000-220000000000
χ402222-2-22-2-22-2-2-2-2222222-2-2-2-22200-2200-22-2-222000000000000000000-2-22200000000000000002-20000000000
χ412222-2-22-2-22-2-2-2-22222-2-22222-2-2002-2002-2-2-22200000000000000000000002-2-220000000000000000002-20000
χ422222-2-22-2-22-2-2-2-22222-2-22222-2-2002-2002-2-2-2220000000000000000000000-222-2000000000000000000-220000
χ432222-2-22-2-22-2-2-2-22222-2-22222-2-200-2200-2222-2-200000000000000000000002-2-22000000000000000000-220000
χ442222-2-22-2-22-2-2-2-22222-2-22222-2-200-2200-2222-2-20000000000000000000000-222-20000000000000000002-20000
χ452-22-2222-2-2-22-22-22-22-22-22-22-2-222-2002-20000002-22-22-22-20000000000000000002-2002-22-20000000000000000
χ462-22-2222-2-2-22-22-22-22-22-22-22-2-222-2002-2000000-22-22-22-220000000000000000002-200-22-220000000000000000
χ472-22-2222-2-2-22-22-22-22-22-22-22-2-22-2200-220000002-22-22-22-2000000000000000000-2200-22-220000000000000000
χ482-22-2222-2-2-22-22-22-22-22-22-22-2-22-2200-22000000-22-22-22-22000000000000000000-22002-22-20000000000000000
χ492-22-2222-2-2-22-22-22-22-2-22-22-222-22-2002-2000000000000002-22-22-22-20000000000-220000002-22-2000000000000
χ502-22-2222-2-2-22-22-22-22-2-22-22-222-22-2002-200000000000000-22-22-22-220000000000-22000000-22-22000000000000
χ512-22-2222-2-2-22-22-22-22-2-22-22-222-2-2200-22000000000000002-22-22-22-200000000002-2000000-22-22000000000000
χ522-22-2222-2-2-22-22-22-22-2-22-22-222-2-2200-2200000000000000-22-22-22-2200000000002-20000002-22-2000000000000
χ532-22-22-2-2-2222-2-22-2-222-2-22-2-2222000000000000000000002-22-2-22-22002-22-2000000000000000000002-2000000
χ542-22-22-2-2-2222-2-22-2-222-2-22-2-2222000000000000000000002-22-2-22-2200-22-2200000000000000000000-22000000
χ552-22-22-2-2-2222-2-22-2-222-2-22-2-222200000000000000000000-22-222-22-2002-22-200000000000000000000-22000000
χ562-22-22-2-2-2222-2-22-2-222-2-22-2-222200000000000000000000-22-222-22-200-22-22000000000000000000002-2000000
χ572-22-2-22-22-22-222-2-2-222-2-2-222-2220000000000002-22-2-22-2200000000002-2-220000000000000000002-200000000
χ582-22-2-22-22-22-222-2-2-222-2-2-222-2220000000000002-22-2-22-220000000000-222-2000000000000000000-2200000000
χ592-22-2-22-22-22-222-2-2-222-2-2-222-222000000000000-22-222-22-200000000002-2-22000000000000000000-2200000000
χ602-22-2-22-22-22-222-2-2-222-2-2-222-222000000000000-22-222-22-20000000000-222-20000000000000000002-200000000
χ612-22-2-2-2222-22-22-2-22-22000000002-200-22002-22-2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000000000002-2i2−i2−i2i2i2−i2−i2i2000000000000
χ622-22-2-2-2222-22-22-2-22-22000000002-200-22002-22-2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000000000002-2−i2i2i2−i2−i2i2i2−i2000000000000
χ632-22-2-2-2222-22-22-2-22-22000000002-200-2200-22-22i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2000000000000-22i2−i2−i2i2−i2i2i2−i2000000000000
χ642-22-2-2-2222-22-22-2-22-22000000002-200-2200-22-22−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2000000000000-22−i2i2i2−i2i2−i2−i2i2000000000000
χ652-22-2-2-2222-22-22-2-22-2200000000-22002-2002-22-2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2000000000000-22−i2i2i2−i2−i2i2i2−i2000000000000
χ662-22-2-2-2222-22-22-2-22-2200000000-22002-2002-22-2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2000000000000-22i2−i2−i2i2i2−i2−i2i2000000000000
χ672-22-2-2-2222-22-22-2-22-2200000000-22002-200-22-22i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i20000000000002-2−i2i2i2−i2i2−i2−i2i2000000000000
χ682-22-2-2-2222-22-22-2-22-2200000000-22002-200-22-22−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i20000000000002-2i2−i2−i2i2−i2i2i2−i2000000000000
χ694444444444-4-4-4-4-4-4-4-400000000004-400-44000000000000000000000000000000000000000000000000000000
χ704444444444-4-4-4-4-4-4-4-40000000000-44004-4000000000000000000000000000000000000000000000000000000
χ7144444-4-44-4-444-4-4-444-4-4444-4-4-4400000000000000000000000000000000000000000000000000000000000000
χ7244444-4-44-4-4-4-4444-4-44000000000000000000002i22i2−2i2−2i2−2i2−2i22i22i2000000000000000000000000000000000000000000
χ7344444-4-44-4-4-4-4444-4-4400000000000000000000−2i2−2i22i22i22i22i2−2i2−2i2000000000000000000000000000000000000000000
χ744444-44-4-44-444-4-44-4-4400000000000000000000000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000000
χ754444-44-4-44-444-4-44-4-440000000000000000000000000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000000000000000
χ764444-44-4-44-4-4-444-444-44-444-4-44-400000000000000000000000000000000000000000000000000000000000000
χ774-44-4444-4-4-4-44-44-44-4400000000000000004-4-4400000000000000000000000000000000000000000000000000
χ784-44-4444-4-4-4-44-44-44-440000000000000000-444-400000000000000000000000000000000000000000000000000
χ794-44-44-4-4-4444-4-44-4-44444-444-4-4-400000000000000000000000000000000000000000000000000000000000000
χ804-44-44-4-4-444-444-444-4-4000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000000000
χ814-44-44-4-4-444-444-444-4-400000000000000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000000000
χ824-44-4-44-44-444-4-4444-4-400000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000
χ834-44-4-44-44-444-4-4444-4-40000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000
χ844-44-4-44-44-44-444-4-4-444444-4-44-4-400000000000000000000000000000000000000000000000000000000000000
χ854-44-4-4-4444-4-44-444-44-44-4-44-44-4400000000000000000000000000000000000000000000000000000000000000
χ864-44-4-4-4444-4-44-444-44-4-444-44-44-400000000000000000000000000000000000000000000000000000000000000
χ871616-16-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8816-16-1616000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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