Finite Group Databasebeta

← Group #7562699

Character table — Group #7562699

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89
size1111111122222222222244444444444444444444444444444444448888888888888888888888888881616161616161616
order12222222444444444444444444444444444444888888888888888822224444444444444448888888824444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1
χ5111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111
χ91111111111111-1-1-1-1111-1-111111111-1-1-1-111-1-1111111111111-1-1-1-111-1-1-111-1-11-111-1-11-11111-1-1-1-1-1-1-1-11-11-11-1
χ101111111111111-1-1-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-11-1-1-1-1-11-1-1-1-1-111111111-111-11-1
χ111111111111111-1-1-1-1111-1-1111111-1-111-1-1-1-11111111111-1-1-1-11111-1-111-111-1-1-1111-1-1-1111-1-111-1-1-1-1-1-1-11-11-11
χ121111111111111-1-1-1-1111-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111-1-1-11-1-1-1-1-11-1-111-1-11111111-1-11-11
χ131111111111111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1111-1-1-1111-1-1-111-1-1-1-1-1-111-11-11-11
χ141111111111111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-111111-111-1-1111111-1-11-1-11-11
χ151111111111111-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-111-11-1-111-11-1-1-1-111-1-1-1-1111-11-11-1
χ161111111111111-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-111-111111-111111-1-11111-1-1-111-11-1
χ17111111111-1-1-1-11111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11-1-1-1-1-111
χ18111111111-1-1-1-11111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1111-1-111
χ19111111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11-11111-1-1
χ20111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-11-1-111-1-1
χ21111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-111111-1-1
χ22111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11111-1-111-1-111-1-11111-1-1111-1-1-111-1-1
χ23111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-1-111111111-1-1-11-1-1-1-111
χ24111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-111
χ25111111111-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11-1-111-1111-1-11-1-1-1-1-111-1-111-11-11-111-1
χ26111111111-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1111-1-111-11-1-1-1-11-11111-1-111-1-11-11-1-111-1
χ27111111111-1-1-1-1-1-1-1-111111-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1111-1-1111-111-1-1-11-1-111-1-1-1-111-111-11-1-11
χ28111111111-1-1-1-1-1-1-1-111111-1-11111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-11-1-1111-1-1-1-1-1-1111-1-11111-1-11-1-111-1-11
χ29111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111111-1-1-11-1-1111-111-1-111-1-1111-11-11-1-11
χ30111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1111-1-1-1111111-1-1-111-1-111-1-1-11-111-1-11
χ31111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-11-1-1-111-111111-1-1-1-1111-1-11-111-1
χ32111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-11-11111-11-1-1-1-11111-1-1-111-1-111-1
χ3322222222-222222222-2-2-222-2-200002222-2-2222200000000000000000000-20000-2-20000-2-2000000000000000000
χ3422222222-222222222-2-2-222-2-20000-2-2-2-2-2-2-2-2-2-200000000000000000000-2000022000022000000000000000000
χ3522222222-22222-2-2-2-2-2-2-2-2-2-2-2000022-2-22222-2-20000000000000000000020000-220000-22000000000000000000
