Finite Group Databasebeta

← Group #72262642

Character table — Group #72262642

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11222222244444444448888888888888888888888888161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222444444444444224444444444444444444444444444444444444444444444444444448888
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
χ311111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ711111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ811111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ911111111111-1-11111-1-111111-1-1-1-1-1-1-1-111-111111111-1111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−ii−ii−i
χ1011111111111-1-11111-1-111111-1-1-1-1-1-1-1-111-111111111-1111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii−ii−ii
χ1111111111111-1-11111-1-111111-1-1-1-1-1-1-1-111-111111111-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−ii−ii−ii−ii
χ1211111111111-1-11111-1-111111-1-1-1-1-1-1-1-111-111111111-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiii−ii−ii−ii−i
χ1311111111111-1-11111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiii−i−iii−i−ii
χ1411111111111-1-11111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−iii−i−iii−i
χ1511111111111-1-11111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111111111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−iii−i−iii−i
χ1611111111111-1-11111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111111111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−ii−i−iii−i−ii
χ17111111111-1-1111111-1-111-1-1-1111-1-1-1-1-111-111111111-11111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111ii−i−iii−i−iii−i−iii−i−ii−i−ii−iii−i
χ18111111111-1-1111111-1-111-1-1-1111-1-1-1-1-111-111111111-11111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111−i−iii−i−iii−i−iii−i−iii−iii−ii−i−ii
χ19111111111-1-1111111-1-111-1-1-1111-1-1-1-1-111-111111111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i−iii−ii−i−ii
χ20111111111-1-1111111-1-111-1-1-1111-1-1-1-1-111-111111111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1−i−iii−i−iii−i−iii−i−iiii−i−ii−iii−i
χ21111111111-1-1111111-1-111-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ22111111111-1-1111111-1-111-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ23111111111-1-1111111-1-111-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1111111-1-111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ24111111111-1-1111111-1-111-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1111111-1-111-1-1-1-111−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ25111111111-1-1-1-111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ26111111111-1-1-1-111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ27111111111-1-1-1-111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ28111111111-1-1-1-111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ29111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-11111-1-1-1-1
χ30111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-11111
χ31111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111
χ32111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1
χ332222222222222222222-2-222222222-22-2-2-2-22222-2-2-2-2-20000-2-2-2-222-2-222-2-2-2-2220000000000000000000000000000000000000000
χ342222222222222222222-2-222222222-22-2-2-2-2-2-2-2-22222-20000-2-2-2-2-2-222-2-22222-2-20000000000000000000000000000000000000000
χ3522222222222-2-22222-2-2-2-2222-2-2-2-2-22-22-2-222222-2-2-2-220000-2-2222222-2-222-2-2-2-20000000000000000000000000000000000000000
χ3622222222222-2-22222-2-2-2-2222-2-2-2-2-22-22-2-22-2-2-2-2222220000-2-222-2-2-2-222-2-222220000000000000000000000000000000000000000
χ37222222222-2-2222222-2-2-2-2-2-2-2222-2-22-22-2-222222-2-2-2-22000022-2-2-2-2-2-2-2-22222220000000000000000000000000000000000000000
χ38222222222-2-2222222-2-2-2-2-2-2-2222-2-22-22-2-22-2-2-2-222222000022-2-2222222-2-2-2-2-2-20000000000000000000000000000000000000000
χ39222222222-2-2-2-2222222-2-2-2-2-2-2-2-222-22-2-2-2-22222-2-2-2-2-200002222-2-22222-2-222-2-20000000000000000000000000000000000000000
χ40222222222-2-2-2-2222222-2-2-2-2-2-2-2-222-22-2-2-2-2-2-2-2-22222-20000222222-2-2-2-222-2-2220000000000000000000000000000000000000000
