Finite Group Databasebeta

← Group #72262401

Character table — Group #72262401

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size112222222444444444444448881616161616161616161616161616161616161616161616161616161616163232323232323232323232323232
order1222222222222222222444424422222444444444444444448888888844444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-11-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ51111111111111111111111111111-11-1-11-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1
χ61111111111111111111111111111-11-1-11-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11-11-1-1-1-1-11111
χ71111111111111111111111111111-1-11-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111
χ81111111111111111111111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-11-111111-1-1-1-1
χ91111111111111-1-111111111-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ101111111111111-1-111111111-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ111111111111111-1-111111111-1-1-1-1-11-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111
χ121111111111111-1-111111111-1-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-111-1-1
χ131111111111111-1-111111111-1-1-1-1-1-11-1-11-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-11-1111-1-1-1-111
χ141111111111111-1-111111111-1-1-1-1-1-11-1-11-1-1-111-1-1-1-1-1-111111111-1-1-1-111-11-11-1-11111-1-1
χ151111111111111-1-111111111-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111111-11-1-1-11111-1-1
χ161111111111111-1-111111111-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-111111111-1-1-1-1111-11-111-1-1-1-111
χ1722222222222-2-22222-2-2-2-2-2-22-2-22-20020020000-2-2000000000000000000020-200000000
χ1822222222222-2-22222-2-2-2-2-2-22-2-22-200-200-20000220000000000000000000-20200000000
χ1922222222222-2-2-2-222-2-2-2-2-2-2-222-220020020000-2-20000000000000000000-20200000000
χ2022222222222-2-2-2-222-2-2-2-2-2-2-222-2200-200-2000022000000000000000000020-200000000
χ21222222222-2-22222-2-222-2-2-2-22-2-2-2202002000-2-20000000000000000000020-2000000000
χ22222222222-2-22222-2-222-2-2-2-22-2-2-220-200-20002200000000000000000000-202000000000
χ23222222222-2-222-2-2-2-222-2-2-2-2-2222-202002000-2-200000000000000000000-202000000000
χ24222222222-2-222-2-2-2-222-2-2-2-2-2222-20-200-2000220000000000000000000020-2000000000
χ25222222222-2-2-2-222-2-2-2-22222222-2-2200200-2-2000000000000000000002-2000000000000
χ26222222222-2-2-2-222-2-2-2-22222222-2-2-200-2002200000000000000000000-22000000000000
χ27222222222-2-2-2-2-2-2-2-2-2-22222-2-2-222200200-2-200000000000000000000-22000000000000
χ28222222222-2-2-2-2-2-2-2-2-2-22222-2-2-222-200-20022000000000000000000002-2000000000000
χ292222-2-22-2-22-22-2002-22-222-2-200000200-2002-2000000002i2i−2i−2i00002i2i−2i−2i00000000000000
χ302222-2-22-2-22-22-2002-22-222-2-200000200-2002-200000000−2i−2i2i2i0000−2i−2i2i2i00000000000000
χ312222-2-22-2-22-22-2002-22-222-2-200000-200200-22000000002i2i−2i−2i0000−2i−2i2i2i00000000000000
χ322222-2-22-2-22-22-2002-22-222-2-200000-200200-2200000000−2i−2i2i2i00002i2i−2i−2i00000000000000
χ332222-2-22-2-2-22-2200-22-2222-2-200000200-200-2200002i2i−2i−2i00002i2i−2i−2i000000000000000000
χ342222-2-22-2-2-22-2200-22-2222-2-200000200-200-220000−2i−2i2i2i0000−2i−2i2i2i000000000000000000
χ352222-2-22-2-2-22-2200-22-2222-2-200000-2002002-200002i2i−2i−2i0000−2i−2i2i2i000000000000000000
χ362222-2-22-2-2-22-2200-22-2222-2-200000-2002002-20000−2i−2i2i2i00002i2i−2i−2i000000000000000000
χ3722-2-22-222-2222-200-2-2-222-22-2000000200-20002-200000000002i−2i2i−2i000000000000002i−2i00
χ3822-2-22-222-2222-200-2-2-222-22-2000000200-20002-20000000000−2i2i−2i2i00000000000000−2i2i00
χ3922-2-22-222-2222-200-2-2-222-22-2000000-2002000-2200000000002i−2i2i−2i00000000000000−2i2i00
χ4022-2-22-222-2222-200-2-2-222-22-2000000-2002000-220000000000−2i2i−2i2i000000000000002i−2i00
χ4122-2-22-222-2-2-22-20022-22-22-22000000200-2000-22000000000000002-22-20000000000002-2
χ4222-2-22-222-2-2-22-20022-22-22-22000000200-2000-2200000000000000-22-22000000000000-22
χ4322-2-22-222-2-2-22-20022-22-22-22000000-20020002-2000000000000002-22-2000000000000-22
χ4422-2-22-222-2-2-22-20022-22-22-22000000-20020002-200000000000000-22-220000000000002-2
χ4522-2-2-222-22-2222002-2-2-2-222-20000000200-200002-20000000000002i−2i−2i2i000000002i−2i0000
χ4622-2-2-222-22-2222002-2-2-2-222-20000000200-200002-2000000000000−2i2i2i−2i00000000−2i2i0000
χ4722-2-2-222-22-2222002-2-2-2-222-20000000-20020000-220000000000002i−2i−2i2i00000000−2i2i0000
χ4822-2-2-222-22-2222002-2-2-2-222-20000000-20020000-22000000000000−2i2i2i−2i000000002i−2i0000
χ4922-2-2-222-22-22-2-2002-2222-2-220000000200-20000-22000000002-2-2200000000002-2000000
χ5022-2-2-222-22-22-2-2002-2222-2-220000000200-20000-2200000000-222-20000000000-22000000
χ5122-2-2-222-22-22-2-2002-2222-2-220000000-200200002-2000000002-2-220000000000-22000000
χ5222-2-2-222-22-22-2-2002-2222-2-220000000-200200002-200000000-222-200000000002-2000000
χ534444-4-44-4-44-4-44004-4-44-4-44400000000000000000000000000000000000000000000000
χ544444-4-44-4-4-444-400-444-4-4-44400000000000000000000000000000000000000000000000
χ55444-444-4-4-400004400000000-400000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ56444-444-4-4-400004400000000-40000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ57444-444-4-4-40000-4-400000000400000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ58444-444-4-4-40000-4-40000000040000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ59444-4-4-4-4440000000000000004-4000000000000002-2-222-2-220000000000000000000000
χ60444-4-4-4-4440000000000000004-400000000000000-222-2-222-20000000000000000000000
χ61444-4-4-4-444000000000000000-44000000000000002-2-22-222-20000000000000000000000
χ62444-4-4-4-444000000000000000-4400000000000000-222-22-2-220000000000000000000000
χ6344-4-44-444-444-4400-4-44-4-44-4400000000000000000000000000000000000000000000000
χ6444-4-44-444-4-4-4-4400444-44-44-400000000000000000000000000000000000000000000000
χ6544-4-4-444-444-44400-44-4-44-4-4400000000000000000000000000000000000000000000000
χ6644-4-4-444-444-4-4-400-4444-444-400000000000000000000000000000000000000000000000
χ6788-888-8-8-880000000000000000000000000000000000000000000000000000000000000
χ6888-88-88-88-80000000000000000000000000000000000000000000000000000000000000
χ6916-16000000000008-80000000000000000000000000000000000000000000000000000000
χ7016-1600000000000-880000000000000000000000000000000000000000000000000000000

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