Finite Group Databasebeta

← Group #350132

Character table — Group #350132

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111111112222222222224444444444444444444444888888888888888888888888816161616161616163232
order12222222222244444444444444444444444444444444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ911111111-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-111-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11-1
χ1011111111-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-111-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-111-11
χ1211111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-11111-1-11-1
χ1311111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-11111-1-1-11
χ1411111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1
χ1511111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1111-1
χ1611111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-11111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-11
χ1722222222222222-2-222-2-2220000000022222222-2-2-2-2-2000000000000-2-2-2-2000000000000000000
χ1822222222222222-2-222-2-22200000000-2-2-2-2-2-2-2-2-2-2-2-2-20000000000002222000000000000000000
χ19222222222222-2-222-2-222-2-2222222220000000022-2-2-200000000-2-2-2-20000000000000000000000
χ20222222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-20000000022-2-2-20000000022220000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-20000000000000000-2-222222-2-222-2-200000000000000000000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-20000000000000000-2-2222-2-222-2-22200000000000000000000000000
χ2322222222-2-2-2-222-2-222-2-2-2-2000000002222-2-2-2-222-2-22000000000000-2-222000000000000000000
χ2422222222-2-2-2-222-2-222-2-2-2-200000000-2-2-2-2222222-2-2200000000000022-2-2000000000000000000
χ2522222222-2-2-2-2-2-222-2-222222222-2-2-2-200000000-2-2-2-2200000000-2-2220000000000000000000000
χ2622222222-2-2-2-2-2-222-2-22222-2-2-2-2222200000000-2-2-2-220000000022-2-20000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22200000000000000002222-222-2-2-2-22200000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22200000000000000002222-2-2-22222-2-200000000000000000000000000
χ292222-2-2-2-222-2-22200-2-2002-20000000022-2-222-2-200000000000000000000022−2−222−2−200002−22−200
χ302222-2-2-2-222-2-22200-2-2002-20000000022-2-222-2-2000000000000000000000−2−222−2−2220000−22−2200
χ312222-2-2-2-222-2-22200-2-2002-200000000-2-222-2-22200000000000000000000022−2−222−2−20000−22−2200
χ322222-2-2-2-222-2-22200-2-2002-200000000-2-222-2-222000000000000000000000−2−222−2−22200002−22−200
χ332222-2-2-2-2-2-2222200-2-200-220000000022-2-2-2-22200000000000000000000022−2−2−2−22200002−2−2200
χ342222-2-2-2-2-2-2222200-2-200-220000000022-2-2-2-222000000000000000000000−2−22222−2−20000−222−200
χ352222-2-2-2-2-2-2222200-2-200-2200000000-2-22222-2-200000000000000000000022−2−2−2−2220000−222−200
χ362222-2-2-2-2-2-2222200-2-200-2200000000-2-22222-2-2000000000000000000000−2−22222−2−200002−2−2200
χ372-22-2-222-200002-22-22-22-20000002i2i−2i−2i00002i−2i2i−2i002-202-22-20000002i−2i002i−2i000000000000000000
χ382-22-2-222-200002-22-22-22-20000002i2i−2i−2i0000−2i2i−2i2i002-20-22-220000002i−2i00−2i2i000000000000000000
χ392-22-2-222-200002-22-22-22-2000000−2i−2i2i2i00002i−2i2i−2i002-20-22-22000000−2i2i002i−2i000000000000000000
χ402-22-2-222-200002-22-22-22-2000000−2i−2i2i2i0000−2i2i−2i2i002-202-22-2000000−2i2i00−2i2i000000000000000000
χ412-22-2-222-200002-2-222-2-22002i2i−2i−2i000000002i−2i2i−2i00-22000002-22-22i−2i0000−2i2i000000000000000000
χ422-22-2-222-200002-2-222-2-22002i2i−2i−2i00000000−2i2i−2i2i00-2200000-22-222i−2i00002i−2i000000000000000000
