Finite Group Databasebeta

← Group #396111

Character table — Group #396111

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111111112222222222222222222244444444444444444444888888888888888816161616161616161616161616161616
order12224444222222444444444444444444444444444444444422224444444444442444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111-1-11-1-11111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-111-111-1-1-1-11111-1-1
χ9111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ10111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ11111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-1111-1-1-1-111-1-111
χ12111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-111-1-1-11111-1-111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-111-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-111-1-1-1-111
χ1722222222-2-22-2-2222-2-222222222-2-20000000000000000-2-2-2-22-2002-20022-2-200000000000000000000
χ1822222222-2-22-2-2222-2-222222222-2-20000000000000000-2-2-2-2-2200-2200-2-22200000000000000000000
χ1922222222-2-22-2-2222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022222-2002-200-2-22200000000000000000000
χ2022222222-2-22-2-2222-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222-2200-220022-2-200000000000000000000
χ212222-2-2-2-2222222-2-2-2-200000000-2-22222-2-2-2-20000000000002-200-2200000022-2-20000000000000000
χ222222-2-2-2-2222222-2-2-2-200000000-2-22222-2-2-2-2000000000000-22002-2000000-2-2220000000000000000
χ232222-2-2-2-2222222-2-2-2-200000000-2-2-2-2-2-222220000000000002-200-22000000-2-2220000000000000000
χ242222-2-2-2-2222222-2-2-2-200000000-2-2-2-2-2-22222000000000000-22002-200000022-2-20000000000000000
χ252222-2-2-2-22-2-22-2-2222-22i2i2i2i−2i−2i−2i−2i2-200000000000000002i2i−2i−2i000000000000000002-200000002i−2i0000
χ262222-2-2-2-22-2-22-2-2222-22i2i2i2i−2i−2i−2i−2i2-200000000000000002i2i−2i−2i00000000000000000-220000000−2i2i0000
χ272222-2-2-2-22-2-22-2-2222-2−2i−2i−2i−2i2i2i2i2i2-20000000000000000−2i−2i2i2i000000000000000002-20000000−2i2i0000
χ282222-2-2-2-22-2-22-2-2222-2−2i−2i−2i−2i2i2i2i2i2-20000000000000000−2i−2i2i2i00000000000000000-2200000002i−2i0000
χ292222-2-2-2-2-22-2-22-222-222i2i2i2i−2i−2i−2i−2i-220000000000000000−2i−2i2i2i0000000000000000200-200002i−2i000000
χ302222-2-2-2-2-22-2-22-222-222i2i2i2i−2i−2i−2i−2i-220000000000000000−2i−2i2i2i0000000000000000-20020000−2i2i000000
χ312222-2-2-2-2-22-2-22-222-22−2i−2i−2i−2i2i2i2i2i-2200000000000000002i2i−2i−2i0000000000000000200-20000−2i2i000000
χ322222-2-2-2-2-22-2-22-222-22−2i−2i−2i−2i2i2i2i2i-2200000000000000002i2i−2i−2i0000000000000000-200200002i−2i000000
χ332222-2-2-2-2-2-22-2-22-2-2220000000022000000002222-2-2-2-200002222-2-2-2-2000000000000000000000000
χ342222-2-2-2-2-2-22-2-22-2-2220000000022000000002222-2-2-2-20000-2-2-2-22222000000000000000000000000
χ352222-2-2-2-2-2-22-2-22-2-222000000002200000000-2-2-2-22222000022-2-2-2-222000000000000000000000000
χ362222-2-2-2-2-2-22-2-22-2-222000000002200000000-2-2-2-222220000-2-22222-2-2000000000000000000000000
χ372-2-2222-2-222-2-2-222-22222-2-222-2-2-2-200000000000000002-22-2000000000000000000002i−2i0000002i−2i00
χ382-2-2222-2-222-2-2-222-22222-2-222-2-2-2-200000000000000002-22-200000000000000000000−2i2i000000−2i2i00
χ392-2-2222-2-222-2-2-222-222-2-222-2-222-2-20000000000000000-22-22000000000000000000002i−2i000000−2i2i00
χ402-2-2222-2-222-2-2-222-222-2-222-2-222-2-20000000000000000-22-2200000000000000000000−2i2i0000002i−2i00
χ412-2-2222-2-22-22-22-2-22-22000000002-20000000022-2-222-2-20000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ422-2-2222-2-22-22-22-2-22-22000000002-20000000022-2-222-2-2000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ432-2-2222-2-22-22-22-2-22-22000000002-200000000-2-222-2-2220000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ442-2-2222-2-22-22-22-2-22-22000000002-200000000-2-222-2-222000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ452-2-2222-2-2-2222-2-2-222-200000000-222i2i−2i−2i2i2i−2i−2i000000000000002-2002-22i−2i−2i2i00000000000000000000
χ462-2-2222-2-2-2222-2-2-222-200000000-222i2i−2i−2i2i2i−2i−2i00000000000000-2200-22−2i2i2i−2i00000000000000000000
χ472-2-2222-2-2-2222-2-2-222-200000000-22−2i−2i2i2i−2i−2i2i2i000000000000002-2002-2−2i2i2i−2i00000000000000000000
χ482-2-2222-2-2-2222-2-2-222-200000000-22−2i−2i2i2i−2i−2i2i2i00000000000000-2200-222i−2i−2i2i00000000000000000000
