Finite Group Databasebeta

← Group #72311322

Character table — Group #72311322

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size1111222222222222224444444444444444444444448888888888888888888888888888161616161616161616161616161616161616161616161616161616161616323232323232
order1222222222222244442244444444444444444444442222222222444444444444448888224444444444444444448888888888444488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-111-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1
χ411111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111
χ611111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-11-1-1111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ711111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1
χ811111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-11-1-1-1-1-11111-1-11111-1-1-1-1-1-11111
χ9111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11-111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ11111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-111-1111111111-1-111111111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-1111111-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-11-11111-1-1-1-1-1-11111111111-1-1-1-1
χ1711111-1-1-1-111111-1-111-1-11-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11-111-1-111-1-111-1-11-111111-1-1-111-1-1111-111-1-111-1-1-1-111-1-111-1-11-11-11-1
χ1811111-1-1-1-111111-1-111-1-11-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11-111-1-111-1-111-1-11-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-111-1-111-1-111-11-11-11
χ1911111-1-1-1-111111-1-111-1-11-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1111-1-1-1-11111-1-1-111111-111111-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-111-1-11
χ2011111-1-1-1-111111-1-111-1-11-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1111-1-1-1-11111-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-1111-1-111-1
χ2111111-1-1-1-111111-1-111-1-11-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111-111-1-111-1-1-1-1111-11111-1111-1-111-1-1-1111-1-1-1-111-1-111-1-111-1-1-11-111-1
χ2211111-1-1-1-111111-1-111-1-11-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111-111-1-111-1-1-1-1111-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-111-1-1111-11-1-11
χ2311111-1-1-1-111111-1-111-1-11-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1111-1-1-1-111-1-111-1111111-1-1-1-1-111111-1-1-11111-1-1-1-1-1-11111-1-11-1-11-11
χ2411111-1-1-1-111111-1-111-1-11-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1111-1-1-1-111-1-111-11-1-1-1-111-1-111-1-1-1-111-1-11111-1-11111-1-1-1-111-111-11-1
χ2511111-1-1-1-111111-1-111-1-11-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111-1-1-11111-1-111-1-11-111111-1-1-111-1-1111-1-1-111-1-111-1-111-1-1-1-111-11-11-11
χ2611111-1-1-1-111111-1-111-1-11-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111-1-1-11111-1-111-1-11-1-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-11111-1-11-11-11-1
χ2711111-1-1-1-111111-1-111-1-11-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-11-1-111-1-11111-1-1-111111-111111-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-1111-1-111-1
χ2811111-1-1-1-111111-1-111-1-11-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-11-1-111-1-11111-1-1-11-1-1-1-1-1-111-1-11111-1-111-1-111-1-11111-1-111-1-1-111-1-11
