Finite Group Databasebeta

← Group #72262435

Character table — Group #72262435

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82
size1111222222222244444444444444444488888888888888888888161616161616161616161616323232323232323232323232323232323232
order1222222222222222222222222222222222224444444444444444222444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1111-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111-11111-1-111-11111-1-1-1-1
χ911111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-111-1-111-1-1
χ1011111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-111-1-11111-1-1-111-1-111
χ1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-11-1-111-1-111111-1-1-1-111
χ1211111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-11-1-11111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-111-1-1-1-1-1-1-111-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-1-1111111-111-1-111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-1111-1-1-1111-1-1-1-1111-1-11111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1111111-1-111-1-1111-1-1-1-111
χ172222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000002002-2-2000000200000000-200000000
χ182222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000-200-222000000-200000000200000000
χ192222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000002002-2-2000000-200000000200000000
χ202222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-200-222000000200000000-200000000
χ21222222222-2-2-2-22-2-222-2-20000000022-2-20000000000002222-2-2-2-2200-22-20000000002-20000000000000
χ22222222222-2-2-2-22-2-222-2-20000000022-2-20000000000002222-2-2-2-2-2002-22000000000-220000000000000
χ23222222222-2-2-2-22-2-222-2-20000000022-2-2000000000000-2-2-2-22222200-22-2000000000-220000000000000
χ24222222222-2-2-2-22-2-222-2-20000000022-2-2000000000000-2-2-2-22222-2002-220000000002-20000000000000
χ25222222222-2-2-2-22-2-2-2-22200000000-2-22200002222-2-2-2-200000000200-2-2200000002-2000000000000000
χ26222222222-2-2-2-22-2-2-2-22200000000-2-22200002222-2-2-2-200000000-20022-20000000-22000000000000000
χ27222222222-2-2-2-22-2-2-2-22200000000-2-2220000-2-2-2-2222200000000200-2-220000000-22000000000000000
χ28222222222-2-2-2-22-2-2-2-22200000000-2-2220000-2-2-2-2222200000000-20022-200000002-2000000000000000
χ29222222-2-2-222-2-2-22-2222-200000000-2-22-20000000000002i2i−2i−2i2i2i−2i−2i0020000002-2-200000000000000002i−2i
χ30222222-2-2-222-2-2-22-2222-200000000-2-22-20000000000002i2i−2i−2i2i2i−2i−2i00-2000000-2220000000000000000−2i2i
χ31222222-2-2-222-2-2-22-2222-200000000-2-22-2000000000000−2i−2i2i2i−2i−2i2i2i0020000002-2-20000000000000000−2i2i
χ32222222-2-2-222-2-2-22-2222-200000000-2-22-2000000000000−2i−2i2i2i−2i−2i2i2i00-2000000-22200000000000000002i−2i
χ33222222-2-2-2-2-222-2-2222-2200000000-2-2-220000000000002i2i−2i−2i−2i−2i2i2i0200002-2-20000000000000002i−2i0000
χ34222222-2-2-2-2-222-2-2222-2200000000-2-2-220000000000002i2i−2i−2i−2i−2i2i2i0-20000-222000000000000000−2i2i0000
χ35222222-2-2-2-2-222-2-2222-2200000000-2-2-22000000000000−2i−2i2i2i2i2i−2i−2i0200002-2-2000000000000000−2i2i0000
χ36222222-2-2-2-2-222-2-2222-2200000000-2-2-22000000000000−2i−2i2i2i2i2i−2i−2i0-20000-2220000000000000002i−2i0000
χ372222-2-222-222-2-2-2-222-222000000002-2-2-200002i2i−2i−2i2i2i−2i−2i00000000002000000-22-2000000000000002i−2i00
χ382222-2-222-222-2-2-2-222-222000000002-2-2-200002i2i−2i−2i2i2i−2i−2i0000000000-20000002-2200000000000000−2i2i00
χ392222-2-222-222-2-2-2-222-222000000002-2-2-20000−2i−2i2i2i−2i−2i2i2i00000000002000000-22-200000000000000−2i2i00
χ402222-2-222-222-2-2-2-222-222000000002-2-2-20000−2i−2i2i2i−2i−2i2i2i0000000000-20000002-22000000000000002i−2i00
χ412222-2-222-2-2-222-22-2-222200000000-22-2-200002i2i−2i−2i−2i−2i2i2i00000000020000-22-200000000000002i−2i000000
χ422222-2-222-2-2-222-22-2-222200000000-22-2-200002i2i−2i−2i−2i−2i2i2i000000000-200002-220000000000000−2i2i000000
