Finite Group Databasebeta

← Group #395877

Character table — Group #395877

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222444444444444888888888888888888888888888888161616161616161616161616
order12222222222244444444222244448888444444444444444444448888888888444444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111
χ51111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ61111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1
χ911111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1
χ1011111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111
χ1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1211111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-1-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-11111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111
χ1722222222-2-2-2-222-2-22-22-2000000002222000022-2-2-2-20000220000-2-200000000000000000000
χ1822222222-2-2-2-222-2-22-22-20000000022220000-2-222220000-2-20000-2-200000000000000000000
χ1922222222-2-2-2-222-2-22-22-200000000-2-2-2-200002222-2-20000-2-200002200000000000000000000
χ2022222222-2-2-2-222-2-22-22-200000000-2-2-2-20000-2-2-2-22200002200002200000000000000000000
χ2122222222-2-2-2-2-2-222-22-222222-2-2-2-200000000000000000000000000000022-2-22-20000000000
χ2222222222-2-2-2-2-2-222-22-222222-2-2-2-2000000000000000000000000000000-2-222-220000000000
χ2322222222-2-2-2-2-2-222-22-22-2-2-2-2222200000000000000000000000000000022-2-2-220000000000
χ2422222222-2-2-2-2-2-222-22-22-2-2-2-22222000000000000000000000000000000-2-2222-20000000000
χ25222-22-2-2-222-2-22-222-2-22-222-2-222-2-222-2-2000000000000000000002-222-2-20000000000000000
χ26222-22-2-2-222-2-22-222-2-22-222-2-222-2-2-2-22200000000000000000000-22-2-2220000000000000000
χ27222-22-2-2-222-2-22-222-2-22-2-2-222-2-22222-2-2000000000000000000002-2-2-2220000000000000000
χ28222-22-2-2-222-2-22-222-2-22-2-2-222-2-222-2-22200000000000000000000-2222-2-20000000000000000
χ29222-22-2-2-2-2-2222-2-2-2-22220000000022-2-22i2i−2i−2i0000002i2i−2i−2i000000-2200000000000000000000
χ30222-22-2-2-2-2-2222-2-2-2-22220000000022-2-2−2i−2i2i2i000000−2i−2i2i2i000000-2200000000000000000000
χ31222-22-2-2-2-2-2222-2-2-2-222200000000-2-2222i2i−2i−2i000000−2i−2i2i2i0000002-200000000000000000000
χ32222-22-2-2-2-2-2222-2-2-2-222200000000-2-222−2i−2i2i2i0000002i2i−2i−2i0000002-200000000000000000000
χ33222-22-2-2-2-2-222-22222-2-2-222-2-2-2-2220000000000000000000022-2-200000000000000002-20000
χ34222-22-2-2-2-2-222-22222-2-2-222-2-2-2-22200000000000000000000-2-2220000000000000000-220000
χ35222-22-2-2-2-2-222-22222-2-2-2-2-22222-2-20000000000000000000022-2-20000000000000000-220000
χ36222-22-2-2-2-2-222-22222-2-2-2-2-22222-2-200000000000000000000-2-22200000000000000002-20000
χ372-2-2222-2-22-22-2-222-2-2-2222-22-22-22-200000000002i−2i002i−2i2i−2i2i−2i00000000000000000000000000
χ382-2-2222-2-22-22-2-222-2-2-2222-22-22-22-20000000000−2i2i00−2i2i−2i2i−2i2i00000000000000000000000000
χ392-2-2222-2-22-22-2-222-2-2-222-22-22-22-2200000000002i−2i00−2i2i−2i2i2i−2i00000000000000000000000000
χ402-2-2222-2-22-22-2-222-2-2-222-22-22-22-220000000000−2i2i002i−2i2i−2i−2i2i00000000000000000000000000
χ412-2-2222-2-2-22-222-22-22-2-222-22-2-22-22000000000000000000000000000000000000002i−2i002i−2i00
