Finite Group Databasebeta

← Group #6348277

Character table — Group #6348277

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111122222222222222222222444444444444444444444444444488888888888888888888888888881616161616161616
order12224444222244444444444444442224444444448888888888888888222444444444444444448888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111-1-11-1-11-1-1-1-111111111111111111-111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111-1-11-1-11-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ711111111111111111111111111111-1-11-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ811111111111111111111111111111-1-11-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111
χ91111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-111-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11-111-11-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1111-1-1-1-11-1-1-1-1-1-1-1-11111111111-111-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ121111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1111-1-1-1-11-1-1-1-1-1-1-1-1111111111-111-11-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ131111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-11-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ141111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ151111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-11-1-11-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ161111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11-1-1111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ171111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1111-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1111-1-11-11-11-111-1-111-1-111-1-111-1-11-11-11-11-1
χ181111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1111-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-1-11111-1-11-11-1-111-1-11111-1-111-1-1-11-11-11-11
χ191111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1111-1-1-111-1-11-1-1-1-11111-1-1-1-11111-1111-1-11-11-11-111-1-111-1-1-1-111-1-111-11-11-11-11
χ201111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1111-1-1-111-1-11-1-1-1-11111-1-1-1-11111-1-1-11111-1-11-11-1-111-1-111-1-111-1-1111-11-11-11-1
χ211111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-11111111-1-1-1-11111-1-1-1-1111-1-1-1-111-11-1-1-111-1-111-1-111-1-111-11-111-11-1
χ221111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-11111111-1-1-1-11111-1-1-1-11-1-1-111-11-11-1111-1-111-1-1-1-111-1-1111-11-1-11-11
χ231111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-1111-1-1-1-11111-1-1-1-11111111-1-1-1-111-11-1-1-111-1-11111-1-111-1-11-11-1-11-11
χ241111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-1111-1-1-1-11111-1-1-1-111111-1-1-111-11-11-1111-1-111-1-111-1-111-1-1-11-111-11-1
χ251111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-11-11-111-1-1111-1-1-1-11111-1-1-1-1111-1-111-1-11
χ261111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1111-1-11-111-1-1-11111-1-111-1-1-1-111-111-1-111-1
χ271111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-11-11-11-111-1-1111-1-1-1-111-1-11111-1-1-111-1-111-1
χ281111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1111-1-11-111-1-1-11111-1-1-1-11111-1-11-1-111-1-11
χ291111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-111-111-1-111111-1-1-1-1-1-1-1-1111111-1-1-111-11-1-11-1-11111-1-1-1-11111-1-1-111-11-1-11
χ301111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-111-111-1-111111-1-1-1-1-1-1-1-111111-11-11-11-1-111-111-1-1-1-111-1-11111-1-11-1-11-111-1
χ311111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-111-111-1-11-1-1-1-111111111-1-1-1-111-1-1-111-11-1-11-1-11111-1-111-1-1-1-1111-1-11-111-1
χ321111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-111-111-1-11-1-1-1-111111111-1-1-1-11-11-11-11-1-111-111-1-1-1-11111-1-1-1-111-111-11-1-11