χ492-2-2222-2-2-2-2-22222-2-2-222-2-222-2-2220000000000000000-22-2200000000000000000000002-20000002-2
χ502-2-2222-2-2-2-2-22222-2-2-222-2-222-2-2220000000000000000-22-220000000000000000000000-22000000-22
χ512-2-2222-2-2-2-2-22222-2-2-2-2-222-2-2222200000000000000002-22-200000000000000000000002-2000000-22
χ522-2-2222-2-2-2-2-22222-2-2-2-2-222-2-2222200000000000000002-22-20000000000000000000000-220000002-2
χ532-2-22-2-2222-22-22-22-22-22i2i−2i−2i−2i−2i2i2i-2200000000000000002i−2i−2i2i002-200-2200002i−2i−2i2i0000000000000000
χ542-2-22-2-2222-22-22-22-22-22i2i−2i−2i−2i−2i2i2i-2200000000000000002i−2i−2i2i00-22002-20000−2i2i2i−2i0000000000000000
χ552-2-22-2-2222-22-22-22-22-2−2i−2i2i2i2i2i−2i−2i-220000000000000000−2i2i2i−2i002-200-220000−2i2i2i−2i0000000000000000
χ562-2-22-2-2222-22-22-22-22-2−2i−2i2i2i2i2i−2i−2i-220000000000000000−2i2i2i−2i00-22002-200002i−2i−2i2i0000000000000000
χ572-2-22-2-222-2222-2-22-2-222i2i−2i−2i−2i−2i2i2i2-22i2i−2i−2i−2i−2i2i2i22-2-2-2-222−2i2i2i−2i00000000000000000000000000000000
χ582-2-22-2-222-2222-2-22-2-222i2i−2i−2i−2i−2i2i2i2-2−2i−2i2i2i2i2i−2i−2i-2-22222-2-2−2i2i2i−2i00000000000000000000000000000000
χ592-2-22-2-222-2222-2-22-2-22−2i−2i2i2i2i2i−2i−2i2-22i2i−2i−2i−2i−2i2i2i-2-22222-2-22i−2i−2i2i00000000000000000000000000000000
χ602-2-22-2-222-2222-2-22-2-22−2i−2i2i2i2i2i−2i−2i2-2−2i−2i2i2i2i2i−2i−2i22-2-2-2-2222i−2i−2i2i00000000000000000000000000000000
χ61444444444-4-44-4-4-4-4-4400000000-440000000000000000000000000000000000000000000000000000
χ6244444444-44-4-44-4-4-44-4000000004-40000000000000000000000000000000000000000000000000000
χ6344-4-44i−4i4i−4i00000000002+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i002-22-22i−2i2i−2i2-22-22i−2i2i−2i000000000000000000000000000000000000
χ6444-4-44i−4i4i−4i00000000002+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i00-22-22−2i2i−2i2i-22-22−2i2i−2i2i000000000000000000000000000000000000
χ6544-4-44i−4i4i−4i0000000000−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i002-22-22i−2i2i−2i-22-22−2i2i−2i2i000000000000000000000000000000000000
χ6644-4-44i−4i4i−4i0000000000−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i00-22-22−2i2i−2i2i2-22-22i−2i2i−2i000000000000000000000000000000000000
χ6744-4-4−4i4i−4i4i00000000002−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i002-22-2−2i2i−2i2i2-22-2−2i2i−2i2i000000000000000000000000000000000000
χ6844-4-4−4i4i−4i4i00000000002−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i00-22-222i−2i2i−2i-22-222i−2i2i−2i000000000000000000000000000000000000
χ6944-4-4−4i4i−4i4i0000000000−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i002-22-2−2i2i−2i2i-22-222i−2i2i−2i000000000000000000000000000000000000
χ7044-4-4−4i4i−4i4i0000000000−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i00-22-222i−2i2i−2i2-22-2−2i2i−2i2i000000000000000000000000000000000000
χ714-44-44i−4i−4i4i00000000002+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i002i−2i−2i2i-222-22-2-222i−2i−2i2i000000000000000000000000000000000000
χ724-44-44i−4i−4i4i00000000002+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i00−2i2i2i−2i2-2-22-222-2−2i2i2i−2i000000000000000000000000000000000000
χ734-44-44i−4i−4i4i0000000000−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i002i−2i−2i2i-222-2-222-2−2i2i2i−2i000000000000000000000000000000000000
χ744-44-44i−4i−4i4i0000000000−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i00−2i2i2i−2i2-2-222-2-222i−2i−2i2i000000000000000000000000000000000000
χ754-44-4−4i4i4i−4i00000000002−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i002i−2i−2i2i2-2-22-222-22i−2i−2i2i000000000000000000000000000000000000
χ764-44-4−4i4i4i−4i00000000002−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i00−2i2i2i−2i-222-22-2-22−2i2i2i−2i000000000000000000000000000000000000
χ774-44-4−4i4i4i−4i0000000000−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i002i−2i−2i2i2-2-222-2-22−2i2i2i−2i000000000000000000000000000000000000
χ784-44-4−4i4i4i−4i0000000000−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i00−2i2i2i−2i-222-2-222-22i−2i−2i2i000000000000000000000000000000000000
χ794-4-44-4-44444-4-4-44-44-4-400000000440000000000000000000000000000000000000000000000000000
χ804-4-44-4-444-4-4-4444-444400000000-4-40000000000000000000000000000000000000000000000000000

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