Finite Group Databasebeta

← Group #6442113

Character table — Group #6442113

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111122222222222222222222444444444444444444444444444488888888888888888888888888881616161616161616
order12222222222244444444444444442222444444448888888888888888222224444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111
χ51111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-111-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-11111
χ71111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-11111111111-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111111111-1-111-1-111111-1-1-1-1
χ9111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11-1-1-11-11111-1-1-1-1111-1-1-1-111-1-11-11-1
χ10111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-111-1111-111111-1-1-1-1-1-1-11-1-11-1-111-11-11
χ11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1-1-11-1-1-1-1-11111111-1-1-1-1-1-111-11-11
χ12111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1111-11-1-1-1-11111-1-1-11-1-1111-1-11-11-1
χ13111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11-1-1-1-1111111-1111111-1-1-11-11
χ14111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1-11111-1-11-111-1-1-1111-11-1
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11-1-1-111111-1-1-1-111-11111-1-1111-11-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1111-11111-1-1-1-1-1-11-111-111-1-1-11-11
χ1711111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-11-1-1-111
χ1811111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11-1111-1-1
χ1911111111-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11-11-1111-1-1
χ2011111111-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-11-11-1-1-111
χ2111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-11111-1-1-1-111-1-111-1-11111-11-11-111-1-1
χ2211111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111-1-1-1-111-1-111-1-11111-1-1111-11-11-1-111
χ2311111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-11111-1-111-1-111-1-1-1-11111-1-11-11-1-111
χ2411111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111-1-1-1-11111-1-111-1-111-1-11111-11-111-1-1
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111-11-1-11-111-1-1-1-111-1-1-1111-11-1-11-111-1
χ2611111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-111-1111-1-1-1-111111-1111-111-11-1-11
χ2711111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-11-1-11-1-1-11111-1-1-1-1-1111-1-111-11-1-11
χ2811111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-111-11-1-11111-1-1111-11111-1-11-111-1
χ2911111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1111-1-1-1-11-1-11111-1-1-1-11-1-1-111-1-111-1-11
χ3011111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-11-1-1-11111-1-1-11111-1-111-11-1-1-1-111-1-111-1
χ3111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1111-1-1-1-1111-1-1-1-111-1-11-1-1-11-111-1-111-1
χ3211111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-11-1-1-11111-111-1-1-1-11111-11-1-1-11-1-111-1-11
χ332222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000-2-222000000000000000000000000200-2-200-2-200000000002200200000000
χ342222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000-2-222000000000000000000000000-2002200220000000000-2-200-200000000
χ35222222222222-2-2-2-222222222-2-2-2-20000-2-2-2-2000000000000000000000000200-2200-2200000000002-200-200000000
χ36222222222222-2-2-2-222222222-2-2-2-20000-2-2-2-2000000000000000000000000-2002-2002-20000000000-2200200000000
χ3722222222-2-2-2-22222-2-2-2-22222-2-2-2-2000022-2-20000000000000000000000002002200-2-20000000000-2-200200000000
