Finite Group Databasebeta

← Group #6359201

Character table — Group #6359201

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size11112222222222222222222222444444444444444444444444444488888888888888888888161616161616161616161616
order12224444444444888888888888222224444488888888888888888822444444444488888888224444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111-1-1-1-1111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-1111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-11-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-11-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ911111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-11111111-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ1011111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-1-1111-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ1111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-111111111-11-11-1-11111-1-1
χ1211111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1111111111111-11-111-1-1-1-111
χ1311111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11-1-1-1-1-1-1-1-1-1-1111111111-111-1-1111-1-1-1-1-1-1-111111-11-1-1-111-1-111
χ1411111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-1-1111-1-1-1-11111-11-1111-1-111-1-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111111-1-1-11111-1-1-1-1-11-1111-1-1-1-111
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-1-1-1-1-1-1-111111111-11-1-111-1-1-11111111-1-1-1-11-11-1-1-11111-1-1
χ171111-1-1-1-1-1-111111111-1-1-1-11111-111-1-1-1-111111-1-111-1-1-1-11111-1-1-1-1111-11-11-1-11-1-111-1-111-1-111-1-11-11-11-11-1
χ181111-1-1-1-1-1-111111111-1-1-1-11111-111-1-1-1-111111-1-111-1-1-1-11111-1-1-1-1-1-11-11-1-111-11111-1-111-1-1-1-111-11-11-11-11
χ191111-1-1-1-1-1-111111111-1-1-1-11111-1-1-11111-1-1111-1-111-1-1-1-11111-1-1-1-111-11-111-1-11-1-1-1-111-1-111-1-111-11-111-11-1
χ201111-1-1-1-1-1-111111111-1-1-1-11111-1-1-11111-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-11-11-111-111-1-111-1-11111-1-11-11-1-11-11
χ211111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-11111111-1-111-1-11-1-111-1-1-1-11111-1-1-11-11-11-11
χ221111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-11-1-11-111-11111-1-1-1-111-1-1111-11-11-11-1
χ231111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1111111-111-11-1-11-1-1-1-11111-1-1-1-1111-11-1-11-11
χ241111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-111-1-111-111-1-11111-1-111-1-1-11-111-11-1
χ251111-1-1-1-1-1-11111-1-1-1-111111111-111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-111111-11-11-11-1-1-111-1-111-1-1111-1-111-1-111-1-11
χ261111-1-1-1-1-1-11111-1-1-1-111111111-111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-111-11-1-1111-1-1-1-111-1-111-111-1-111-1-111-1
χ271111-1-1-1-1-1-11111-1-1-1-111111111-1-1-11111-1-11-1-11111-1-1-1-1-1-1-1-111111-1-11-111-1-1-11111-1-111-1-1-111-1-111-11-1-11
χ281111-1-1-1-1-1-11111-1-1-1-111111111-1-1-11111-1-11-1-11111-1-1-1-1-1-1-1-11111-11-11-11-1111-1-111-1-111-1-11-1-111-1-11-111-1
χ291111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11111-1-1-1-11-1-111-1-111111111-1-1-1-11-11-1-111-1-1-111-1-11111-1-11-1-11-111-1-111-1
χ301111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11111-1-1-1-11-1-111-1-111111111-1-1-1-1-111-1-11-1111-1-1-1-11111-1-1-111-11-1-111-1-11
χ311111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-111-1-111111111-1-1-1-11-1-111-11-1-1-11111-1-1-1-111-111-11-1-11-111-1
