Finite Group Databasebeta

← Group #72265923

Character table — Group #72265923

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1122222224444444444444444888888888888881616161616161616161616161616161616161616323232323232323232323232323232323232323232323232646464646464646464646464
order12222222222222222222244442222222222224422224444444444444444244444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ7111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111
χ91111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i11-1-1
χ101111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-1
χ111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-1-111
χ121111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-1-111
χ131111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii-1-111
χ141111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i-1-111
χ151111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i11-1-1
χ161111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii11-1-1
χ172222222222222222222222222-2-2-2-22222-2-2-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ182222222222222222222222222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000
χ19222222222222222222222-2-2-2-222-2-2-2-2-2-222-2-2-2-200002-22-2000000000000000000000000000022-2-222-2-2000000000000
χ20222222222222222222222-2-2-2-222-2-2-2-2-2-222-2-2-2-200002-22-20000000000000000000000000000-2-222-2-222000000000000
χ21222222222222222222222-2-2-2-2-2-222-2-2-2-2-2-222-2-20000-22-220000000000000000000022-2-222-2-200000000000000000000
χ22222222222222222222222-2-2-2-2-2-222-2-2-2-2-2-222-2-20000-22-2200000000000000000000-2-222-2-22200000000000000000000
χ232222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-22222000000000000000000000000000000000000
χ242222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222222-2-222-2-222-2-2222222-2-2-2-2000000000000000000000000000000000000
χ252222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-222-2-200002-2-2200000000000000000000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ262222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-222-2-200002-2-220000000000000000000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ272222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-20000-222-2000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ282222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-20000-222-200000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ29222222222-2-2-2-222-2-222-2-22222222222-2-222-2-2-2-20000-2-2-2200000000000022-2-222-2-20000000000000000000000000000
χ30222222222-2-2-2-222-2-222-2-22222222222-2-222-2-2-2-20000-2-2-22000000000000-2-222-2-2220000000000000000000000000000
χ31222222222-2-2-2-222-2-222-2-22222-2-2-2-222-2-2-2-222-2-20000222-2000000000000000000000000000000000000000000002-22-2
χ32222222222-2-2-2-222-2-222-2-22222-2-2-2-222-2-2-2-222-2-20000222-200000000000000000000000000000000000000000000-22-22
χ33222222222-2-2-2-222-2-222-2-2-2-2-2-222-2-2-2-2222222220000-22-2-200000000000000000000000000000000000000002-22-20000
χ34222222222-2-2-2-222-2-222-2-2-2-2-2-222-2-2-2-2222222220000-22-2-20000000000000000000000000000000000000000-22-220000
χ35222222222-2-2-2-222-2-222-2-2-2-2-2-2-2-222-2-222-2-2-2-22200002-2220000000000000000000000000000000000002i−2i2i−2i00000000
χ36222222222-2-2-2-222-2-222-2-2-2-2-2-2-2-222-2-222-2-2-2-22200002-222000000000000000000000000000000000000−2i2i−2i2i00000000
χ37222222222-2-2-2-2-2-222-2-22222222222-2-222-2-222-2-20000-2-22-200000000000022-2-2-2-2220000000000000000000000000000
χ38222222222-2-2-2-2-2-222-2-22222222222-2-222-2-222-2-20000-2-22-2000000000000-2-22222-2-20000000000000000000000000000
χ39222222222-2-2-2-2-2-222-2-2222222-2-2-2-2-2-22222-2-2-2-2000022-22000000000000000000000000000000000000000000002-2-22
χ40222222222-2-2-2-2-2-222-2-2222222-2-2-2-2-2-22222-2-2-2-2000022-2200000000000000000000000000000000000000000000-222-2
χ41222222222-2-2-2-2-2-222-2-222-2-2-2-222-2-222-2-2-2-2-2-2220000-222200000000000000000000000000000000000000002i−2i−2i2i0000
χ42222222222-2-2-2-2-2-222-2-222-2-2-2-222-2-222-2-2-2-2-2-2220000-22220000000000000000000000000000000000000000−2i2i2i−2i0000
χ43222222222-2-2-2-2-2-222-2-222-2-2-2-2-2-22222-2-222222200002-2-2-20000000000000000000000000000000000002-2-2200000000
χ44222222222-2-2-2-2-2-222-2-222-2-2-2-2-2-22222-2-222222200002-2-2-2000000000000000000000000000000000000-222-200000000
χ454444-44-4-4-40000004400-4-444-4-40000004-400000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ464444-44-4-4-40000004400-4-444-4-40000004-40000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ474444-44-4-4-40000004400-4-4-4-444000000-4400000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ484444-44-4-4-40000004400-4-4-4-444000000-440000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ494444-44-4-4-4000000-4-4004444-4-4000000-4400000000000000000000000000000000002-22-2-22-2200000000000000000000
χ504444-44-4-4-4000000-4-4004444-4-4000000-440000000000000000000000000000000000-22-222-22-200000000000000000000
