Finite Group Databasebeta

← Group #438004

Character table — Group #438004

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222444444444444444444444444888888888888161616161616161616161616161616161616
order12222222222244444444444444444444444444444444224444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-11-11111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-11-1-1-1-1-11-1-1-1-11111
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111-1-1-1111-1-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-11-1-111-111111-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111
χ911111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ1011111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111111-1111-1-1-1-111
χ1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-111111-1-1-11111-1-1
χ1211111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111-1111-1-1-11-1-11111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1111-111-1-11-111-1-1-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-111-1-1
χ17222222222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000000022-2-200002-2000000000000
χ18222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000-2-2220000-22000000000000
χ19222222222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000022-2-20000-22000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000-2-22200002-2000000000000
χ2122222222-2-2-2-2222-2-2-2-2222-2-222-2-200000000000000002200-2-200000000200000-2000000000
χ2222222222-2-2-2-2222-2-2-2-2222-2-222-2-20000000000000000-2-2002200000000-2000002000000000
χ2322222222-2-2-2-2222-2-2-2-22-2-222-2-22200000000000000002200-2-200000000-2000002000000000
χ2422222222-2-2-2-2222-2-2-2-22-2-222-2-2220000000000000000-2-2002200000000200000-2000000000
χ2522222222-2-2-2-2-2-2-22222-222-2-2-2-2220000000000000000002200-2-20000000200000-200000000
χ2622222222-2-2-2-2-2-2-22222-222-2-2-2-222000000000000000000-2-200220000000-200000200000000
χ2722222222-2-2-2-2-2-2-22222-2-2-22222-2-20000000000000000002200-2-20000000-200000200000000
χ2822222222-2-2-2-2-2-2-22222-2-2-22222-2-2000000000000000000-2-200220000000200000-200000000
χ2922-22-2-22-22-22-22-2-22-22-2200000000000000002i2i2i2i−2i−2i−2i−2i2-2002-20000000000000000002i−2i0000
χ3022-22-2-22-22-22-22-2-22-22-2200000000000000002i2i2i2i−2i−2i−2i−2i-2200-22000000000000000000−2i2i0000
χ3122-22-2-22-22-22-22-2-22-22-220000000000000000−2i−2i−2i−2i2i2i2i2i2-2002-2000000000000000000−2i2i0000
χ3222-22-2-22-22-22-22-2-22-22-220000000000000000−2i−2i−2i−2i2i2i2i2i-2200-220000000000000000002i−2i0000
χ3322-22-2-22-2-22-222-2-2-22-222000000002i2i2i2i−2i−2i−2i−2i000000002-200-2200000000000000002i−2i000000
χ3422-22-2-22-2-22-222-2-2-22-222000000002i2i2i2i−2i−2i−2i−2i00000000-22002-20000000000000000−2i2i000000
χ3522-22-2-22-2-22-222-2-2-22-22200000000−2i−2i−2i−2i2i2i2i2i000000002-200-220000000000000000−2i2i000000
χ3622-22-2-22-2-22-222-2-2-22-22200000000−2i−2i−2i−2i2i2i2i2i00000000-22002-200000000000000002i−2i000000
χ372-22-22-22-222-2-2-22-2-222-2200000000000000002i2i−2i−2i2i2i−2i−2i002i−2i002i−2i000000000000000000002-2
χ382-22-22-22-222-2-2-22-2-222-2200000000000000002i2i−2i−2i2i2i−2i−2i00−2i2i00−2i2i00000000000000000000-22
χ392-22-22-22-222-2-2-22-2-222-220000000000000000−2i−2i2i2i−2i−2i2i2i002i−2i002i−2i00000000000000000000-22
χ402-22-22-22-222-2-2-22-2-222-220000000000000000−2i−2i2i2i−2i−2i2i2i00−2i2i00−2i2i000000000000000000002-2