χ3622222222-22222-2-2-2-2-2-2-2-2-2-2-20000-2-22222-2-22200000000000000000000200002-200002-2000000000000000000
χ3722222222-2-2-2-2-22222-2-2-2-2-22200002222-2-2-2-2-2-20000000000000000000020000220000-2-2000000000000000000
χ3822222222-2-2-2-2-22222-2-2-2-2-2220000-2-2-2-2-2-222220000000000000000000020000-2-2000022000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-2-2-22222000022-2-222-2-22200000000000000000000-200002-20000-22000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-222220000-2-2222222-2-200000000000000000000-20000-2200002-2000000000000000000
χ412-222-2-22-202i2i−2i−2i22-2-20002i−2i0000002-22-2002i−2i2i−2ii2i2−i2−i222−2−2i2i2−i2−i2i2i2−i2−i200000000000000000002−22−2i2−i22−200000000
χ422-222-2-22-202i2i−2i−2i22-2-20002i−2i0000002-22-2002i−2i2i−2i−i2−i2i2i2−2−222−i2−i2i2i2−i2−i2i2i20000000000000000000−22−22−i2i2−2200000000
χ432-222-2-22-202i2i−2i−2i22-2-20002i−2i000000-22-2200−2i2i−2i2ii2i2−i2−i222−2−2−i2−i2i2i2−i2−i2i2i20000000000000000000−22−22i2−i22−200000000
χ442-222-2-22-202i2i−2i−2i22-2-20002i−2i000000-22-2200−2i2i−2i2i−i2−i2i2i2−2−222i2i2−i2−i2i2i2−i2−i200000000000000000002−22−2−i2i2−2200000000
χ452-222-2-22-202i2i−2i−2i-2-222000−2i2i0000002-2-22002i−2i−2i2ii2i2−i2−i222−2−2i2i2−i2−i2−i2−i2i2i200000000000000000002−2−22−i2i2−2200000000
χ462-222-2-22-202i2i−2i−2i-2-222000−2i2i0000002-2-22002i−2i−2i2i−i2−i2i2i2−2−222−i2−i2i2i2i2i2−i2−i20000000000000000000−222−2i2−i22−200000000
χ472-222-2-22-202i2i−2i−2i-2-222000−2i2i000000-222-200−2i2i2i−2ii2i2−i2−i222−2−2−i2−i2i2i2i2i2−i2−i20000000000000000000−222−2−i2i2−2200000000
χ482-222-2-22-202i2i−2i−2i-2-222000−2i2i000000-222-200−2i2i2i−2i−i2−i2i2i2−2−222i2i2−i2−i2−i2−i2i2i200000000000000000002−2−22i2−i22−200000000
χ492-222-2-22-20−2i−2i2i2i22-2-2000−2i2i0000002-22-200−2i2i−2i2ii2i2−i2−i2−2−222i2i2−i2−i2i2i2−i2−i20000000000000000000−22−22i2−i2−2200000000
χ502-222-2-22-20−2i−2i2i2i22-2-2000−2i2i0000002-22-200−2i2i−2i2i−i2−i2i2i222−2−2−i2−i2i2i2−i2−i2i2i200000000000000000002−22−2−i2i22−200000000
χ512-222-2-22-20−2i−2i2i2i22-2-2000−2i2i000000-22-22002i−2i2i−2ii2i2−i2−i2−2−222−i2−i2i2i2−i2−i2i2i200000000000000000002−22−2i2−i2−2200000000
χ522-222-2-22-20−2i−2i2i2i22-2-2000−2i2i000000-22-22002i−2i2i−2i−i2−i2i2i222−2−2i2i2−i2−i2i2i2−i2−i20000000000000000000−22−22−i2i22−200000000
χ532-222-2-22-20−2i−2i2i2i-2-2220002i−2i0000002-2-2200−2i2i2i−2ii2i2−i2−i2−2−222i2i2−i2−i2−i2−i2i2i20000000000000000000−222−2−i2i22−200000000
χ542-222-2-22-20−2i−2i2i2i-2-2220002i−2i0000002-2-2200−2i2i2i−2i−i2−i2i2i222−2−2−i2−i2i2i2i2i2−i2−i200000000000000000002−2−22i2−i2−2200000000
χ552-222-2-22-20−2i−2i2i2i-2-2220002i−2i000000-222-2002i−2i−2i2ii2i2−i2−i2−2−222−i2−i2i2i2i2i2−i2−i200000000000000000002−2−22−i2i22−200000000
χ562-222-2-22-20−2i−2i2i2i-2-2220002i−2i000000-222-2002i−2i−2i2i−i2−i2i2i222−2−2i2i2−i2−i2−i2−i2i2i20000000000000000000−222−2i2−i2−2200000000
χ572-22-222-2-2-22-22-200002-22002-222-2-200000000002i−2i2i−2i2i−2i2i−2i00000000000002-200002i−2i00002i−2i0000000000000000
χ582-22-222-2-2-22-22-200002-22002-222-2-20000000000−2i2i−2i2i−2i2i−2i2i00000000000002-20000−2i2i0000−2i2i0000000000000000
χ592-22-222-2-2-22-22-200002-22002-2-2-22200000000002i−2i2i−2i2i−2i2i−2i0000000000000-220000−2i2i0000−2i2i0000000000000000
