Finite Group Databasebeta

← Group #72317702

Character table — Group #72317702

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size111111112222222244444444444444444488888888888888888888888888881616161616161616161616161616161616161616323232323232323232323232
order1222222222222222222222222222224444222222222244444444444444444422444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1
χ911111111-1-1-1-1111111111-1-1-1-1-1-11111111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11-11-111-1-111-1-1
χ1011111111-1-1-1-1111111111-1-1-1-1-1-11111111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-11-11-1-111-1-111
χ1111111111-1-1-1-1111111111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-111-111-1-1-1-111
χ1211111111-1-1-1-1111111111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111-1-11-1-11111-1-1
χ1311111111-1-1-1-1111111111-1-1-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111111-11-1-1-111-1-111
χ1411111111-1-1-1-1111111111-1-1-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-11-1111-1-111-1-1
χ1511111111-1-1-1-1111111111-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1-111-1-1-11111-1-1
χ1611111111-1-1-1-1111111111-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-111
χ172222222222222222222-2-2222222-2-22-2-2-2-2-2-20000000022222222-2-20000000000000000-2-2-2-200000000000000000000
χ182222222222222222222-2-2222222-2-22-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2-2-20000000000000000222200000000000000000000
χ192222222222222222-2-2-22222-2-2-2-222-2-2-2-2-2220000000000000000-2-2000000002222000000000000000000-2-200000000
χ202222222222222222-2-2-22222-2-2-2-222-2-2-2-2-2220000000000000000-2-200000000-2-2-2-20000000000000000002200000000
χ212222222222222222-2-2-2-2-222-2-2-2-2-2-2-22222-2-20000000000000000220000000000002222000000000000-2-20000000000
χ222222222222222222-2-2-2-2-222-2-2-2-2-2-2-22222-2-2000000000000000022000000000000-2-2-2-2000000000000220000000000
χ2322222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-22-2-2-2-222000000002222-2-2-2-2220000000000000000-2-22200000000000000000000
χ2422222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-22-2-2-2-22200000000-2-2-2-2222222000000000000000022-2-200000000000000000000
χ2522222222-2-2-2-22222-2-2-222-2-2222222-2-2-2-2-2-2-20000000000000000220000000022-2-2000000000000000000-2200000000
χ2622222222-2-2-2-22222-2-2-222-2-2222222-2-2-2-2-2-2-200000000000000002200000000-2-2220000000000000000002-200000000
χ2722222222-2-2-2-22222-2-2-2-2-2-2-22222-2-2-22222220000000000000000-2-200000000000022-2-2000000000000-220000000000
χ2822222222-2-2-2-22222-2-2-2-2-2-2-22222-2-2-22222220000000000000000-2-2000000000000-2-2220000000000002-20000000000
χ2922-22-2-2-22000022-2-222-22-20000002-2-22-22-200000022-2-200002i2i−2i−2i00000022-2-200000000002i−2i2i2i−2i−2i0000000000000000
χ3022-22-2-2-22000022-2-222-22-20000002-2-22-22-200000022-2-20000−2i−2i2i2i00000022-2-20000000000−2i2i−2i−2i2i2i0000000000000000
χ3122-22-2-2-22000022-2-222-22-20000002-2-22-22-2000000-2-22200002i2i−2i−2i000000-2-22200000000002i−2i−2i−2i2i2i0000000000000000
χ3222-22-2-2-22000022-2-222-22-20000002-2-22-22-2000000-2-2220000−2i−2i2i2i000000-2-2220000000000−2i2i2i2i−2i−2i0000000000000000
χ3322-22-2-2-22000022-2-222-2-22000000-22-2-22-220022-2-2000000002i2i−2i−2i0022-2-200000000000000−2i2i00002i2i−2i−2i000000000000
χ3422-22-2-2-22000022-2-222-2-22000000-22-2-22-220022-2-200000000−2i−2i2i2i0022-2-2000000000000002i−2i0000−2i−2i2i2i000000000000