χ2911111-1-1-1-111111-1-111-1-11-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11-1-1-11111-1-1-1-1111-11111-1111-1-111-1-1-11-1-11111-1-1-1-111-1-1-1-1111-11-1-11
χ3011111-1-1-1-111111-1-111-1-11-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11-1-1-11111-1-1-1-1111-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-11111-1-1-11-111-1
χ3111111-1-1-1-111111-1-111-1-11-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-11-1-111-1-111-1-111-1111111-1-1-1-1-111111-111-1-1-1-111-1-1-1-111-1-111-111-11-1
χ3211111-1-1-1-111111-1-111-1-11-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-11-1-111-1-111-1-111-11-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-11-1-11-11
χ3322222222222222-2-2-2-222-2-2-2-22222222200000000-2-2000000002-2-2-2-2-2-2-22200002-200000000000000002-22-200000000000000000000
χ3422222222222222-2-2-2-222-2-2-2-22222222200000000-2-200000000-22-2-2-2-222-2-20000-220000000000000000-22-2200000000000000000000
χ3522222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2000000002-22222-2-22200002-20000000000000000-22-2200000000000000000000
χ3622222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-200000000-22222222-2-20000-2200000000000000002-22-200000000000000000000
χ37222222222-2-22-2-22222-2-2-22-2-20000000022-2-222-2-22-20000000000000000002-22-20022-2-200002-22-20000000000002-200000000000000
χ38222222222-2-22-2-22222-2-2-22-2-20000000022-2-222-2-22-20000000000000000002-22-200-2-2220000-22-22000000000000-2200000000000000
χ39222222222-2-22-2-22222-2-2-22-2-200000000-2-222-2-2222-2000000000000000000-22-220022-2-20000-22-220000000000002-200000000000000
χ40222222222-2-22-2-22222-2-2-22-2-200000000-2-222-2-2222-2000000000000000000-22-2200-2-22200002-22-2000000000000-2200000000000000
χ4122222-2-2-2-22222222-2-2-2-2-22222222-2-2-2-200000000-2-20000000022-2-222-2-2-2-200002200000000000000002-2-2200000000000000000000
χ4222222-2-2-2-22222222-2-2-2-2-22222222-2-2-2-200000000-2-200000000-2-2-2-22222220000-2-20000000000000000-222-200000000000000000000
χ4322222-2-2-2-22222222-2-2-2-2-2222-2-2-2-2222200000000-2-2000000002222-2-2-2-2-2-20000220000000000000000-222-200000000000000000000
χ4422222-2-2-2-22222222-2-2-2-2-2222-2-2-2-2222200000000-2-200000000-2-222-2-222220000-2-200000000000000002-2-2200000000000000000000
χ4522222-2-2-2-2-2-22-2-2-2-22222-2-2220000000022-2-2-2-2222-20000000000000000002-2-220022-2-200002-2-22000000000000-2200000000000000
χ4622222-2-2-2-2-2-22-2-2-2-22222-2-2220000000022-2-2-2-2222-20000000000000000002-2-2200-2-2220000-222-20000000000002-200000000000000
χ4722222-2-2-2-2-2-22-2-2-2-22222-2-22200000000-2-22222-2-22-2000000000000000000-222-20022-2-20000-222-2000000000000-2200000000000000
χ4822222-2-2-2-2-2-22-2-2-2-22222-2-22200000000-2-22222-2-22-2000000000000000000-222-200-2-22200002-2-220000000000002-200000000000000
χ492222-222-2-222-2-2-222222-2-2-22-20000000022-2-222-2-2-22000000000000000000-22-22000000020000002-20-200000000002-22-20000000000
χ502222-222-2-222-2-2-222222-2-2-22-20000000022-2-222-2-2-22000000000000000000-22-220000000-2000000-22020000000000-22-220000000000
χ512222-222-2-222-2-2-222222-2-2-22-200000000-2-222-2-222-220000000000000000002-22-2000000020000002-20-20000000000-22-220000000000
χ522222-222-2-222-2-2-222222-2-2-22-200000000-2-222-2-222-220000000000000000002-22-20000000-2000000-220200000000002-22-20000000000
χ532222-222-2-2-2-2-2222222-222-2-220000000022222222-2-2000000002200002-22-2-2-2-2-2-2-20000-202-200000020000000000000000000000000