χ41222-222-2-2-2000022-2-2222-20000002-22-2-22-2-22i2i−2i−2i2i2i−2i−2i20000000000002i−2i2i−2i00000000000000000000002-22-200002i−2i2i−2i0000000000
χ42222-222-2-2-2000022-2-2222-20000002-22-2-22-2-22i2i−2i−2i2i2i−2i−2i20000000000002i−2i2i−2i0000000000000000000000-22-220000−2i2i−2i2i0000000000
χ43222-222-2-2-2000022-2-2222-20000002-22-2-22-2-2−2i−2i2i2i−2i−2i2i2i2000000000000−2i2i−2i2i00000000000000000000002-22-20000−2i2i−2i2i0000000000
χ44222-222-2-2-2000022-2-2222-20000002-22-2-22-2-2−2i−2i2i2i−2i−2i2i2i2000000000000−2i2i−2i2i0000000000000000000000-22-2200002i−2i2i−2i0000000000
χ45222-222-2-2-2000022-2-222-220000002-2-2-22-2222i2i−2i−2i−2i−2i2i2i-20000000000002i−2i−2i2i000000000000000000002-200002-22i−2i00002i−2i00000000
χ46222-222-2-2-2000022-2-222-220000002-2-2-22-2222i2i−2i−2i−2i−2i2i2i-20000000000002i−2i−2i2i00000000000000000000-220000-22−2i2i0000−2i2i00000000
χ47222-222-2-2-2000022-2-222-220000002-2-2-22-222−2i−2i2i2i2i2i−2i−2i-2000000000000−2i2i2i−2i000000000000000000002-200002-2−2i2i0000−2i2i00000000
χ48222-222-2-2-2000022-2-222-220000002-2-2-22-222−2i−2i2i2i2i2i−2i−2i-2000000000000−2i2i2i−2i00000000000000000000-220000-222i−2i00002i−2i00000000
χ49222-222-2-2-2000022-2-2-2-22-2000000-22-2222-222i2i−2i−2i2i2i−2i−2i-2000000000000−2i2i−2i2i00000000000000000000002i−2i−2i2i0000-222-20000000000
χ50222-222-2-2-2000022-2-2-2-22-2000000-22-2222-222i2i−2i−2i2i2i−2i−2i-2000000000000−2i2i−2i2i0000000000000000000000−2i2i2i−2i00002-2-220000000000
χ51222-222-2-2-2000022-2-2-2-22-2000000-22-2222-22−2i−2i2i2i−2i−2i2i2i-20000000000002i−2i2i−2i00000000000000000000002i−2i−2i2i00002-2-220000000000
χ52222-222-2-2-2000022-2-2-2-22-2000000-22-2222-22−2i−2i2i2i−2i−2i2i2i-20000000000002i−2i2i−2i0000000000000000000000−2i2i2i−2i0000-222-20000000000
χ53222-222-2-2-2000022-2-2-2-2-22000000-2222-2-22-22i2i−2i−2i−2i−2i2i2i2000000000000−2i2i2i−2i000000000000000000002i−2i0000−2i2i-2200002-200000000
χ54222-222-2-2-2000022-2-2-2-2-22000000-2222-2-22-22i2i−2i−2i−2i−2i2i2i2000000000000−2i2i2i−2i00000000000000000000−2i2i00002i−2i2-20000-2200000000
χ55222-222-2-2-2000022-2-2-2-2-22000000-2222-2-22-2−2i−2i2i2i2i2i−2i−2i20000000000002i−2i−2i2i000000000000000000002i−2i0000−2i2i2-20000-2200000000
χ56222-222-2-2-2000022-2-2-2-2-22000000-2222-2-22-2−2i−2i2i2i2i2i−2i−2i20000000000002i−2i−2i2i00000000000000000000−2i2i00002i−2i-2200002-200000000
χ57222-222-2-2-22222-2-222222-22-2-22-2-2-2-222-2-22200000000-200002-22-20000000000002i2i−2i−2i002i−2i00002i−2i2i−2i000000000000000000000000
χ58222-222-2-2-22222-2-222222-22-2-22-2-2-2-222-2-22200000000-200002-22-2000000000000−2i−2i2i2i00−2i2i0000−2i2i−2i2i000000000000000000000000
χ59222-222-2-2-22222-2-22222-222-2-22-2-2-2-2-2222-2-20000000022-22-2-22-2200000000000000002-2002-22-20000000000000000000000000000
χ60222-222-2-2-22222-2-22222-222-2-22-2-2-2-2-2222-2-2000000002-22-22-22-220000000000000000-2200-22-220000000000000000000000000000
χ61222-222-2-2-222-2-2-2-222-2-22-22-2-2-22222-2-22-22-200000000200002-2-220000000000002i2i−2i−2i00−2i2i00002i−2i−2i2i000000000000000000000000
χ62222-222-2-2-222-2-2-2-222-2-22-22-2-2-22222-2-22-22-200000000200002-2-22000000000000−2i−2i2i2i002i−2i0000−2i2i2i−2i000000000000000000000000
χ63222-222-2-2-222-2-2-2-222-2-2-222-2-2-222222-2-22-2200000000-22-22-2-222-20000000000000000-22002-2-220000000000000000000000000000
χ64222-222-2-2-222-2-2-2-222-2-2-222-2-2-222222-2-22-2200000000-2-22-22-222-200000000000000002-200-222-20000000000000000000000000000
χ65222-222-2-2-2-2-222-2-222-2-22-2-2222-2-222-2-22-22-20000000020000-222-20000000000002i2i−2i−2i00−2i2i0000−2i2i2i−2i000000000000000000000000
χ66222-222-2-2-2-2-222-2-222-2-22-2-2222-2-222-2-22-22-20000000020000-222-2000000000000−2i−2i2i2i002i−2i00002i−2i−2i2i000000000000000000000000
χ67222-222-2-2-2-2-222-2-222-2-2-22-2222-2-2222-2-22-2200000000-22-22-22-2-220000000000000000-2200-222-20000000000000000000000000000
χ68222-222-2-2-2-2-222-2-222-2-2-22-2222-2-2222-2-22-2200000000-2-22-222-2-2200000000000000002-2002-2-220000000000000000000000000000
χ69222-222-2-2-2-2-2-2-2-2-222222-2-222-222-2-222-2-22200000000-20000-22-220000000000002i2i−2i−2i002i−2i0000−2i2i−2i2i000000000000000000000000
