Finite Group Databasebeta

← Group #6359213

Character table — Group #6359213

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size11112222222222222222222222444444444444444444444444444488888888888888888888161616161616161616161616
order12222244444444888888888888224444444488888888888888888822244444444488888888224444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-1-1-1-1-11111111111111111111-111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111-1-11-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111
χ71111111111111111111111-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111
χ911111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1
χ1011111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-11111-1-1-1111-1-1-1-1-1-1-1-1-11-1-111-11-1-111
χ1111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-111111111-11-1-111-1111-1-1
χ1211111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111-111-1-11-1-1-111
χ1311111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-11-1-1111-1-1-1-1-1-1-11111-1111-1-1-11-1-111
χ1411111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1111-1-1-1-111111-1-1-1111-111-1-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-111111111-11-1-111111-1-1-11111-1-1-1-11-1-1-1111-1-1-111
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-111111111-1-11-111-1-1-11111111-1-1-1-1-1111-1-1-1111-1-1
χ171111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-111-1-1111-1-111-1-1-1-11111-1-1-1-1-11111-11-1-11-1-111-1-111-1-1111-11-1-1-11-11-1
χ181111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-111-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-111-11111-1-111-1-1-1-1-11-1111-11-11
χ191111-1-1-1-1-1-111111111-1-1-1-11111-1-1-111-1-111111-1-111-1-1-1-11111-1-1-1-1111-1-111-1-11-1-1-1-111-1-111-1-1-11-11111-11-1
χ201111-1-1-1-1-1-111111111-1-1-1-11111-1-1-111-1-111111-1-111-1-1-1-11111-1-1-1-11-1-1-1-11-111-111-1-111-1-111111-11-1-1-1-11-11
χ211111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1111-111-1-11-1-111-1-1-1-111-1-11-11-111-11-11
χ221111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-11-11-111-11111-1-1-1-11111-11-11-1-11-11-1
χ231111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-11111-1-1-1-11111111-11-11-1-11-1-1-1-11111-1-111-11-11-1-1-11-11
χ241111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-11111-1-1-1-111111-1-1-11-1-111-111-1-11111-1-1-1-11-11-1111-11-1
χ251111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-11111-11-111-11-1-1-111-1-111-1-1111-11-1-11-111-1-11
χ261111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1111-1-1111-1-1-1-111-1-111-11-111-11-1-111-1
χ271111-1-1-1-1-1-11111-1-1-1-111111111-1-1-111-1-1111-1-11111-1-1-1-1-1-1-1-1111111-1-1-111-1-1-11111-1-111-1-1-11-111-11-11-1-11
χ281111-1-1-1-1-1-11111-1-1-1-111111111-1-1-111-1-1111-1-11111-1-1-1-1-1-1-1-111111-11-1-11-1111-1-111-1-111-1-11-11-1-11-11-111-1
χ291111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1111-1-111-1-111111111-1-1-1-1-11-11-111-1-1-111-1-11111-1-1-111-1-111-1-111-1
χ301111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1111-1-111-1-111111111-1-1-1-1-1-111-11-1111-1-1-1-11111-1-11-1-111-1-111-1-11
χ311111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11111-1-11-1-111-1-111111111-1-1-1-111-1-11-11-1-1-11111-1-1-1-1111-1-111-1-11-111-1
χ321111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11111-1-11-1-111-1-111111111-1-1-1-11-11-11-1-1111-1-111-1-1-1-111-111-1-111-11-1-11
