Finite Group Databasebeta

← Group #72310290

Character table — Group #72310290

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11222222244444444444444888888888888888888888888888161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222222222224444444444222444444444444444444444444444444444444444444444448888
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
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111-1-1-1-11111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111-1-1-1-11111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111111111111-1-1-1-11111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111-1-1-1-11111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111111111-1-11111-1-111111-1-1-1-1-11111-1-1-111111111-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ10111111111111111-1-11111-1-111111-1-1-1-1-11111-1-1-111111111-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ11111111111111111-1-11111-1-111111-1-1-1-1-11111-1-1-111111111-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ12111111111111111-1-11111-1-111111-1-1-1-1-11111-1-1-111111111-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ13111111111111111-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ14111111111111111-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ15111111111111111-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ16111111111111111-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ17111111111-1-1-1-1-1-1111111-1-111-1-1-1111-1-11111-1-1-111-1-11111-1-11-1-11-1-11111-1-1-1-111-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ18111111111-1-1-1-1-1-1111111-1-111-1-1-1111-1-11111-1-1-111-1-11111-1-11-1-11-1-11111-1-1-1-111-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ19111111111-1-1-1-1-1-1111111-1-111-1-1-1111-1-11111-1-1-111-1-11111-1-11-1-11-1-11111-1-1-1-1-1-111-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ20111111111-1-1-1-1-1-1111111-1-111-1-1-1111-1-11111-1-1-111-1-11111-1-11-1-11-1-11111-1-1-1-1-1-111-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ21111111111-1-1-1-1-1-1111111-1-111-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ22111111111-1-1-1-1-1-1111111-1-111-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ23111111111-1-1-1-1-1-1111111-1-111-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-11111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ24111111111-1-1-1-1-1-1111111-1-111-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-11111-1-111-1-1−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ25111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-11
χ26111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1-111-1
χ27111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-111-1-111-1
χ28111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-111-1-11
χ29111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-111-111-1111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-11-1-11-111-1
χ30111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-111-111-1111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-111-11-1-11
χ31111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-111-111-1111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-11-1-11
χ32111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-111-111-1111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1111-1-11-111-1
χ3322222222222222222222222-2-22-2-22222222-2-2-2-22-2-2-2-222-2-2-2-2-22-2-22-222-2-222-2-20000000000000000000000000000000000000000
χ3422222222222222222222222-2-22-2-222222-2-222-2-22-2-2-2-2-2-222-2-2-2-22-2-22-2-222-2-2220000000000000000000000000000000000000000
χ35222222222222222-2-22222-2-2-2-22-2-2-2-2-2-2-222-2-222-2-2-2-2-222-2-22222-222-2-2-222-2-2220000000000000000000000000000000000000000
χ36222222222222222-2-22222-2-2-2-22-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-222222-222-2222-2-222-2-20000000000000000000000000000000000000000