χ432222-2-222-2-2-222-22-2-222200000000-22-2-20000−2i−2i2i2i2i2i−2i−2i00000000020000-22-20000000000000−2i2i000000
χ442222-2-222-2-2-222-22-2-222200000000-22-2-20000−2i−2i2i2i2i2i−2i−2i000000000-200002-2200000000000002i−2i000000
χ452222-2-2-2-2222222-2-22-22-22222-2-2-2-2-22-2222-2-20000000000000000002000000-2-2200000002-2000000000
χ462222-2-2-2-2222222-2-22-22-22222-2-2-2-2-22-2222-2-2000000000000000000-200000022-20000000-22000000000
χ472222-2-2-2-2222222-2-22-22-2-2-2-2-22222-22-22-2-2220000000000000000002000000-2-220000000-22000000000
χ482222-2-2-2-2222222-2-22-22-2-2-2-2-22222-22-22-2-222000000000000000000-200000022-200000002-2000000000
χ492222-2-2-2-2222222-2-2-22-222222-2-2-2-22-22-2-2-2220000000000000000020000-2-22000000002-200000000000
χ502222-2-2-2-2222222-2-2-22-222222-2-2-2-22-22-2-2-22200000000000000000-2000022-200000000-2200000000000
χ512222-2-2-2-2222222-2-2-22-22-2-2-2-222222-22-222-2-20000000000000000020000-2-2200000000-2200000000000
χ522222-2-2-2-2222222-2-2-22-22-2-2-2-222222-22-222-2-200000000000000000-2000022-2000000002-200000000000
χ53444444-4-4-444-4-4-44-4-4-4-440000000044-4400000000000000000000000000000000000000000000000000
χ54444444-4-4-4-4-444-4-44-4-44-400000000444-400000000000000000000000000000000000000000000000000
χ554444-4-444-444-4-4-4-44-44-4-400000000-444400000000000000000000000000000000000000000000000000
χ564444-4-444-4-4-444-44-44-4-4-4000000004-44400000000000000000000000000000000000000000000000000
χ574444-4-4-4-44-4-4-4-44444-4-4400000000-444-400000000000000000000000000000000000000000000000000
χ584444-4-4-4-44-4-4-4-4444-444-4000000004-4-4400000000000000000000000000000000000000000000000000
χ5944-4-4000044-44-4-4000000000044-4-4000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ6044-4-4000044-44-4-4000000000044-4-400000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ6144-4-4000044-44-4-40000000000-4-444000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ6244-4-4000044-44-4-40000000000-4-44400000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ6344-4-400004-44-44-400000044-4-40000000000002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ6444-4-400004-44-44-400000044-4-4000000000000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ6544-4-400004-44-44-4000000-4-4440000000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ6644-4-400004-44-44-4000000-4-444000000000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ6744-4-40000-44-4-444000000000000000000004-42-2-222-2-222-2-222-2-22000000000000000000000000000000
χ6844-4-40000-44-4-444000000000000000000004-4-222-2-222-2-222-2-222-2000000000000000000000000000000
χ6944-4-40000-44-4-44400000000000000000000-442-2-222-2-22-222-2-222-2000000000000000000000000000000
χ7044-4-40000-44-4-44400000000000000000000-44-222-2-222-22-2-222-2-22000000000000000000000000000000
χ7144-4-40000-4-444-440000000000000000004-4002-2-22-222-22-2-22-222-2000000000000000000000000000000
χ7244-4-40000-4-444-440000000000000000004-400-222-22-2-22-222-22-2-22000000000000000000000000000000
χ7344-4-40000-4-444-44000000000000000000-44002-2-22-222-2-222-22-2-22000000000000000000000000000000
χ7444-4-40000-4-444-44000000000000000000-4400-222-22-2-222-2-22-222-2000000000000000000000000000000
χ758-88-8008-80000000000004-44-44-44-4000000000000000000000000000000000000000000000000000000
χ768-88-8008-8000000000000-44-44-44-44000000000000000000000000000000000000000000000000000000
χ778-88-800-880000000000004-44-4-44-44000000000000000000000000000000000000000000000000000000
χ788-88-800-88000000000000-44-444-44-4000000000000000000000000000000000000000000000000000000
χ798-8-888-8000000000000004-4-444-4-44000000000000000000000000000000000000000000000000000000
χ808-8-888-800000000000000-444-4-444-4000000000000000000000000000000000000000000000000000000
χ818-8-88-88000000000000004-4-44-444-4000000000000000000000000000000000000000000000000000000
χ828-8-88-8800000000000000-444-44-4-44000000000000000000000000000000000000000000000000000000

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