χ3322222222-2-222-2-222222222000000-2000000-2-2-2-2-200000000000000022000-22-2-22-200000000000000000000
χ3422222222-2-222-2-222222222000000-2000000-2-2-2-2-2000000000000000-2-20002-222-2200000000000000000000
χ3522222222-2-222-2-2-2-2-2-2-2-2-2-2000000-2000000-222220000000000000002-2000-22-22-2200000000000000000000
χ3622222222-2-222-2-2-2-2-2-2-2-2-2-2000000-2000000-22222000000000000000-220002-22-22-200000000000000000000
χ37222222-2-2-2-2-2-222000000002222222-2-222-2-2-20000-2-222-2-200000000200-2-2200000000000000000000000000
χ38222222-2-2-2-2-2-222000000002222-2-2222-2-222-20000-2-222-2-200000000-20022-200000000000000000000000000
χ39222222-2-2-2-2-2-22200000000-2-2-2-2222-2-2-2-222-2000022-2-22200000000200-22-200000000000000000000000000
χ40222222-2-2-2-2-2-22200000000-2-2-2-2-2-222222-2-2-2000022-2-22200000000-2002-2200000000000000000000000000
χ412222-2-22222-2-22200000000222222-2222222-20000-2-2-2-22200000000-200-2-2-200000000000000000000000000
χ422222-2-22222-2-222000000002222-2-2-2-2-2-2-2-2-2-20000-2-2-2-2220000000020022200000000000000000000000000
χ432222-2-22222-2-22200000000-2-2-2-222-222-2-2-2-2-200002222-2-200000000-200-22200000000000000000000000000
χ442222-2-22222-2-22200000000-2-2-2-2-2-2-2-2-22222-200002222-2-2000000002002-2-200000000000000000000000000
χ452222-2-2-2-22222-2-22222-2-2-2-20000002000000-2-2-22200000000000000022000-2-22-2-2200000000000000000000
χ462222-2-2-2-22222-2-22222-2-2-2-20000002000000-2-2-222000000000000000-2-200022-222-200000000000000000000
χ472222-2-2-2-22222-2-2-2-2-2-222220000002000000-222-2-20000000000000002-2000-2-2222-200000000000000000000
χ482222-2-2-2-22222-2-2-2-2-2-222220000002000000-222-2-2000000000000000-2200022-2-2-2200000000000000000000
χ4922-2-2002i−2i2i−2i002-222−2−2i2i2−i2−i222-2-22-202i−2i2-22i−2i02−2i2−i200002i−2i22−2−2i2i2−i2−i20000000000002−2i2−i22−2i2−i2000000000000
χ5022-2-2002i−2i2i−2i002-222−2−2i2i2−i2−i222-2-2-220−2i2i-22−2i2i02−2i2−i200002i−2i22−2−2i2i2−i2−i2000000000000−22−i2i2−22−i2i2000000000000
χ5122-2-2002i−2i2i−2i002-222−2−2i2i2−i2−i2-2-2222-202i−2i-22−2i2i02−2i2−i20000−2i2i−2−222−i2−i2i2i20000000000002−2i2−i2−22−i2i2000000000000
χ5222-2-2002i−2i2i−2i002-222−2−2i2i2−i2−i2-2-222-220−2i2i2-22i−2i02−2i2−i20000−2i2i−2−222−i2−i2i2i2000000000000−22−i2i22−2i2−i2000000000000
χ5322-2-2002i−2i2i−2i002-2−2−222−i2−i2i2i222-2-22-202i−2i2-22i−2i0−22−i2i200002i−2i−2−222−i2−i2i2i2000000000000−22−i2i2−22−i2i2000000000000
χ5422-2-2002i−2i2i−2i002-2−2−222−i2−i2i2i222-2-2-220−2i2i-22−2i2i0−22−i2i200002i−2i−2−222−i2−i2i2i20000000000002−2i2−i22−2i2−i2000000000000
χ5522-2-2002i−2i2i−2i002-2−2−222−i2−i2i2i2-2-2222-202i−2i-22−2i2i0−22−i2i20000−2i2i22−2−2i2i2−i2−i2000000000000−22−i2i22−2i2−i2000000000000
χ5622-2-2002i−2i2i−2i002-2−2−222−i2−i2i2i2-2-222-220−2i2i2-22i−2i0−22−i2i20000−2i2i22−2−2i2i2−i2−i20000000000002−2i2−i2−22−i2i2000000000000
χ5722-2-200−2i2i−2i2i002-222−2−2−i2−i2i2i222-2-22-20−2i2i2-2−2i2i02−2−i2i20000−2i2i22−2−2−i2−i2i2i20000000000002−2−i2i22−2−i2i2000000000000
χ5822-2-200−2i2i−2i2i002-222−2−2−i2−i2i2i222-2-2-2202i−2i-222i−2i02−2−i2i20000−2i2i22−2−2−i2−i2i2i2000000000000−22i2−i2−22i2−i2000000000000
χ5922-2-200−2i2i−2i2i002-222−2−2−i2−i2i2i2-2-2222-20−2i2i-222i−2i02−2−i2i200002i−2i−2−222i2i2−i2−i20000000000002−2−i2i2−22i2−i2000000000000
χ6022-2-200−2i2i−2i2i002-222−2−2−i2−i2i2i2-2-222-2202i−2i2-2−2i2i02−2−i2i200002i−2i−2−222i2i2−i2−i2000000000000−22i2−i22−2−i2i2000000000000
