Finite Group Databasebeta

← Group #7534063

Character table — Group #7534063

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89
size1111111122222222222244444444444444444444444444444444448888888888888888888888888881616161616161616
order12222222444444444444222244444444444444888888888888888844444444444444444448888888824444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1
χ311111111111111111111111111111111-1-1-1-11111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-1-111
χ511111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-1111111-1-111-1-1-1-111-1-1-1-1111-1-11-1-1-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-111-11111
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1111111-1-1
χ91111111111111-1-1-1-111111-1-111-1-111-1-11111-1-1111111111111-1-1-1-1-1-1-11-111-1-1111-11111-1-1-1-111-1-1-1-1-11-1-11-11-1
χ101111111111111-1-1-1-111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-111-1-1-1-11-1-1-1-1-11111-1-1111111-111-1-11
χ111111111111111-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1111-1-1-111-1-11-1-1-1-1-111-1-111-1-1-1-11-111-11-11
χ121111111111111-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-111111-11111-1-111-1-11111-1-11-1-111-1
χ131111111111111-1-1-1-1111-1-11111-1-1-1-1111111-1-111111111-1-1-1-11111-1-1-1-1111-1-111-1111-1-111-1-1-1-111-1-1-1-11-1-11-11
χ141111111111111-1-1-1-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-111-1-11111-1-1111-111-111-1
χ151111111111111-1-1-1-1111-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-111-11-1-111-1-1-11-1-111-1-1-1-1-1-111-1-111-111-11-1
χ161111111111111-1-1-1-1111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-11-1-11111-1111-1-1111111-1-111-11-1-11-1-11
χ1711111111-1-1-1-1111111111111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1111-1-111
χ1811111111-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1-1
χ1911111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111111-1-1-111-1-1
χ2011111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111
χ2111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-11111-1-1-1-111111111-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1111-1-1
χ2211111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-1-11111
χ2311111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-111
χ2411111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1111-1-1-1-1
χ2511111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-11-1-1-11111-11-1-1-1-1111111-1-1-1-111-1-1-111-1
χ2611111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11-1-11-1-1-111-1-1-111111-1-1-1-1-1-11111-11-11-11-11
χ2711111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111-1-11111-1-1-1-1-1-1111-1-11
χ2811111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-111-1-111-11-1-1-1-111-1-1-1-111111-11-11-11-1
χ2911111111-1-1-1-11-1-1-1-1111-1-111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-11-1-1-11-1-111111-1-1-111-1-111-1-111-1-11-11-11-1-11
χ3011111111-1-1-1-11-1-1-1-1111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111111-1-1-11-1-111-1-11-111-1-111-1-111-1-111-1-1111-11-1
χ3111111111-1-1-1-11-1-1-1-1111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1111-1-1-1-11-111-1-11111-1-111-1-1-11-11-111-1
χ3211111111-1-1-1-11-1-1-1-1111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-1111-1-1111-1-1-111-1-1-1-111-1-11111-1-1-11-11