χ542222-222-2-2-2-2-2222222-222-2-220000000022222222-2-200000000-2-20000-22-22-2-2-2-222000020-22000000-20000000000000000000000000
χ552222-222-2-2-2-2-2222222-222-2-2200000000-2-2-2-2-2-2-2-2-2-2000000002200002-22-22222-2-2000020-22000000-20000000000000000000000000
χ562222-222-2-2-2-2-2222222-222-2-2200000000-2-2-2-2-2-2-2-2-2-200000000-2-20000-22-222222220000-202-200000020000000000000000000000000
χ572222-222-2-2-2-2-222-2-2-2-2-22-222-200000000000000002222-2-222-2-22-20000-222-20000-22000000000000000000002-22-20000000000000000
χ582222-222-2-2-2-2-222-2-2-2-2-22-222-200000000000000002222-2-222-2-2-2200002-2-2200002-200000000000000000000-22-220000000000000000
χ592222-222-2-2-2-2-222-2-2-2-2-22-222-2000000000000000022-2-222-2-2222-20000-222-20000-2200000000000000000000-22-220000000000000000
χ602222-222-2-2-2-2-222-2-2-2-2-22-222-2000000000000000022-2-222-2-222-2200002-2-2200002-2000000000000000000002-22-20000000000000000
χ612222-2-2-22222-2-2-2-2-222-22-22-220000000022-2-2-2-222-22000000000000000000-222-200000002000000-220-20000000000-222-20000000000
χ622222-2-2-22222-2-2-2-2-222-22-22-220000000022-2-2-2-222-22000000000000000000-222-20000000-20000002-20200000000002-2-220000000000
χ632222-2-2-22222-2-2-2-2-222-22-22-2200000000-2-22222-2-2-220000000000000000002-2-2200000002000000-220-200000000002-2-220000000000
χ642222-2-2-22222-2-2-2-2-222-22-22-2200000000-2-22222-2-2-220000000000000000002-2-220000000-20000002-2020000000000-222-20000000000
χ652222-2-2-222-2-2-22222-2-22-2-2-2-2200000000000000002222-2-2-2-222220000-22-220000-2-2000000000000000000002-2-220000000000000000
χ662222-2-2-222-2-2-22222-2-22-2-2-2-2200000000000000002222-2-2-2-222-2-200002-22-200002200000000000000000000-222-20000000000000000
χ672222-2-2-222-2-2-22222-2-22-2-2-2-22000000000000000022-2-22222-2-2220000-22-220000-2-200000000000000000000-222-20000000000000000
χ682222-2-2-222-2-2-22222-2-22-2-2-2-22000000000000000022-2-22222-2-2-2-200002-22-2000022000000000000000000002-2-220000000000000000
χ692222-2-2-222-2-2-222-2-2222-2222-2000000002222-2-2-2-2-2-2000000002-200002-2-22-2-222-220000-20-2200000020000000000000000000000000
χ702222-2-2-222-2-2-222-2-2222-2222-2000000002222-2-2-2-2-2-200000000-220000-222-2-2-2222-20000202-2000000-20000000000000000000000000
χ712222-2-2-222-2-2-222-2-2222-2222-200000000-2-2-2-22222-2-2000000002-200002-2-2222-2-2-220000202-2000000-20000000000000000000000000
χ722222-2-2-222-2-2-222-2-2222-2222-200000000-2-2-2-22222-2-200000000-220000-222-222-2-22-20000-20-2200000020000000000000000000000000
χ73444444444-4-44-4-4-4-4-4-4-4-44-4440000000000000000-440000000000000000000000000000000000000000000000000000000000000000
χ7444444-4-4-4-4-4-44-4-444-4-44444-4-40000000000000000-440000000000000000000000000000000000000000000000000000000000000000
χ754444-444-4-444-4-4-4-4-4-4-44-444-4400000000000000004-40000000000000000000000000000000000000000000000000000000000000000
χ764444-4-4-44444-4-4-444-4-4-444-44-400000000000000004-40000000000000000000000000000000000000000000000000000000000000000
χ7744-4-404-400000004-44-40000002i2i−2i−2i2i2i−2i−2i004i−4i004i−4i002-22-22-22-2002i−2i2i−2i00000000000000000000000000000000000000000000000000
χ7844-4-404-400000004-44-40000002i2i−2i−2i2i2i−2i−2i00−4i4i00−4i4i00-22-22-22-22002i−2i2i−2i00000000000000000000000000000000000000000000000000
χ7944-4-404-400000004-44-4000000−2i−2i2i2i−2i−2i2i2i004i−4i004i−4i00-22-22-22-2200−2i2i−2i2i00000000000000000000000000000000000000000000000000
