Finite Group Databasebeta

← Group #350502

Character table — Group #350502

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111111112222222222224444444444444444444444888888888888888888888888816161616161616163232
order12222222222244444444222222224444444444444444444444444444444888888888888888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ911111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ1011111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-11
χ1211111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11-1
χ1311111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-11
χ1411111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1
χ1511111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ1611111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ1722222222222222-2-222-2-22222222222-2-200000000-2-2-20000-2-2-2-200000000000000000000000000
χ1822222222222222-2-222-2-2-2-2-2-2-2-2-2-222-2-200000000-2-2-20000222200000000000000000000000000
χ19222222222222-2-222-2-22200000000-2-22222222222-2-2-2-2-2-2-2000000000000000000000000000000
χ20222222222222-2-222-2-22200000000-2-222-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-200000000-2-2-2-2000000002220000000022-2-222-2-2000000000000000000
χ22222222222222-2-2-2-2-2-2-2-200000000-2-2-2-20000000022200000000-2-222-2-222000000000000000000
χ2322222222-2-2-2-222-2-222-2-22222-2-2-2-2-2-22200000000-2-220000-2-22200000000000000000000000000
χ2422222222-2-2-2-222-2-222-2-2-2-2-2-22222-2-22200000000-2-22000022-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-222-2-2220000000022-2-22222-2-2-2-2-2-22-2-222000000000000000000000000000000
χ2622222222-2-2-2-2-2-222-2-2220000000022-2-2-2-2-2-22222-2-2222-2-2000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-20000000022220000000022-20000000022-2-2-2-222000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-20000000022220000000022-200000000-2-22222-2-2000000000000000000
χ2922-2-2-2-22222-2-200-2-2002200000000002-222-2-222-2-2000000000000000000022−2−222−2−200002−22−200
χ3022-2-2-2-22222-2-200-2-2002200000000002-222-2-222-2-20000000000000000000−2−222−2−2220000−22−2200
χ3122-2-2-2-22222-2-200-2-2002200000000002-2-2-222-2-222000000000000000000022−2−222−2−20000−22−2200
χ3222-2-2-2-22222-2-200-2-2002200000000002-2-2-222-2-2220000000000000000000−2−222−2−22200002−22−200
χ3322-2-2-2-222-2-22200-2-200220000000000-2222-2-2-2-222000000000000000000022−2−2−2−22200002−2−2200
χ3422-2-2-2-222-2-22200-2-200220000000000-2222-2-2-2-2220000000000000000000−2−22222−2−20000−222−200
χ3522-2-2-2-222-2-22200-2-200220000000000-22-2-22222-2-2000000000000000000022−2−2−2−2220000−222−200
χ3622-2-2-2-222-2-22200-2-200220000000000-22-2-22222-2-20000000000000000000−2−22222−2−200002−2−2200
χ372-2-222-22-200002-22-22-22-2000022-2-2000000002i−2i2i−2i2-20002i−2i002-22i−2i2i−2i0000000000000000000000
χ382-2-222-22-200002-22-22-22-2000022-2-200000000−2i2i−2i2i2-2000−2i2i002-2−2i2i−2i2i0000000000000000000000
χ392-2-222-22-200002-22-22-22-20000-2-222000000002i−2i2i−2i2-20002i−2i00-22−2i2i−2i2i0000000000000000000000
χ402-2-222-22-200002-22-22-22-20000-2-22200000000−2i2i−2i2i2-2000−2i2i00-222i−2i2i−2i0000000000000000000000
χ412-2-222-22-200002-2-222-2-22000022-2-200002i−2i2i−2i0000-2202i−2i0000-2200002i−2i2i−2i000000000000000000
χ422-2-222-22-200002-2-222-2-22000022-2-20000−2i2i−2i2i0000-220−2i2i0000-220000−2i2i−2i2i000000000000000000