χ33222222222222-22222-2-2-22222-2-2-2-222220000220000000000000000-200-2-2000000-2-20000000000000000000000
χ34222222222222-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000220000000000000000-20022000000220000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-20000-2-20000000000000000200-22000000-220000000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-2220000-2-200000000000000002002-20000002-20000000000000000000000
χ3722222222-2-2-2-2-22222-2-2-2222222-2-2-2-2-2-20000-2-20000000000000000200-2-2000000220000000000000000000000
χ3822222222-2-2-2-2-22222-2-2-2-2-2-2-222-2-222220000-2-2000000000000000020022000000-2-20000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2220000220000000000000000-200-220000002-20000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-20000220000000000000000-2002-2000000-220000000000000000000000
χ412-222-2-22-22i2i−2i−2i022-2-20002-22-200002i−2i2i−2i00002i−2ii2i2−i2−i222−2−222−2−222−2−200000000000000000002−2i2−i2i2−i2i2−i200000000
χ422-222-2-22-22i2i−2i−2i022-2-20002-22-200002i−2i2i−2i00002i−2i−i2−i2i2i2−2−222−2−222−2−2220000000000000000000−22−i2i2−i2i2−i2i200000000
χ432-222-2-22-22i2i−2i−2i022-2-2000-22-220000−2i2i−2i2i00002i−2ii2i2−i2−i222−2−2−2−222−2−22200000000000000000002−2−i2i2−i2i2i2−i200000000
χ442-222-2-22-22i2i−2i−2i022-2-2000-22-220000−2i2i−2i2i00002i−2i−i2−i2i2i2−2−22222−2−222−2−20000000000000000000−22i2−i2i2−i2−i2i200000000
χ452-222-2-22-22i2i−2i−2i0-2-2220002-2-2200002i−2i−2i2i0000−2i2ii2i2−i2−i222−2−222−2−2−2−2220000000000000000000−22i2−i2−i2i2−i2i200000000
χ462-222-2-22-22i2i−2i−2i0-2-2220002-2-2200002i−2i−2i2i0000−2i2i−i2−i2i2i2−2−222−2−22222−2−200000000000000000002−2−i2i2i2−i2i2−i200000000
χ472-222-2-22-22i2i−2i−2i0-2-222000-222-20000−2i2i2i−2i0000−2i2ii2i2−i2−i222−2−2−2−22222−2−20000000000000000000−22−i2i2i2−i2−i2i200000000
χ482-222-2-22-22i2i−2i−2i0-2-222000-222-20000−2i2i2i−2i0000−2i2i−i2−i2i2i2−2−22222−2−2−2−22200000000000000000002−2i2−i2−i2i2i2−i200000000
χ492-222-2-22-2−2i−2i2i2i022-2-20002-22-20000−2i2i−2i2i0000−2i2ii2i2−i2−i2−2−222−2−222−2−2220000000000000000000−22i2−i2i2−i2i2−i200000000
χ502-222-2-22-2−2i−2i2i2i022-2-20002-22-20000−2i2i−2i2i0000−2i2i−i2−i2i2i222−2−222−2−222−2−200000000000000000002−2−i2i2−i2i2−i2i200000000
χ512-222-2-22-2−2i−2i2i2i022-2-2000-22-2200002i−2i2i−2i0000−2i2ii2i2−i2−i2−2−22222−2−222−2−20000000000000000000−22−i2i2−i2i2i2−i200000000
χ522-222-2-22-2−2i−2i2i2i022-2-2000-22-2200002i−2i2i−2i0000−2i2i−i2−i2i2i222−2−2−2−222−2−22200000000000000000002−2i2−i2i2−i2−i2i200000000
χ532-222-2-22-2−2i−2i2i2i0-2-2220002-2-220000−2i2i2i−2i00002i−2ii2i2−i2−i2−2−222−2−22222−2−200000000000000000002−2i2−i2−i2i2−i2i200000000
χ542-222-2-22-2−2i−2i2i2i0-2-2220002-2-220000−2i2i2i−2i00002i−2i−i2−i2i2i222−2−222−2−2−2−2220000000000000000000−22−i2i2i2−i2i2−i200000000
χ552-222-2-22-2−2i−2i2i2i0-2-222000-222-200002i−2i−2i2i00002i−2ii2i2−i2−i2−2−22222−2−2−2−22200000000000000000002−2−i2i2i2−i2−i2i200000000
χ562-222-2-22-2−2i−2i2i2i0-2-222000-222-200002i−2i−2i2i00002i−2i−i2−i2i2i222−2−2−2−22222−2−20000000000000000000−22i2−i2−i2i2i2−i200000000
χ572-22-22-2-222i−2i2i−2i20000-2-2200002i−2i0000002i2i−2i−2i002i−2i2i−2i2-22-200000000000002-2002-2002i−2i00000000000000000000
χ582-22-22-2-222i−2i2i−2i20000-2-2200002i−2i0000002i2i−2i−2i00−2i2i−2i2i-22-2200000000000002-200-2200−2i2i00000000000000000000
χ592-22-22-2-222i−2i2i−2i20000-2-2200002i−2i000000−2i−2i2i2i002i−2i2i−2i2-22-20000000000000-2200-2200−2i2i00000000000000000000
