Finite Group Databasebeta

← Group #72319694

Character table — Group #72319694

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size1122222222222222244444444448888888888888888888888888888888161616161616161616161616161616161616161616161616161616163232323232323232
order1222222224444444422224444442222224444444444444444444444444222224444444888888888888888844448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-111-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1
χ91111111111111111111111111-1-111111111-1-1-1-1-1-1-11111111111111111-1-1-11-1-11-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ101111111111111111111111111-1-111111111-1-1-1-1-1-1-11111111111111111-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-111-1-1111111111111-1-1-1-1-1-11111-1-1
χ121111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111111111-1-1-1-1111111-1-1-1-111
χ131111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ141111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-111-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ151111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ161111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-111-11-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1711111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111-11-1-11-1-1-11111-1-111-1-111-1-111-1-11-11-11-11-1
χ1811111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-1-1111-1-111-1-111-1-1-1-111-1-111-11-11-11-11
χ1911111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1111111-11-1-11-1-1-111-1-111-1-11111-1-111-1-1-11-11-11-11
χ2011111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-1111-1-1-1-111-1-111-1-111-1-1111-11-11-11-1
χ2111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-111-1-1-11111-1-1-1-111-1-111-1-1111-1-111-1-11
χ2211111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-111-1111-1-111-1-1-1-11111-1-111-1-1-111-1-111-1
χ2311111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-111-1-1-111-1-11111-1-1-1-111-1-111-111-1-111-1
χ2411111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-111-1111-1-1-1-11111-1-111-1-111-1-11-1-111-1-11
χ2511111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-11-111-1
χ2611111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11-1-11-1-11111-1-111-1-111-1-11111-1-1-111-11-1-11
χ2711111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-111-1-1-1-111-111-11-1-11
χ2811111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-11-1-1111111-1-111-1-1-1-11111-1-11-1-11-111-1
χ2911111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1-1-1-1-1111111-111-111-1-1-1-1-1-11111-1-1-1-11111-1-11-11-1-11-11
χ3011111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-11-111-11-1
χ3111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-111111111-1-1-1-111-111-111-1-1-1-111-1-1-1-111-1-11111-1-1-11-111-11-1
χ3211111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-11-1-11-11
χ33222-2-2-2-22222-2-2-2-22222-2-222-2-22222-2-222-2-22-2-222-2-200000000000000002-2200-2000000000000000000000000000000
χ34222-2-2-2-22222-2-2-2-22222-2-222-2-222-2-222-2-2222-2-222-2-20000000000000000-22-2002000000000000000000000000000000
χ35222-2-2-2-22222-2-2-2-22222-2-222-2-2-2-222-2-222-2-2-222-2-2220000000000000000-22-2002000000000000000000000000000000
χ36222-2-2-2-22222-2-2-2-22222-2-222-2-2-2-2-2-222-2-222-222-2-22200000000000000002-2200-2000000000000000000000000000000
