Finite Group Databasebeta

← Group #72314708

Character table — Group #72314708

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11222222244444488888888888888888888888161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222244444444222222224444444444444444444444444444444444444444444444444444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-11111-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ511111111111111111111111-1-1-1-111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111-1-1-1-111111111111-1-11111-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ711111111111111111111111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ811111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ91111111111111111111-1-1-1-11111111111-1-1-1-111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ101111111111111111111-1-1-1-11111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ111111111111111111111-1-1-1-11111111111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ121111111111111111111-1-1-1-11111111111-1-1-1-1111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ131111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ141111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1
χ151111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ161111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-111
χ1711-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-111-1-111-1111-11-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-11-11-11-11-1
χ1811-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-111-1-111-1111-1-11-1-11-1-1111-1-111-1-111-1-1-1-1-1-111111-1-1111-1-1-1-111-1-111-1-111-1-1111-11-1-11-11
χ1911-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-111-111-111-111-1-1-1-111-1-1111111-1-1-1-11-11-111-1-111-1-111-1-1-1-111-1-111-11-11-11-11
χ2011-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-11-1111-11-1111-1-1-1-111-1-111-1-1-1-111111-1-1111-1-1-1-111-1-11111-1-111-1-1-11-111-11-1
χ2111-1-1-1-1111-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-11-11111-11-1-1-11-11-111-1-111-1-111-1-1-1-1-1-11111-111-1-1-11111-1-1-1-111-1-111-1-111-11-111-11-1
χ2211-1-1-1-1111-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-11-11111-1-11-1-11-1-1111-1-111-1-111-1-11111-1-1-1-1-11-11-1-111-1-11111-1-111-1-111-1-1-11-11-11-11
χ2311-1-1-1-1111-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-11-11-1-1-111-111-111-111-1-1-1-111-1-111-1-1-1-11111-111-1-1-11111-1-1-1-11111-1-111-1-11-11-1-11-11
χ2411-1-1-1-1111-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-11-11-1-1-11-1111-11-1111-1-1-1-111-1-1111111-1-1-1-1-11-11-1-111-1-11111-1-1-1-111-1-1111-11-11-11-1
χ2511-1-1-1-1111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-111-111-1-1-1-111-1-1-11111-1-1-1-111-1-1-1-111111-11-1-1-111-1-11111-1-111-1-1-1-1111-1-11-111-1
χ2611-1-1-1-1111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-111-11-11-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-11-1-11-1-11111-1-1-1-111-1-11111-1-11-1-111-1-11
χ2711-1-1-1-1111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-11-11-1111-11-1-1-111-1-11111-1-1-1-1-1-111111-11-1-1-111-1-11111-1-1-1-11111-1-1-111-11-1-11
χ2811-1-1-1-1111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-11-1-11111-1-11-1-111-1-11111-1-11111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-111-111-1-111-1
