Finite Group Databasebeta

← Group #763510

Character table — Group #763510

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11111111111111112222222244444444444444448888888888888888888888888888888888888888888888888888
order12222222222222224444444422222222444444442222224444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ51111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111
χ61111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ71111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ81111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111
χ9111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1111111
χ10111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-1
χ11111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-1
χ12111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1-111
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-11111-1-111-1-1-1-111-1-11111
χ171111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111
χ181111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-11111-1-111-1-1
χ191111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1
χ201111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-11111-1-111-1-111-1-1-1-1111111
χ211111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11111
χ221111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-111-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ231111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ241111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-111111111-1-111
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-1-1-111
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-111111111-1-111-1-1-1-1-1-1
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1111111-1-1
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-111
χ332222-22-2-2-2-2-2222-2-22i2i2i2i−2i−2i−2i−2i000022-2-200002i2i−2i−2i00002-2000000000000002i−2i0000000000000000002i−2i002-2000000
χ342222-22-2-2-2-2-2222-2-22i2i2i2i−2i−2i−2i−2i000022-2-200002i2i−2i−2i0000-2200000000000000−2i2i000000000000000000−2i2i00-22000000
χ352222-22-2-2-2-2-2222-2-22i2i2i2i−2i−2i−2i−2i0000-2-2220000−2i−2i2i2i00002-200000000000000−2i2i0000000000000000002i−2i00-22000000
χ362222-22-2-2-2-2-2222-2-22i2i2i2i−2i−2i−2i−2i0000-2-2220000−2i−2i2i2i0000-22000000000000002i−2i000000000000000000−2i2i002-2000000
χ372222-22-2-2-2-2-2222-2-2−2i−2i−2i−2i2i2i2i2i000022-2-20000−2i−2i2i2i00002-200000000000000−2i2i000000000000000000−2i2i002-2000000
χ382222-22-2-2-2-2-2222-2-2−2i−2i−2i−2i2i2i2i2i000022-2-20000−2i−2i2i2i0000-22000000000000002i−2i0000000000000000002i−2i00-22000000
χ392222-22-2-2-2-2-2222-2-2−2i−2i−2i−2i2i2i2i2i0000-2-22200002i2i−2i−2i00002-2000000000000002i−2i000000000000000000−2i2i00-22000000
χ402222-22-2-2-2-2-2222-2-2−2i−2i−2i−2i2i2i2i2i0000-2-22200002i2i−2i−2i0000-2200000000000000−2i2i0000000000000000002i−2i002-2000000
χ4122-2-22-222-22-222-2-2-22i2i−2i−2i2i2i−2i−2i22-2-22-22-22i2i−2i−2i2i−2i2i−2i00000000000000000000002-22i−2i00000000000000000000000000
χ4222-2-22-222-22-222-2-2-22i2i−2i−2i2i2i−2i−2i22-2-2-22-222i2i−2i−2i−2i2i−2i2i0000000000000000000000-22−2i2i00000000000000000000000000
χ4322-2-22-222-22-222-2-2-22i2i−2i−2i2i2i−2i−2i-2-2222-22-2−2i−2i2i2i2i−2i2i−2i0000000000000000000000-22−2i2i00000000000000000000000000
χ4422-2-22-222-22-222-2-2-22i2i−2i−2i2i2i−2i−2i-2-222-22-22−2i−2i2i2i−2i2i−2i2i00000000000000000000002-22i−2i00000000000000000000000000
χ4522-2-22-222-22-222-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-22-22-2−2i−2i2i2i−2i2i−2i2i00000000000000000000002-2−2i2i00000000000000000000000000
χ4622-2-22-222-22-222-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-2-22-22−2i−2i2i2i2i−2i2i−2i0000000000000000000000-222i−2i00000000000000000000000000
χ4722-2-22-222-22-222-2-2-2−2i−2i2i2i−2i−2i2i2i-2-2222-22-22i2i−2i−2i−2i2i−2i2i0000000000000000000000-222i−2i00000000000000000000000000
χ4822-2-22-222-22-222-2-2-2−2i−2i2i2i−2i−2i2i2i-2-222-22-222i2i−2i−2i2i−2i2i−2i00000000000000000000002-2−2i2i00000000000000000000000000
χ4922-2-2-2-2-2-22-2222-22222-2-2-2-22200002-2-2200002-2-220000000000000000002-20000000000000000002-2002-20000002-2
χ5022-2-2-2-2-2-22-2222-22222-2-2-2-22200002-2-2200002-2-22000000000000000000-22000000000000000000-2200-22000000-22
χ5122-2-2-2-2-2-22-2222-22222-2-2-2-2220000-222-20000-222-20000000000000000002-2000000000000000000-22002-2000000-22
χ5222-2-2-2-2-2-22-2222-22222-2-2-2-2220000-222-20000-222-2000000000000000000-220000000000000000002-200-220000002-2
