Finite Group Databasebeta

← Group #72340859

Character table — Group #72340859

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11222222244444444444444888888888888888888888888888161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232326464646464646464
order12222444422222222444444222222222224444444444444444222222224444442444444444444444444444448888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1ii−i−iii−i−i
χ611111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−iii−i−iii
χ711111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−iii−i−iii
χ811111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111ii−i−iii−i−i
χ911111111111111-1-11111-1-11-1-1-11111111111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-11-11-1
χ1011111111111111-1-11111-1-11-1-1-11111111111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-11-11-11
χ1111111111111111-1-11111-1-11-1-1-11111111111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111-11-11-11-11
χ1211111111111111-1-11111-1-11-1-1-11111111111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1111-11-11-11-1
χ1311111111111111-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111i−i−iii−i−ii
χ1411111111111111-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−iii−i−iii−i
χ1511111111111111-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−iii−i−iii−i
χ1611111111111111-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1i−i−iii−i−ii
χ171111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-111111111ii−i−iii−i−iii−i−iii−i−i-1-1-1-1-1-1-1-1ii−i−i−i−iii
χ181111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-111111111−i−iii−i−iii−i−iii−i−iii-1-1-1-1-1-1-1-1−i−iiiii−i−i
χ191111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11111111−i−iiiii−i−i
χ201111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii11111111ii−i−i−i−iii
χ211111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1
χ221111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ231111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ241111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ251111111111-1-1-1-1-1-11111-1-11-1111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii-1-111-1-111i−i−ii−iii−i
χ261111111111-1-1-1-1-1-11111-1-11-1111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i-1-111-1-111−iii−ii−i−ii
χ271111111111-1-1-1-1-1-11111-1-11-1111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii11-1-111-1-1−iii−ii−i−ii
χ281111111111-1-1-1-1-1-11111-1-11-1111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i11-1-111-1-1i−i−ii−iii−i
χ291111111111-1-1-1-1-1-11111-1-11-111-1-1-1-11111-1-1-1-11111111-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-11-11-1-11-11
χ301111111111-1-1-1-1-1-11111-1-11-111-1-1-1-11111-1-1-1-11111111-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-11-111-11-1
χ311111111111-1-1-1-1-1-11111-1-11-111-1-1-1-11111-1-1-1-11111111-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-11-111-11-1
χ321111111111-1-1-1-1-1-11111-1-11-111-1-1-1-11111-1-1-1-11111111-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1111-11-1-11-11
χ33222222222222222222-2-2-2-222222222-2-22222222222-2-2-2-2-2-2-2-2-2-222-2-22-22-2-2-2-2-20000000000000000000000000000000000000000
χ34222222222222222222-2-2-2-22222-2-2-2-222-2-2222222-2-2-2-2-2-2-2-22222-2-222-22-22-2-2-2-20000000000000000000000000000000000000000
χ3522222222222222-2-222-2-2222-2-2-22222-2-22222-2-2-2-222-2-2-2222-2-2-2-2-2-222-22-22-2-2220000000000000000000000000000000000000000
χ3622222222222222-2-222-2-2222-2-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2222222222-2-22-22-2-2-2220000000000000000000000000000000000000000
χ372222222222-2-2-2-22222-2-2-2-222-2-2222222-2-2-2-222-2-2-2-2-2-2-2-2-2-222-2-222-2-2-22-2222220000000000000000000000000000000000000000
χ382222222222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-222-2-222-2-222-2-2-2-2-2-2-2-222-2-2222-22-222220000000000000000000000000000000000000000