χ432-22-2-222-200002-2-222-2-2200−2i−2i2i2i000000002i−2i2i−2i00-2200000-22-22−2i2i0000−2i2i000000000000000000
χ442-22-2-222-200002-2-222-2-2200−2i−2i2i2i00000000−2i2i−2i2i00-22000002-22-2−2i2i00002i−2i000000000000000000
χ452-22-2-222-20000-222-2-222-20000002i2i−2i−2i2i−2i2i−2i000000-22000002-2-2200−2i2i2i−2i00000000000000000000
χ462-22-2-222-20000-222-2-222-20000002i2i−2i−2i−2i2i−2i2i000000-2200000-222-200−2i2i−2i2i00000000000000000000
χ472-22-2-222-20000-222-2-222-2000000−2i−2i2i2i2i−2i2i−2i000000-2200000-222-2002i−2i2i−2i00000000000000000000
χ482-22-2-222-20000-222-2-222-2000000−2i−2i2i2i−2i2i−2i2i000000-22000002-2-22002i−2i−2i2i00000000000000000000
χ492-22-2-222-20000-22-22-22-22002i2i−2i−2i00002i−2i2i−2i0000002-202-2-220000−2i2i00−2i2i00000000000000000000
χ502-22-2-222-20000-22-22-22-22002i2i−2i−2i0000−2i2i−2i2i0000002-20-222-20000−2i2i002i−2i00000000000000000000
χ512-22-2-222-20000-22-22-22-2200−2i−2i2i2i00002i−2i2i−2i0000002-20-222-200002i−2i00−2i2i00000000000000000000
χ522-22-2-222-20000-22-22-22-2200−2i−2i2i2i0000−2i2i−2i2i0000002-202-2-2200002i−2i002i−2i00000000000000000000
χ532-2-22-22-222-22-2002200-2-2002i−2i2i−2i2i−2i2i−2i000000002-20000000000000000000i2−i2i2−i2i2−i2i2−i22−22−2000000
χ542-2-22-22-222-22-2002200-2-2002i−2i2i−2i2i−2i2i−2i000000002-20000000000000000000−i2i2−i2i2−i2i2−i2i2−22−22000000
χ552-2-22-22-222-22-2002200-2-200−2i2i−2i2i−2i2i−2i2i000000002-20000000000000000000i2−i2i2−i2i2−i2i2−i2−22−22000000
χ562-2-22-22-222-22-2002200-2-200−2i2i−2i2i−2i2i−2i2i000000002-20000000000000000000−i2i2−i2i2−i2i2−i2i22−22−2000000
χ572-2-22-22-22-22-22002200-2-2002i−2i2i−2i−2i2i−2i2i00000000-220000000000000000000i2−i2i2−i2−i2i2−i2i22−2−22000000
χ582-2-22-22-22-22-22002200-2-2002i−2i2i−2i−2i2i−2i2i00000000-220000000000000000000−i2i2−i2i2i2−i2i2−i2−222−2000000
χ592-2-22-22-22-22-22002200-2-200−2i2i−2i2i2i−2i2i−2i00000000-220000000000000000000i2−i2i2−i2−i2i2−i2i2−222−2000000
χ602-2-22-22-22-22-22002200-2-200−2i2i−2i2i2i−2i2i−2i00000000-220000000000000000000−i2i2−i2i2i2−i2i2−i22−2−22000000
χ614444-4-4-4-444-4-4-4-4004400-440000000000000000000000000000000000000000000000000000000
χ624444-4-4-4-4-4-444-4-40044004-40000000000000000000000000000000000000000000000000000000
χ6344-4-444-4-40000004-400-440000004-4-4400000000000000000000000000000000000000000000000
χ6444-4-444-4-40000004-400-44000000-444-400000000000000000000000000000000000000000000000
χ6544-4-444-4-4000000-44004-4004-4-44000000000000000000000000000000000000000000000000000
χ6644-4-444-4-4000000-44004-400-444-4000000000000000000000000000000000000000000000000000
χ674-44-44-4-4400004-400-4400000000000000004i−4i−4i4i000000000000000000000000000000000000000
χ684-44-44-4-4400004-400-440000000000000000−4i4i4i−4i000000000000000000000000000000000000000
χ694-44-44-4-440000-44004-40000000000004i−4i−4i4i0000000000000000000000000000000000000000000
χ704-44-44-4-440000-44004-4000000000000−4i4i4i−4i0000000000000000000000000000000000000000000
χ714-4-444-44-44-4-44000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000
χ724-4-444-44-44-4-4400000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000
χ734-4-444-44-4-444-4000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000
χ744-4-444-44-4-444-400000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000
χ754-4-44-44-444-44-400-4-40044000000000000000000-440000000000000000000000000000000000000
χ764-4-44-44-44-44-4400-4-400440000000000000000004-40000000000000000000000000000000000000
χ7788-8-8-8-888000000000000000000000000000000000000000000000000000000000000000000000

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