Finite Group Databasebeta

← Group #72310367

Character table — Group #72310367

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1122222224444448888888888888888888888888881616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232323264646464
order12222222222222222222222222444444444444444422224444444444444444244444444444444444444444444444888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ5111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ7111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1
χ8111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ911111111111111111111-1-1-1-111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ1011111111111111111111-1-1-1-111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ1111111111111111111111-1-1-1-111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-111
χ1211111111111111111111-1-1-1-111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1
χ1311111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ1411111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ1511111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ1611111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ171111111111111-1-111-1-1-111-1-1-1-111-111-1-11111-1-1-1-1-11-1111-11111-1-1-1-1-1-1ii−i−i11-1-111-1-1i−ii−ii−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i1-11-1
χ181111111111111-1-111-1-1-111-1-1-1-111-111-1-11111-1-1-1-1-11-1111-11111-1-1-1-1-1-1ii−i−i-1-111-1-111i−ii−ii−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii-11-11
χ191111111111111-1-111-1-1-111-1-1-1-111-111-1-11111-1-1-1-1-11-1111-11111-1-1-1-1-1-1−i−iii11-1-111-1-1−ii−ii−ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii1-11-1
χ201111111111111-1-111-1-1-111-1-1-1-111-111-1-11111-1-1-1-1-11-1111-11111-1-1-1-1-1-1−i−iii-1-111-1-111−ii−ii−ii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i-11-11
χ211111111111111-1-111-1-1-111-1-1-1-111-111-1-1-1-1-1-11111-1-11-1-1-11-1-111-1-11111ii−i−i11-1-1-1-111−iii−i−iiii−i−i−i−iiiii−i−iii−i−i−i−iii−i−iii1-1-11
χ221111111111111-1-111-1-1-111-1-1-1-111-111-1-1-1-1-1-11111-1-11-1-1-11-1-111-1-11111ii−i−i-1-11111-1-1−iii−i−iiii−i−i−i−iii−i−iii−i−iiiii−i−iii−i−i-111-1
χ231111111111111-1-111-1-1-111-1-1-1-111-111-1-1-1-1-1-11111-1-11-1-1-11-1-111-1-11111−i−iii11-1-1-1-111i−i−iii−i−i−iiiii−i−i−i−iii−i−iiiii−i−iii−i−i1-1-11
χ241111111111111-1-111-1-1-111-1-1-1-111-111-1-1-1-1-1-11111-1-11-1-1-11-1-111-1-11111−i−iii-1-11111-1-1i−i−iii−i−i−iiiii−i−iii−i−iii−i−i−i−iii−i−iii-111-1
χ251111111111111-1-111-1-1-1-1-111-1-111-1-1-1111111-1-1-1-1-11-1-1-11-1-1-1-1-1111111ii−i−i11-1-1-1-111i−ii−ii−i−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii-111-1
χ261111111111111-1-111-1-1-1-1-111-1-111-1-1-1111111-1-1-1-1-11-1-1-11-1-1-1-1-1111111ii−i−i-1-11111-1-1i−ii−ii−i−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ271111111111111-1-111-1-1-1-1-111-1-111-1-1-1111111-1-1-1-1-11-1-1-11-1-1-1-1-1111111−i−iii11-1-1-1-111−ii−ii−iiii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i-111-1
χ281111111111111-1-111-1-1-1-1-111-1-111-1-1-1111111-1-1-1-1-11-1-1-11-1-1-1-1-1111111−i−iii-1-11111-1-1−ii−ii−iiii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iii1-1-11
χ291111111111111-1-111-1-1-1-1-111-1-111-1-1-111-1-1-1-11111-1-1111-1111-1-111-1-1-1-1ii−i−i11-1-111-1-1−iii−i−ii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-11-11
