Finite Group Databasebeta

← Group #6359175

Character table — Group #6359175

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size11112222222222222222222222444444444444444444444444444488888888888888888888161616161616161616161616
order12222244444444888888888888444444444488888888888888888822224444444488888888444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11-1-1-1-11111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111-1-1-1-111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ911111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ1011111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-111-1-11111-1-1
χ1211111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-111
χ1311111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-1-1-1-1-1-1-1-1-1-1111111111-111-1-11-111-1-1-1-1-1-1111111-1-1-1-111-1-111
χ1411111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-1-1-1-1-1-1-1-1-1-1111111111-1-1-1111-1-1-111-1-1-1-11111-1-11111-1-111-1-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1111-1-11111-1-1-1-1-1-11111-1-1-1-111
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111111111-11-1-111-11-1-1111111-1-1-1-111-1-1-1-11111-1-1
χ171111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-11-11-1111-11-111-1-111-1-11-11-11-11-11-11-1
χ181111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-11-1111-11-1111-1-111-1-1-11-11-11-11-11-11
χ191111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-1111-11-1-1-11-11-1-1-111-1-111-11-11-11-111-11-1
χ201111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-111-11-11-1-1-11-11-1-111-1-1111-11-11-11-1-11-11
χ211111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-111-11-11-11-11-111-1-1-1-1111-11-1-11-11-11-11
χ221111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-11-11-111-1-11-1111-1-1-1-111-11-111-11-11-11-1
χ231111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-111-1-1111-1-1-1-11111-1-1-1-111111-11-11-1-111-11-1-1-11111-1-1-11-111-11-1-11-11
χ241111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-111-1-1111-1-1-1-11111-1-1-1-111111-1-11-11-11-11-11-1-11111-1-11-11-1-11-111-11-1
χ251111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-11-1-11111-1-11-1-111-1-1111-1-111-1-111-1-11
χ261111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-111-111-111-1-1-111-1-111-111-1-111-1-111-1
χ271111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111111-1-11-1-11-1-1111-1-111-1-1-111-1-111-11-1-11
χ281111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1111111-111-1-1-1-111-111-1-111-1-11-1-111-1-11-111-1
χ291111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1111-1-111-1-111111111-1-1-1-1-111-1-111-11-1-11-1-11111-1-11-1-11-111-1-111-1
χ301111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1111-1-111-1-111111111-1-1-1-1-11-111-11-1-111-1-1-11111-1-1-111-11-1-111-1-11
χ311111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-111-1-11-1-111-1-111111111-1-1-1-11-11-1-11-111-1-1111-1-1-1-111-111-11-1-11-111-1
χ321111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-111-1-11-1-111-1-111111111-1-1-1-11-1-111-1-11-111-111-1-1-1-1111-1-11-111-11-1-11
χ33222222-2-22222-2-20000000022222222-22222-20000-2-222-2-200000000-2-20000-2-2000000000000000000000000