χ8044-4-404-400000004-44-4000000−2i−2i2i2i−2i−2i2i2i00−4i4i00−4i4i002-22-22-22-200−2i2i−2i2i00000000000000000000000000000000000000000000000000
χ8144-4-404-40000000-44-440000002i2i−2i−2i2i2i−2i−2i4i−4i004i−4i00002-2-222-2-2200−2i2i−2i2i00000000000000000000000000000000000000000000000000
χ8244-4-404-40000000-44-440000002i2i−2i−2i2i2i−2i−2i−4i4i00−4i4i0000-222-2-222-200−2i2i−2i2i00000000000000000000000000000000000000000000000000
χ8344-4-404-40000000-44-44000000−2i−2i2i2i−2i−2i2i2i4i−4i004i−4i0000-222-2-222-2002i−2i2i−2i00000000000000000000000000000000000000000000000000
χ8444-4-404-40000000-44-44000000−2i−2i2i2i−2i−2i2i2i−4i4i00−4i4i00002-2-222-2-22002i−2i2i−2i00000000000000000000000000000000000000000000000000
χ8544-4-40-4400000004-4-440000002i2i−2i−2i−2i−2i2i2i4i−4i00−4i4i00002-2-22-222-200−2i2i2i−2i00000000000000000000000000000000000000000000000000
χ8644-4-40-4400000004-4-440000002i2i−2i−2i−2i−2i2i2i−4i4i004i−4i0000-222-22-2-2200−2i2i2i−2i00000000000000000000000000000000000000000000000000
χ8744-4-40-4400000004-4-44000000−2i−2i2i2i2i2i−2i−2i4i−4i00−4i4i0000-222-22-2-22002i−2i−2i2i00000000000000000000000000000000000000000000000000
χ8844-4-40-4400000004-4-44000000−2i−2i2i2i2i2i−2i−2i−4i4i004i−4i00002-2-22-222-2002i−2i−2i2i00000000000000000000000000000000000000000000000000
χ8944-4-40-440000000-444-40000002i2i−2i−2i−2i−2i2i2i004i−4i00−4i4i002-22-2-22-22002i−2i−2i2i00000000000000000000000000000000000000000000000000
χ9044-4-40-440000000-444-40000002i2i−2i−2i−2i−2i2i2i00−4i4i004i−4i00-22-222-22-2002i−2i−2i2i00000000000000000000000000000000000000000000000000
χ9144-4-40-440000000-444-4000000−2i−2i2i2i2i2i−2i−2i004i−4i00−4i4i00-22-222-22-200−2i2i2i−2i00000000000000000000000000000000000000000000000000
χ9244-4-40-440000000-444-4000000−2i−2i2i2i2i2i−2i−2i00−4i4i004i−4i002-22-2-22-2200−2i2i2i−2i00000000000000000000000000000000000000000000000000
χ934-4-44400004-4-44-4000000000000004-44-400000000000000000000000000000000002i2−2i22i2−2i200000000000000000000000000002i2−2i2000000
χ944-4-44400004-4-44-4000000000000004-44-40000000000000000000000000000000000−2i22i2−2i22i20000000000000000000000000000−2i22i2000000
χ954-4-44400004-4-44-400000000000000-44-4400000000000000000000000000000000002i2−2i22i2−2i20000000000000000000000000000−2i22i2000000
χ964-4-44400004-4-44-400000000000000-44-440000000000000000000000000000000000−2i22i2−2i22i200000000000000000000000000002i2−2i2000000
χ974-4-4440000-44-4-4400000000004-44-4000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000002i2−2i200000000
χ984-4-4440000-44-4-4400000000004-44-400000000000000000000000000000000000000−2i22i22i2−2i200000000000000000000000000−2i22i200000000
χ994-4-4440000-44-4-440000000000-44-44000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000000000000−2i22i200000000
χ1004-4-4440000-44-4-440000000000-44-4400000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000002i2−2i200000000
χ1018-88-80008-80000000000000004i−4i−4i4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-80008-8000000000000000−4i4i4i−4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8000-880000000000000004i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8000-88000000000000000−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-800008-88-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-80000-8888-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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