χ301111111111111-1-111-1-1-1-1-111-1-111-1-1-111-1-1-1-11111-1-1111-1111-1-111-1-1-1-1ii−i−i-1-111-1-111−iii−i−ii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii1-11-1
χ311111111111111-1-111-1-1-1-1-111-1-111-1-1-111-1-1-1-11111-1-1111-1111-1-111-1-1-1-1−i−iii11-1-111-1-1i−i−iii−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-11-11
χ321111111111111-1-111-1-1-1-1-111-1-111-1-1-111-1-1-1-11111-1-1111-1111-1-111-1-1-1-1−i−iii-1-111-1-111i−i−iii−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i1-11-1
χ33222222222222222-2-222-222-2-22-2-2-2-222-2-222222222-2-2-22-2-2-22-2-2-22222-2-20000000000000000000000000000000000000000000000
χ34222222222222222-2-222-222-2-22-2-2-2-222-2-2-2-2-2-2-2-2-2-2-222-2222-22-2-222-2-2220000000000000000000000000000000000000000000000
χ35222222222222222-2-222-2-2-2222-2-2-2-2-2-22222222222-2-2-2-22-2-2-2222-2-2-2-2220000000000000000000000000000000000000000000000
χ36222222222222222-2-222-2-2-2222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2222-2222-222-2-222-2-20000000000000000000000000000000000000000000000
χ372222222222222-2-2-2-2-2-222222-22-2-2222222222-2-2-2-22-222-2-222-2-2-2-2-2-2-2220000000000000000000000000000000000000000000000
χ382222222222222-2-2-2-2-2-222222-22-2-222222-2-2-2-2222222-2-222-2-22-2-2-2-222-2-20000000000000000000000000000000000000000000000
χ392222222222222-2-2-2-2-2-22-2-2-2-2-22-2-22-2-2-2-22222-2-2-2-22-22-22-22-22222222-2-20000000000000000000000000000000000000000000000
χ402222222222222-2-2-2-2-2-22-2-2-2-2-22-2-22-2-2-2-2-2-2-2-2222222-22-22-22-22222-2-2220000000000000000000000000000000000000000000000
χ41222-2-22-2-2222-2-2222-22-220000-2-22-22000022-2-222-2-2-22200-2-200000000000000000000000000000000000000002i−2i2i−2i00002i−2i2i−2i0000
χ42222-2-22-2-2222-2-2222-22-220000-2-22-22000022-2-222-2-2-22200-2-20000000000000000000000000000000000000000−2i2i−2i2i0000−2i2i−2i2i0000
χ43222-2-22-2-2222-2-2222-22-220000-2-22-220000-2-222-2-222-2-2-2002200000000000000000000000000000000000000002i−2i2i−2i0000−2i2i−2i2i0000
χ44222-2-22-2-2222-2-2222-22-220000-2-22-220000-2-222-2-222-2-2-200220000000000000000000000000000000000000000−2i2i−2i2i00002i−2i2i−2i0000
χ45222-2-22-2-2222-2-222-222-2-20000-22-22-2000022-2-222-2-22-2-200220000000000000000000000000000000000002-22-200002-22-200000000
χ46222-2-22-2-2222-2-222-222-2-20000-22-22-2000022-2-222-2-22-2-20022000000000000000000000000000000000000-22-220000-22-2200000000
χ47222-2-22-2-2222-2-222-222-2-20000-22-22-20000-2-222-2-22222200-2-20000000000000000000000000000000000002-22-20000-22-2200000000
χ48222-2-22-2-2222-2-222-222-2-20000-22-22-20000-2-222-2-22222200-2-2000000000000000000000000000000000000-22-2200002-22-200000000
χ49222-2-22-2-2222-2-2-2-22-2-22-20000222-2-2000022-2-2-2-22222-200-2200000000000000000000000000000000000000002-2-2200002-2-220000
χ50222-2-22-2-2222-2-2-2-22-2-22-20000222-2-2000022-2-2-2-22222-200-220000000000000000000000000000000000000000-222-20000-222-20000
χ51222-2-22-2-2222-2-2-2-22-2-22-20000222-2-20000-2-22222-2-22-22002-200000000000000000000000000000000000000002-2-220000-222-20000
χ52222-2-22-2-2222-2-2-2-22-2-22-20000222-2-20000-2-22222-2-22-22002-20000000000000000000000000000000000000000-222-200002-2-220000
