Finite Group Databasebeta

← Group #449581

Character table — Group #449581

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222444444444444444444444444888888888888161616161616161616161616161616161616
order12224444222222444444222244444444444444444444222222444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-111-1-1
χ911111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ1011111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1
χ1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1
χ1211111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-111
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-11111-1-1
χ1722222222-2-22-2-2222-2-2-2-200000000000000002222-2-2-2-22-200002-20000002-200000000000000
χ1822222222-2-22-2-2222-2-2-2-200000000000000002222-2-2-2-2-220000-22000000-2200000000000000
χ1922222222-2-22-2-2222-2-2-2-20000000000000000-2-2-2-222222-200002-2000000-2200000000000000
χ2022222222-2-22-2-2222-2-2-2-20000000000000000-2-2-2-22222-220000-220000002-200000000000000
χ212222-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-200000000000000002-20000-220000000000002-200000000
χ222222-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-20000000000000000-2200002-2000000000000-2200000000
χ232222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222200000000000000002-20000-22000000000000-2200000000
χ242222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222220000000000000000-2200002-20000000000002-200000000
χ252222-2-2-2-22-2-22-2-2222-22-200000000000000002i2i−2i−2i2i2i−2i−2i0000220000-2-20000000000002i−2i0000
χ262222-2-2-2-22-2-22-2-2222-22-200000000000000002i2i−2i−2i2i2i−2i−2i0000-2-2000022000000000000−2i2i0000
χ272222-2-2-2-22-2-22-2-2222-22-20000000000000000−2i−2i2i2i−2i−2i2i2i0000220000-2-2000000000000−2i2i0000
χ282222-2-2-2-22-2-22-2-2222-22-20000000000000000−2i−2i2i2i−2i−2i2i2i0000-2-20000220000000000002i−2i0000
χ292222-2-2-2-2-22-2-22-222-22-2200000000000000002i2i−2i−2i−2i−2i2i2i00220000-2-20000000000002i−2i000000
χ302222-2-2-2-2-22-2-22-222-22-2200000000000000002i2i−2i−2i−2i−2i2i2i00-2-2000022000000000000−2i2i000000
χ312222-2-2-2-2-22-2-22-222-22-220000000000000000−2i−2i2i2i2i2i−2i−2i00220000-2-2000000000000−2i2i000000
χ322222-2-2-2-2-22-2-22-222-22-220000000000000000−2i−2i2i2i2i2i−2i−2i00-2-20000220000000000002i−2i000000
χ332222-2-2-2-2-2-22-2-22-2-22222000000002222-2-2-2-200000000220000-2-200002-20000000000000000
χ342222-2-2-2-2-2-22-2-22-2-22222000000002222-2-2-2-200000000-2-20000220000-220000000000000000
χ352222-2-2-2-2-2-22-2-22-2-2222200000000-2-2-2-2222200000000220000-2-20000-220000000000000000
χ362222-2-2-2-2-2-22-2-22-2-2222200000000-2-2-2-2222200000000-2-200002200002-20000000000000000
χ372-2-2222-2-22-22-22-22-222-2-2000000002i2i−2i−2i2i2i−2i−2i00000000002-200002-200000000000000002i−2i00
χ382-2-2222-2-22-22-22-22-222-2-2000000002i2i−2i−2i2i2i−2i−2i0000000000-220000-220000000000000000−2i2i00
χ392-2-2222-2-22-22-22-22-222-2-200000000−2i−2i2i2i−2i−2i2i2i00000000002-200002-20000000000000000−2i2i00
χ402-2-2222-2-22-22-22-22-222-2-200000000−2i−2i2i2i−2i−2i2i2i0000000000-220000-2200000000000000002i−2i00
χ412-2-2222-2-2-2-2-2222-222-2-2222-2-222-2-2000000000000000000002-200002-20000002-20000000000
χ422-2-2222-2-2-2-2-2222-222-2-2222-2-222-2-200000000000000000000-220000-22000000-220000000000
χ432-2-2222-2-2-2-2-2222-222-2-22-2-222-2-222000000000000000000002-200002-2000000-220000000000