χ37222-2-2-2-22222-2-2-2-222-2-222-2-2222222-2-2-2-2222-2-2-2-22200000000000000002-2-2002000000000000000000000000000000
χ38222-2-2-2-22222-2-2-2-222-2-222-2-22222-2-22222-2-22-2-2-2-2220000000000000000-22200-2000000000000000000000000000000
χ39222-2-2-2-22222-2-2-2-222-2-222-2-222-2-222-2-2-2-222-22222-2-20000000000000000-22200-2000000000000000000000000000000
χ40222-2-2-2-22222-2-2-2-222-2-222-2-222-2-2-2-22222-2-2-22222-2-200000000000000002-2-2002000000000000000000000000000000
χ4122-222-2-22-22222-2-2-2-22-22-22-22-22200000000-22-22-22-2000000002i2i−2i−2i2i2i−2i−2i00000000000000002i−2i2i−2i0000000000000000
χ4222-222-2-22-22222-2-2-2-22-22-22-22-22200000000-22-22-22-200000000−2i−2i2i2i−2i−2i2i2i0000000000000000−2i2i−2i2i0000000000000000
χ4322-222-2-22-22222-2-2-2-22-22-22-22-2-2-2000000002-22-22-22000000002i2i−2i−2i2i2i−2i−2i0000000000000000−2i2i−2i2i0000000000000000
χ4422-222-2-22-22222-2-2-2-22-22-22-22-2-2-2000000002-22-22-2200000000−2i−2i2i2i−2i−2i2i2i00000000000000002i−2i2i−2i0000000000000000
χ4522-222-2-22-22222-2-2-2-2-22-22-22-222200000000-22-2-22-22000000002i2i−2i−2i−2i−2i2i2i00000000000000002i−2i−2i2i0000000000000000
χ4622-222-2-22-22222-2-2-2-2-22-22-22-222200000000-22-2-22-2200000000−2i−2i2i2i2i2i−2i−2i0000000000000000−2i2i2i−2i0000000000000000
χ4722-222-2-22-22222-2-2-2-2-22-22-22-22-2-2000000002-222-22-2000000002i2i−2i−2i−2i−2i2i2i0000000000000000−2i2i2i−2i0000000000000000
χ4822-222-2-22-22222-2-2-2-2-22-22-22-22-2-2000000002-222-22-200000000−2i−2i2i2i2i2i−2i−2i00000000000000002i−2i−2i2i0000000000000000
χ4922-222-2-22-2-2-2-2-222222-2-22-222-2002-22-22-22-2000000000000000000000000000200-2002-20000000000002-22-200000000
χ5022-222-2-22-2-2-2-2-222222-2-22-222-2002-22-22-22-2000000000000000000000000000-200200-22000000000000-22-2200000000
χ5122-222-2-22-2-2-2-2-222222-2-22-222-200-22-22-22-22000000000000000000000000000200-2002-2000000000000-22-2200000000
χ5222-222-2-22-2-2-2-2-222222-2-22-222-200-22-22-22-22000000000000000000000000000-200200-220000000000002-22-200000000
χ5322-222-2-22-2-2-2-2-22222-222-22-2-22002-22-2-22-22000000000000000000000000000200-200-22000000000000-222-200000000
χ5422-222-2-22-2-2-2-2-22222-222-22-2-22002-22-2-22-22000000000000000000000000000-2002002-20000000000002-2-2200000000
χ5522-222-2-22-2-2-2-2-22222-222-22-2-2200-22-222-22-2000000000000000000000000000200-200-220000000000002-2-2200000000
χ5622-222-2-22-2-2-2-2-22222-222-22-2-2200-22-222-22-2000000000000000000000000000-2002002-2000000000000-222-200000000
χ5722-2-2-2222-222-2-222-2-22-2-222-2-222200000000-2-222-2-222i2i−2i−2i2i2i−2i−2i000000000000000000002i−2i2i−2i00000000000000000000
χ5822-2-2-2222-222-2-222-2-22-2-222-2-222200000000-2-222-2-22−2i−2i2i2i−2i−2i2i2i00000000000000000000−2i2i−2i2i00000000000000000000
χ5922-2-2-2222-222-2-222-2-22-2-222-2-22-2-20000000022-2-222-22i2i−2i−2i2i2i−2i−2i00000000000000000000−2i2i−2i2i00000000000000000000
χ6022-2-2-2222-222-2-222-2-22-2-222-2-22-2-20000000022-2-222-2−2i−2i2i2i−2i−2i2i2i000000000000000000002i−2i2i−2i00000000000000000000
χ6122-2-2-2222-222-2-222-2-2-222-2-222-22200000000-2-22-222-22i2i−2i−2i−2i−2i2i2i000000000000000000002i−2i−2i2i00000000000000000000
χ6222-2-2-2222-222-2-222-2-2-222-2-222-22200000000-2-22-222-2−2i−2i2i2i2i2i−2i−2i00000000000000000000−2i2i2i−2i00000000000000000000
χ6322-2-2-2222-222-2-222-2-2-222-2-222-2-2-20000000022-22-2-222i2i−2i−2i−2i−2i2i2i00000000000000000000−2i2i2i−2i00000000000000000000
