Finite Group Databasebeta

← Group #72262643

Character table — Group #72262643

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11222222244444444448888888888888888888888888161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222444444444444444444444444444444444444244444444444444444448888888844448888
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
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ6111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ7111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ8111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ91111111111111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ101111111111111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ111111111111111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ121111111111111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ131111111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ141111111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ151111111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ161111111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ171111111111111-1-1-1-111111-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ181111111111111-1-1-1-111111-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ191111111111111-1-1-1-111111-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ201111111111111-1-1-1-111111-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ211111111111111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ221111111111111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ231111111111111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ241111111111111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ251111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111ii−i−iii−i−i−i−iii−i−iiii−i−ii−iii−i
χ261111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i−iii−ii−i−ii
χ271111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii−iii−ii−i−ii
χ281111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1−i−iii−i−iiiii−i−iii−i−ii−i−ii−iii−i
χ291111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−ii−ii−i−ii−ii
χ301111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii−ii−iii−ii−i
χ311111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i−ii−iii−ii−i
χ321111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iiii−ii−i−ii−ii
χ3322222222222-2-222-2-222-2-2-2222-2-2-22-2-2222222-2-2-2-2-2-2222-2-2-2-222-2-22222-2-200000000000000000000000000000000000000000000
χ3422222222222-2-222-2-222-2-2-2222-2-2-22-2-222-2-2-2-22222-2-2222-2-222-2-222-2-2-2-22200000000000000000000000000000000000000000000
χ3522222222222-2-222-2-222-2-2-2222-2-2-2-222-2-22222222222-2-2-222-2-222-2-2-2-2-2-22200000000000000000000000000000000000000000000
χ3622222222222-2-222-2-222-2-2-2222-2-2-2-222-2-2-2-2-2-2-2-2-2-222-2-2-22222-2-2222222-2-200000000000000000000000000000000000000000000
χ3722222222222-2-2-2-22222-2-2-2-2-2-22222-2-2222222-2-2-2-2-2-22-2-222-2-2-2-22222-2-22200000000000000000000000000000000000000000000
χ3822222222222-2-2-2-22222-2-2-2-2-2-22222-2-222-2-2-2-22222-2-22-2-2222222-2-2-2-222-2-200000000000000000000000000000000000000000000
χ3922222222222-2-2-2-22222-2-2-2-2-2-2222-222-2-22222222222-222-2-2-2-2-2-222-2-222-2-200000000000000000000000000000000000000000000
χ4022222222222-2-2-2-22222-2-2-2-2-2-2222-222-2-2-2-2-2-2-2-2-2-222-222-2-22222-2-222-2-22200000000000000000000000000000000000000000000
χ41222-2-222-2-222220000-2-22-2-200000022-2-2-22i2i−2i−2i2i2i−2i−2i2-2200002i−2i00002i−2i000022-2-200002-2002i−2i002i−2i00000000000000000000000000
χ42222-2-222-2-222220000-2-22-2-200000022-2-2-22i2i−2i−2i2i2i−2i−2i2-2200002i−2i00002i−2i0000-2-2220000-2200−2i2i00−2i2i00000000000000000000000000
χ43222-2-222-2-222220000-2-22-2-200000022-2-2-2−2i−2i2i2i−2i−2i2i2i2-220000−2i2i0000−2i2i000022-2-200002-200−2i2i00−2i2i00000000000000000000000000