χ372222222222222-2-222-2-2-2-2-2-222-2-2-22-2-22-20000-2-22-2-222000022200-20000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ382222222222222-2-222-2-2-2-2-2-222-2-2-22-2-22-20000-2-22-2-222000022200-2000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ392222222222222-2-222-2-2-2-2-2-2-2-2-2222-2-22-2000022222-2-20000-2-2-200200000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ402222222222222-2-222-2-2-2-2-2-2-2-2-2222-2-22-2000022222-2-20000-2-2-20020000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ412222222222222-2-2-2-2-2-2-2-22222-2-2-2-222-22000022-2-2-2220000-2-2-20020000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ422222222222222-2-2-2-2-2-2-2-22222-2-2-2-222-22000022-2-2-2220000-2-2-2002000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ432222222222222-2-2-2-2-2-2-2-222-2-2-222-222-220000-2-2-222-2-2000022200-200000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ442222222222222-2-2-2-2-2-2-2-222-2-2-222-222-220000-2-2-222-2-2000022200-20000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ45222222222-2-2-2-22222-2-2-2-222222222-2-2-22000022-2-2-2-2-20000-2-2200-20000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ46222222222-2-2-2-22222-2-2-2-222222222-2-2-22000022-2-2-2-2-20000-2-2200-2000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ47222222222-2-2-2-22222-2-2-2-222-2-22-2-22-2-2-220000-2-2-22222000022-200200000000002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ48222222222-2-2-2-22222-2-2-2-222-2-22-2-22-2-2-220000-2-2-22222000022-20020000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ49222222222-2-2-2-222-2-2-2-2-2-2-2-222222-2222-20000-2-22-2-2-2-2000022-20020000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ50222222222-2-2-2-222-2-2-2-2-2-2-2-222222-2222-20000-2-22-2-2-2-2000022-2002000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ51222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-22-2-2-2222-2000022222220000-2-2200-200000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ52222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-22-2-2-2222-2000022222220000-2-2200-20000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ53222222222-2-2-2-2-2-2222222-2-2-2-2-222222-2-222-2-222-2-2-22222-2-222-2-22-2-2222-2-2-2-2220000000000000000000000000000000000000000
χ54222222222-2-2-2-2-2-2222222-2-2-2-2-222222-2-2-2-22222-2-2-222-2-22222-22-2-22-2-2-22222-2-20000000000000000000000000000000000000000
χ55222222222-2-2-2-2-2-2-2-2222222-2-2-222-2-2-22222-2-2-2-22-2-22222-2-2-2-22-222-22-2-22222-2-20000000000000000000000000000000000000000
χ56222222222-2-2-2-2-2-2-2-2222222-2-2-222-2-2-222-2-222-2-22-2-222-2-222-2-222-222-222-2-2-2-2220000000000000000000000000000000000000000
χ572222-2-2-2-220000000022-2-2222-2000000-2-22-22-22-222-2002-22-22-200000000002-22-20000000000000000002-22-200002-22-20000000000
χ582222-2-2-2-220000000022-2-2222-2000000-2-22-22-22-222-2002-22-22-200000000002-22-2000000000000000000-22-220000-22-220000000000
χ592222-2-2-2-220000000022-2-2222-2000000-2-2-22-222-222-200-22-222-20000000000-22-220000000000000000002-22-20000-22-220000000000
χ602222-2-2-2-220000000022-2-2222-2000000-2-2-22-222-222-200-22-222-20000000000-22-22000000000000000000-22-2200002-22-20000000000
χ612222-2-2-2-220000000022-2-222-22000000-2-22-2-22-222-22002-2-22-2200000000002-2-2200000000000000002-200002-22-200002-200000000
χ622222-2-2-2-220000000022-2-222-22000000-2-22-2-22-222-22002-2-22-2200000000002-2-220000000000000000-220000-22-220000-2200000000
χ632222-2-2-2-220000000022-2-222-22000000-2-2-222-2-222-2200-222-2-220000000000-222-200000000000000002-200002-2-220000-2200000000
χ642222-2-2-2-220000000022-2-222-22000000-2-2-222-2-222-2200-222-2-220000000000-222-20000000000000000-220000-222-200002-200000000
χ652222-2-2-2-220000000022-2-2-2-22-2000000222-22-2-22-22-2002-22-2-220000000000-22-220000000000000000002i−2i−2i2i00002i−2i−2i2i0000000000
χ662222-2-2-2-220000000022-2-2-2-22-2000000222-22-2-22-22-2002-22-2-220000000000-22-22000000000000000000−2i2i2i−2i0000−2i2i2i−2i0000000000
χ672222-2-2-2-220000000022-2-2-2-22-200000022-22-22-22-22-200-22-22-2200000000002-22-20000000000000000002i−2i−2i2i0000−2i2i2i−2i0000000000
χ682222-2-2-2-220000000022-2-2-2-22-200000022-22-22-22-22-200-22-22-2200000000002-22-2000000000000000000−2i2i2i−2i00002i−2i−2i2i0000000000