χ392222222222-2-2-2-2-2-222-2-2222-222222222-2-2-2-2-2-222-2-2-2-2-222222-2-2-2-2222-22-222-2-20000000000000000000000000000000000000000
χ402222222222-2-2-2-2-2-222-2-2222-222-2-2-2-2-2-222-2-2-2-22222-2-2-2222-2-22222-2-2-22-2222-2-20000000000000000000000000000000000000000
χ4122222-2-2-2-2-2000022-2222222-20000002222002-200-2-22-2-22-2-2-2-200000022-2-20000000000002-2002-200002-2002-20000000000000000
χ4222222-2-2-2-2-2000022-2222222-20000002222002-200-2-22-2-22-2-2-2-200000022-2-2000000000000-2200-220000-2200-220000000000000000
χ4322222-2-2-2-2-2000022-2222222-2000000-2-2-2-2002-200222-2-22-2-222000000-2-2220000000000002i−2i002i−2i0000−2i2i00−2i2i0000000000000000
χ4422222-2-2-2-2-2000022-2222222-2000000-2-2-2-2002-200222-2-22-2-222000000-2-222000000000000−2i2i00−2i2i00002i−2i002i−2i0000000000000000
χ4522222-2-2-2-2-2000022-22-2-2-2-22-200000022-2-2002-20022-222-222-2-2000000-222-2000000000000002i−2i002i−2i2i−2i002i−2i000000000000000000
χ4622222-2-2-2-2-2000022-22-2-2-2-22-200000022-2-2002-20022-222-222-2-2000000-222-200000000000000−2i2i00−2i2i−2i2i00−2i2i000000000000000000
χ4722222-2-2-2-2-2000022-22-2-2-2-22-2000000-2-222002-200-2-2-222-222220000002-2-22000000000000002-2002-2-2200-22000000000000000000
χ4822222-2-2-2-2-2000022-22-2-2-2-22-2000000-2-222002-200-2-2-222-222220000002-2-2200000000000000-2200-222-2002-2000000000000000000
χ4922222-2-2-2-2-20000-2-2-2222-2-222000000222200-2200-2-22-2-2-222-2-2000000-2-2220000000000002-200-2200002-200-220000000000000000
χ5022222-2-2-2-2-20000-2-2-2222-2-222000000222200-2200-2-22-2-2-222-2-2000000-2-222000000000000-22002-20000-22002-20000000000000000
χ5122222-2-2-2-2-20000-2-2-2222-2-222000000-2-2-2-200-2200222-2-2-2222200000022-2-20000000000002i−2i00−2i2i0000−2i2i002i−2i0000000000000000
χ5222222-2-2-2-2-20000-2-2-2222-2-222000000-2-2-2-200-2200222-2-2-2222200000022-2-2000000000000−2i2i002i−2i00002i−2i00−2i2i0000000000000000
χ5322222-2-2-2-2-20000-2-2-22-2-2222200000022-2-200-220022-2222-2-2-2-20000002-2-22000000000000002i−2i00−2i2i2i−2i00−2i2i000000000000000000
χ5422222-2-2-2-2-20000-2-2-22-2-2222200000022-2-200-220022-2222-2-2-2-20000002-2-2200000000000000−2i2i002i−2i−2i2i002i−2i000000000000000000
χ5522222-2-2-2-2-20000-2-2-22-2-22222000000-2-22200-2200-2-2-2222-2-222000000-222-2000000000000002-200-22-22002-2000000000000000000
χ5622222-2-2-2-2-20000-2-2-22-2-22222000000-2-22200-2200-2-2-2222-2-222000000-222-200000000000000-22002-22-200-22000000000000000000
χ5722-2-22-2-222-222-2-2002-22200200022-2-22-22-22-200002-2-22-20002-22-2000000002-2002-2002-20000000000000000002-2002-20000000000
χ5822-2-22-2-222-222-2-2002-22200200022-2-22-22-22-200002-2-22-20002-22-2000000002-200-2200-22000000000000000000-2200-220000000000
χ5922-2-22-2-222-222-2-2002-222002000-2-222-22-222-20000-22-22-2000-22-22000000002-2002-200-220000000000000000002-200-220000000000
χ6022-2-22-2-222-222-2-2002-222002000-2-222-22-222-20000-22-22-2000-22-22000000002-200-22002-2000000000000000000-22002-20000000000
χ6122-2-22-2-222-222-2-2002-2-2-200200022-2-2-222-22-200002-22-22000-22-2200000000-2200002-2002-20000000000000000002-2002-200000000
χ6222-2-22-2-222-222-2-2002-2-2-200200022-2-2-222-22-200002-22-22000-22-2200000000-220000-2200-22000000000000000000-2200-2200000000
χ6322-2-22-2-222-222-2-2002-2-2-2002000-2-2222-2-222-20000-222-220002-22-200000000-2200002-200-220000000000000000002-200-2200000000
χ6422-2-22-2-222-222-2-2002-2-2-2002000-2-2222-2-222-20000-222-220002-22-200000000-220000-22002-2000000000000000000-22002-200000000
χ6522-2-22-2-222-2-2-222002-22200200022-2-2-22-22-220000-22-22-2000-222-200000000-22002-2002-2000000000000000000-2200-220000000000
χ6622-2-22-2-222-2-2-222002-22200200022-2-2-22-22-220000-22-22-2000-222-200000000-2200-2200-220000000000000000002-2002-20000000000
χ6722-2-22-2-222-2-2-222002-222002000-2-2222-22-2-2200002-2-22-20002-2-2200000000-22002-200-22000000000000000000-22002-20000000000
χ6822-2-22-2-222-2-2-222002-222002000-2-2222-22-2-2200002-2-22-20002-2-2200000000-2200-22002-20000000000000000002-200-220000000000
