Finite Group Databasebeta

← Group #395331

Character table — Group #395331

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222444444444444888888888888888888888888888888161616161616161616161616
order12222222222244444444444444444444224444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ6111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ7111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1111111-1-1-1-1-1-11111-1-1-1-111
χ8111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-1-1-1111111-1-1-1-11111-1-1
χ911111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111
χ1011111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111-1-1-1-111111-1-1111111111111-1-1-1-1-1-1-1-1
χ1211111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11111-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11111-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1
χ17222222222222-2-2-2-2-2-2-2-20000220000-2-200000022-2-22000022-2-2-20000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-20000220000-2-2000000-2-22220000-2-222-20000000000000000000000
χ19222222222222-2-2-2-2-2-2-2-20000-2-200002200000022-2-2-20000-2-22220000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-20000-2-2000022000000-2-222-2000022-2-220000000000000000000000
χ2122222222-2-2-2-2222-2-2-2-22222222-2-2-2-2-2-22200000000-200-2-2000020000000000000000000000
χ2222222222-2-2-2-2222-2-2-2-222222-2-2-2-2-2-222-2-200000000200220000-20000000000000000000000
χ2322222222-2-2-2-2222-2-2-2-22-2-2-2-2222222-2-2-2-200000000-20022000020000000000000000000000
χ2422222222-2-2-2-2222-2-2-2-22-2-2-2-2-2-22222222200000000200-2-20000-20000000000000000000000
χ2522222222-2-2-2-2-2-2-22222-20000220000220022-2-20000-222000000-2-2-200000000000000000000
χ2622222222-2-2-2-2-2-2-22222-200002200002200-2-2220000-2-2-2000000-22200000000000000000000
χ2722222222-2-2-2-2-2-2-22222-20000-2-20000-2-20022-2-200002-2-200000022200000000000000000000
χ2822222222-2-2-2-2-2-2-22222-20000-2-20000-2-200-2-22200002220000002-2-200000000000000000000
χ2922-2-22-22-22-22-22-2-22-22-222i2i−2i−2i002i2i−2i−2i00000000000000000000000000002i2i−2i−2i0000002-20000
χ3022-2-22-22-22-22-22-2-22-22-222i2i−2i−2i002i2i−2i−2i0000000000000000000000000000−2i−2i2i2i000000-220000
χ3122-2-22-22-22-22-22-2-22-22-22−2i−2i2i2i00−2i−2i2i2i00000000000000000000000000002i2i−2i−2i000000-220000
χ3222-2-22-22-22-22-22-2-22-22-22−2i−2i2i2i00−2i−2i2i2i0000000000000000000000000000−2i−2i2i2i0000002-20000
χ3322-2-22-22-2-22-222-2-2-22-2222i2i−2i−2i00−2i−2i2i2i0000000000000000000000002i2i−2i−2i000000002-2000000
χ3422-2-22-22-2-22-222-2-2-22-2222i2i−2i−2i00−2i−2i2i2i000000000000000000000000−2i−2i2i2i00000000-22000000
χ3522-2-22-22-2-22-222-2-2-22-222−2i−2i2i2i002i2i−2i−2i0000000000000000000000002i2i−2i−2i00000000-22000000
χ3622-2-22-22-2-22-222-2-2-22-222−2i−2i2i2i002i2i−2i−2i000000000000000000000000−2i−2i2i2i000000002-2000000
χ372-222-2-22-222-2-222-222-2-2-20000000000002-22-22-200000002-22-22-200000000000000000000000
χ382-222-2-22-222-2-222-222-2-2-20000000000002-2-22-2200000002-2-22-2200000000000000000000000
χ392-222-2-22-222-2-222-222-2-2-2000000000000-222-22-20000000-22-22-2200000000000000000000000
χ402-222-2-22-222-2-222-222-2-2-2000000000000-22-22-220000000-222-22-200000000000000000000000
