Finite Group Databasebeta

← Group #7515493

Character table — Group #7515493

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89
size1111111122222222222244444444444444444444444444444444448888888888888888888888888881616161616161616
order12222222444444444444224444444444444444888888888888888822244444444444444448888888822444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-11-1-1111-1-1-1-1-1-1-1-1-1-11-11-11-11-1
χ3111111111111111111111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1-11-11-11-11
χ51111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-111-1-11111-1-11-1-1-1111111-1-111-1-1-1-1-11-11-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-111-1-1-1-11111111-111-1-1-1-111-1-111-11-1-1-1-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-111-1-1111-11-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-11-1-1-1-1-111-1-111-1-1111-111111-1
χ91111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-11111-1-111-111-111-1-111-1-1-1-1-1-1-1-1111-1-1-1
χ101111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-111-111-11
χ111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1111
χ121111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111111111-111-1-1-1-1-1-1-11111111-1-11-1-11-1
χ131111111111111-1-1-1-111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1111-1-11111-1-11111-11-1-111
χ141111111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111-11111111-1-1-1-111-1-11-1-1-1-111-1
χ151111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1111-1-1111111-1-111-1-11-111-1-1
χ161111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1-11111-1-11
χ17111111111-1-1-1-11111111-1-111-1-111-1-1111111-1-11111-1-1-1-1111111111111-111-1-1-1-1-111-1-1-111-1-111-1-1-1-1-11-1-11-11-1
χ18111111111-1-1-1-11111111-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-111111
χ19111111111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1111111111-1-11-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11-111-11-11
χ20111111111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-11111-1-1-111-1111111-1-11111111-1-1-1-1-1
χ21111111111-1-1-1-11111111-1-1-1-111-1-111111111-1-1111111111111-1-1-1-1-111-1111-1-111-1-1-11-1-111-1-1-1-1-1-1111-11-1-1-1-11
χ22111111111-1-1-1-11111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-11-1-1-1-1-1-1-1111-1-1-1-1111111-1-11111-11-1-1
χ23111111111-1-1-1-11111111-1-1-1-111-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-11-1-111-1-1-111111-1-1-1-1-1-1-1-111-11-11111-1
χ24111111111-1-1-1-11111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-111111111111-1-1-1-1-1-11-111
χ25111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-11-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-111-11
χ26111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-1-11-1-1-111111-1-11-1-1111111-1-1-1-111-111-1-1-1
χ27111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1111-1-111111-1-1-1-11111-1111-1-11-1
χ28111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-111-1-1-1-1111111-1-11111-1-1-1-1-1-11-1-1111
χ29111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11111-1-11111111111-1-1-1-1-1-1-1-11-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-1
χ30111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1111111111-1-1-11-1-111-1-1111-1-1-11111-1-1-1-111-1-111-1-111
χ31111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1111-11111-1-11111-1-11-1-111-1-11
χ32111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-1111-1-1111-1-1-111-1-111-1-1-1-11111-1-111-1-1
χ3322222222-222222222-2-2-2-2-2222222220000-2-2220000000000000000-200-2-2000000-200-200000000000000000000