χ70222-222-2-2-2-2-2-2-2-2-222222-2-222-222-2-222-2-22200000000-20000-22-22000000000000−2i−2i2i2i00−2i2i00002i−2i2i−2i000000000000000000000000
χ71222-222-2-2-2-2-2-2-2-2-22222-22-222-222-2-2-2222-2-20000000022-22-22-22-200000000000000002-200-22-220000000000000000000000000000
χ72222-222-2-2-2-2-2-2-2-2-22222-22-222-222-2-2-2222-2-2000000002-22-222-22-20000000000000000-22002-22-20000000000000000000000000000
χ734444444440000-4-4-4-44444000000-444-44-4-4-400000000-4000000000000000000000000000000000000000000000000000000000000
χ744444444440000-4-4-4-444-4-4000000-44-4-4-4444000000004000000000000000000000000000000000000000000000000000000000000
χ754444444440000-4-4-4-4-4-4440000004-4-44-4-4-44000000004000000000000000000000000000000000000000000000000000000000000
χ764444444440000-4-4-4-4-4-4-4-40000004-444444-400000000-4000000000000000000000000000000000000000000000000000000000000
χ7744-444-44-4-400444-44-40000000-44-4000000004i−4i4i−4i000000000000000000000004i−4i0000000000000000000000000000000000000000
χ7844-444-44-4-400444-44-40000000-44-400000000−4i4i−4i4i00000000000000000000000−4i4i0000000000000000000000000000000000000000
χ7944-444-44-4-400-4-44-44-400000004-44000000004i−4i4i−4i00000000000000000000000−4i4i0000000000000000000000000000000000000000
χ8044-444-44-4-400-4-44-44-400000004-4400000000−4i4i−4i4i000000000000000000000004i−4i0000000000000000000000000000000000000000
χ8144-444-44-4-44400-44-440000-44-40000000000000004i−4i4i−4i000000000000000004i−4i000000000000000000000000000000000000000000
χ8244-444-44-4-44400-44-440000-44-4000000000000000−4i4i−4i4i00000000000000000−4i4i000000000000000000000000000000000000000000
χ8344-444-44-4-4-4-400-44-4400004-440000000000000004i−4i4i−4i00000000000000000−4i4i000000000000000000000000000000000000000000
χ8444-444-44-4-4-4-400-44-4400004-44000000000000000−4i4i−4i4i000000000000000004i−4i000000000000000000000000000000000000000000
χ8544-4-44-4-4440044-444-40000000-4-440000000000004-4-44000000000004-4000000000000000000000000000000000000000000000000
χ8644-4-44-4-4440044-444-40000000-4-44000000000000-444-400000000000-44000000000000000000000000000000000000000000000000
χ8744-4-44-4-44400-4-4-444-4000000044-40000000000004-4-4400000000000-44000000000000000000000000000000000000000000000000
χ8844-4-44-4-44400-4-4-444-4000000044-4000000000000-444-4000000000004-4000000000000000000000000000000000000000000000000
χ8944-4-44-4-44444004-4-440000-4-44000000000004-4-4400000000000004-400000000000000000000000000000000000000000000000000
χ9044-4-44-4-44444004-4-440000-4-4400000000000-444-40000000000000-4400000000000000000000000000000000000000000000000000
χ9144-4-44-4-444-4-4004-4-44000044-4000000000004-4-440000000000000-4400000000000000000000000000000000000000000000000000
χ9244-4-44-4-444-4-4004-4-44000044-400000000000-444-400000000000004-400000000000000000000000000000000000000000000000000
χ938888-8-8-88-800000000000000000000000000000000000000000000000000000004i−4i4i−4i000000000000000000000000000000000000
χ948888-8-8-88-80000000000000000000000000000000000000000000000000000000−4i4i−4i4i000000000000000000000000000000000000
χ95888-8-8-88-8800000000000000000000000000000000000000000000000000000004-4-44000000000000000000000000000000000000
χ96888-8-8-88-880000000000000000000000000000000000000000000000000000000-444-4000000000000000000000000000000000000
χ9788-88-88-8-880000000000000000000000000000000000044-4-400000000000000000000000000000000000000000000000000000000
χ9888-88-88-8-8800000000000000000000000000000000000-4-44400000000000000000000000000000000000000000000000000000000
χ9988-8-8-8888-8000000000000000000000000000000000004-4-4400000000000000000000000000000000000000000000000000000000
χ10088-8-8-8888-800000000000000000000000000000000000-444-400000000000000000000000000000000000000000000000000000000
χ10116-1600000008-88-800008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10216-1600000008-8-880000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10316-160000000-888-80000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10416-160000000-88-8800008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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