χ3522-22-2-2-22000022-2-222-2-22000000-22-2-22-2200-2-222000000002i2i−2i−2i00-2-22200000000000000−2i2i0000−2i−2i2i2i000000000000
χ3622-22-2-2-22000022-2-222-2-22000000-22-2-22-2200-2-22200000000−2i−2i2i2i00-2-222000000000000002i−2i00002i2i−2i−2i000000000000
χ372-22-22-2-2200002-22-22-222-2000000-22-2-222-2002-22-200002i2i−2i−2i0000002-22-20000000000002i−2i002i−2i2i−2i0000000000000000
χ382-22-22-2-2200002-22-22-222-2000000-22-2-222-2002-22-20000−2i−2i2i2i0000002-22-2000000000000−2i2i00−2i2i−2i2i0000000000000000
χ392-22-22-2-2200002-22-22-222-2000000-22-2-222-200-22-2200002i2i−2i−2i000000-22-220000000000002i−2i00−2i2i−2i2i0000000000000000
χ402-22-22-2-2200002-22-22-222-2000000-22-2-222-200-22-220000−2i−2i2i2i000000-22-22000000000000−2i2i002i−2i2i−2i0000000000000000
χ412-22-22-2-2200002-22-22-22-220000002-2-22-2-220000002-22-22i2i−2i−2i00000000002-22-200000000−2i2i0000002i−2i2i−2i000000000000
χ422-22-22-2-2200002-22-22-22-220000002-2-22-2-220000002-22-2−2i−2i2i2i00000000002-22-2000000002i−2i000000−2i2i−2i2i000000000000
χ432-22-22-2-2200002-22-22-22-220000002-2-22-2-22000000-22-222i2i−2i−2i0000000000-22-2200000000−2i2i000000−2i2i−2i2i000000000000
χ442-22-22-2-2200002-22-22-22-220000002-2-22-2-22000000-22-22−2i−2i2i2i0000000000-22-22000000002i−2i0000002i−2i2i−2i000000000000
χ452-2-2-2-222222-2-22-2-222-2-2222-222-2-2-2-22-2-2222-200000000000000002-2000000000000000000002-2-222-2-22000000000000
χ462-2-2-2-222222-2-22-2-222-2-2222-222-2-2-2-22-2-2222-200000000000000002-200000000000000000000-222-2-222-2000000000000
χ472-2-2-2-222222-2-22-2-222-2-2-2-22-222-2-222222-2-2-222-2-222-2-2200000000-222-2-222-2-2200000000000000000000000000000000
χ482-2-2-2-222222-2-22-2-222-2-2-2-22-222-2-222222-2-2-22-222-2-222-200000000-22-222-2-222-200000000000000000000000000000000
χ492-2-2-2-222222-2-22-2-22-222222-2-2-222-2-2-222-2-22-20000000000000000-220000000000000000000000000000000000002i−2i2i−2i
χ502-2-2-2-222222-2-22-2-22-222222-2-2-222-2-2-222-2-22-20000000000000000-22000000000000000000000000000000000000−2i2i−2i2i
χ512-2-2-2-222222-2-22-2-22-222-2-22-2-2-22222-2-2-222-2200000000000000002-2000000000000000000000000000000002-22-20000
χ522-2-2-2-222222-2-22-2-22-222-2-22-2-2-22222-2-2-222-2200000000000000002-200000000000000000000000000000000-22-220000
χ532-2-2-2-2222-2-2222-2-222-2-222-22-2-222-2-22-2-222-220000000000000000-22000000000000000000002-2-22-222-2000000000000
χ542-2-2-2-2222-2-2222-2-222-2-222-22-2-222-2-22-2-222-220000000000000000-2200000000000000000000-222-22-2-22000000000000
χ552-2-2-2-2222-2-2222-2-222-2-2-2-2-22-2-22222222-2-22-22-2-22-222-2000000002-22-2-22-222-200000000000000000000000000000000
χ562-2-2-2-2222-2-2222-2-222-2-2-2-2-22-2-22222222-2-22-2-222-22-2-22000000002-2-222-22-2-2200000000000000000000000000000000
χ572-2-2-2-2222-2-2222-2-22-22222-2222-2-2-2-2-222-2-2-2200000000000000002-20000000000000000000000000000000000002i−2i−2i2i
χ582-2-2-2-2222-2-2222-2-22-22222-2222-2-2-2-2-222-2-2-2200000000000000002-2000000000000000000000000000000000000−2i2i2i−2i
χ592-2-2-2-2222-2-2222-2-22-222-2-2-2222-2-222-2-2-2222-20000000000000000-22000000000000000000000000000000002-2-220000
χ602-2-2-2-2222-2-2222-2-22-222-2-2-2222-2-222-2-2-2222-20000000000000000-2200000000000000000000000000000000-222-20000
χ61444444444444-4-4-4-400000-4-40000000000000222222220000000000-2-2-2-2-2-2-2-200000000000000000000000000000000
χ62444444444444-4-4-4-400000-4-40000000000000-2-2-2-2-2-2-2-200000000002222222200000000000000000000000000000000
χ6344444444-4-4-4-4-4-4-4-4000004400000000000002222-2-2-2-20000000000-2-2-2-2222200000000000000000000000000000000