χ412-222-2-22-222-2-2-2-22-2-22222i−2i2i−2i002i−2i2i−2i00000000000002i−2i002-2-2202i−2i00000000000000000000
χ422-222-2-22-222-2-2-2-22-2-22222i−2i2i−2i002i−2i2i−2i0000000000000−2i2i00-222-20−2i2i00000000000000000000
χ432-222-2-22-222-2-2-2-22-2-2222−2i2i−2i2i00−2i2i−2i2i00000000000002i−2i00-222-202i−2i00000000000000000000
χ442-222-2-22-222-2-2-2-22-2-2222−2i2i−2i2i00−2i2i−2i2i0000000000000−2i2i002-2-220−2i2i00000000000000000000
χ452-222-2-22-2-2-22222-2-2-222-20000000000002-200002i−2i2i−2i02i−2i-2200000−2i2i00000000000000000000
χ462-222-2-22-2-2-22222-2-2-222-20000000000002-20000−2i2i−2i2i0−2i2i-22000002i−2i00000000000000000000
χ472-222-2-22-2-2-22222-2-2-222-2000000000000-2200002i−2i2i−2i0−2i2i2-2000002i−2i00000000000000000000
χ482-222-2-22-2-2-22222-2-2-222-2000000000000-220000−2i2i−2i2i02i−2i2-200000−2i2i00000000000000000000
χ492-222-2-22-2-2-222-2-2222-2-222i−2i2i−2i00−2i2i−2i2i00002-2-222i−2i−2i2i00000000000000000000000000000000
χ502-222-2-22-2-2-222-2-2222-2-222i−2i2i−2i00−2i2i−2i2i0000-222-2−2i2i2i−2i00000000000000000000000000000000
χ512-222-2-22-2-2-222-2-2222-2-22−2i2i−2i2i002i−2i2i−2i00002-2-22−2i2i2i−2i00000000000000000000000000000000
χ522-222-2-22-2-2-222-2-2222-2-22−2i2i−2i2i002i−2i2i−2i0000-222-22i−2i−2i2i00000000000000000000000000000000
χ532-2-2-2-22222-2-22-22-2-222-222-2-22002-2-22000000000000000000000000000000002-20000002-200
χ542-2-2-2-22222-2-22-22-2-222-222-2-22002-2-2200000000000000000000000000000000-22000000-2200
χ552-2-2-2-22222-2-22-22-2-222-22-222-200-222-2000000000000000000000000000000002-2000000-2200
χ562-2-2-2-22222-2-22-22-2-222-22-222-200-222-200000000000000000000000000000000-220000002-200
χ572-2-2-2-2222-222-2-22-22-2-2222-2-2200-222-200000000000000000000000000000000002-20000002-2
χ582-2-2-2-2222-222-2-22-22-2-2222-2-2200-222-20000000000000000000000000000000000-22000000-22
χ592-2-2-2-2222-222-2-22-22-2-222-222-2002-2-2200000000000000000000000000000000002-2000000-22
χ602-2-2-2-2222-222-2-22-22-2-222-222-2002-2-220000000000000000000000000000000000-220000002-2
χ61444-4-44-4-400000000000000004-400000000000000000000000000002-22-22-22-2000000000000
χ62444-4-44-4-400000000000000004-40000000000000000000000000000-22-22-22-22000000000000
χ63444-4-44-4-40000000000000000-4400000000000000000000000000002-22-2-22-22000000000000
χ64444-4-44-4-40000000000000000-440000000000000000000000000000-22-222-22-2000000000000
χ6544-44-4-4-4400000000000000000000004-400000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ6644-44-4-4-4400000000000000000000004-40000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ6744-44-4-4-440000000000000000000000-4400000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ6844-44-4-4-440000000000000000000000-440000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ6944-4-44-44-44-44-4-444-44-44-4000000000000000000000000000000000000000000000000000000
χ7044-4-44-44-4-44-44-4444-44-4-4000000000000000000000000000000000000000000000000000000
χ714-4-4-4-44444-4-444-444-4-44-4000000000000000000000000000000000000000000000000000000
χ724-4-4-4-4444-444-44-44-444-4-4000000000000000000000000000000000000000000000000000000
χ738-88-88-8-88000000000000000000000000000000000000000000000000000000000000000000
χ748-8-8888-8-8000000000000000000000000000000000000000000000000000000000000000000

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