χ692222-2-2-2-220000000022-2-2-2-2-22000000222-2-222-2-2-22002-2-222-20000000000-222-200000000000000002i−2i0000−2i2i2i−2i0000−2i2i00000000
χ702222-2-2-2-220000000022-2-2-2-2-22000000222-2-222-2-2-22002-2-222-20000000000-222-20000000000000000−2i2i00002i−2i−2i2i00002i−2i00000000
χ712222-2-2-2-220000000022-2-2-2-2-2200000022-222-22-2-2-2200-222-22-200000000002-2-2200000000000000002i−2i0000−2i2i−2i2i00002i−2i00000000
χ722222-2-2-2-220000000022-2-2-2-2-2200000022-222-22-2-2-2200-222-22-200000000002-2-220000000000000000−2i2i00002i−2i2i−2i0000−2i2i00000000
χ734444-4-4-4-4400000000-4-444444-40000004-400004-4-4-44000000-44000000000000000000000000000000000000000000000000000000
χ744444-4-4-4-4400000000-4-44444-440000004-40000-44-44-40000004-4000000000000000000000000000000000000000000000000000000
χ754444-4-4-4-4400000000-4-444-4-44-4000000-440000-444-440000004-4000000000000000000000000000000000000000000000000000000
χ764444-4-4-4-4400000000-4-444-4-4-44000000-4400004-444-4000000-44000000000000000000000000000000000000000000000000000000
χ7744-4-444-4-44000000444-44-40000000-44-400004-4000000000-4400000000004-400000000000000000000000000000000000000000000
χ7844-4-444-4-44000000444-44-40000000-44-40000-440000000004-40000000000-4400000000000000000000000000000000000000000000
χ7944-4-444-4-4400000044-44-440000000-4-44004-4000000000-4400000000004-40000000000000000000000000000000000000000000000
χ8044-4-444-4-4400000044-44-440000000-4-4400-440000000004-40000000000-440000000000000000000000000000000000000000000000
χ8144-4-444-4-44000000-4-44-44-400000004-4400004-4000000000-440000000000-4400000000000000000000000000000000000000000000
χ8244-4-444-4-44000000-4-44-44-400000004-440000-440000000004-400000000004-400000000000000000000000000000000000000000000
χ8344-4-444-4-44000000-4-4-44-44000000044-4004-4000000000-440000000000-440000000000000000000000000000000000000000000000
χ8444-4-444-4-44000000-4-4-44-44000000044-400-440000000004-400000000004-40000000000000000000000000000000000000000000000
χ8544-4-4-4-444444-4-444004-4-440000-400000000044000000000-4-40000400-4000000000000000000000000000000000000000000000000
χ8644-4-4-4-444444-4-444004-4-440000-4000000000-4-4000000000440000-4004000000000000000000000000000000000000000000000000
χ8744-4-4-4-444444-4-4-4-400-444-400004000000044000000000-4-400000-40040000000000000000000000000000000000000000000000000
χ8844-4-4-4-444444-4-4-4-400-444-4000040000000-4-40000000004400000400-40000000000000000000000000000000000000000000000000
χ8944-4-4-4-4444-4-4444400-444-40000-4000000044000000000-4-400000400-40000000000000000000000000000000000000000000000000
χ9044-4-4-4-4444-4-4444400-444-40000-40000000-4-40000000004400000-40040000000000000000000000000000000000000000000000000
χ9144-4-4-4-4444-4-444-4-4004-4-440000400000000044000000000-4-40000-4004000000000000000000000000000000000000000000000000
χ9244-4-4-4-4444-4-444-4-4004-4-4400004000000000-4-4000000000440000400-4000000000000000000000000000000000000000000000000
χ93888-88-88-8-80000000000000000000000000000000008-8000000000000000000000000000000000000000000000000000000000000
χ94888-88-88-8-8000000000000000000000000000000000-88000000000000000000000000000000000000000000000000000000000000
χ95888-8-88-88-88-88-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ96888-8-88-88-8-88-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9788-888-8-88-88-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-888-8-88-8-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-88-888-8-8000000000000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-88-888-8-800000000000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000
χ10116-16000000000008-88-800008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10216-16000000000008-8-880000-88000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10316-1600000000000-888-80000-88000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10416-1600000000000-88-8800008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000

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