χ514444-44-4-4-4000000-4-40044-4-4440000004-400000000000000000000000000000000002-2-22-222-200000000000000000000
χ524444-44-4-4-4000000-4-40044-4-4440000004-40000000000000000000000000000000000-222-22-2-2200000000000000000000
χ53444-44-44-4-400004400-4-4004-44-400004-4000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000
χ54444-44-44-4-400004400-4-4004-44-400004-400000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ55444-44-44-4-400004400-4-400-44-440000-44000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ56444-44-44-4-400004400-4-400-44-440000-4400000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ57444-44-44-4-40000-4-40044004-44-40000-44000000000000000000000000000000000000000000002-22-2-22-22000000000000
χ58444-44-44-4-40000-4-40044004-44-40000-4400000000000000000000000000000000000000000000-22-222-22-2000000000000
χ59444-44-44-4-40000-4-4004400-44-4400004-4000000000000000000000000000000000000000000002-2-22-222-2000000000000
χ60444-44-44-4-40000-4-4004400-44-4400004-400000000000000000000000000000000000000000000-222-22-2-22000000000000
χ61444-4-4-4-44444-4-4000000004-4-440000000000004-400000000000044-4-40000000000000000000000000000000000000000
χ62444-4-4-4-44444-4-4000000004-4-440000000000004-4000000000000-4-4440000000000000000000000000000000000000000
χ63444-4-4-4-44444-4-400000000-444-4000000000000-44000000000000000044-4-4000000000000000000000000000000000000
χ64444-4-4-4-44444-4-400000000-444-4000000000000-440000000000000000-4-444000000000000000000000000000000000000
χ65444-4-4-4-444-4-444000000004-4-44000000000000-4444000000-4-40000000000000000000000000000000000000000000000
χ66444-4-4-4-444-4-444000000004-4-44000000000000-44-4-4000000440000000000000000000000000000000000000000000000
χ67444-4-4-4-444-4-44400000000-444-40000000000004-40044000000-4-400000000000000000000000000000000000000000000
χ68444-4-4-4-444-4-44400000000-444-40000000000004-400-4-40000004400000000000000000000000000000000000000000000
χ6944-44-4-44-4400004-4004-40000004-40000004-400002-22-200002-22-22-22-22-22-2000000000000000000000000000000000000
χ7044-44-4-44-4400004-4004-40000004-40000004-40000-22-220000-22-22-22-22-22-22000000000000000000000000000000000000
χ7144-44-4-44-4400004-4004-4000000-44000000-4400002-22-200002-22-2-22-22-22-22000000000000000000000000000000000000
χ7244-44-4-44-4400004-4004-4000000-44000000-440000-22-220000-22-222-22-22-22-2000000000000000000000000000000000000
χ7344-44-4-44-440000-4400-440000004-4000000-4400002-2-2200002-2-222-22-2-22-22000000000000000000000000000000000000
χ7444-44-4-44-440000-4400-440000004-4000000-440000-222-20000-222-2-22-222-22-2000000000000000000000000000000000000
χ7544-44-4-44-440000-4400-44000000-440000004-400002-2-2200002-2-22-22-222-22-2000000000000000000000000000000000000
χ7644-44-4-44-440000-4400-44000000-440000004-40000-222-20000-222-22-22-2-22-22000000000000000000000000000000000000
χ7744-4-444-4-440000004-4004-40000004-40000004-4002-22-20000-22-222-2-222-2-22000000000000000000000000000000000000
χ7844-4-444-4-440000004-4004-40000004-40000004-400-22-2200002-22-2-222-2-222-2000000000000000000000000000000000000
χ7944-4-444-4-440000004-4004-4000000-44000000-44002-22-20000-22-22-222-2-222-2000000000000000000000000000000000000
χ8044-4-444-4-440000004-4004-4000000-44000000-4400-22-2200002-22-22-2-222-2-22000000000000000000000000000000000000
χ8144-4-444-4-44000000-4400-440000004-4000000-44002-2-220000-222-22-2-22-222-2000000000000000000000000000000000000
χ8244-4-444-4-44000000-4400-440000004-4000000-4400-222-200002-2-22-222-22-2-22000000000000000000000000000000000000
χ8344-4-444-4-44000000-4400-44000000-440000004-4002-2-220000-222-2-222-22-2-22000000000000000000000000000000000000
χ8444-4-444-4-44000000-4400-44000000-440000004-400-222-200002-2-222-2-22-222-2000000000000000000000000000000000000
χ8544-4-4-4444-44-44-44-44-4-44-44000000000000000000000000000000000000002-22-22-22-20000000000000000000000000000
χ8644-4-4-4444-44-44-44-44-4-44-4400000000000000000000000000000000000000-22-22-22-220000000000000000000000000000
χ8744-4-4-4444-44-44-4-44-444-44-4000000000000000000000000000000000000002-22-2-22-220000000000000000000000000000
χ8844-4-4-4444-44-44-4-44-444-44-400000000000000000000000000000000000000-22-222-22-20000000000000000000000000000
χ8944-4-4-4444-4-44-444-4-44-444-4000000000000000000000000000000000000002-2-222-2-220000000000000000000000000000
χ9044-4-4-4444-4-44-444-4-44-444-400000000000000000000000000000000000000-222-2-222-20000000000000000000000000000
χ9144-4-4-4444-4-44-44-444-44-4-44000000000000000000000000000000000000002-2-22-222-20000000000000000000000000000
χ9244-4-4-4444-4-44-44-444-44-4-4400000000000000000000000000000000000000-222-22-2-220000000000000000000000000000
χ9388-888-8-88-88-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9488-888-8-88-8-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9532-32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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