Finite Group Databasebeta

← Group #72312643

Character table — Group #72312643

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11222222244444444444444888888888888888888888888888161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232326464646464646464
order12222222222222222224444222222222222222222244444444222444444444442444444444444444888888888888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11-1-11-11111-1-1-1-111-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ101111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11-1-11-11111-1-1-1-111-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11-1-11-11111-1-1-1-1-1-11111-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ121111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11-1-11-11111-1-1-1-1-1-11111-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ131111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1-11-1-1-1-1111111-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ141111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1-11-1-1-1-1111111-1-1-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ151111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1-11-1-1-1-11111-1-11111-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ161111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1-11-1-1-1-11111-1-11111-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ171111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1111111-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-11-11-1
χ181111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1111111-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-11-11-11-11
χ191111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1111111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-111-1-1-11-11-11-11
χ201111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1111111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-1111-11-11-11-1
χ211111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-111-111-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1111-11-1-11-11
χ221111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-111-111-1-111-1-1111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-11-111-11-1
χ231111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-111-111-1-111-1-111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111-11-111-11-1
χ241111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-111-111-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-111-1-11-11-1-11-11
χ251111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1111-1-1-1-11111-1-111-1-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ261111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1111-1-1-1-11111-1-111-1-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ271111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1111-1-1-1-111-1-111-1-111-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ281111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1111-1-1-1-111-1-111-1-111-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ291111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-111-1-1-11111-1-111-1-111-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ301111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-111-1-1-11111-1-111-1-111-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ311111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-111-1-1-11111-1-1-1-111-1-11111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ321111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-111-1-1-11111-1-1-1-111-1-11111-1-1-1-111−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ3322222222222-2-22222-2-222222-2-222-2-2-2-2-2-2-2-20000-2-222000022-200200000000000000000000000000000000002-22-22-22-200000000
χ3422222222222-2-22222-2-222222-2-222-2-2-2-2-2-2-2-20000-2-222000022-20020000000000000000000000000000000000-22-22-22-2200000000
χ3522222222222-2-22222-2-2-2-2-2-22-2-222-2-2-2-22222000022-2-20000-2-2200-200000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000
χ3622222222222-2-22222-2-2-2-2-2-22-2-222-2-2-2-22222000022-2-20000-2-2200-20000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000