χ3822222222-2-2-2-22222-2-2-2-22222-2-2-2-2000022-2-2000000000000000000000000-200-2-2002200000000002200-200000000
χ3922222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000022220000000000000000000000002002-200-220000000000-2200-200000000
χ4022222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200002222000000000000000000000000-200-22002-200000000002-200200000000
χ4122-22-22-2-200002i2i−2i−2i2i2i−2i−2i00002-22-222-2-200002i2i−2i−2i000022-2-200002i2i−2i−2i0000000000000002-2002i−2i000000000000000
χ4222-22-22-2-200002i2i−2i−2i2i2i−2i−2i00002-22-222-2-200002i2i−2i−2i0000-2-2220000−2i−2i2i2i000000000000000-2200−2i2i000000000000000
χ4322-22-22-2-200002i2i−2i−2i2i2i−2i−2i00002-22-2-2-2220000−2i−2i2i2i000022-2-200002i2i−2i−2i000000000000000-2200−2i2i000000000000000
χ4422-22-22-2-200002i2i−2i−2i2i2i−2i−2i00002-22-2-2-2220000−2i−2i2i2i0000-2-2220000−2i−2i2i2i0000000000000002-2002i−2i000000000000000
χ4522-22-22-2-20000−2i−2i2i2i−2i−2i2i2i00002-22-222-2-20000−2i−2i2i2i000022-2-20000−2i−2i2i2i0000000000000002-200−2i2i000000000000000
χ4622-22-22-2-20000−2i−2i2i2i−2i−2i2i2i00002-22-222-2-20000−2i−2i2i2i0000-2-22200002i2i−2i−2i000000000000000-22002i−2i000000000000000
χ4722-22-22-2-20000−2i−2i2i2i−2i−2i2i2i00002-22-2-2-22200002i2i−2i−2i000022-2-20000−2i−2i2i2i000000000000000-22002i−2i000000000000000
χ4822-22-22-2-20000−2i−2i2i2i−2i−2i2i2i00002-22-2-2-22200002i2i−2i−2i0000-2-22200002i2i−2i−2i0000000000000002-200−2i2i000000000000000
χ492-222-2-22-222-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2-2-222-22-22-22i−2i2i−2i2i−2i00000000000000002-2000000000000000000000002i−2i000000000
χ502-222-2-22-222-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2-2-22-22-222-22i−2i−2i2i−2i2i0000000000000000-2200000000000000000000000−2i2i000000000
χ512-222-2-22-222-2-22i−2i2i−2i−2i2i−2i2i−2i−2i2i2i-222-20000-222i−2i00000000000000000000002-202i−2i002i−2i00000000002-20000000000000
χ522-222-2-22-222-2-22i−2i2i−2i−2i2i−2i2i−2i−2i2i2i-222-20000-222i−2i0000000000000000000000-220−2i2i00−2i2i0000000000-220000000000000
χ532-222-2-22-222-2-2−2i2i−2i2i2i−2i2i−2i2i2i−2i−2i-222-20000-22−2i2i00000000000000000000002-20−2i2i00−2i2i00000000002-20000000000000
χ542-222-2-22-222-2-2−2i2i−2i2i2i−2i2i−2i2i2i−2i−2i-222-20000-22−2i2i0000000000000000000000-2202i−2i002i−2i0000000000-220000000000000
χ552-222-2-22-222-2-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i2-2-222-22-22-2−2i2i−2i2i−2i2i00000000000000002-200000000000000000000000−2i2i000000000
χ562-222-2-22-222-2-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i2-2-22-22-222-2−2i2i2i−2i2i−2i0000000000000000-22000000000000000000000002i−2i000000000
χ572-222-2-22-2-2-2222i−2i2i−2i2i−2i2i−2i−2i−2i2i2i2-2-222-22-2-22−2i2i2i−2i2i−2i0000000000000000-2200000000000000000000000−2i2i000000000
χ582-222-2-22-2-2-2222i−2i2i−2i2i−2i2i−2i−2i−2i2i2i2-2-22-22-22-22−2i2i−2i2i−2i2i00000000000000002-2000000000000000000000002i−2i000000000
χ592-222-2-22-2-2-2222i−2i2i−2i−2i2i−2i2i2i2i−2i−2i-222-200002-2−2i2i00000000000000000000002-20−2i2i002i−2i0000000000-220000000000000
χ602-222-2-22-2-2-2222i−2i2i−2i−2i2i−2i2i2i2i−2i−2i-222-200002-2−2i2i0000000000000000000000-2202i−2i00−2i2i00000000002-20000000000000
χ612-222-2-22-2-2-222−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i-222-200002-22i−2i00000000000000000000002-202i−2i00−2i2i0000000000-220000000000000
χ622-222-2-22-2-2-222−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i-222-200002-22i−2i0000000000000000000000-220−2i2i002i−2i00000000002-20000000000000