χ3322222222222222-2-2-2-2-2-2-2-2-2-222-2-2200200-20000-2000000000000000002-202-200-2-222000000000000000000000000
χ3422222222222222-2-2-2-2-2-2-2-2-2-222-2-2200200-20000-200000000000000000-220-220022-2-2000000000000000000000000
χ352222222222-2-2-2-2-2-22222222222-2-2-200-200-20000-2000000000000000002202200-2-2-2-2000000000000000000000000
χ362222222222-2-2-2-2-2-22222222222-2-2-200-200-20000-200000000000000000-2-20-2-2002222000000000000000000000000
χ3722222222-2-222222222-2-222-2-2-2-222-222-222-22222-20000000000000000-200-200-2-20000000000000000000000000000
χ3822222222-2-222222222-2-222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000200200220000000000000000000000000000
χ3922222222-2-22222-2-2-2-222-2-222-2-2-2-2-200-20020000200000000000000000000000000002-22-22-22-20000000000000000
χ4022222222-2-22222-2-2-2-222-2-222-2-2-2-2-200-2002000020000000000000000000000000000-22-22-22-220000000000000000
χ4122222222-2-2-2-2-2-222-2-222-2-222-2-222222222-2-2-2-2-2-20000000000000000-200-200220000000000000000000000000000
χ4222222222-2-2-2-2-2-222-2-222-2-222-2-2222-2-22-2-2-22222-20000000000000000200200-2-20000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-220020020000200000000000000000000000000002-22-2-22-220000000000000000
χ4422222222-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-22002002000020000000000000000000000000000-22-222-22-20000000000000000
χ452222-2-2-2-22222-2-222-2-22222-2-2-2-2-2-2200-200-20000200000000000000000000000000002-2-222-2-220000000000000000
χ462222-2-2-2-22222-2-222-2-22222-2-2-2-2-2-2200-200-2000020000000000000000000000000000-222-2-222-20000000000000000
χ472222-2-2-2-22222-2-2-2-222-2-2-2-222-2-222222-2-2-2222-2-2-20000000000000000200-200-220000000000000000000000000000
χ482222-2-2-2-22222-2-2-2-222-2-2-2-222-2-2222-2-2-2222-2-222-20000000000000000-2002002-20000000000000000000000000000
χ492222-2-2-2-222-2-2222222-2-2-2-222-2-2-2-2-200200-20000200000000000000000000000000002-2-22-222-20000000000000000
χ502222-2-2-2-222-2-2222222-2-2-2-222-2-2-2-2-200200-2000020000000000000000000000000000-222-22-2-220000000000000000
χ512222-2-2-2-222-2-222-2-2-2-22222-2-2-2-222-2222-2-22-2-222-20000000000000000200-2002-20000000000000000000000000000
χ522222-2-2-2-222-2-222-2-2-2-22222-2-2-2-222-2-2-2222222-2-2-20000000000000000-200200-220000000000000000000000000000
χ532222-2-2-2-2-2-222-2-222-2-2-2-2222222-2-2-20020020000-2000000000000000002-20-2200-222-2000000000000000000000000
χ542222-2-2-2-2-2-222-2-222-2-2-2-2222222-2-2-20020020000-200000000000000000-2202-2002-2-22000000000000000000000000
χ552222-2-2-2-2-2-2-2-222222222-2-2-2-222-2-2200-20020000-200000000000000000220-2-200-22-22000000000000000000000000
χ562222-2-2-2-2-2-2-2-222222222-2-2-2-222-2-2200-20020000-200000000000000000-2-2022002-22-2000000000000000000000000
χ572-22-22i2i−2i−2i002-22i−2i2i−2i2-2002i−2i00002-202-202i−2i02-22i−2i0i2i2−i2−i222−2−2i2i2−i2−i222−2−200000000000000000000i2−i22−2i2−i22−200000000
χ582-22-22i2i−2i−2i002-22i−2i2i−2i2-2002i−2i00002-202-202i−2i02-22i−2i0−i2−i2i2i2−2−222−i2−i2i2i2−2−22200000000000000000000−i2i2−22−i2i2−2200000000
χ592-22-22i2i−2i−2i002-22i−2i2i−2i2-2002i−2i00002-20-220−2i2i0-22−2i2i0i2i2−i2−i222−2−2i2i2−i2−i222−2−200000000000000000000−i2i2−22−i2i2−2200000000
χ602-22-22i2i−2i−2i002-22i−2i2i−2i2-2002i−2i00002-20-220−2i2i0-22−2i2i0−i2−i2i2i2−2−222−i2−i2i2i2−2−22200000000000000000000i2−i22−2i2−i22−200000000
χ612-22-22i2i−2i−2i00-22−2i2i2i−2i-2200−2i2i00002-202-202i−2i0-22−2i2i0i2i2−i2−i222−2−2−i2−i2i2i2−2−22200000000000000000000i2−i22−2−i2i2−2200000000
χ622-22-22i2i−2i−2i00-22−2i2i2i−2i-2200−2i2i00002-202-202i−2i0-22−2i2i0−i2−i2i2i2−2−222i2i2−i2−i222−2−200000000000000000000−i2i2−22i2−i22−200000000
χ632-22-22i2i−2i−2i00-22−2i2i2i−2i-2200−2i2i00002-20-220−2i2i02-22i−2i0i2i2−i2−i222−2−2−i2−i2i2i2−2−22200000000000000000000−i2i2−22i2−i22−200000000
