Finite Group Databasebeta

← Group #6359194

Character table — Group #6359194

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size11112222222222222222222222444444444444444444444444444488888888888888888888161616161616161616161616
order12222244444444888888888888222244444488888888888888888822224444444488888888224444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11-1-1-1-11111111111111111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
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
χ5111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-111-1-1111-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-11-1-11111-11-1-1-1-1-1-1-1-1-11-1-111-11-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11-111111111-11-1-111-1111-1-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-11111111111-111-1-11-1-1-111
χ911111111111111-1-1-1-11111111111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1111111-1-1-1-1111-11-1-1-1-1-1-1-1
χ1011111111111111-1-1-1-11111111111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-11-11111111
χ1111111111111111-1-1-1-111111111-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1111-1-1-1-11111-1-1-11-1111-1-1-1-1
χ1211111111111111-1-1-1-111111111-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-1-1-1-1-1-11111111-11-1-1-11111
χ1311111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-11-11-1-1-1-1-111111-11-1-11-11-1-111
χ1411111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1111-1-11-1-1-1-11111-11-111-11-111-1-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-111-11111-1-1-1-1-11-111-11-1-1-111
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-11-111111-1-1-1-11-11-1-11-1111-1-1
χ171111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-111111-1-111-1-1-1-11111-1-1-1-1-11111-11-11-1-1-111-1-111-1-111-1-1-1-1111-11-1
χ181111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-111111-1-111-1-1-1-11111-1-1-1-1-11-1-1-11-111-11111-1-111-1-1-1-11111-1-1-11-11
χ191111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-111-1-1111-1-111-1-1-1-11111-1-1-1-11-1111-11-1-11-1-1-1-111-1-111-1-11111-1-11-11-1
χ201111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-111-1-1111-1-111-1-1-1-11111-1-1-1-11-1-1-1-11-11-1111-1-111-1-11111-1-1-1-111-11-11
χ211111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-111-11-1-111-1-11-1-111-1-1111-1-1-1111-11-1-11
χ221111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-11-11-111-11-11-1-1-111-1-111-1111-1-1-11-111-1
χ231111-1-1-1-1-1-111111111-1-1-1-11111-1-111-111-1-11-1-11111-1-1-1-1-1-1-1-111111-11-11-1-11-11-1111-1-111-1-1-1111-1-1-111-1-11
χ241111-1-1-1-1-1-111111111-1-1-1-11111-1-111-111-1-11-1-11111-1-1-1-1-1-1-1-111111-1-11-111-1-111-111-1-111-1-11-1-1-1111-1-111-1
χ251111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1111-11-111-1-111-1-1-1-11111-11-11-1-1-11-11
χ261111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11111111-1-1-1-111-1-11-11-1111-11-1
χ271111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1111111111-11-1-1-1-1-1-1-11111-1-1-1-11-11-111-11-11
χ281111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-11-11-1-111-1-11111-1-111-11-11-1-11-11-1
χ291111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-111-1-111111111-1-1-1-1-1-11-11-1-1111-11-1-11111-1-11-1-111-1-11-111-1
χ301111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-111-1-111111111-1-1-1-1-1-1-11-111-1111-1-1-11111-1-1-111-1-111-11-1-11