χ5322-2-2-2-2-2-22-2222-222-2-22222-2-200002-2-220000-222-20000000000000000002-2000000000000000000-2200-220000002-2
χ5422-2-2-2-2-2-22-2222-222-2-22222-2-200002-2-220000-222-2000000000000000000-220000000000000000002-2002-2000000-22
χ5522-2-2-2-2-2-22-2222-222-2-22222-2-20000-222-200002-2-220000000000000000002-20000000000000000002-200-22000000-22
χ5622-2-2-2-2-2-22-2222-222-2-22222-2-20000-222-200002-2-22000000000000000000-22000000000000000000-22002-20000002-2
χ572-22-2-222-22222-2-2-2-22i−2i2i−2i2i−2i2i−2i2-22-200002i−2i2i−2i000000000000000000002-200000000000000002-22i−2i00000000002i−2i00
χ582-22-2-222-22222-2-2-2-22i−2i2i−2i2i−2i2i−2i2-22-200002i−2i2i−2i00000000000000000000-220000000000000000-22−2i2i0000000000−2i2i00
χ592-22-2-222-22222-2-2-2-22i−2i2i−2i2i−2i2i−2i-22-220000−2i2i−2i2i000000000000000000002-20000000000000000-222i−2i0000000000−2i2i00
χ602-22-2-222-22222-2-2-2-22i−2i2i−2i2i−2i2i−2i-22-220000−2i2i−2i2i00000000000000000000-2200000000000000002-2−2i2i00000000002i−2i00
χ612-22-2-222-22222-2-2-2-2−2i2i−2i2i−2i2i−2i2i2-22-20000−2i2i−2i2i000000000000000000002-200000000000000002-2−2i2i0000000000−2i2i00
χ622-22-2-222-22222-2-2-2-2−2i2i−2i2i−2i2i−2i2i2-22-20000−2i2i−2i2i00000000000000000000-220000000000000000-222i−2i00000000002i−2i00
χ632-22-2-222-22222-2-2-2-2−2i2i−2i2i−2i2i−2i2i-22-2200002i−2i2i−2i000000000000000000002-20000000000000000-22−2i2i00000000002i−2i00
χ642-22-2-222-22222-2-2-2-2−2i2i−2i2i−2i2i−2i2i-22-2200002i−2i2i−2i00000000000000000000-2200000000000000002-22i−2i0000000000−2i2i00
χ652-2-22-2-22-2-22-22-22222-2-222-2-222-2-2200002-2-220000002-200000000002-2000000000000002-22-2000000000000000000
χ662-2-22-2-22-2-22-22-22222-2-222-2-222-2-2200002-2-22000000-220000000000-2200000000000000-22-22000000000000000000
χ672-2-22-2-22-2-22-22-22222-2-222-2-22-222-20000-222-20000002-20000000000-22000000000000002-2-22000000000000000000
χ682-2-22-2-22-2-22-22-22222-2-222-2-22-222-20000-222-2000000-2200000000002-200000000000000-222-2000000000000000000
χ692-2-22-2-22-2-22-22-2222-222-2-222-22-2-220000-222-20000002-200000000002-200000000000000-22-22000000000000000000
χ702-2-22-2-22-2-22-22-2222-222-2-222-22-2-220000-222-2000000-220000000000-22000000000000002-22-2000000000000000000
χ712-2-22-2-22-2-22-22-2222-222-2-222-2-222-200002-2-220000002-20000000000-2200000000000000-222-2000000000000000000
χ722-2-22-2-22-2-22-22-2222-222-2-222-2-222-200002-2-22000000-2200000000002-2000000000000002-2-22000000000000000000
χ7344444-4-4-4-444-4-4-4-440000000000000000000000000000000000004i−4i00000000000000000000000000000000000000
χ7444444-4-4-4-444-4-4-4-44000000000000000000000000000000000000−4i4i00000000000000000000000000000000000000
χ754444-4-4444-4-4-4-4-44-40000000000000000000000000000004-400000000000000000000000000000000000000000000
χ764444-4-4444-4-4-4-4-44-4000000000000000000000000000000-4400000000000000000000000000000000000000000000
χ7744-4-444-4-444-4-4-444-400000000000000000000000000000000004i−4i0000000000000000000000000000000000000000
χ7844-4-444-4-444-4-4-444-40000000000000000000000000000000000−4i4i0000000000000000000000000000000000000000
χ7944-4-4-4444-4-44-4-44-44000000000000000000000000000000000000000000000000004-4000000000000000000000000
χ8044-4-4-4444-4-44-4-44-4400000000000000000000000000000000000000000000000000-44000000000000000000000000
χ814-44-444-44-4-4-44-4-4444-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ824-44-444-44-4-4-44-4-444-44-444-44-400000000000000000000000000000000000000000000000000000000000000000000
χ834-44-44-44-44-4-4-444-440000000000000000000000004-400000000000000000000000000000000000000000000000000
χ844-44-44-44-44-4-4-444-44000000000000000000000000-4400000000000000000000000000000000000000000000000000
χ854-44-4-4-4-44-444-4444-400000000000000000000000000000000000000000000000000004-40000000000000000000000
χ864-44-4-4-4-44-444-4444-40000000000000000000000000000000000000000000000000000-440000000000000000000000
χ874-4-44444-4-4-44-44-44-400000000000000000000000000000000000000000000000000000000000000000000004i−4i0000
χ884-4-44444-4-4-44-44-44-40000000000000000000000000000000000000000000000000000000000000000000000−4i4i0000
χ894-4-444-4-444-444-44-4-44i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ904-4-444-4-444-444-44-4-4−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ914-4-44-44-4444-4-44-4-44000000000000000000000000000000004-4000000000000000000000000000000000000000000
χ924-4-44-44-4444-4-44-4-4400000000000000000000000000000000-44000000000000000000000000000000000000000000

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