χ602-22-222-2-2-22-22-200002-22002-2-2-2220000000000−2i2i−2i2i−2i2i−2i2i0000000000000-2200002i−2i00002i−2i0000000000000000
χ612-22-222-2-2-2-22-2200002-2200-2222-2-200000000002i−2i2i−2i−2i2i−2i2i0000000000000-2200002i−2i0000−2i2i0000000000000000
χ622-22-222-2-2-2-22-2200002-2200-2222-2-20000000000−2i2i−2i2i2i−2i2i−2i0000000000000-220000−2i2i00002i−2i0000000000000000
χ632-22-222-2-2-2-22-2200002-2200-22-2-22200000000002i−2i2i−2i−2i2i−2i2i00000000000002-20000−2i2i00002i−2i0000000000000000
χ642-22-222-2-2-2-22-2200002-2200-22-2-2220000000000−2i2i−2i2i2i−2i2i−2i00000000000002-200002i−2i0000−2i2i0000000000000000
χ652-2-2-22-222-200002-22-2-22200002-22-200002-20000000000002-22-22-22-22-22-20000000002-200000000000000000000
χ662-2-2-22-222-200002-22-2-22200002-22-200002-2000000000000-22-22-22-22-22-220000000002-200000000000000000000
χ672-2-2-22-222-200002-22-2-2220000-22-2200002-20000000000002-22-22-22-2-22-22000000000-2200000000000000000000
χ682-2-2-22-222-200002-22-2-2220000-22-2200002-2000000000000-22-22-22-222-22-2000000000-2200000000000000000000
χ692-2-2-22-222-20000-22-22-22200002-22-20000-220000000000002-22-2-22-222-2-22000000000-2200000000000000000000
χ702-2-2-22-222-20000-22-22-22200002-22-20000-22000000000000-22-222-22-2-222-2000000000-2200000000000000000000
χ712-2-2-22-222-20000-22-22-2220000-22-220000-220000000000002-22-2-22-22-222-20000000002-200000000000000000000
χ722-2-2-22-222-20000-22-22-2220000-22-220000-22000000000000-22-222-22-22-2-220000000002-200000000000000000000
χ73444-4-4-4-4404i−4i−4i4i000000000000000000000000022−22−2222−2i22i22i2−2i20000000000000000000000000000000000000000000
χ74444-4-4-4-4404i−4i−4i4i0000000000000000000000000−222222−222i2−2i2−2i22i20000000000000000000000000000000000000000000
χ75444-4-4-4-440−4i4i4i−4i000000000000000000000000022−22−22222i2−2i2−2i22i20000000000000000000000000000000000000000000
χ76444-4-4-4-440−4i4i4i−4i0000000000000000000000000−222222−22−2i22i22i2−2i20000000000000000000000000000000000000000000
χ7744-444-4-4-4400000000-4-4400004-4-440000000000000000000000000000000000000000000000000000000000000
χ7844-444-4-4-4400000000-4-440000-444-40000000000000000000000000000000000000000000000000000000000000
χ7944-444-4-4-4-40000000044-4000000000000000000000000000000000000000004-400000000000000000000000000
χ8044-444-4-4-4-40000000044-400000000000000000000000000000000000000000-4400000000000000000000000000
χ8144-4-4-444-4000004-4-44000000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000
χ8244-4-4-444-4000004-4-4400000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000
χ8344-4-4-444-400000-444-4000000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000
χ8444-4-4-444-400000-444-400000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000
χ854-44-444-4-444-44-40000-44-400-4400000000000000000000000000000000000000000000000000000000000000000
χ864-44-444-4-44-44-440000-44-4004-400000000000000000000000000000000000000000000000000000000000000000
χ874-4-4-44-444400004-44-44-4-4000000000000-440000000000000000000000000000000000000000000000000000000
χ884-4-4-44-44440000-44-444-4-40000000000004-40000000000000000000000000000000000000000000000000000000
χ898-8-88-88-88000000000000000000000000000000000000000000000000000000000000000000000000000000000

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