χ432-2-222-22-200002-2-222-2-220000-2-22200002i−2i2i−2i0000-2202i−2i00002-20000−2i2i−2i2i000000000000000000
χ442-2-222-22-200002-2-222-2-220000-2-2220000−2i2i−2i2i0000-220−2i2i00002-200002i−2i2i−2i000000000000000000
χ452-2-222-22-20000-222-2-222-222-2-20000000000002i−2i2i−2i-22000−2i2i2-20000002i−2i−2i2i000000000000000000
χ462-2-222-22-20000-222-2-222-222-2-2000000000000−2i2i−2i2i-220002i−2i2-2000000−2i2i2i−2i000000000000000000
χ472-2-222-22-20000-222-2-222-2-2-2220000000000002i−2i2i−2i-22000−2i2i-22000000−2i2i2i−2i000000000000000000
χ482-2-222-22-20000-222-2-222-2-2-222000000000000−2i2i−2i2i-220002i−2i-220000002i−2i−2i2i000000000000000000
χ492-2-222-22-20000-22-22-22-2222-2-2000000002i−2i2i−2i00002-20−2i2i00-22002i−2i−2i2i0000000000000000000000
χ502-2-222-22-20000-22-22-22-2222-2-200000000−2i2i−2i2i00002-202i−2i00-2200−2i2i2i−2i0000000000000000000000
χ512-2-222-22-20000-22-22-22-22-2-222000000002i−2i2i−2i00002-20−2i2i002-200−2i2i2i−2i0000000000000000000000
χ522-2-222-22-20000-22-22-22-22-2-22200000000−2i2i−2i2i00002-202i−2i002-2002i−2i−2i2i0000000000000000000000
χ532-2-22-22-222-22-2-2-20022002-22-22-22-22-2000000000000000000000000000002−22−22−22−22−22−2000000
χ542-2-22-22-222-22-2-2-20022002-22-22-22-22-200000000000000000000000000000−22−22−22−22−22−22000000
χ552-2-22-22-222-22-2-2-2002200-22-22-22-222-2000000000000000000000000000002−22−22−22−2−22−22000000
χ562-2-22-22-222-22-2-2-2002200-22-22-22-222-200000000000000000000000000000−22−22−22−222−22−2000000
χ572-2-22-22-22-22-22-2-20022002-22-2-22-22-22000000000000000000000000000002−22−2−22−222−2−22000000
χ582-2-22-22-22-22-22-2-20022002-22-2-22-22-2200000000000000000000000000000−22−222−22−2−222−2000000
χ592-2-22-22-22-22-22-2-2002200-22-222-22-2-22000000000000000000000000000002−22−2−22−22−222−2000000
χ602-2-22-22-22-22-22-2-2002200-22-222-22-2-2200000000000000000000000000000−22−222−22−22−2−22000000
χ614444-4-4-4-400004-400-44004-4-4400000000000000000000000000000000000000000000000000000
χ624444-4-4-4-400004-400-4400-444-400000000000000000000000000000000000000000000000000000
χ634444-4-4-4-40000-44004-40000004-4-440000000000000000000000000000000000000000000000000
χ644444-4-4-4-40000-44004-4000000-444-40000000000000000000000000000000000000000000000000
χ6544-4-4-4-44444-4-4004400-4-40000000000-44000000000000000000000000000000000000000000000
χ6644-4-4-4-444-4-444004400-4-400000000004-4000000000000000000000000000000000000000000000
χ674-44-44-4-444-4-44000000000000000000000000000000000000000000000002-2-222-2-220000000000
χ684-44-44-4-444-4-4400000000000000000000000000000000000000000000000-222-2-222-20000000000
χ694-44-44-4-44-444-4000000000000000000000000000000000000000000000002-2-22-222-20000000000
χ704-44-44-4-44-444-400000000000000000000000000000000000000000000000-222-22-2-220000000000
χ714-44-4-444-40000004-400-440000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ724-44-4-444-40000004-400-44000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ734-44-4-444-4000000-44004-400000000000000004i−4i−4i4i0000000000000000000000000000000000000
χ744-44-4-444-4000000-44004-40000000000000000−4i4i4i−4i0000000000000000000000000000000000000
χ754-4-44-44-444-44-44400-4-40000000000-4400000000000000000000000000000000000000000000000
χ764-4-44-44-44-44-444400-4-400000000004-400000000000000000000000000000000000000000000000
χ7788-8-888-8-8000000000000000000000000000000000000000000000000000000000000000000000

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