χ311111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-111-1-111111111-1-1-1-1111-11-1-11-1-1-1111-1-1-1-111-111-1-111-1-111-1
χ321111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-111-1-111111111-1-1-1-111-11-111-1-1-11-111-1-1-1-1111-1-111-1-111-1-11
χ33222222-2-2222-2-220000222222220000-20000-2-2-2-2-2000000000000000022-22-2200-2-200000000000000000000
χ34222222-2-2222-2-220000222222220000-20000-2-2-2-2-20000000000000000-2-22-22-2002200000000000000000000
χ35222222-2-2222-2-220000-2-2-2-2-2-2-2-20000-20000-2222200000000000000002-2-222-200-2200000000000000000000
χ36222222-2-2222-2-220000-2-2-2-2-2-2-2-20000-20000-222220000000000000000-222-2-22002-200000000000000000000
χ37222222-2-2-2-2-222-222220000000022-2-22-2-222-20000-2-222-2-2000000002-2000000-220000000000000000000000
χ38222222-2-2-2-2-222-2222200000000-2-222222-2-2-20000-2-222-2-200000000-220000002-20000000000000000000000
χ39222222-2-2-2-2-222-2-2-2-2-20000000022222-2-2-2-2-2000022-2-2220000000022000000-2-20000000000000000000000
χ40222222-2-2-2-2-222-2-2-2-2-200000000-2-2-2-222222-2000022-2-22200000000-2-2000000220000000000000000000000
χ412222-2-22222-222-22222000000002222-22222-20000-2-2-2-22200000000-2-2000000-2-20000000000000000000000
χ422222-2-22222-222-2222200000000-2-2-2-2-2-2-2-2-2-20000-2-2-2-2220000000022000000220000000000000000000000
χ432222-2-22222-222-2-2-2-2-20000000022-2-2-222-2-2-200002222-2-200000000-22000000-220000000000000000000000
χ442222-2-22222-222-2-2-2-2-200000000-2-222-2-2-222-200002222-2-2000000002-20000002-20000000000000000000000
χ452222-2-222-2-22-2-2200002222-2-2-2-2000020000-2-2-222000000000000000022-2-2-2-2002200000000000000000000
χ462222-2-222-2-22-2-2200002222-2-2-2-2000020000-2-2-2220000000000000000-2-2222200-2-200000000000000000000
χ472222-2-222-2-22-2-220000-2-2-2-22222000020000-222-2-200000000000000002-2-2-222002-200000000000000000000
χ482222-2-222-2-22-2-220000-2-2-2-22222000020000-222-2-20000000000000000-2222-2-200-2200000000000000000000
χ4922-2-2002i−2i2i−2i02-202i2i−2i−2i22−2−2i2i2−i2−i22-22-202i−2i2i−2i02−2i2−i200002-2i2i2−i2−i222−2−20000000000002−2i2−i2i2−i22−2000000000000
χ5022-2-2002i−2i2i−2i02-202i2i−2i−2i22−2−2i2i2−i2−i2-22-220−2i2i−2i2i02−2i2−i200002-2i2i2−i2−i222−2−2000000000000−22−i2i2−i2i2−22000000000000
χ5122-2-2002i−2i2i−2i02-202i2i−2i−2i−2−222−i2−i2i2i22-22-202i−2i2i−2i0−22−i2i200002-2−i2−i2i2i2−2−222000000000000−22−i2i2−i2i2−22000000000000
χ5222-2-2002i−2i2i−2i02-202i2i−2i−2i−2−222−i2−i2i2i2-22-220−2i2i−2i2i0−22−i2i200002-2−i2−i2i2i2−2−2220000000000002−2i2−i2i2−i22−2000000000000
χ5322-2-2002i−2i2i−2i02-20−2i−2i2i2i22−2−2i2i2−i2−i22-2-2202i−2i−2i2i02−2i2−i20000-22−i2−i2i2i2−2−2220000000000002−2i2−i2−i2i2−22000000000000
χ5422-2-2002i−2i2i−2i02-20−2i−2i2i2i22−2−2i2i2−i2−i2-222-20−2i2i2i−2i02−2i2−i20000-22−i2−i2i2i2−2−222000000000000−22−i2i2i2−i22−2000000000000
χ5522-2-2002i−2i2i−2i02-20−2i−2i2i2i−2−222−i2−i2i2i22-2-2202i−2i−2i2i0−22−i2i20000-22i2i2−i2−i222−2−2000000000000−22−i2i2i2−i22−2000000000000
χ5622-2-2002i−2i2i−2i02-20−2i−2i2i2i−2−222−i2−i2i2i2-222-20−2i2i2i−2i0−22−i2i20000-22i2i2−i2−i222−2−20000000000002−2i2−i2−i2i2−22000000000000
χ5722-2-200−2i2i−2i2i02-202i2i−2i−2i22−2−2−i2−i2i2i22-2-220−2i2i2i−2i02−2−i2i20000-22i2i2−i2−i2−2−2220000000000002−2−i2i2i2−i2−22000000000000
χ5822-2-200−2i2i−2i2i02-202i2i−2i−2i22−2−2−i2−i2i2i2-222-202i−2i−2i2i02−2−i2i20000-22i2i2−i2−i2−2−222000000000000−22i2−i2−i2i22−2000000000000
χ5922-2-200−2i2i−2i2i02-202i2i−2i−2i−2−222i2i2−i2−i22-2-220−2i2i2i−2i0−22i2−i20000-22−i2−i2i2i222−2−2000000000000−22i2−i2−i2i22−2000000000000