χ34222222-2-22222-2-2000000002222-2-2-2-2-2-2-2-2-2-20000-2-222-2-20000000022000022000000000000000000000000
χ35222222-2-22222-2-200000000-2-2-2-222-2-2-222-2-2-2000022-2-22200000000-220000-22000000000000000000000000
χ36222222-2-22222-2-200000000-2-2-2-2-2-222-2-2-222-2000022-2-222000000002-200002-2000000000000000000000000
χ37222222-2-2-2-2-2-2222222-2-2-2-20000000020000-2-2-22200000000000000002-22-200-22-2200000000000000000000
χ38222222-2-2-2-2-2-2222222-2-2-2-20000000020000-2-2-2220000000000000000-22-22002-22-200000000000000000000
χ39222222-2-2-2-2-2-222-2-2-2-222220000000020000-222-2-200000000000000002-2-2200-222-200000000000000000000
χ40222222-2-2-2-2-2-222-2-2-2-222220000000020000-222-2-20000000000000000-222-2002-2-2200000000000000000000
χ412222-2-22222-2-2222222222200000000-20000-2-2-2-2-20000000000000000222200-2-2-2-200000000000000000000
χ422222-2-22222-2-2222222222200000000-20000-2-2-2-2-20000000000000000-2-2-2-200222200000000000000000000
χ432222-2-22222-2-222-2-2-2-2-2-2-2-200000000-20000-22222000000000000000022-2-200-2-22200000000000000000000
χ442222-2-22222-2-222-2-2-2-2-2-2-2-200000000-20000-222220000000000000000-2-2220022-2-200000000000000000000
χ452222-2-222-2-222-2-200000000222222222-2-2-2-2-20000-2-2-2-22200000000220000-2-2000000000000000000000000
χ462222-2-222-2-222-2-2000000002222-2-2-2-222222-20000-2-2-2-22200000000-2-2000022000000000000000000000000
χ472222-2-222-2-222-2-200000000-2-2-2-222-2-22-2-222-200002222-2-2000000002-20000-22000000000000000000000000
χ482222-2-222-2-222-2-200000000-2-2-2-2-2-222222-2-2-200002222-2-200000000-2200002-2000000000000000000000000
χ492-22-22-2002-22-200i2i2−i2−i2i2i2−i2−i222-2-22i−2i2i−2i02i−2i2i−2i0i2−i2i2−i2002-200i2i2−i2−i2i2i2−i2−i20000000000002−22−22−22−2000000000000
χ502-22-22-2002-22-200i2i2−i2−i2i2i2−i2−i222-2-2−2i2i−2i2i0−2i2i−2i2i0i2−i2i2−i2002-200i2i2−i2−i2i2i2−i2−i2000000000000−22−22−22−22000000000000
χ512-22-22-2002-22-200i2i2−i2−i2i2i2−i2−i2-2-2222i−2i−2i2i02i−2i−2i2i0i2−i2i2−i200-2200−i2−i2i2i2−i2−i2i2i20000000000002−22−2−22−22000000000000
χ522-22-22-2002-22-200i2i2−i2−i2i2i2−i2−i2-2-222−2i2i2i−2i0−2i2i2i−2i0i2−i2i2−i200-2200−i2−i2i2i2−i2−i2i2i2000000000000−22−222−22−2000000000000
χ532-22-22-2002-22-200−i2−i2i2i2−i2−i2i2i222-2-22i−2i2i−2i02i−2i2i−2i0−i2i2−i2i2002-200−i2−i2i2i2−i2−i2i2i2000000000000−22−22−22−22000000000000
χ542-22-22-2002-22-200−i2−i2i2i2−i2−i2i2i222-2-2−2i2i−2i2i0−2i2i−2i2i0−i2i2−i2i2002-200−i2−i2i2i2−i2−i2i2i20000000000002−22−22−22−2000000000000
χ552-22-22-2002-22-200−i2−i2i2i2−i2−i2i2i2-2-2222i−2i−2i2i02i−2i−2i2i0−i2i2−i2i200-2200i2i2−i2−i2i2i2−i2−i2000000000000−22−222−22−2000000000000
χ562-22-22-2002-22-200−i2−i2i2i2−i2−i2i2i2-2-222−2i2i2i−2i0−2i2i2i−2i0−i2i2−i2i200-2200i2i2−i2−i2i2i2−i2−i20000000000002−22−2−22−22000000000000
χ572-22-2-2200-222-200i2i2−i2−i2−i2−i2i2i222-2-22i−2i2i−2i0−2i2i−2i2i0i2−i2−i2i200-2200i2i2−i2−i2−i2−i2i2i20000000000002−2−222−2−22000000000000
χ582-22-2-2200-222-200i2i2−i2−i2−i2−i2i2i222-2-2−2i2i−2i2i02i−2i2i−2i0i2−i2−i2i200-2200i2i2−i2−i2−i2−i2i2i2000000000000−222−2−222−2000000000000
χ592-22-2-2200-222-200i2i2−i2−i2−i2−i2i2i2-2-2222i−2i−2i2i0−2i2i2i−2i0i2−i2−i2i2002-200−i2−i2i2i2i2i2−i2−i20000000000002−2−22−222−2000000000000
χ602-22-2-2200-222-200i2i2−i2−i2−i2−i2i2i2-2-222−2i2i2i−2i02i−2i−2i2i0i2−i2−i2i2002-200−i2−i2i2i2i2i2−i2−i2000000000000−222−22−2−22000000000000