χ632-222-2-22-2-2-222−2i2i−2i2i−2i2i−2i2i2i2i−2i−2i2-2-222-22-2-222i−2i−2i2i−2i2i0000000000000000-22000000000000000000000002i−2i000000000
χ642-222-2-22-2-2-222−2i2i−2i2i−2i2i−2i2i2i2i−2i−2i2-2-22-22-22-222i−2i2i−2i2i−2i00000000000000002-200000000000000000000000−2i2i000000000
χ652-2-222-2-2200002-2-222-2-22000022-2-22-2-2200002-2-222i2i−2i−2i00002i2i−2i−2i000000000000000002i−2i002i−2i00000000000000000
χ662-2-222-2-2200002-2-222-2-22000022-2-22-2-2200002-2-22−2i−2i2i2i0000−2i−2i2i2i00000000000000000−2i2i00−2i2i00000000000000000
χ672-2-222-2-2200002-2-222-2-22000022-2-2-222-20000-222-22i2i−2i−2i00002i2i−2i−2i00000000000000000−2i2i00−2i2i00000000000000000
χ682-2-222-2-2200002-2-222-2-22000022-2-2-222-20000-222-2−2i−2i2i2i0000−2i−2i2i2i000000000000000002i−2i002i−2i00000000000000000
χ692-2-222-2-220000-222-2-222-2000022-2-22-2-220000-222-22i2i−2i−2i0000−2i−2i2i2i000000000000000002i−2i00−2i2i00000000000000000
χ702-2-222-2-220000-222-2-222-2000022-2-22-2-220000-222-2−2i−2i2i2i00002i2i−2i−2i00000000000000000−2i2i002i−2i00000000000000000
χ712-2-222-2-220000-222-2-222-2000022-2-2-222-200002-2-222i2i−2i−2i0000−2i−2i2i2i00000000000000000−2i2i002i−2i00000000000000000
χ722-2-222-2-220000-222-2-222-2000022-2-2-222-200002-2-22−2i−2i2i2i00002i2i−2i−2i000000000000000002i−2i00−2i2i00000000000000000
χ73444-4-4-4-440000000000004-44-4000000000000000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ74444-4-4-4-440000000000004-44-400000000000000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ75444-4-4-4-44000000000000-44-44000000000000000000002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ76444-4-4-4-44000000000000-44-4400000000000000000000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ7744-44-44-4-400004i4i−4i−4i−4i−4i4i4i0000-44-440000000000000000000000000000000000000000000000000000000000000000
χ7844-44-44-4-40000−4i−4i4i4i4i4i−4i−4i0000-44-440000000000000000000000000000000000000000000000000000000000000000
χ7944-4-44-44-44-44-400000000000000000000000000002i2−2i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000000000000
χ8044-4-44-44-44-44-40000000000000000000000000000−2i22i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000000000000
χ8144-4-44-44-4-44-4400000000000000000000000000002i2−2i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000000000000
χ8244-4-44-44-4-44-440000000000000000000000000000−2i22i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000000000000
χ834-44-444-4-40000000000004i−4i−4i4i000000000000000022−22−2222000000002i2−2i22i2−2i2000000000000000000000000000000000000
χ844-44-444-4-40000000000004i−4i−4i4i0000000000000000−222222−2200000000−2i22i2−2i22i2000000000000000000000000000000000000
χ854-44-444-4-4000000000000−4i4i4i−4i000000000000000022−22−222200000000−2i22i2−2i22i2000000000000000000000000000000000000
χ864-44-444-4-4000000000000−4i4i4i−4i0000000000000000−222222−22000000002i2−2i22i2−2i2000000000000000000000000000000000000
χ874-4-444-4-4400004-4-44-444-40000-4-4440000000000000000000000000000000000000000000000000000000000000000
χ884-4-444-4-440000-444-44-4-440000-4-4440000000000000000000000000000000000000000000000000000000000000000
χ894-4-4-4-44444-4-4400000000000000000000000000000000000022−22−222222−22−2222000000000000000000000000000000000000
χ904-4-4-4-44444-4-44000000000000000000000000000000000000−222222−22−222222−22000000000000000000000000000000000000
χ914-4-4-4-4444-444-400000000000000000000000000000000000022−22−2222−222222−22000000000000000000000000000000000000
χ924-4-4-4-4444-444-4000000000000000000000000000000000000−222222−2222−22−2222000000000000000000000000000000000000

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