χ6122-2-200−2i2i−2i2i002-2−2−222i2i2−i2−i222-2-22-20−2i2i2-2−2i2i0−22i2−i20000−2i2i−2−222i2i2−i2−i2000000000000−22i2−i2−22i2−i2000000000000
χ6222-2-200−2i2i−2i2i002-2−2−222i2i2−i2−i222-2-2-2202i−2i-222i−2i0−22i2−i20000−2i2i−2−222i2i2−i2−i20000000000002−2−i2i22−2−i2i2000000000000
χ6322-2-200−2i2i−2i2i002-2−2−222i2i2−i2−i2-2-2222-20−2i2i-222i−2i0−22i2−i200002i−2i22−2−2−i2−i2i2i2000000000000−22i2−i22−2−i2i2000000000000
χ6422-2-200−2i2i−2i2i002-2−2−222i2i2−i2−i2-2-222-2202i−2i2-2−2i2i0−22i2−i200002i−2i22−2−2−i2−i2i2i20000000000002−2−i2i2−22i2−i2000000000000
χ65444444-4-444-4-4-4-400000000000000-4000000400000000000000000000000000000000000000000000000000
χ664444-4-444-4-4-4-4-4-4000000000000004000000400000000000000000000000000000000000000000000000000
χ6744-4-4004i−4i−4i4i00-442222−22−222i22i2−2i2−2i200000000000000−2222−2i22i20000000000000000000000000000000000000000000000
χ6844-4-4004i−4i−4i4i00-44−22−222222−2i2−2i22i22i20000000000000022−222i2−2i20000000000000000000000000000000000000000000000
χ6944-4-400−4i4i4i−4i00-442222−22−22−2i2−2i22i22i200000000000000−22222i2−2i20000000000000000000000000000000000000000000000
χ7044-4-400−4i4i4i−4i00-44−22−2222222i22i2−2i2−2i20000000000000022−22−2i22i20000000000000000000000000000000000000000000000
χ714-44-40000004-40000004i−4i4i−4i2i2−2i22i2−2i2000000000000002i2−2i20000000022−2222−2200000000000000000000000000000000
χ724-44-40000004-40000004i−4i4i−4i−2i22i2−2i22i200000000000000−2i22i200000000−2222−222200000000000000000000000000000000
χ734-44-40000004-4000000−4i4i−4i4i2i2−2i22i2−2i2000000000000002i2−2i200000000−2222−222200000000000000000000000000000000
χ744-44-40000004-4000000−4i4i−4i4i−2i22i2−2i22i200000000000000−2i22i20000000022−2222−2200000000000000000000000000000000
χ754-44-4000000-44004-44-400002i2−2i22i2−2i200000000000000−2i22i200002i2−2i22i2−2i2000000000000000000000000000000000000
χ764-44-4000000-44004-44-40000−2i22i2−2i22i2000000000000002i2−2i20000−2i22i2−2i22i2000000000000000000000000000000000000
χ774-44-4000000-4400-44-4400002i2−2i22i2−2i200000000000000−2i22i20000−2i22i2−2i22i2000000000000000000000000000000000000
χ784-44-4000000-4400-44-440000−2i22i2−2i22i2000000000000002i2−2i200002i2−2i22i2−2i2000000000000000000000000000000000000
χ794-4-444-40000000022−22−222222−22−22222i2−2i2−2i22i200000000000000002i2−2i2002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ804-4-444-40000000022−22−222222−22−2222−2i22i22i2−2i20000000000000000−2i22i200−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ814-4-444-400000000−222222−22−222222−222i2−2i2−2i22i200000000000000002i2−2i200−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ824-4-444-400000000−222222−22−222222−22−2i22i22i2−2i20000000000000000−2i22i2002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ834-4-44-440000000022−22−2222−222222−222i2−2i2−2i22i20000000000000000−2i22i2002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ844-4-44-440000000022−22−2222−222222−22−2i22i22i2−2i200000000000000002i2−2i200−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ854-4-44-4400000000−222222−2222−22−22222i2−2i2−2i22i20000000000000000−2i22i200−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ864-4-44-4400000000−222222−2222−22−2222−2i22i22i2−2i200000000000000002i2−2i2002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000

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