χ6922-2-22-2-222-2-2-222002-2-2-200200022-2-22-2-22-220000-222-220002-2-22000000002-200002-2002-2000000000000000000-2200-2200000000
χ7022-2-22-2-222-2-2-222002-2-2-200200022-2-22-2-22-220000-222-220002-2-22000000002-20000-2200-220000000000000000002-2002-200000000
χ7122-2-22-2-222-2-2-222002-2-2-2002000-2-222-222-2-2200002-22-22000-222-2000000002-200002-200-22000000000000000000-22002-200000000
χ7222-2-22-2-222-2-2-222002-2-2-2002000-2-222-222-2-2200002-22-22000-222-2000000002-20000-22002-20000000000000000002-200-2200000000
χ73444444444-4444444-4-40000-4-44400000000-4-4-44-4-40000000000000000000000000000000000000000000000000000000000000000
χ74444444444-44444-4-4-4-40000-44-4-400000000-4-44-4440000000000000000000000000000000000000000000000000000000000000000
χ75444444444-4-4-4-4-444-4-40000-4-4-4-40000000044-44440000000000000000000000000000000000000000000000000000000000000000
χ76444444444-4-4-4-4-4-4-4-4-40000-444400000000444-4-4-40000000000000000000000000000000000000000000000000000000000000000
χ7744444-4-4-4-440000444-40000-44004-44-4000000-4-4000000000000004-400000000000000000000000000000000000000000000000000
χ7844444-4-4-4-440000444-40000-4400-44-44000000-4-400000000000000-4400000000000000000000000000000000000000000000000000
χ7944444-4-4-4-440000-4-44-40000-4-4004-44-40000004400000000000000-4400000000000000000000000000000000000000000000000000
χ8044444-4-4-4-440000-4-44-40000-4-400-44-4400000044000000000000004-400000000000000000000000000000000000000000000000000
χ8144-4-4444-4-44000000-4-44400400000004-44-4000000-44-4-44000-44000000000000000000000000000000000000000000000000000000
χ8244-4-4444-4-44000000-4-4440040000000-44-440000004-4-4-440004-4000000000000000000000000000000000000000000000000000000
χ8344-4-4444-4-44000000-4-4-4-400400000004-4-440000004-444-4000-44000000000000000000000000000000000000000000000000000000
χ8444-4-4444-4-44000000-4-4-4-40040000000-444-4000000-4444-40004-4000000000000000000000000000000000000000000000000000000
χ8544-4-4444-4-4-4000000440044-40004-4-44000000000000000-44-40000004-4000000000000000000000000000000000000000000000000
χ8644-4-4444-4-4-4000000440044-4000-444-4000000000000000-44-4000000-44000000000000000000000000000000000000000000000000
χ8744-4-4444-4-4-40000004400-4-4-40004-4-440000000000000004-44000000-44000000000000000000000000000000000000000000000000
χ8844-4-4444-4-4-40000004400-4-4-4000-444-40000000000000004-440000004-4000000000000000000000000000000000000000000000000
χ8944-4-44-4-444444-4-400-440044-400000000000-44000000000-4-44000000000000004-40000000000000000000000000000000000000000
χ9044-4-44-4-444444-4-400-4400-4-4-400000000000-4400000000044-400000000000000-440000000000000000000000000000000000000000
χ9144-4-44-4-4444-4-44400-440044-4000000000004-4000000000-4-4400000000000000-440000000000000000000000000000000000000000
χ9244-4-44-4-4444-4-44400-4400-4-4-4000000000004-400000000044-4000000000000004-40000000000000000000000000000000000000000
χ93888-8-88-88-8000000000000000000000000000008-80000000000000000000000000000000000000000000000000000000000000000
χ94888-8-88-88-800000000000000000000000000000-880000000000000000000000000000000000000000000000000000000000000000
χ95888-8-8-88-8808-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ96888-8-8-88-880-88-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9788-88-88-8-8808-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-88-88-8-880-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-88-8-888-80000000000000008-8000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-88-8-888-8000000000000000-88000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10116-160000000000008-8008-88-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10216-160000000000008-800-88-880000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10316-16000000000000-88008-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10416-16000000000000-8800-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000

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