χ6022-2-200−2i2i−2i2i02-202i2i−2i−2i−2−222i2i2−i2−i2-222-202i−2i−2i2i0−22i2−i20000-22−i2−i2i2i222−2−20000000000002−2−i2i2i2−i2−22000000000000
χ6122-2-200−2i2i−2i2i02-20−2i−2i2i2i22−2−2−i2−i2i2i22-22-20−2i2i−2i2i02−2−i2i200002-2−i2−i2i2i222−2−20000000000002−2−i2i2−i2i22−2000000000000
χ6222-2-200−2i2i−2i2i02-20−2i−2i2i2i22−2−2−i2−i2i2i2-22-2202i−2i2i−2i02−2−i2i200002-2−i2−i2i2i222−2−2000000000000−22i2−i2i2−i2−22000000000000
χ6322-2-200−2i2i−2i2i02-20−2i−2i2i2i−2−222i2i2−i2−i22-22-20−2i2i−2i2i0−22i2−i200002-2i2i2−i2−i2−2−222000000000000−22i2−i2i2−i2−22000000000000
χ6422-2-200−2i2i−2i2i02-20−2i−2i2i2i−2−222i2i2−i2−i2-22-2202i−2i2i−2i0−22i2−i200002-2i2i2−i2−i2−2−2220000000000002−2−i2i2−i2i22−2000000000000
χ6544444444-4-4-4-4-4-40000000000000000-40000400000000000000000000000000000000000000000000000000
χ664444-4-4-4-444-4-4-4-4000000000000000040000400000000000000000000000000000000000000000000000000
χ6744-4-4004i−4i−4i4i0-44000002222−22−22−2i2−2i22i22i20000000000−22222i2−2i20000000000000000000000000000000000000000000000
χ6844-4-4004i−4i−4i4i0-4400000−22−2222222i22i2−2i2−2i2000000000022−22−2i22i20000000000000000000000000000000000000000000000
χ6944-4-400−4i4i4i−4i0-44000002222−22−222i22i2−2i2−2i20000000000−2222−2i22i20000000000000000000000000000000000000000000000
χ7044-4-400−4i4i4i−4i0-4400000−22−222222−2i2−2i22i22i2000000000022−222i2−2i20000000000000000000000000000000000000000000000
χ714-44-44-4000000002i2−2i22i2−2i222−2222−2222−2222−2200000000000000002i2−2i2002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ724-44-44-4000000002i2−2i22i2−2i2−2222−2222−2222−222200000000000000002i2−2i200−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ734-44-44-400000000−2i22i2−2i22i222−2222−2222−2222−220000000000000000−2i22i200−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ744-44-44-400000000−2i22i2−2i22i2−2222−2222−2222−22220000000000000000−2i22i2002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ754-44-4-44000000002i2−2i22i2−2i222−2222−22−2222−22220000000000000000−2i22i2002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ764-44-4-44000000002i2−2i22i2−2i2−2222−222222−2222−220000000000000000−2i22i200−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ774-44-4-4400000000−2i22i2−2i22i222−2222−22−2222−222200000000000000002i2−2i200−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ784-44-4-4400000000−2i22i2−2i22i2−2222−222222−2222−2200000000000000002i2−2i2002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ794-4-44000000400-422−22−222200004i−4i−4i4i0000000000000022−2200000000−2i22i22i2−2i200000000000000000000000000000000
χ804-4-44000000400-422−22−22220000−4i4i4i−4i0000000000000022−22000000002i2−2i2−2i22i200000000000000000000000000000000
χ814-4-44000000400-4−222222−2200004i−4i−4i4i00000000000000−2222000000002i2−2i2−2i22i200000000000000000000000000000000
χ824-4-44000000400-4−222222−220000−4i4i4i−4i00000000000000−222200000000−2i22i22i2−2i200000000000000000000000000000000
χ834-4-44000000-400422−22−22224-4-44000000000000000000−2222000022−22−2222000000000000000000000000000000000000
χ844-4-44000000-400422−22−2222-444-4000000000000000000−22220000−222222−22000000000000000000000000000000000000
χ854-4-44000000-4004−222222−224-4-4400000000000000000022−220000−222222−22000000000000000000000000000000000000
χ864-4-44000000-4004−222222−22-444-400000000000000000022−22000022−22−2222000000000000000000000000000000000000

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