χ53222-2-22-2-2222-2-2-2-2-22-22200002-2-222000022-2-2-2-222-2-22002-20000000000000000000000000000000000002i−2i−2i2i00002i−2i−2i2i00000000
χ54222-2-22-2-2222-2-2-2-2-22-22200002-2-222000022-2-2-2-222-2-22002-2000000000000000000000000000000000000−2i2i2i−2i0000−2i2i2i−2i00000000
χ55222-2-22-2-2222-2-2-2-2-22-22200002-2-2220000-2-22222-2-2-22-200-220000000000000000000000000000000000002i−2i−2i2i0000−2i2i2i−2i00000000
χ56222-2-22-2-2222-2-2-2-2-22-22200002-2-2220000-2-22222-2-2-22-200-22000000000000000000000000000000000000−2i2i2i−2i00002i−2i−2i2i00000000
χ57222-2-22-2-22-2-222222-2-2-222-22-22-2-22-22-22-2000000002000000002-22-200000000000000002200-2-200002-22-200000000000000000000
χ58222-2-22-2-22-2-222222-2-2-222-22-22-2-22-22-22-2000000002000000002-22-20000000000000000-2-200220000-22-2200000000000000000000
χ59222-2-22-2-22-2-222222-2-2-22-22-222-2-22-2-22-2200000000200000000-22-2200000000000000002200-2-20000-22-2200000000000000000000
χ60222-2-22-2-22-2-222222-2-2-22-22-222-2-22-2-22-2200000000200000000-22-220000000000000000-2-2002200002-22-200000000000000000000
χ61222-2-22-2-22-2-22222-22-2-2-22-2-22222-222-2-2200000000-200000000-222-2000022220000000000-2-2002-22-2000000000000000000000000
χ62222-2-22-2-22-2-22222-22-2-2-22-2-22222-222-2-2200000000-200000000-222-20000-2-2-2-200000000002200-22-22000000000000000000000000
χ63222-2-22-2-22-2-22222-22-2-2-2-222-2222-22-222-200000000-2000000002-2-22000022220000000000-2-200-22-22000000000000000000000000
χ64222-2-22-2-22-2-22222-22-2-2-2-222-2222-22-222-200000000-2000000002-2-220000-2-2-2-2000000000022002-22-2000000000000000000000000
χ65222-2-22-2-22-2-222-2-22-222-22-2-22-22-2222-2-2200000000-2000000002-2-2200000000000000002i−2i00−2i2i00002i−2i−2i2i00000000000000000000
χ66222-2-22-2-22-2-222-2-22-222-22-2-22-22-2222-2-2200000000-2000000002-2-220000000000000000−2i2i002i−2i0000−2i2i2i−2i00000000000000000000
χ67222-2-22-2-22-2-222-2-22-222-2-222-2-22-222-222-200000000-200000000-222-200000000000000002i−2i00−2i2i0000−2i2i2i−2i00000000000000000000
χ68222-2-22-2-22-2-222-2-22-222-2-222-2-22-222-222-200000000-200000000-222-20000000000000000−2i2i002i−2i00002i−2i−2i2i00000000000000000000
χ69222-2-22-2-22-2-222-2-2-222222-22-2-2-22-2-22-22-200000000200000000-22-2200002i2i−2i−2i0000000000−2i2i002i−2i−2i2i000000000000000000000000
χ70222-2-22-2-22-2-222-2-2-222222-22-2-2-22-2-22-22-200000000200000000-22-220000−2i−2i2i2i00000000002i−2i00−2i2i2i−2i000000000000000000000000
χ71222-2-22-2-22-2-222-2-2-22222-22-22-2-22-2-2-22-22000000002000000002-22-200002i2i−2i−2i0000000000−2i2i00−2i2i2i−2i000000000000000000000000
χ72222-2-22-2-22-2-222-2-2-22222-22-22-2-22-2-2-22-22000000002000000002-22-20000−2i−2i2i2i00000000002i−2i002i−2i−2i2i000000000000000000000000
χ73444444444-4-4-4-44444-4440000-44-4-4-4000000000000-400000000000000000000000000000000000000000000000000000000000000
χ74444444444-4-4-4-444-4-4-44-40000-4-4444000000000000400000000000000000000000000000000000000000000000000000000000000
χ75444444444-4-4-4-4-4-4444-4-400004-4-4-44000000000000400000000000000000000000000000000000000000000000000000000000000
χ76444444444-4-4-4-4-4-4-4-44-4400004444-4000000000000-400000000000000000000000000000000000000000000000000000000000000
χ7744-44-4-44-444-44-4000000000440000000-4-44-44-400000000000000000004-40000000000000000000000000000000000000000000000