χ6422-2-2-2222-222-2-222-2-2-222-2-222-2-2-20000000022-22-2-22−2i−2i2i2i2i2i−2i−2i000000000000000000002i−2i−2i2i00000000000000000000
χ6522-2-2-2222-2-2-222-2-2222-22-2-22-22002-2-222-2-2200000000000000000000000000200-202-200000000002-22-2000000000000
χ6622-2-2-2222-2-2-222-2-2222-22-2-22-22002-2-222-2-2200000000000000000000000000-20020-220000000000-22-22000000000000
χ6722-2-2-2222-2-2-222-2-2222-22-2-22-2200-222-2-222-200000000000000000000000000200-202-20000000000-22-22000000000000
χ6822-2-2-2222-2-2-222-2-2222-22-2-22-2200-222-2-222-200000000000000000000000000-20020-2200000000002-22-2000000000000
χ6922-2-2-2222-2-2-222-2-222-22-222-22-2002-2-22-222-200000000000000000000000000200-20-2200000000002-2-22000000000000
χ7022-2-2-2222-2-2-222-2-222-22-222-22-2002-2-22-222-200000000000000000000000000-200202-20000000000-222-2000000000000
χ7122-2-2-2222-2-2-222-2-222-22-222-22-200-222-22-2-2200000000000000000000000000200-20-220000000000-222-2000000000000
χ7222-2-2-2222-2-2-222-2-222-22-222-22-200-222-22-2-2200000000000000000000000000-200202-200000000002-2-22000000000000
χ73444444444-4-4-4-4-4-4-4-444-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ74444444444-4-4-4-4-4-4-4-4-4-44444-4-4000000000000000000000000000000000000000000000000000000000000000000000
χ754444-44-4-4-44-44-44-44-400000000000000000000000000000000000004i−4i4i−4i000000000000000000000000000000000000
χ764444-44-4-4-44-44-44-44-40000000000000000000000000000000000000−4i4i−4i4i000000000000000000000000000000000000
χ774444-44-4-4-4-44-44-44-4400000000000000000000000004i−4i4i−4i000000000000000000000000000000000000000000000000
χ784444-44-4-4-4-44-44-44-440000000000000000000000000−4i4i−4i4i000000000000000000000000000000000000000000000000
χ79444-44-44-4-44-4-44-444-40000000000000000000000000000000004i−4i4i−4i0000000000000000000000000000000000000000
χ80444-44-44-4-44-4-44-444-4000000000000000000000000000000000−4i4i−4i4i0000000000000000000000000000000000000000
χ81444-44-44-4-4-444-44-4-44000000000000000000000000000004i−4i4i−4i00000000000000000000000000000000000000000000
χ82444-44-44-4-4-444-44-4-4400000000000000000000000000000−4i4i−4i4i00000000000000000000000000000000000000000000
χ83444-4-4-4-444-4-44444-4-44444-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000
χ84444-4-4-4-444-4-44444-4-4-4-4-4-44444000000000000000000000000000000000000000000000000000000000000000000000
χ8544-44-4-44-444-44-4-44-4400000000000000000000000000000000000004-4-44000000000000000000000000000000000000
χ8644-44-4-44-444-44-4-44-440000000000000000000000000000000000000-444-4000000000000000000000000000000000000
χ8744-44-4-44-44-44-444-44-4000000000000000000000000000004-4-4400000000000000000000000000000000000000000000
χ8844-44-4-44-44-44-444-44-400000000000000000000000000000-444-400000000000000000000000000000000000000000000
χ8944-4-444-4-444-4-444-4-440000000000000000000000000000000004-4-440000000000000000000000000000000000000000
χ9044-4-444-4-444-4-444-4-44000000000000000000000000000000000-444-40000000000000000000000000000000000000000
χ9144-4-444-4-44-444-4-444-400000000000000000000000004-4-44000000000000000000000000000000000000000000000000
χ9244-4-444-4-44-444-4-444-40000000000000000000000000-444-4000000000000000000000000000000000000000000000000
χ9316-16000000000000000000000008-80000000000000000000000000000000000000000000000000000000000000000000
χ9416-1600000000000000000000000-880000000000000000000000000000000000000000000000000000000000000000000

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