χ2911-1-1-1-1111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1111-1111-111-1-1-1-111-1-1-11111-1-1-1-1111111-1-1-1-1-111-111-1-1-1-111-1-111-1-11111-1-1-111-1-111-1
χ3011-1-1-1-1111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1111-1111-11-11-1-1-11-11-1-11111-1-1-1-111-1-1-1-11111-11-1111-1-111-1-111-1-111-1-1-1-111-111-11-1-11
χ3111-1-1-1-1111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1111-11-1-11-11-1111-11-1-1-111-1-11111-1-11111-1-1-1-1-111-111-1-1-1-111-1-11111-1-1-1-1111-1-111-1-11
χ3211-1-1-1-1111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1111-11-1-11-1-11111-1-11-1-111-1-11111-1-1-1-1-1-11111-11-1111-1-111-1-111-1-1-1-11111-1-11-1-11-111-1
χ3322222222222222222-2-22-22-222222-2-2-2-2-22-22-2-2220000000000002-22-20000000000000000-2-2002-22-2000000000000000000000000
χ3422222222222222222-2-22-22-2-2-2-2-22-2-2-2-2-22-22-2-2-2-20000000000002-22-200000000000000002200-22-22000000000000000000000000
χ3522222222222222222-2-2-22-2222222-2-2-2-2-2-22-22-222000000000000-22-220000000000000000-2-200-22-22000000000000000000000000
χ3622222222222222222-2-2-22-22-2-2-2-22-2-2-2-2-2-22-22-2-2-2000000000000-22-22000000000000000022002-22-2000000000000000000000000
χ3722222222222-2-222-2-22-222220000-2-2222-22222-200000000000000-2-2-2-20000000022-2-222-2-20000000000002-22-20000000000000000
χ3822222222222-2-222-2-22-222220000-2-2222-22222-200000000000000-2-2-2-200000000-2-222-2-222000000000000-22-220000000000000000
χ3922222222222-2-222-2-22-2-2-2-2-20000-2-2222-2-2-2-2-2-20000000000000022220000000022-2-222-2-2000000000000-22-220000000000000000
χ4022222222222-2-222-2-22-2-2-2-2-20000-2-2222-2-2-2-2-2-200000000000000222200000000-2-222-2-2220000000000002-22-20000000000000000
χ4122222222222-2-222-2-2-222-22-20000-22-2-2-222-22-2200000022000022-22-22000000000000000000-2-200002-22-200000000000000000000
χ4222222222222-2-222-2-2-222-22-20000-22-2-2-222-22-22000000-2-20000-2-2-22-22000000000000000000220000-22-2200000000000000000000
χ4322222222222-2-222-2-2-22-22-220000-22-2-2-22-22-222000000220000222-22-2000000000000000000-2-20000-22-2200000000000000000000
χ4422222222222-2-222-2-2-22-22-220000-22-2-2-22-22-222000000-2-20000-2-22-22-20000000000000000002200002-22-200000000000000000000
χ45222222222-2-222-2-22-2-2-200000000-2-2-222200002002200002200000000-2-2-2-200002i−2i2i−2i2i−2i2i−2i000000000000000000002i−2i2i−2i00000000
χ46222222222-2-222-2-22-2-2-200000000-2-2-222200002002200002200000000-2-2-2-20000−2i2i−2i2i−2i2i−2i2i00000000000000000000−2i2i−2i2i00000000
χ47222222222-2-222-2-22-2-2-200000000-2-2-22220000200-2-20000-2-200000000222200002i−2i2i−2i2i−2i2i−2i00000000000000000000−2i2i−2i2i00000000
χ48222222222-2-222-2-22-2-2-200000000-2-2-22220000200-2-20000-2-20000000022220000−2i2i−2i2i−2i2i−2i2i000000000000000000002i−2i2i−2i00000000
χ49222222222-2-2-2-2-2-2-22-220000000022-222-20000-20000220000220000000000-2-2-2-22i−2i−2i2i2i−2i−2i2i00000000000000002i−2i2i−2i000000000000
χ50222222222-2-2-2-2-2-2-22-220000000022-222-20000-20000220000220000000000-2-2-2-2−2i2i2i−2i−2i2i2i−2i0000000000000000−2i2i−2i2i000000000000
χ51222222222-2-2-2-2-2-2-22-220000000022-222-20000-20000-2-20000-2-2000000000022222i−2i−2i2i2i−2i−2i2i0000000000000000−2i2i−2i2i000000000000