χ3422222222-222222222-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-222000000000000000020022000000-200200000000000000000000
χ3522222222-22222-2-2-2-2-2-2-2-2-22222-2-2-2-2000022-2-20000000000000000200-2-2000000200200000000000000000000
χ3622222222-22222-2-2-2-2-2-2-2-2-2-2-2-2-22222000022-2-20000000000000000-20022000000200-200000000000000000000
χ3722222222-2-2-2-2-22222-2-2-22222-2-222-2-20000-2-2-2-20000000000000000-200-22000000200200000000000000000000
χ3822222222-2-2-2-2-22222-2-2-222-2-222-2-2220000-2-2-2-200000000000000002002-2000000200-200000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222000022220000000000000000200-22000000-200-200000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2000022220000000000000000-2002-2000000-200200000000000000000000
χ412-222-2-22-202i2i−2i−2i22-2-2000002i−2i2-22i−2i2-20000002i−2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i222−2−200000000000000000002−22−22−2i2−i200000000
χ422-222-2-22-202i2i−2i−2i22-2-2000002i−2i2-22i−2i2-20000002i−2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−2−2220000000000000000000−22−22−22−i2i200000000
χ432-222-2-22-202i2i−2i−2i22-2-200000−2i2i-22−2i2i-220000002i−2ii2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−2−22200000000000000000002−2−222−2−i2i200000000
χ442-222-2-22-202i2i−2i−2i22-2-200000−2i2i-22−2i2i-220000002i−2i−i2−i2i2i2i2i2−i2−i2−i2−i2i2i222−2−20000000000000000000−222−2−22i2−i200000000
χ452-222-2-22-202i2i−2i−2i-2-222000002i−2i2-2−2i2i-22000000−2i2ii2i2−i2−i2i2i2−i2−i2−i2−i2i2i222−2−200000000000000000002−2−22−22−i2i200000000
χ462-222-2-22-202i2i−2i−2i-2-222000002i−2i2-2−2i2i-22000000−2i2i−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−2−2220000000000000000000−222−22−2i2−i200000000
χ472-222-2-22-202i2i−2i−2i-2-22200000−2i2i-222i−2i2-2000000−2i2ii2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−2−22200000000000000000002−22−2−22i2−i200000000
χ482-222-2-22-202i2i−2i−2i-2-22200000−2i2i-222i−2i2-2000000−2i2i−i2−i2i2i2i2i2−i2−i2i2i2−i2−i222−2−20000000000000000000−22−222−2−i2i200000000
χ492-222-2-22-20−2i−2i2i2i22-2-2000002i−2i-222i−2i-22000000−2i2ii2i2−i2−i2−i2−i2i2i2i2i2−i2−i222−2−20000000000000000000−222−2−22−i2i200000000
χ502-222-2-22-20−2i−2i2i2i22-2-2000002i−2i-222i−2i-22000000−2i2i−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−2−22200000000000000000002−2−222−2i2−i200000000
χ512-222-2-22-20−2i−2i2i2i22-2-200000−2i2i2-2−2i2i2-2000000−2i2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2−2220000000000000000000−22−22−22i2−i200000000
χ522-222-2-22-20−2i−2i2i2i22-2-200000−2i2i2-2−2i2i2-2000000−2i2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i222−2−200000000000000000002−22−22−2−i2i200000000
χ532-222-2-22-20−2i−2i2i2i-2-222000002i−2i-22−2i2i2-20000002i−2ii2i2−i2−i2−i2−i2i2i2−i2−i2i2i222−2−20000000000000000000−22−222−2i2−i200000000
χ542-222-2-22-20−2i−2i2i2i-2-222000002i−2i-22−2i2i2-20000002i−2i−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−2−22200000000000000000002−22−2−22−i2i200000000
χ552-222-2-22-20−2i−2i2i2i-2-22200000−2i2i2-22i−2i-220000002i−2ii2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−2−2220000000000000000000−222−22−2−i2i200000000
χ562-222-2-22-20−2i−2i2i2i-2-22200000−2i2i2-22i−2i-220000002i−2i−i2−i2i2i2−i2−i2i2i2i2i2−i2−i222−2−200000000000000000002−2−22−22i2−i200000000
χ572-22-222-2-2200002i−2i2i−2i-2-2200000000002i2i−2i−2i2i−2i002i−2i2i−2i00002-22-2000002-2002-200000000002i−2i0000000000000000
χ582-22-222-2-2200002i−2i2i−2i-2-2200000000002i2i−2i−2i2i−2i00−2i2i−2i2i0000-22-22000002-200-220000000000−2i2i0000000000000000