χ442-2-2222-2-2-2-2-2222-222-2-22-2-222-2-22200000000000000000000-220000-220000002-20000000000
χ452-2-22-2-222-2222-2-2-2222-2-2000000002i2i−2i−2i−2i−2i2i2i0000000000002-20000-2200000000000000002i−2i
χ462-2-22-2-222-2222-2-2-2222-2-2000000002i2i−2i−2i−2i−2i2i2i000000000000-2200002-20000000000000000−2i2i
χ472-2-22-2-222-2222-2-2-2222-2-200000000−2i−2i2i2i2i2i−2i−2i0000000000002-20000-220000000000000000−2i2i
χ482-2-22-2-222-2222-2-2-2222-2-200000000−2i−2i2i2i2i2i−2i−2i000000000000-2200002-200000000000000002i−2i
χ492-2-22-2-222-2-2-22222-2-222-222-2-2-2-2220000000000000000002-20000-220000002-2000000000000
χ502-2-22-2-222-2-2-22222-2-222-222-2-2-2-222000000000000000000-2200002-2000000-22000000000000
χ512-2-22-2-222-2-2-22222-2-222-2-2-22222-2-20000000000000000002-20000-22000000-22000000000000
χ522-2-22-2-222-2-2-22222-2-222-2-2-22222-2-2000000000000000000-2200002-20000002-2000000000000
χ53444444444-4-44-4-4-4-4-44-44000000000000000000000000000000000000000000000000000000
χ5444444444-44-4-44-4-4-44-44-4000000000000000000000000000000000000000000000000000000
χ5544-4-44i−4i4i−4i0000000000002-22-22i−2i2i−2i2-22-22i−2i2i−2i00002+2i−2−2i2−2i−2+2i000000000000000000000000000000
χ5644-4-44i−4i4i−4i0000000000002-22-22i−2i2i−2i-22-22−2i2i−2i2i0000−2−2i2+2i−2+2i2−2i000000000000000000000000000000
χ5744-4-44i−4i4i−4i000000000000-22-22−2i2i−2i2i2-22-22i−2i2i−2i0000−2−2i2+2i−2+2i2−2i000000000000000000000000000000
χ5844-4-44i−4i4i−4i000000000000-22-22−2i2i−2i2i-22-22−2i2i−2i2i00002+2i−2−2i2−2i−2+2i000000000000000000000000000000
χ5944-4-4−4i4i−4i4i0000000000002-22-2−2i2i−2i2i2-22-2−2i2i−2i2i00002−2i−2+2i2+2i−2−2i000000000000000000000000000000
χ6044-4-4−4i4i−4i4i0000000000002-22-2−2i2i−2i2i-22-222i−2i2i−2i0000−2+2i2−2i−2−2i2+2i000000000000000000000000000000
χ6144-4-4−4i4i−4i4i000000000000-22-222i−2i2i−2i2-22-2−2i2i−2i2i0000−2+2i2−2i−2−2i2+2i000000000000000000000000000000
χ6244-4-4−4i4i−4i4i000000000000-22-222i−2i2i−2i-22-222i−2i2i−2i00002−2i−2+2i2+2i−2−2i000000000000000000000000000000
χ634-44-44i−4i−4i4i0000000000002-2-222i−2i−2i2i2i−2i−2i2i-222-22+2i−2−2i2−2i−2+2i0000000000000000000000000000000000
χ644-44-44i−4i−4i4i0000000000002-2-222i−2i−2i2i−2i2i2i−2i2-2-22−2−2i2+2i−2+2i2−2i0000000000000000000000000000000000
χ654-44-44i−4i−4i4i000000000000-222-2−2i2i2i−2i2i−2i−2i2i-222-2−2−2i2+2i−2+2i2−2i0000000000000000000000000000000000
χ664-44-44i−4i−4i4i000000000000-222-2−2i2i2i−2i−2i2i2i−2i2-2-222+2i−2−2i2−2i−2+2i0000000000000000000000000000000000
χ674-44-4−4i4i4i−4i0000000000002-2-22−2i2i2i−2i2i−2i−2i2i2-2-22−2+2i2−2i−2−2i2+2i0000000000000000000000000000000000
χ684-44-4−4i4i4i−4i0000000000002-2-22−2i2i2i−2i−2i2i2i−2i-222-22−2i−2+2i2+2i−2−2i0000000000000000000000000000000000
χ694-44-4−4i4i4i−4i000000000000-222-22i−2i−2i2i2i−2i−2i2i2-2-222−2i−2+2i2+2i−2−2i0000000000000000000000000000000000
χ704-44-4−4i4i4i−4i000000000000-222-22i−2i−2i2i−2i2i2i−2i-222-2−2+2i2−2i−2−2i2+2i0000000000000000000000000000000000
χ714-4-4444-4-444-4-4-44-44-444-4000000000000000000000000000000000000000000000000000000
χ724-4-4444-4-4-4444-4-44-4-4-444000000000000000000000000000000000000000000000000000000
χ734-4-44-4-44444-4-4-444-44-4-44000000000000000000000000000000000000000000000000000000
χ744-4-44-4-4444-44-44-4-44-4-444000000000000000000000000000000000000000000000000000000

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