χ52222222222-2-2-2-2-2-2-22-220000000022-222-20000-20000-2-20000-2-200000000002222−2i2i2i−2i−2i2i2i−2i00000000000000002i−2i2i−2i000000000000
χ5322-2-2-2-22222222-2-2-222200000000-2-2-22-2-20000200220000-2-200000000-2-22200002i−2i2i−2i−2i2i−2i2i000000000000000000002i−2i−2i2i00000000
χ5422-2-2-2-22222222-2-2-222200000000-2-2-22-2-20000200220000-2-200000000-2-2220000−2i2i−2i2i2i−2i2i−2i00000000000000000000−2i2i2i−2i00000000
χ5522-2-2-2-22222222-2-2-222200000000-2-2-22-2-20000200-2-20000220000000022-2-200002i−2i2i−2i−2i2i−2i2i00000000000000000000−2i2i2i−2i00000000
χ5622-2-2-2-22222222-2-2-222200000000-2-2-22-2-20000200-2-20000220000000022-2-20000−2i2i−2i2i2i−2i2i−2i000000000000000000002i−2i−2i2i00000000
χ5722-2-2-2-222222-2-2-2-22-22-20000000022-22-220000-200002-200002-20000000000-2-2222i−2i−2i2i−2i2i2i−2i00000000000000002i−2i−2i2i000000000000
χ5822-2-2-2-222222-2-2-2-22-22-20000000022-22-220000-200002-200002-20000000000-2-222−2i2i2i−2i2i−2i−2i2i0000000000000000−2i2i2i−2i000000000000
χ5922-2-2-2-222222-2-2-2-22-22-20000000022-22-220000-20000-220000-22000000000022-2-22i−2i−2i2i−2i2i2i−2i0000000000000000−2i2i2i−2i000000000000
χ6022-2-2-2-222222-2-2-2-22-22-20000000022-22-220000-20000-220000-22000000000022-2-2−2i2i2i−2i2i−2i−2i2i00000000000000002i−2i−2i2i000000000000
χ6122-2-2-2-2222-2-22222-2-2222-2-2222-2-22-2-2-2222-2-22-22-20000000000002-2-220000000000000000-22002-2-22000000000000000000000000
χ6222-2-2-2-2222-2-22222-2-2222-2-22-2-2222-2-2-2222-2-22-2-220000000000002-2-2200000000000000002-200-222-2000000000000000000000000
χ6322-2-2-2-2222-2-22222-2-222-222-222-2-22-2-2-222-222-2-22-2000000000000-222-20000000000000000-2200-222-2000000000000000000000000
χ6422-2-2-2-2222-2-22222-2-222-222-2-2-2222-2-2-222-222-2-2-22000000000000-222-200000000000000002-2002-2-22000000000000000000000000
χ6522-2-2-2-2222-2-2-2-222222-22-2-220000-22-2-22-22-2-2220000002-200002-2-222-2000000000000000000-2200002-2-2200000000000000000000
χ6622-2-2-2-2222-2-2-2-222222-22-2-220000-22-2-22-22-2-222000000-220000-22-222-20000000000000000002-20000-222-200000000000000000000
χ6722-2-2-2-2222-2-2-2-222222-2-222-20000-22-2-22-2-222-220000002-200002-22-2-22000000000000000000-220000-222-200000000000000000000
χ6822-2-2-2-2222-2-2-2-222222-2-222-20000-22-2-22-2-222-22000000-220000-222-2-220000000000000000002-200002-2-2200000000000000000000
χ6922-2-2-2-2222-2-2-2-22222-2222-2-20000-2-222-2222-2-2-200000000000000-2-2220000000022-2-2-2-2220000000000002-2-220000000000000000
χ7022-2-2-2-2222-2-2-2-22222-2222-2-20000-2-222-2222-2-2-200000000000000-2-22200000000-2-22222-2-2000000000000-222-20000000000000000
χ7122-2-2-2-2222-2-2-2-22222-22-2-2220000-2-222-22-2-222-20000000000000022-2-20000000022-2-2-2-222000000000000-222-20000000000000000
χ7222-2-2-2-2222-2-2-2-22222-22-2-2220000-2-222-22-2-222-20000000000000022-2-200000000-2-22222-2-20000000000002-2-220000000000000000
χ73444444444-4-444-4-44-44400000000-444-4-4-40000-4000000000000000000000000000000000000000000000000000000000000000000
χ74444444444-4-4-4-4-4-4-444-4000000004-44-4-4400004000000000000000000000000000000000000000000000000000000000000000000
χ754444-4-4-4-444-4004-40000040400000000000-40-40002-22-2002-2-220000002-22-22-22-20000000000000000000000000000000000000000
χ764444-4-4-4-444-4004-40000040400000000000-40-4000-22-2200-222-2000000-22-22-22-220000000000000000000000000000000000000000