χ44222-2-222-2-222220000-2-22-2-200000022-2-2-2−2i−2i2i2i−2i−2i2i2i2-220000−2i2i0000−2i2i0000-2-2220000-22002i−2i002i−2i00000000000000000000000000
χ45222-2-222-2-222220000-2-22-2-2000000-2-22222i2i−2i−2i−2i−2i2i2i-22-200002i−2i0000−2i2i000022-2-20000-22002i−2i00−2i2i00000000000000000000000000
χ46222-2-222-2-222220000-2-22-2-2000000-2-22222i2i−2i−2i−2i−2i2i2i-22-200002i−2i0000−2i2i0000-2-22200002-200−2i2i002i−2i00000000000000000000000000
χ47222-2-222-2-222220000-2-22-2-2000000-2-2222−2i−2i2i2i2i2i−2i−2i-22-20000−2i2i00002i−2i000022-2-20000-2200−2i2i002i−2i00000000000000000000000000
χ48222-2-222-2-222220000-2-22-2-2000000-2-2222−2i−2i2i2i2i2i−2i−2i-22-20000−2i2i00002i−2i0000-2-22200002-2002i−2i00−2i2i00000000000000000000000000
χ49222-2-222-2-222-2-20000-2-2-2220000002-22-2-22i2i−2i−2i−2i−2i2i2i-2220000−2i2i00002i−2i0000000022-2-2002-2002i−2i002i−2i000000000000000000000000
χ50222-2-222-2-222-2-20000-2-2-2220000002-22-2-22i2i−2i−2i−2i−2i2i2i-2220000−2i2i00002i−2i00000000-2-22200-2200−2i2i00−2i2i000000000000000000000000
χ51222-2-222-2-222-2-20000-2-2-2220000002-22-2-2−2i−2i2i2i2i2i−2i−2i-22200002i−2i0000−2i2i0000000022-2-2002-200−2i2i00−2i2i000000000000000000000000
χ52222-2-222-2-222-2-20000-2-2-2220000002-22-2-2−2i−2i2i2i2i2i−2i−2i-22200002i−2i0000−2i2i00000000-2-22200-22002i−2i002i−2i000000000000000000000000
χ53222-2-222-2-222-2-20000-2-2-222000000-22-2222i2i−2i−2i2i2i−2i−2i2-2-20000−2i2i0000−2i2i0000000022-2-200-22002i−2i00−2i2i000000000000000000000000
χ54222-2-222-2-222-2-20000-2-2-222000000-22-2222i2i−2i−2i2i2i−2i−2i2-2-20000−2i2i0000−2i2i00000000-2-222002-200−2i2i002i−2i000000000000000000000000
χ55222-2-222-2-222-2-20000-2-2-222000000-22-222−2i−2i2i2i−2i−2i2i2i2-2-200002i−2i00002i−2i0000000022-2-200-2200−2i2i002i−2i000000000000000000000000
χ56222-2-222-2-222-2-20000-2-2-222000000-22-222−2i−2i2i2i−2i−2i2i2i2-2-200002i−2i00002i−2i00000000-2-222002-2002i−2i00−2i2i000000000000000000000000
χ57222-2-222-2-2-2-222222222-22-22-2-22-2-222-2-2200000000-22-22-22-2000000000000000000000000000000002i−2i2i−2i00002i−2i2i−2i000000000000
χ58222-2-222-2-2-2-222222222-22-22-2-22-2-222-2-2200000000-22-22-22-200000000000000000000000000000000−2i2i−2i2i0000−2i2i−2i2i000000000000
χ59222-2-222-2-2-2-222222222-22-22-2-22-2-2-2-222-2000000002-22-22-22000000000000000000000000000000002-2-2200002-2-22000000000000
χ60222-2-222-2-2-2-222222222-22-22-2-22-2-2-2-222-2000000002-22-22-2200000000000000000000000000000000-222-20000-222-2000000000000
χ61222-2-222-2-2-2-222-2-2-2-222-22-2-222-22222-2-2200000000-22-2-22-22000000000000000000000000000000002i−2i2i−2i0000−2i2i−2i2i000000000000
χ62222-2-222-2-2-2-222-2-2-2-222-22-2-222-22222-2-2200000000-22-2-22-2200000000000000000000000000000000−2i2i−2i2i00002i−2i2i−2i000000000000
χ63222-2-222-2-2-2-222-2-2-2-222-22-2-222-222-2-222-2000000002-222-22-2000000000000000000000000000000002-2-220000-222-2000000000000
χ64222-2-222-2-2-2-222-2-2-2-222-22-2-222-222-2-222-2000000002-222-22-200000000000000000000000000000000-222-200002-2-22000000000000
χ65222-2-222-2-2-2-2-2-222-2-2222-222-2-2-2222-22-22000000002-2-22-2-220000000000000000000000000000000000002i−2i2i−2i00002i−2i2i−2i00000000
χ66222-2-222-2-2-2-2-2-222-2-2222-222-2-2-2222-22-22000000002-2-22-2-22000000000000000000000000000000000000−2i2i−2i2i0000−2i2i−2i2i00000000
χ67222-2-222-2-2-2-2-2-222-2-2222-222-2-2-222-22-22-200000000-222-222-20000000000000000000000000000000000002-2-2200002-2-2200000000
χ68222-2-222-2-2-2-2-2-222-2-2222-222-2-2-222-22-22-200000000-222-222-2000000000000000000000000000000000000-222-20000-222-200000000
χ69222-2-222-2-2-2-2-2-2-2-222222-22-2222-2-22-22-22000000002-2-2-222-20000000000000000000000000000000000002i−2i2i−2i0000−2i2i−2i2i00000000
χ70222-2-222-2-2-2-2-2-2-2-222222-22-2222-2-22-22-22000000002-2-2-222-2000000000000000000000000000000000000−2i2i−2i2i00002i−2i2i−2i00000000
χ71222-2-222-2-2-2-2-2-2-2-222222-22-2222-2-2-22-22-200000000-2222-2-220000000000000000000000000000000000002-2-220000-222-200000000