χ422-2-2222-2-2-22-222-22-22-2-222-22-2-22-2200000000000000000000000000000000000000−2i2i00−2i2i00
χ432-2-2222-2-2-22-222-22-22-2-22-22-222-22-2000000000000000000000000000000000000002i−2i00−2i2i00
χ442-2-2222-2-2-22-222-22-22-2-22-22-222-22-200000000000000000000000000000000000000−2i2i002i−2i00
χ452-2-2222-2-2-22-22-22-22-222-20000000000002i−2i2i−2i002i−2i000000−2i2i0000002-22-20000000000000000
χ462-2-2222-2-2-22-22-22-22-222-20000000000002i−2i2i−2i00−2i2i0000002i−2i000000-22-220000000000000000
χ472-2-2222-2-2-22-22-22-22-222-2000000000000−2i2i−2i2i002i−2i000000−2i2i000000-22-220000000000000000
χ482-2-2222-2-2-22-22-22-22-222-2000000000000−2i2i−2i2i00−2i2i0000002i−2i0000002-22-20000000000000000
χ492-2-2-22-2222-2-22-2-22-2222-22-2-222-2-2200002-2-222-2002-200000000000000000000000000000000
χ502-2-2-22-2222-2-22-2-22-2222-22-2-222-2-220000-222-2-2200-2200000000000000000000000000000000
χ512-2-2-22-2222-2-22-2-22-2222-2-222-2-222-200002-2-22-2200-2200000000000000000000000000000000
χ522-2-2-22-2222-2-22-2-22-2222-2-222-2-222-20000-222-22-2002-200000000000000000000000000000000
χ532-2-2-22-222-222-2222-2-22-2-22-2-22-222-20000000000000000000000000000000000002i−2i0000002i−2i
χ542-2-2-22-222-222-2222-2-22-2-22-2-22-222-2000000000000000000000000000000000000−2i2i000000−2i2i
χ552-2-2-22-222-222-2222-2-22-2-2-222-22-2-220000000000000000000000000000000000002i−2i000000−2i2i
χ562-2-2-22-222-222-2222-2-22-2-2-222-22-2-22000000000000000000000000000000000000−2i2i0000002i−2i
χ572-2-2-22-222-222-2-2-2-222-22200000000000000002-200-222-2-2200000000-222-20000000000000000
χ582-2-2-22-222-222-2-2-2-222-22200000000000000002-200-22-222-2000000002-2-220000000000000000
χ592-2-2-22-222-222-2-2-2-222-2220000000000000000-22002-22-2-22000000002-2-220000000000000000
χ602-2-2-22-222-222-2-2-2-222-2220000000000000000-22002-2-222-200000000-222-20000000000000000
χ61444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000
χ62444-44-4-4-444-4-4-44-4-444-44000000000000000000000000000000000000000000000000000000
χ6344-44-4-4-44000000000000000000002i2−2i22i2−2i200000000000000002i−2i2i−2i00000022−2200000000000000
χ6444-44-4-4-44000000000000000000002i2−2i22i2−2i20000000000000000−2i2i−2i2i000000−222200000000000000
χ6544-44-4-4-4400000000000000000000−2i22i2−2i22i200000000000000002i−2i2i−2i000000−222200000000000000
χ6644-44-4-4-4400000000000000000000−2i22i2−2i22i20000000000000000−2i2i−2i2i00000022−2200000000000000
χ6744-4-4-444-4000000000000000000002i2−2i2−2i22i200000000000000002i−2i−2i2i0000000022−22000000000000
χ6844-4-4-444-4000000000000000000002i2−2i2−2i22i20000000000000000−2i2i2i−2i00000000−2222000000000000
χ6944-4-4-444-400000000000000000000−2i22i22i2−2i200000000000000002i−2i−2i2i00000000−2222000000000000
χ7044-4-4-444-400000000000000000000−2i22i22i2−2i20000000000000000−2i2i2i−2i0000000022−22000000000000
χ714-4-4444-4-44-44-44-4-4444-4-4000000000000000000000000000000000000000000000000000000
χ724-4-4-44-4444-4-4444-44-4-4-44000000000000000000000000000000000000000000000000000000
χ738-888-8-88-8000000000000000000000000000000000000000000000000000000000000000000
χ748-88-8-88-88000000000000000000000000000000000000000000000000000000000000000000

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