χ3722222222222-2-2-2-2-2-2-2-222222-2-2-2-22222-2-2220000-2-2-2-2000022200-200000000000000000000000000000000002-2-222-2-2200000000
χ3822222222222-2-2-2-2-2-2-2-222222-2-2-2-22222-2-2220000-2-2-2-2000022200-20000000000000000000000000000000000-222-2-222-200000000
χ3922222222222-2-2-2-2-2-2-2-2-2-2-2-22-2-2-2-2222222-2-2000022220000-2-2-200200000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ4022222222222-2-2-2-2-2-2-2-2-2-2-2-22-2-2-2-2222222-2-2000022220000-2-2-20020000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ41222222222-2-22222-2-2222222-2-2-22-222-2-222222222-2-2222222-2-2-222-222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ42222222222-2-22222-2-2222222-2-2-22-222-2-22222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ43222222222-2-22222-2-222-2-2-2-2-2-2-22-222-2-2-2-2-2-222-2-222-2-222-2-22222-222-2-2-2-2-222220000000000000000000000000000000000000000
χ44222222222-2-22222-2-222-2-2-2-2-2-2-22-222-2-2-2-2-2-2-2-22222-2-2-2-222222-222-222222-2-2-2-20000000000000000000000000000000000000000
χ45222222222-2-222-2-222222222-2-2-2-22-2-22222-2-22222-2-2-2-22222-2-22-2-22-2-2-2-222-2-2220000000000000000000000000000000000000000
χ46222222222-2-222-2-222222222-2-2-2-22-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-222-2-20000000000000000000000000000000000000000
χ47222222222-2-222-2-22222-2-2-2-2-2-2-2-22-2-222-2-22222-2-2222222-2-222-2-22-2-22-2-22222-2-20000000000000000000000000000000000000000
χ48222222222-2-222-2-22222-2-2-2-2-2-2-2-22-2-222-2-222-2-2222222-2-22222-22-2-22-222-2-2-2-2220000000000000000000000000000000000000000
χ49222222222-2-2-2-222-2-2-2-22222-2222-2-2-222-2-2-2-2000022220000-2-2200-2000000000000000000000000002-22-22-22-20000000000000000
χ50222222222-2-2-2-222-2-2-2-22222-2222-2-2-222-2-2-2-2000022220000-2-2200-200000000000000000000000000-22-22-22-220000000000000000
χ51222222222-2-2-2-222-2-2-2-2-2-2-2-2-2222-2-2-22222220000-2-2-2-2000022-2002000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ52222222222-2-2-2-222-2-2-2-2-2-2-2-2-2222-2-2-22222220000-2-2-2-2000022-200200000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ53222222222-2-2-2-2-2-222-2-22222-222-2222-2-2-2-222000022-2-20000-2-2-2002000000000000000000000000002-2-222-2-220000000000000000
χ54222222222-2-2-2-2-2-222-2-22222-222-2222-2-2-2-222000022-2-20000-2-2-200200000000000000000000000000-222-2-222-20000000000000000
χ55222222222-2-2-2-2-2-222-2-2-2-2-2-2-222-2222-2-222-2-20000-2-222000022200-2000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ56222222222-2-2-2-2-2-222-2-2-2-2-2-2-222-2222-2-222-2-20000-2-222000022200-200000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ5722-2-2-2-222222-2-200002222-2-2-22-20000002-2002-22-22-2002-22-22-20000002-2002-2002-22-200002-2002-200000000000000000000000000
χ5822-2-2-2-222222-2-200002222-2-2-22-20000002-2002-22-22-2002-22-22-20000002-2002-200-22-220000-2200-2200000000000000000000000000
χ5922-2-2-2-222222-2-200002222-2-2-22-20000002-200-22-222-200-22-222-2000000-2200-22002-22-20000-2200-2200000000000000000000000000
χ6022-2-2-2-222222-2-200002222-2-2-22-20000002-200-22-222-200-22-222-2000000-2200-2200-22-2200002-2002-200000000000000000000000000
χ6122-2-2-2-222222-2-2000022-2-222-22-2000000-22002-2-22-22002-2-22-220000002-200-22002-2-2200002-200-2200000000000000000000000000
χ6222-2-2-2-222222-2-2000022-2-222-22-2000000-22002-2-22-22002-2-22-220000002-200-2200-222-20000-22002-200000000000000000000000000
χ6322-2-2-2-222222-2-2000022-2-222-22-2000000-2200-222-2-2200-222-2-22000000-22002-2002-2-220000-22002-200000000000000000000000000
χ6422-2-2-2-222222-2-2000022-2-222-22-2000000-2200-222-2-2200-222-2-22000000-22002-200-222-200002-200-2200000000000000000000000000
χ6522-2-2-2-2222-2-2-2-200002222-2-22-220000002-2002-22-2-22002-22-2-22000000-2200-220000002-22-2002-2002-2000000000000000000000000
χ6622-2-2-2-2222-2-2-2-200002222-2-22-220000002-2002-22-2-22002-22-2-22000000-2200-22000000-22-2200-2200-22000000000000000000000000
χ6722-2-2-2-2222-2-2-2-200002222-2-22-220000002-200-22-22-2200-22-22-220000002-2002-20000002-22-200-2200-22000000000000000000000000