χ6444444444-4-4-4-4-4-4-4-400000440000000000000-2-2-2-2222200000000002222-2-2-2-200000000000000000000000000000000
χ65444-4-44-4-44-44-4000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000002-22-22i−2i2i−2i000000000000000000000000
χ66444-4-44-4-44-44-4000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000-22-22−2i2i−2i2i000000000000000000000000
χ67444-4-44-4-44-44-400000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000002-22-2−2i2i−2i2i000000000000000000000000
χ68444-4-44-4-44-44-400000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000-22-222i−2i2i−2i000000000000000000000000
χ69444-4-44-4-4-44-44000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000002-2-222i−2i−2i2i000000000000000000000000
χ70444-4-44-4-4-44-44000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000-222-2−2i2i2i−2i000000000000000000000000
χ71444-4-44-4-4-44-4400000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000002-2-22−2i2i2i−2i000000000000000000000000
χ72444-4-44-4-4-44-4400000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000-222-22i−2i−2i2i000000000000000000000000
χ7344-44-4-4-44000044-4-4-4-444-40000004-44-44-44000000000000000000000000000000000000000000000000000000000000
χ7444-44-4-4-44000044-4-4-4-44-44000000-4444-44-4000000000000000000000000000000000000000000000000000000000000
χ7544-44-4-4-440000-4-44400000004-44-400000000022-2-222-2-20000000000-2-222-2-22200000000000000000000000000000000
χ7644-44-4-4-440000-4-44400000004-44-4000000000-2-222-2-222000000000022-2-222-2-200000000000000000000000000000000
χ7744-44-4-4-440000-4-4440000000-44-4400000000022-2-2-2-2220000000000-2-22222-2-200000000000000000000000000000000
χ7844-44-4-4-440000-4-4440000000-44-44000000000-2-22222-2-2000000000022-2-2-2-22200000000000000000000000000000000
χ794-44-44-4-4400004-44-4-44-44-4000000-4444-4-44000000000000000000000000000000000000000000000000000000000000
χ804-44-44-4-4400004-44-4-44-4-440000004-44-444-4000000000000000000000000000000000000000000000000000000000000
χ814-44-44-4-440000-44-4400000004-4-440000000002-22-22-22-20000000000-22-22-22-2200000000000000000000000000000000
χ824-44-44-4-440000-44-4400000004-4-44000000000-22-22-22-2200000000002-22-22-22-200000000000000000000000000000000
χ834-44-44-4-440000-44-440000000-444-40000000002-22-2-22-220000000000-22-222-22-200000000000000000000000000000000
χ844-44-44-4-440000-44-440000000-444-4000000000-22-222-22-200000000002-22-2-22-2200000000000000000000000000000000
χ854-4-4-4-444444-4-4-444-400000-4400000000000002-2-222-2-220000000000-222-2-222-200000000000000000000000000000000
χ864-4-4-4-444444-4-4-444-400000-440000000000000-222-2-222-200000000002-2-222-2-2200000000000000000000000000000000
χ874-4-4-4-4444-4-444-444-4000004-400000000000002-2-22-222-20000000000-222-22-2-2200000000000000000000000000000000
χ884-4-4-4-4444-4-444-444-4000004-40000000000000-222-22-2-2200000000002-2-22-222-200000000000000000000000000000000
χ8988-8-88-88-800000000000000000000000000000000000000004-4-44000000000000000000000000000000000000000000
χ9088-8-88-88-80000000000000000000000000000000000000000-444-4000000000000000000000000000000000000000000
χ918-888-8-88-80000000000000000000000000000000000004-4-440000000000000000000000000000000000000000000000
χ928-888-8-88-8000000000000000000000000000000000000-444-40000000000000000000000000000000000000000000000
χ938-8-8888-8-88-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8888-8-8-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000

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