χ774444-4-4-4-444-4004-400000-40-4000000000004040002-2-22002-22-20000002-22-2-22-220000000000000000000000000000000000000000
χ784444-4-4-4-444-4004-400000-40-400000000000404000-222-200-22-22000000-22-222-22-20000000000000000000000000000000000000000
χ794444-4-4-4-44-4400-44000040400000000000-40-400002-2-22002-22-2000000-22-222-22-20000000000000000000000000000000000000000
χ804444-4-4-4-44-4400-44000040400000000000-40-40000-222-200-22-220000002-22-2-22-220000000000000000000000000000000000000000
χ814444-4-4-4-44-4400-440000-40-40000000000040400002-22-2002-2-22000000-22-22-22-220000000000000000000000000000000000000000
χ824444-4-4-4-44-4400-440000-40-4000000000004040000-22-2200-222-20000002-22-22-22-20000000000000000000000000000000000000000
χ8344-4-444-4-444-400-44000040-400000000000-40400002-2-2-200-2222000000-222-22-2-220000000000000000000000000000000000000000
χ8444-4-444-4-444-400-44000040-400000000000-4040000-2222002-2-2-20000002-2-22-222-20000000000000000000000000000000000000000
χ8544-4-444-4-444-400-440000-4040000000000040-400002-22200-22-2-2000000-222-2-222-20000000000000000000000000000000000000000
χ8644-4-444-4-444-400-440000-4040000000000040-40000-22-2-2002-2220000002-2-222-2-220000000000000000000000000000000000000000
χ8744-4-444-4-44-44004-40000040-400000000000-4040002-22200-22-2-20000002-2-222-2-220000000000000000000000000000000000000000
χ8844-4-444-4-44-44004-40000040-400000000000-404000-22-2-2002-222000000-222-2-222-20000000000000000000000000000000000000000
χ8944-4-444-4-44-44004-400000-4040000000000040-40002-2-2-200-22220000002-2-22-222-20000000000000000000000000000000000000000
χ9044-4-444-4-44-44004-400000-4040000000000040-4000-2222002-2-2-2000000-222-22-2-220000000000000000000000000000000000000000
χ9144-4-4-4-44444444-4-4-44-4-400000000-444-4440000-4000000000000000000000000000000000000000000000000000000000000000000
χ9244-4-4-4-444444-4-4-4-44-4-44000000004-44-44-400004000000000000000000000000000000000000000000000000000000000000000000
χ93888-88-88-8-800000000000000000000000000000000000440000-4-40000000000000000000000000000000000000000000000000000
χ94888-88-88-8-800000000000000000000000000000000000-4-40000440000000000000000000000000000000000000000000000000000
χ95888-8-88-88-800000000000000444400000000000-4-40000000000000000000000000000000000000000000000000000000000000000
χ96888-8-88-88-800000000000000-4-4-4-400000000000440000000000000000000000000000000000000000000000000000000000000000
χ9788-888-8-88-80000000000000044-4-400000000000-440000000000000000000000000000000000000000000000000000000000000000
χ9888-888-8-88-800000000000000-4-444000000000004-40000000000000000000000000000000000000000000000000000000000000000
χ9988-88-888-8-8000000000000000000000000000000000004-40000-440000000000000000000000000000000000000000000000000000
χ10088-88-888-8-800000000000000000000000000000000000-4400004-40000000000000000000000000000000000000000000000000000
χ10116-160000000008-80000000000008-800000000000000000000000000000000000000000000000000000000000000000000000000000
χ10216-160000000008-8000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000
χ10316-16000000000-8800000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10416-16000000000-880000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000

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