χ6822-2-2-2-2222-2-2-2-200002222-2-22-220000002-200-22-22-2200-22-22-220000002-2002-2000000-22-22002-2002-2000000000000000000000000
χ6922-2-2-2-2222-2-2-2-2000022-2-2222-22000000-22002-2-222-2002-2-222-2000000-22002-20000002-2-2200-22002-2000000000000000000000000
χ7022-2-2-2-2222-2-2-2-2000022-2-2222-22000000-22002-2-222-2002-2-222-2000000-22002-2000000-222-2002-200-22000000000000000000000000
χ7122-2-2-2-2222-2-2-2-2000022-2-2222-22000000-2200-222-22-200-222-22-20000002-200-220000002-2-22002-200-22000000000000000000000000
χ7222-2-2-2-2222-2-2-2-2000022-2-2222-22000000-2200-222-22-200-222-22-20000002-200-22000000-222-200-22002-2000000000000000000000000
χ734444-4-4-4-44004-400444-400000000-4004-40000004-4000000-44000000000000004-40000000000000000000000000000000000000000
χ744444-4-4-4-44004-400444-400000000-4004-4000000-440000004-400000000000000-440000000000000000000000000000000000000000
χ754444-4-4-4-44004-400-4-44-400000000400-440000004-4000000-4400000000000000-440000000000000000000000000000000000000000
χ764444-4-4-4-44004-400-4-44-400000000400-44000000-440000004-4000000000000004-40000000000000000000000000000000000000000
χ774444-4-4-4-4400-440044-4400000000-400-4400004-4000000-440000000000004-400000000000000000000000000000000000000000000
χ784444-4-4-4-4400-440044-4400000000-400-440000-440000004-4000000000000-4400000000000000000000000000000000000000000000
χ794444-4-4-4-4400-4400-4-4-44000000004004-400004-4000000-44000000000000-4400000000000000000000000000000000000000000000
χ804444-4-4-4-4400-4400-4-4-44000000004004-40000-440000004-40000000000004-400000000000000000000000000000000000000000000
χ8144-4-444-4-44004-44400-440000000-404-400000044000000-4-400000400-40000000000000000000000000000000000000000000000000
χ8244-4-444-4-44004-44400-440000000-404-4000000-4-40000004400000-40040000000000000000000000000000000000000000000000000
χ8344-4-444-4-44004-4-4-400-44000000040-4400000044000000-4-400000-40040000000000000000000000000000000000000000000000000
χ8444-4-444-4-44004-4-4-400-44000000040-44000000-4-40000004400000400-40000000000000000000000000000000000000000000000000
χ8544-4-444-4-4400-4444004-40000000-40-440000000044000000-4-40000400-4000000000000000000000000000000000000000000000000
χ8644-4-444-4-4400-4444004-40000000-40-4400000000-4-4000000440000-4004000000000000000000000000000000000000000000000000
χ8744-4-444-4-4400-44-4-4004-40000000404-40000000044000000-4-40000-4004000000000000000000000000000000000000000000000000
χ8844-4-444-4-4400-44-4-4004-40000000404-400000000-4-4000000440000400-4000000000000000000000000000000000000000000000000
χ8944-4-4-4-444444440000-4-444-4-4-4-44000000-44000000-440000004-4000000000000000000000000000000000000000000000000000000
χ9044-4-4-4-444444440000-4-4-4-444-4-440000004-40000004-4000000-44000000000000000000000000000000000000000000000000000000
χ9144-4-4-4-4444-4-4440000-4-444-4-444-4000000-440000004-4000000-44000000000000000000000000000000000000000000000000000000
χ9244-4-4-4-4444-4-4440000-4-4-4-44444-40000004-4000000-440000004-4000000000000000000000000000000000000000000000000000000
χ93888-88-88-8-80000000000000000000000000000000008-8000000000000000000000000000000000000000000000000000000000000
χ94888-88-88-8-8000000000000000000000000000000000-88000000000000000000000000000000000000000000000000000000000000
χ95888-8-88-88-800000000008-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ96888-8-88-88-80000000000-88-88000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9788-888-8-88-800000000008-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-888-8-88-80000000000-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-88-888-8-800000000000000000000000008-800000000000000000000000000000000000000000000000000000000000000000000
χ10088-88-888-8-80000000000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000000
χ10116-1600000008-8008-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10216-1600000008-800-88-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10316-160000000-88008-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10416-160000000-8800-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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