χ602-22-22-2-222i−2i2i−2i20000-2-2200002i−2i000000−2i−2i2i2i00−2i2i−2i2i-22-220000000000000-22002-2002i−2i00000000000000000000
χ612-22-22-2-22−2i2i−2i2i20000-2-220000−2i2i0000002i2i−2i−2i002i−2i2i−2i-22-220000000000000-22002-200−2i2i00000000000000000000
χ622-22-22-2-22−2i2i−2i2i20000-2-220000−2i2i0000002i2i−2i−2i00−2i2i−2i2i2-22-20000000000000-2200-22002i−2i00000000000000000000
χ632-22-22-2-22−2i2i−2i2i20000-2-220000−2i2i000000−2i−2i2i2i002i−2i2i−2i-22-2200000000000002-200-22002i−2i00000000000000000000
χ642-22-22-2-22−2i2i−2i2i20000-2-220000−2i2i000000−2i−2i2i2i00−2i2i−2i2i2-22-200000000000002-2002-200−2i2i00000000000000000000
χ652-2-2-2222-2000022-22-22-2-20000002-200002i−2i2i−2i00000000002i−2i2i−2i2i−2i2i−2i02i−2i0000000000002-22-20000000000000000
χ662-2-2-2222-2000022-22-22-2-20000002-200002i−2i2i−2i0000000000−2i2i−2i2i−2i2i−2i2i02i−2i000000000000-22-220000000000000000
χ672-2-2-2222-2000022-22-22-2-20000002-20000−2i2i−2i2i00000000002i−2i2i−2i2i−2i2i−2i0−2i2i000000000000-22-220000000000000000
χ682-2-2-2222-2000022-22-22-2-20000002-20000−2i2i−2i2i0000000000−2i2i−2i2i−2i2i−2i2i0−2i2i0000000000002-22-20000000000000000
χ692-2-2-2222-200002-22-222-2-2000000-2200002i−2i2i−2i00000000002i−2i2i−2i−2i2i−2i2i0−2i2i0000000000002-2-220000000000000000
χ702-2-2-2222-200002-22-222-2-2000000-2200002i−2i2i−2i0000000000−2i2i−2i2i2i−2i2i−2i0−2i2i000000000000-222-20000000000000000
χ712-2-2-2222-200002-22-222-2-2000000-220000−2i2i−2i2i00000000002i−2i2i−2i−2i2i−2i2i02i−2i000000000000-222-20000000000000000
χ722-2-2-2222-200002-22-222-2-2000000-220000−2i2i−2i2i0000000000−2i2i−2i2i2i−2i2i−2i02i−2i0000000000002-2-220000000000000000
χ73444-4-44-4-44-4-440000000000000000000000000022−22−222222−22−22220000000000000000000000000000000000000000000
χ74444-4-44-4-44-4-4400000000000000000000000000−222222−22−222222−220000000000000000000000000000000000000000000
χ75444-4-44-4-4-444-40000000000000000000000000022−22−2222−222222−220000000000000000000000000000000000000000000
χ76444-4-44-4-4-444-400000000000000000000000000−222222−2222−22−22220000000000000000000000000000000000000000000
χ7744-444-4-4-4000040000-44-40000000000004-4-4400000000000000000000000000000000000000000000000000000
χ7844-444-4-4-4000040000-44-4000000000000-444-400000000000000000000000000000000000000000000000000000
χ7944-444-4-4-40000-400004-44000000000000000000000000000000000000000004i−4i00000000000000000000000000
χ8044-444-4-4-40000-400004-4400000000000000000000000000000000000000000−4i4i00000000000000000000000000
χ8144-4-4-4-444000004-4-44000000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000
χ8244-4-4-4-444000004-4-4400000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000
χ8344-4-4-4-44400000-444-4000000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000
χ8444-4-4-4-44400000-444-400000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000
χ854-44-44-4-444i−4i4i−4i-4000044-40000−4i4i000000000000000000000000000000000000000000000000000000000000000
χ864-44-44-4-44−4i4i−4i4i-4000044-400004i−4i000000000000000000000000000000000000000000000000000000000000000
χ874-4-4-4444-40000-44-44-4-444000000-440000000000000000000000000000000000000000000000000000000000000
χ884-4-4-4444-40000-4-44-44-4440000004-40000000000000000000000000000000000000000000000000000000000000
χ898-8-88-88-88000000000000000000000000000000000000000000000000000000000000000000000000000000000

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