χ321111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-111-1-111111111-1-1-1-1-11-111-1-1111-1-111-1-1-1-1111-1-11-111-11-1-11
χ3322222222-2-222-2-2000000002222-222222222-20000-2-222-2-20000000000-2-2-2-200000000000000000000000000
χ3422222222-2-222-2-2000000002222-2-2-2-2-2-2-2-2-2-20000-2-222-2-20000000000222200000000000000000000000000
χ3522222222-2-222-2-200000000-2-2-2-2-222-2-222-2-2-2000022-2-2220000000000-2-22200000000000000000000000000
χ3622222222-2-222-2-200000000-2-2-2-2-2-2-222-2-222-2000022-2-222000000000022-2-200000000000000000000000000
χ37222222-2-222-2-222222222220000-200000000-2-2-2-2-200000000000000220000-22-2-22-200000000000000000000
χ38222222-2-222-2-222222222220000-200000000-2-2-2-2-200000000000000-2-200002-222-2200000000000000000000
χ39222222-2-222-2-222-2-2-2-2-2-2-2-20000-200000000-22222000000000000002-20000-22-22-2200000000000000000000
χ40222222-2-222-2-222-2-2-2-2-2-2-2-20000-200000000-2222200000000000000-2200002-22-22-200000000000000000000
χ412222-2-222-2-2-2-2222222-2-2-2-20000200000000-2-2-22200000000000000220000-2-22-2-2200000000000000000000
χ422222-2-222-2-2-2-2222222-2-2-2-20000200000000-2-2-22200000000000000-2-2000022-222-200000000000000000000
χ432222-2-222-2-2-2-222-2-2-2-222220000200000000-222-2-2000000000000002-20000-2-2222-200000000000000000000
χ442222-2-222-2-2-2-222-2-2-2-222220000200000000-222-2-200000000000000-22000022-2-2-2200000000000000000000
χ452222-2-2-2-22222-2-2000000002222222-2-2-2-222-20000-2-2-2-2220000000000-22-2200000000000000000000000000
χ462222-2-2-2-22222-2-20000000022222-2-22222-2-2-20000-2-2-2-22200000000002-22-200000000000000000000000000
χ472222-2-2-2-22222-2-200000000-2-2-2-222222-2-2-2-2-200002222-2-20000000000-222-200000000000000000000000000
χ482222-2-2-2-22222-2-200000000-2-2-2-22-2-2-2-22222-200002222-2-200000000002-2-2200000000000000000000000000
χ4922-2-22i−2i2i−2i002-20022−2−2i2i2−i2−i22i2i−2i−2i02-22-22i−2i2i−2i02−2i2−i2002-200i2i2−i2−i222−2−20000000000002−2i2−i2i2−i22−2000000000000
χ5022-2-22i−2i2i−2i002-20022−2−2i2i2−i2−i22i2i−2i−2i0-22-22−2i2i−2i2i02−2i2−i2002-200i2i2−i2−i222−2−2000000000000−22−i2i2−i2i2−22000000000000
χ5122-2-22i−2i2i−2i002-20022−2−2i2i2−i2−i2−2i−2i2i2i02-2-222i−2i−2i2i02−2i2−i200-2200−i2−i2i2i2−2−2220000000000002−2i2−i2−i2i2−22000000000000
χ5222-2-22i−2i2i−2i002-20022−2−2i2i2−i2−i2−2i−2i2i2i0-222-2−2i2i2i−2i02−2i2−i200-2200−i2−i2i2i2−2−222000000000000−22−i2i2i2−i22−2000000000000
χ5322-2-22i−2i2i−2i002-200−2−222−i2−i2i2i22i2i−2i−2i02-22-22i−2i2i−2i0−22−i2i2002-200−i2−i2i2i2−2−222000000000000−22−i2i2−i2i2−22000000000000
χ5422-2-22i−2i2i−2i002-200−2−222−i2−i2i2i22i2i−2i−2i0-22-22−2i2i−2i2i0−22−i2i2002-200−i2−i2i2i2−2−2220000000000002−2i2−i2i2−i22−2000000000000
χ5522-2-22i−2i2i−2i002-200−2−222−i2−i2i2i2−2i−2i2i2i02-2-222i−2i−2i2i0−22−i2i200-2200i2i2−i2−i222−2−2000000000000−22−i2i2i2−i22−2000000000000
χ5622-2-22i−2i2i−2i002-200−2−222−i2−i2i2i2−2i−2i2i2i0-222-2−2i2i2i−2i0−22−i2i200-2200i2i2−i2−i222−2−20000000000002−2i2−i2−i2i2−22000000000000
χ5722-2-2−2i2i−2i2i002-20022−2−2−i2−i2i2i22i2i−2i−2i02-2-22−2i2i2i−2i02−2−i2i200-2200i2i2−i2−i2−2−2220000000000002−2−i2i2i2−i2−22000000000000
χ5822-2-2−2i2i−2i2i002-20022−2−2−i2−i2i2i22i2i−2i−2i0-222-22i−2i−2i2i02−2−i2i200-2200i2i2−i2−i2−2−222000000000000−22i2−i2−i2i22−2000000000000
χ5922-2-2−2i2i−2i2i002-20022−2−2−i2−i2i2i2−2i−2i2i2i02-22-2−2i2i−2i2i02−2−i2i2002-200−i2−i2i2i222−2−20000000000002−2−i2i2−i2i22−2000000000000