χ7844-44-4-44-444-44-4000000000440000000-4-4-44-440000000000000000000-440000000000000000000000000000000000000000000000
χ7944-44-4-44-444-44-4000000000-4-40000000444-44-40000000000000000000-440000000000000000000000000000000000000000000000
χ8044-44-4-44-444-44-4000000000-4-4000000044-44-4400000000000000000004-40000000000000000000000000000000000000000000000
χ8144-44-4-44-44-44-440000000440000000-4-40000004-44-400000000000004-4000000000000000000000000000000000000000000000000
χ8244-44-4-44-44-44-440000000440000000-4-4000000-44-440000000000000-44000000000000000000000000000000000000000000000000
χ8344-44-4-44-44-44-440000000-4-40000000440000004-44-40000000000000-44000000000000000000000000000000000000000000000000
χ8444-44-4-44-44-44-440000000-4-4000000044000000-44-4400000000000004-4000000000000000000000000000000000000000000000000
χ8544-4-44-4-4444-4-4400000004-40000000-44004-4-4400000004000-40000000000000000000000000000000000000000000000000000000
χ8644-4-44-4-4444-4-4400000004-40000000-4400-444-40000000-400040000000000000000000000000000000000000000000000000000000
χ8744-4-44-4-4444-4-440000000-4400000004-4004-4-440000000-400040000000000000000000000000000000000000000000000000000000
χ8844-4-44-4-4444-4-440000000-4400000004-400-444-400000004000-40000000000000000000000000000000000000000000000000000000
χ8944-4-44-4-444-444-40000000004-40000000-4400004-4-4400004000-4000000000000000000000000000000000000000000000000000000
χ9044-4-44-4-444-444-40000000004-40000000-440000-444-40000-40004000000000000000000000000000000000000000000000000000000
χ9144-4-44-4-444-444-4000000000-4400000004-400004-4-440000-40004000000000000000000000000000000000000000000000000000000
χ9244-4-44-4-444-444-4000000000-4400000004-40000-444-400004000-4000000000000000000000000000000000000000000000000000000
χ9388888-8-8-8-8000000000000000000000000000000000000000000000000000000000004i−4i0000000000000000000000000000000000
χ9488888-8-8-8-800000000000000000000000000000000000000000000000000000000000−4i4i0000000000000000000000000000000000
χ95888-8-8-888-80000000000000000000000000000000000000000000000000000000004-4000000000000000000000000000000000000
χ96888-8-8-888-8000000000000000000000000000000000000000000000000000000000-44000000000000000000000000000000000000
χ9788-88-88-88-8000000000000000000000000000000000000000000000000000004-40000000000000000000000000000000000000000
χ9888-88-88-88-800000000000000000000000000000000000000000000000000000-440000000000000000000000000000000000000000
χ9988-8-8888-8-800000000000000000000000000000000000000000000000000000004-400000000000000000000000000000000000000
χ10088-8-8888-8-80000000000000000000000000000000000000000000000000000000-4400000000000000000000000000000000000000
χ10116-16000000000008-800000000000000000000000000000000000000000004i−4i4i−4i000000000000000000000000000000000000000000
χ10216-16000000000008-80000000000000000000000000000000000000000000−4i4i−4i4i000000000000000000000000000000000000000000
χ10316-1600000000000-8800000000000000000000000000000000000000000004-4-44000000000000000000000000000000000000000000
χ10416-1600000000000-880000000000000000000000000000000000000000000-444-4000000000000000000000000000000000000000000

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