χ592-22-222-2-2200002i−2i2i−2i-2-220000000000−2i−2i2i2i2i−2i002i−2i2i−2i00002-22-200000-2200-220000000000−2i2i0000000000000000
χ602-22-222-2-2200002i−2i2i−2i-2-220000000000−2i−2i2i2i2i−2i00−2i2i−2i2i0000-22-2200000-22002-200000000002i−2i0000000000000000
χ612-22-222-2-220000−2i2i−2i2i-2-2200000000002i2i−2i−2i−2i2i002i−2i2i−2i0000-22-2200000-22002-20000000000−2i2i0000000000000000
χ622-22-222-2-220000−2i2i−2i2i-2-2200000000002i2i−2i−2i−2i2i00−2i2i−2i2i00002-22-200000-2200-2200000000002i−2i0000000000000000
χ632-22-222-2-220000−2i2i−2i2i-2-220000000000−2i−2i2i2i−2i2i002i−2i2i−2i0000-22-22000002-200-2200000000002i−2i0000000000000000
χ642-22-222-2-220000−2i2i−2i2i-2-220000000000−2i−2i2i2i−2i2i00−2i2i−2i2i00002-22-2000002-2002-20000000000−2i2i0000000000000000
χ652-2-2-2-2222-22-22-200002-222-2000000002-22-2000000002-22-200002-22-20000000002-202-202-2000000000000000000
χ662-2-2-2-2222-22-22-200002-222-2000000002-22-200000000-22-220000-22-22000000000-220-2202-2000000000000000000
χ672-2-2-2-2222-22-22-200002-222-200000000-22-22000000002-22-200002-22-2000000000-220-220-22000000000000000000
χ682-2-2-2-2222-22-22-200002-222-200000000-22-2200000000-22-220000-22-220000000002-202-20-22000000000000000000
χ692-2-2-2-2222-2-22-2200002-22-22000000002-22-2000000002-22-20000-22-220000000002-20-220-22000000000000000000
χ702-2-2-2-2222-2-22-2200002-22-22000000002-22-200000000-22-2200002-22-2000000000-2202-20-22000000000000000000
χ712-2-2-2-2222-2-22-2200002-22-2200000000-22-22000000002-22-20000-22-22000000000-2202-202-2000000000000000000
χ722-2-2-2-2222-2-22-2200002-22-2200000000-22-2200000000-22-2200002-22-20000000002-20-2202-2000000000000000000
χ73444-4-4-4-44000004i−4i−4i4i00000000000000000000022−22−22220000−2i22i22i2−2i2000000000000000000000000000000000000000
χ74444-4-4-4-44000004i−4i−4i4i000000000000000000000−222222−2200002i2−2i2−2i22i2000000000000000000000000000000000000000
χ75444-4-4-4-4400000−4i4i4i−4i00000000000000000000022−22−222200002i2−2i2−2i22i2000000000000000000000000000000000000000
χ76444-4-4-4-4400000−4i4i4i−4i000000000000000000000−222222−220000−2i22i22i2−2i2000000000000000000000000000000000000000
χ7744-44-44-4-44000000004-4-4000000000000000000000000000000000000000004-400000000000000000000000000
χ7844-44-44-4-44000000004-4-400000000000000000000000000000000000000000-4400000000000000000000000000
χ7944-44-44-4-4-400000000-44400000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000000
χ8044-44-44-4-4-400000000-4440000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000
χ8144-4-44-44-404i−4i−4i4i000000000000000000000000000002i2−2i2−2i22i2000022−22−222200000000000000000000000000000000000
χ8244-4-44-44-404i−4i−4i4i00000000000000000000000000000−2i22i22i2−2i20000−222222−2200000000000000000000000000000000000
χ8344-4-44-44-40−4i4i4i−4i000000000000000000000000000002i2−2i2−2i22i20000−222222−2200000000000000000000000000000000000
χ8444-4-44-44-40−4i4i4i−4i00000000000000000000000000000−2i22i22i2−2i2000022−22−222200000000000000000000000000000000000
χ854-44-444-4-4-400004i−4i4i−4i44-400000000000000−4i4i00000000000000000000000000000000000000000000000000000
χ864-44-444-4-4-40000−4i4i−4i4i44-4000000000000004i−4i00000000000000000000000000000000000000000000000000000
χ874-4-4-4-444444-44-40000-44-4-440000000000000000000000000000000000000000000000000000000000000000000
χ884-4-4-4-44444-44-440000-44-44-40000000000000000000000000000000000000000000000000000000000000000000
χ898-8-888-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000

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