χ6022-2-2−2i2i−2i2i002-20022−2−2−i2−i2i2i2−2i−2i2i2i0-22-222i−2i2i−2i02−2−i2i2002-200−i2−i2i2i222−2−2000000000000−22i2−i2i2−i2−22000000000000
χ6122-2-2−2i2i−2i2i002-200−2−222i2i2−i2−i22i2i−2i−2i02-2-22−2i2i2i−2i0−22i2−i200-2200−i2−i2i2i222−2−2000000000000−22i2−i2−i2i22−2000000000000
χ6222-2-2−2i2i−2i2i002-200−2−222i2i2−i2−i22i2i−2i−2i0-222-22i−2i−2i2i0−22i2−i200-2200−i2−i2i2i222−2−20000000000002−2−i2i2i2−i2−22000000000000
χ6322-2-2−2i2i−2i2i002-200−2−222i2i2−i2−i2−2i−2i2i2i02-22-2−2i2i−2i2i0−22i2−i2002-200i2i2−i2−i2−2−222000000000000−22i2−i2i2−i2−22000000000000
χ6422-2-2−2i2i−2i2i002-200−2−222i2i2−i2−i2−2i−2i2i2i0-22-222i−2i2i−2i0−22i2−i2002-200i2i2−i2−i2−2−2220000000000002−2−i2i2−i2i22−2000000000000
χ65444444-4-4-4-4-4-4-4-4000000000000400000000400000000000000000000000000000000000000000000000000
χ664444-4-44444-4-4-4-4000000000000-400000000400000000000000000000000000000000000000000000000000
χ6744-4-44i−4i−4i4i00-44002222−22−222i22i2−2i2−2i200000000000000−2222−2i22i20000000000000000000000000000000000000000000000
χ6844-4-44i−4i−4i4i00-4400−22−222222−2i2−2i22i22i20000000000000022−222i2−2i20000000000000000000000000000000000000000000000
χ6944-4-4−4i4i4i−4i00-44002222−22−22−2i2−2i22i22i200000000000000−22222i2−2i20000000000000000000000000000000000000000000000
χ7044-4-4−4i4i4i−4i00-4400−22−2222222i22i2−2i2−2i20000000000000022−22−2i22i20000000000000000000000000000000000000000000000
χ714-44-400004i−4i000022−2222−222i2−2i22i2−2i222−2222−220000000000000000002i2−2i22-22-22i−2i2i−2i00000000000000000000000000000000
χ724-44-400004i−4i000022−2222−222i2−2i22i2−2i2−2222−2222000000000000000000−2i22i2-22-22−2i2i−2i2i00000000000000000000000000000000
χ734-44-400004i−4i0000−2222−2222−2i22i2−2i22i222−2222−220000000000000000002i2−2i2-22-22−2i2i−2i2i00000000000000000000000000000000
χ744-44-400004i−4i0000−2222−2222−2i22i2−2i22i2−2222−2222000000000000000000−2i22i22-22-22i−2i2i−2i00000000000000000000000000000000
χ754-44-40000−4i4i000022−2222−22−2i22i2−2i22i222−2222−22000000000000000000−2i22i22-22-2−2i2i−2i2i00000000000000000000000000000000
χ764-44-40000−4i4i000022−2222−22−2i22i2−2i22i2−2222−22220000000000000000002i2−2i2-22-222i−2i2i−2i00000000000000000000000000000000
χ774-44-40000−4i4i0000−2222−22222i2−2i22i2−2i222−2222−22000000000000000000−2i22i2-22-222i−2i2i−2i00000000000000000000000000000000
χ784-44-40000−4i4i0000−2222−22222i2−2i22i2−2i2−2222−22220000000000000000002i2−2i22-22-2−2i2i−2i2i00000000000000000000000000000000
χ794-4-44000000004-400004-4-442i2−2i2−2i22i2000000000000002i2−2i200000000−2i22i22i2−2i200000000000000000000000000000000
χ804-4-44000000004-400004-4-44−2i22i22i2−2i200000000000000−2i22i2000000002i2−2i2−2i22i200000000000000000000000000000000
χ814-4-44000000004-40000-444-42i2−2i2−2i22i2000000000000002i2−2i2000000002i2−2i2−2i22i200000000000000000000000000000000
χ824-4-44000000004-40000-444-4−2i22i22i2−2i200000000000000−2i22i200000000−2i22i22i2−2i200000000000000000000000000000000
χ834-4-4400000000-444-4-4400002i2−2i2−2i22i200000000000000−2i22i200002i2−2i2−2i22i2000000000000000000000000000000000000
χ844-4-4400000000-444-4-440000−2i22i22i2−2i2000000000000002i2−2i20000−2i22i22i2−2i2000000000000000000000000000000000000
χ854-4-4400000000-44-444-400002i2−2i2−2i22i200000000000000−2i22i20000−2i22i22i2−2i2000000000000000000000000000000000000
χ864-4-4400000000-44-444-40000−2i22i22i2−2i2000000000000002i2−2i200002i2−2i2−2i22i2000000000000000000000000000000000000

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