χ412-22-22-22-2-2-2222-22-222-2-20000000022-2-222-2-200000000002i−2i00−2i2i0000000000000000002i−2i00
χ422-22-22-22-2-2-2222-22-222-2-20000000022-2-222-2-20000000000−2i2i002i−2i000000000000000000−2i2i00
χ432-22-22-22-2-2-2222-22-222-2-200000000-2-222-2-22200000000002i−2i00−2i2i000000000000000000−2i2i00
χ442-22-22-22-2-2-2222-22-222-2-200000000-2-222-2-2220000000000−2i2i002i−2i0000000000000000002i−2i00
χ452-2-2-2-22222-2-2222-222-2-2-2000000002i2i−2i−2i−2i−2i2i2i00000000000000002-22-22i−2i0000000000000000
χ462-2-2-2-22222-2-2222-222-2-2-2000000002i2i−2i−2i−2i−2i2i2i0000000000000000-22-22−2i2i0000000000000000
χ472-2-2-2-22222-2-2222-222-2-2-200000000−2i−2i2i2i2i2i−2i−2i00000000000000002-22-2−2i2i0000000000000000
χ482-2-2-2-22222-2-2222-222-2-2-200000000−2i−2i2i2i2i2i−2i−2i0000000000000000-22-222i−2i0000000000000000
χ492-2-2-2-22222-2-22-2-22-2-2222000000000000000022-2-2-2-222000000002-2-220000002-20000000000
χ502-2-2-2-22222-2-22-2-22-2-2222000000000000000022-2-2-2-22200000000-222-2000000-220000000000
χ512-2-2-2-22222-2-22-2-22-2-22220000000000000000-2-22222-2-2000000002-2-22000000-220000000000
χ522-2-2-2-22222-2-22-2-22-2-22220000000000000000-2-22222-2-200000000-222-20000002-20000000000
χ53444-4-44-4-40000000000004-40000002-22-22-22-22-22-22-22-2000000000000000000000000000000
χ54444-4-44-4-40000000000004-4000000-22-22-22-22-22-22-22-22000000000000000000000000000000
χ55444-4-44-4-4000000000000-440000002-22-22-22-2-22-22-22-22000000000000000000000000000000
χ56444-4-44-4-4000000000000-44000000-22-22-22-222-22-22-22-2000000000000000000000000000000
χ5744-44-4-44-44-44-4-444-44-44-4000000000000000000000000000000000000000000000000000000
χ5844-44-4-44-4-44-44-4444-44-4-4000000000000000000000000000000000000000000000000000000
χ5944-4-44-4-440000000000000000004-42i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ6044-4-44-4-440000000000000000004-4−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ6144-4-44-4-44000000000000000000-442i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ6244-4-44-4-44000000000000000000-44−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ634-444-4-4-4400000000000000004i−4i002-2-222-2-222i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ644-444-4-4-4400000000000000004i−4i00-222-2-222-2−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ654-444-4-4-440000000000000000−4i4i002-2-222-2-22−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ664-444-4-4-440000000000000000−4i4i00-222-2-222-22i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ674-44-44-44-444-4-44-444-4-44-4000000000000000000000000000000000000000000000000000000
χ684-44-44-44-4-4-444-44-44-4-444000000000000000000000000000000000000000000000000000000
χ694-4-4444-4-4000000000000004i−4i00002i−2i−2i2i−2i2i2i−2i2-2-22-222-2000000000000000000000000000000
χ704-4-4444-4-4000000000000004i−4i0000−2i2i2i−2i2i−2i−2i2i-222-22-2-22000000000000000000000000000000
χ714-4-4444-4-400000000000000−4i4i00002i−2i−2i2i−2i2i2i−2i-222-22-2-22000000000000000000000000000000
χ724-4-4444-4-400000000000000−4i4i0000−2i2i2i−2i2i−2i−2i2i2-2-22-222-2000000000000000000000000000000
χ734-4-4-4-4444-444-444-4-4-444-4000000000000000000000000000000000000000000000000000000
χ744-4-4-4-4444-444-4-4-4444-4-44000000000000000000000000000000000000000000000000000000

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