χ612-22-2-2200-222-200−i2−i2i2i2i2i2−i2−i222-2-22i−2i2i−2i0−2i2i−2i2i0−i2i2i2−i200-2200−i2−i2i2i2i2i2−i2−i2000000000000−222−2−222−2000000000000
χ622-22-2-2200-222-200−i2−i2i2i2i2i2−i2−i222-2-2−2i2i−2i2i02i−2i2i−2i0−i2i2i2−i200-2200−i2−i2i2i2i2i2−i2−i20000000000002−2−222−2−22000000000000
χ632-22-2-2200-222-200−i2−i2i2i2i2i2−i2−i2-2-2222i−2i−2i2i0−2i2i2i−2i0−i2i2i2−i2002-200i2i2−i2−i2−i2−i2i2i2000000000000−222−22−2−22000000000000
χ642-22-2-2200-222-200−i2−i2i2i2i2i2−i2−i2-2-222−2i2i2i−2i02i−2i−2i2i0−i2i2i2−i2002-200i2i2−i2−i2−i2−i2i2i20000000000002−2−22−222−2000000000000
χ6544444444-4-4-4-4-4-40000000000000000-40000400000000000000000000000000000000000000000000000000
χ664444-4-4-4-444-4-4-4-4000000000000000040000400000000000000000000000000000000000000000000000000
χ6744-4-4004-400000022−2222−2222−2222−2222−2222−2200000000000000000022−222-22-22-22-200000000000000000000000000000000
χ6844-4-4004-400000022−2222−2222−2222−22−2222−2222000000000000000000−2222-22-22-22-2200000000000000000000000000000000
χ6944-4-4004-4000000−2222−2222−2222−222222−2222−2200000000000000000022−22-22-22-22-2200000000000000000000000000000000
χ7044-4-4004-4000000−2222−2222−2222−2222−2222−2222000000000000000000−22222-22-22-22-200000000000000000000000000000000
χ7144-4-400-4400000022−2222−22−2222−222222−2222−22000000000000000000−22222-22-2-22-2200000000000000000000000000000000
χ7244-4-400-4400000022−2222−22−2222−2222−2222−222200000000000000000022−22-22-222-22-200000000000000000000000000000000
χ7344-4-400-44000000−2222−222222−2222−2222−2222−22000000000000000000−2222-22-222-22-200000000000000000000000000000000
χ7444-4-400-44000000−2222−222222−2222−22−2222−222200000000000000000022−222-22-2-22-2200000000000000000000000000000000
χ754-44-44-400-44-44002i22i2−2i2−2i2−2i2−2i22i22i200000000000000−2i22i22i2−2i20000000000000000000000000000000000000000000000
χ764-44-44-400-44-4400−2i2−2i22i22i22i22i2−2i2−2i2000000000000002i2−2i2−2i22i20000000000000000000000000000000000000000000000
χ774-44-4-44004-4-44002i22i2−2i2−2i22i22i2−2i2−2i200000000000000−2i22i2−2i22i20000000000000000000000000000000000000000000000
χ784-44-4-44004-4-4400−2i2−2i22i22i2−2i2−2i22i22i2000000000000002i2−2i22i2−2i20000000000000000000000000000000000000000000000
χ794-4-44000000004-400004i−4i−4i4i22−22−22220000000000000022−22000000002i2−2i2−2i22i200000000000000000000000000000000
χ804-4-44000000004-400004i−4i−4i4i−222222−2200000000000000−222200000000−2i22i22i2−2i200000000000000000000000000000000
χ814-4-44000000004-40000−4i4i4i−4i22−22−22220000000000000022−2200000000−2i22i22i2−2i200000000000000000000000000000000
χ824-4-44000000004-40000−4i4i4i−4i−222222−2200000000000000−2222000000002i2−2i2−2i22i200000000000000000000000000000000
χ834-4-4400000000-444i−4i−4i4i000022−22−222200000000000000−222200002i2−2i2−2i22i2000000000000000000000000000000000000
χ844-4-4400000000-444i−4i−4i4i0000−222222−220000000000000022−220000−2i22i22i2−2i2000000000000000000000000000000000000
χ854-4-4400000000-44−4i4i4i−4i000022−22−222200000000000000−22220000−2i22i22i2−2i2000000000000000000000000000000000000
χ864-4-4400000000-44−4i4i4i−4i0000−222222−220000000000000022−2200002i2−2i2−2i22i2000000000000000000000000000000000000

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