χ642-22-22i2i−2i−2i00-22−2i2i2i−2i-2200−2i2i00002-20-220−2i2i02-22i−2i0−i2−i2i2i2−2−222i2i2−i2−i222−2−200000000000000000000i2−i22−2−i2i2−2200000000
χ652-22-2−2i−2i2i2i002-2−2i2i−2i2i2-200−2i2i00002-202-20−2i2i02-2−2i2i0i2i2−i2−i2−2−222i2i2−i2−i2−2−22200000000000000000000i2−i2−22i2−i2−2200000000
χ662-22-2−2i−2i2i2i002-2−2i2i−2i2i2-200−2i2i00002-202-20−2i2i02-2−2i2i0−i2−i2i2i222−2−2−i2−i2i2i222−2−200000000000000000000−i2i22−2−i2i22−200000000
χ672-22-2−2i−2i2i2i002-2−2i2i−2i2i2-200−2i2i00002-20-2202i−2i0-222i−2i0i2i2−i2−i2−2−222i2i2−i2−i2−2−22200000000000000000000−i2i22−2−i2i22−200000000
χ682-22-2−2i−2i2i2i002-2−2i2i−2i2i2-200−2i2i00002-20-2202i−2i0-222i−2i0−i2−i2i2i222−2−2−i2−i2i2i222−2−200000000000000000000i2−i2−22i2−i2−2200000000
χ692-22-2−2i−2i2i2i00-222i−2i−2i2i-22002i−2i00002-202-20−2i2i0-222i−2i0i2i2−i2−i2−2−222−i2−i2i2i222−2−200000000000000000000i2−i2−22−i2i22−200000000
χ702-22-2−2i−2i2i2i00-222i−2i−2i2i-22002i−2i00002-202-20−2i2i0-222i−2i0−i2−i2i2i222−2−2i2i2−i2−i2−2−22200000000000000000000−i2i22−2i2−i2−2200000000
χ712-22-2−2i−2i2i2i00-222i−2i−2i2i-22002i−2i00002-20-2202i−2i02-2−2i2i0i2i2−i2−i2−2−222−i2−i2i2i222−2−200000000000000000000−i2i22−2i2−i2−2200000000
χ722-22-2−2i−2i2i2i00-222i−2i−2i2i-22002i−2i00002-20-2202i−2i02-2−2i2i0−i2−i2i2i222−2−2i2i2−i2−i2−2−22200000000000000000000i2−i2−22−i2i22−200000000
χ7344-4-44-44-44-4000000000000004-4000000000000000000000022−2222−2222−2222−22000000000000000000000000000000000000
χ7444-4-44-44-44-4000000000000004-40000000000000000000000−2222−2222−2222−2222000000000000000000000000000000000000
χ7544-4-44-44-4-4400000000000000-440000000000000022−2222−2222−2222−2200000000000000000000000000000000000000000000
χ7644-4-44-44-4-4400000000000000-4400000000000000−2222−2222−2222−222200000000000000000000000000000000000000000000
χ7744-4-4-44-444-400000000000000-440000000000000022−2222−22−2222−222200000000000000000000000000000000000000000000
χ7844-4-4-44-444-400000000000000-4400000000000000−2222−222222−2222−2200000000000000000000000000000000000000000000
χ7944-4-4-44-44-44000000000000004-4000000000000000000000022−2222−22−2222−2222000000000000000000000000000000000000
χ8044-4-4-44-44-44000000000000004-40000000000000000000000−2222−222222−2222−22000000000000000000000000000000000000
χ814-44-44i4i−4i−4i004-44i−4i−4i4i-4400−4i4i0000-440000000000000000000000000000000000000000000000000000000000000000
χ824-44-44i4i−4i−4i00-44−4i4i−4i4i4-4004i−4i0000-440000000000000000000000000000000000000000000000000000000000000000
χ834-44-4−4i−4i4i4i004-4−4i4i4i−4i-44004i−4i0000-440000000000000000000000000000000000000000000000000000000000000000
χ844-44-4−4i−4i4i4i00-444i−4i4i−4i4-400−4i4i0000-440000000000000000000000000000000000000000000000000000000000000000
χ854-4-444i−4i−4i4i00000000004-4004i−4i00000000000000002i−2i−2i2i2-2-222i−2i−2i2i2-2-22000000000000000000000000000000000000
χ864-4-444i−4i−4i4i00000000004-4004i−4i0000000000000000−2i2i2i−2i-222-2−2i2i2i−2i-222-2000000000000000000000000000000000000
χ874-4-444i−4i−4i4i0000000000-4400−4i4i00000000000000002i−2i−2i2i2-2-22−2i2i2i−2i-222-2000000000000000000000000000000000000
χ884-4-444i−4i−4i4i0000000000-4400−4i4i0000000000000000−2i2i2i−2i-222-22i−2i−2i2i2-2-22000000000000000000000000000000000000
χ894-4-44−4i4i4i−4i00000000004-400−4i4i00000000000000002i−2i−2i2i-222-22i−2i−2i2i-222-2000000000000000000000000000000000000
χ904-4-44−4i4i4i−4i00000000004-400−4i4i0000000000000000−2i2i2i−2i2-2-22−2i2i2i−2i2-2-22000000000000000000000000000000000000
χ914-4-44−4i4i4i−4i0000000000-44004i−4i00000000000000002i−2i−2i2i-222-2−2i2i2i−2i2-2-22000000000000000000000000000000000000
χ924-4-44−4i4i4i−4i0000000000-44004i−4i0000000000000000−2i2i2i−2i2-2-222i−2i−2i2i-222-2000000000000000000000000000000000000

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