χ72222-2-222-2-2-2-2-2-2-2-222222-22-2222-2-2-22-22-200000000-2222-2-22000000000000000000000000000000000000-222-200002-2-2200000000
χ73444444444-4-4440000-4-4-4-440000004444-400000000-4-4-4000000000000000000000000000000000000000000000000000000000000
χ74444444444-4-4440000-4-4-4-44000000-4-4-4-4400000000444000000000000000000000000000000000000000000000000000000000000
χ75444444444-4-4-4-40000-4-444-40000004-4-44-40000000044-4000000000000000000000000000000000000000000000000000000000000
χ76444444444-4-4-4-40000-4-444-4000000-444-4400000000-4-44000000000000000000000000000000000000000000000000000000000000
χ7744-4444-4-4-44-40000444-4000000-44-40000000004i−4i4i−4i0000000000000004i−4i0000000000000000000000000000000000000000000000
χ7844-4444-4-4-44-40000444-4000000-44-4000000000−4i4i−4i4i000000000000000−4i4i0000000000000000000000000000000000000000000000
χ7944-4444-4-4-44-40000-4-44-40000004-440000000004i−4i4i−4i000000000000000−4i4i0000000000000000000000000000000000000000000000
χ8044-4444-4-4-44-40000-4-44-40000004-44000000000−4i4i−4i4i0000000000000004i−4i0000000000000000000000000000000000000000000000
χ8144-4444-4-4-4-44004400-44000-44-4000000004i−4i4i−4i00000000000004i−4i0000000000000000000000000000000000000000000000000000
χ8244-4444-4-4-4-44004400-44000-44-400000000−4i4i−4i4i0000000000000−4i4i0000000000000000000000000000000000000000000000000000
χ8344-4444-4-4-4-4400-4-400-440004-44000000004i−4i4i−4i0000000000000−4i4i0000000000000000000000000000000000000000000000000000
χ8444-4444-4-4-4-4400-4-400-440004-4400000000−4i4i−4i4i00000000000004i−4i0000000000000000000000000000000000000000000000000000
χ8544-4-4-44-4444-4004400-44000-4-440000000000004-4-44000000000000000004-400000000000000000000000000000000000000000000
χ8644-4-4-44-4444-4004400-44000-4-44000000000000-444-400000000000000000-4400000000000000000000000000000000000000000000
χ8744-4-4-44-4444-400-4-400-4400044-40000000000004-4-4400000000000000000-4400000000000000000000000000000000000000000000
χ8844-4-4-44-4444-400-4-400-4400044-4000000000000-444-4000000000000000004-400000000000000000000000000000000000000000000
χ8944-4-4-44-444-440000444-4000000-4-44000004-4-440000000000000004-400000000000000000000000000000000000000000000000000
χ9044-4-4-44-444-440000444-4000000-4-4400000-444-4000000000000000-4400000000000000000000000000000000000000000000000000
χ9144-4-4-44-444-440000-4-44-400000044-4000004-4-44000000000000000-4400000000000000000000000000000000000000000000000000
χ9244-4-4-44-444-440000-4-44-400000044-400000-444-40000000000000004-400000000000000000000000000000000000000000000000000
χ938888-8-8-88-800000000000000000000000000000000000000000000000000000004i−4i4i−4i000000000000000000000000000000000000
χ948888-8-8-88-80000000000000000000000000000000000000000000000000000000−4i4i−4i4i000000000000000000000000000000000000
χ95888-88-8-8-8800000000000000000000000000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000000
χ96888-88-8-8-880000000000000000000000000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000
χ9788-88-8-88-880000000000000000000000000000000000000000000000000004-44-40000000000000000000000000000000000000000
χ9888-88-8-88-88000000000000000000000000000000000000000000000000000-44-440000000000000000000000000000000000000000
χ9988-8-88-888-80000000000000000000000000000000000000000000000000004-4-440000000000000000000000000000000000000000
χ10088-8-88-888-8000000000000000000000000000000000000000000000000000-444-40000000000000000000000000000000000000000
χ10116-160000000008-88-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10216-160000000008-8-88-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10316-16000000000-888-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10416-16000000000-88-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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