Finite Group Databasebeta

← Group #242150

Character table — Group #242150

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111111112222222222222222222244444444444444444444888888888888888816161616161616161616161616161616
order12222222444444444444444444444444888888888888888844444444888888882444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-11-1-11111
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-111-1-1-1-1
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111-1-1111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-1-1
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1111111
χ911111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-111-111-1-11-1-111-1-1
χ1011111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-11-1-11-1-111-111-1-111
χ1111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-11111111-1-1
χ1211111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1111111-1-1-1-1-1-1-111
χ1311111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111111-1-1-1-111111-1-1-1-111
χ1411111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-11111-1-1-1-1-11111-1-1
χ1511111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-11-111-1-1-1-1-1111-1-111
χ1611111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-11-1-111111-1-1-111-1-1
χ1722222222222222-2-2-2-22222-2-222-2-2-2-2-2-2000000000000000000000000000000002200-20000-2000000
χ1822222222222222-2-2-2-22222-2-222-2-2-2-2-2-200000000000000000000000000000000-2-200200002000000
χ19222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-22200000000000000000000000000000000000002-20002-20000
χ20222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2220000000000000000000000000000000000000-22000-220000
χ21222222222222-2-2-2-2-2-2-2-2-2-222-2-22222-2-200000000000000002222-2-2-2-2000000000000000000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-222-2-22222-2-20000000000000000-2-2-2-22222000000000000000000000000
χ2322222222-2-2-2-2222222-2-2-2-2-2-222-2-222-2-2000000000000000000000000000000002-20020000-2000000
χ2422222222-2-2-2-2222222-2-2-2-2-2-222-2-222-2-200000000000000000000000000000000-2200-200002000000
χ2522222222-2-2-2-2-2-22222222222-2-222-2-2-2-2000000000000000022-2-222-2-2000000000000000000000000
χ2622222222-2-2-2-2-2-22222222222-2-222-2-2-2-20000000000000000-2-222-2-222000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2222200000000000000000000000000000000000002-2000-220000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-222220000000000000000000000000000000000000-220002-20000
χ2922-2-2-22-220000002i2i−2i−2i2i2i−2i−2i2-2002-200002222−2−2−2−2i2i2i2i2−i2−i2−i2−i22i−2i002-200i2i2−i2−i222−2−20000000000000000
χ3022-2-2-22-220000002i2i−2i−2i2i2i−2i−2i2-2002-200002222−2−2−2−2i2i2i2i2−i2−i2−i2−i2−2i2i00-2200−i2−i2i2i2−2−2220000000000000000
χ3122-2-2-22-220000002i2i−2i−2i2i2i−2i−2i2-2002-20000−2−2−2−22222−i2−i2−i2−i2i2i2i2i22i−2i002-200−i2−i2i2i2−2−2220000000000000000
χ3222-2-2-22-220000002i2i−2i−2i2i2i−2i−2i2-2002-20000−2−2−2−22222−i2−i2−i2−i2i2i2i2i2−2i2i00-2200i2i2−i2−i222−2−20000000000000000
χ3322-2-2-22-22000000−2i−2i2i2i−2i−2i2i2i2-2002-200002222−2−2−2−2−i2−i2−i2−i2i2i2i2i22i−2i00-2200i2i2−i2−i2−2−2220000000000000000
χ3422-2-2-22-22000000−2i−2i2i2i−2i−2i2i2i2-2002-200002222−2−2−2−2−i2−i2−i2−i2i2i2i2i2−2i2i002-200−i2−i2i2i222−2−20000000000000000
χ3522-2-2-22-22000000−2i−2i2i2i−2i−2i2i2i2-2002-20000−2−2−2−22222i2i2i2i2−i2−i2−i2−i22i−2i00-2200−i2−i2i2i222−2−20000000000000000
χ3622-2-2-22-22000000−2i−2i2i2i−2i−2i2i2i2-2002-20000−2−2−2−22222i2i2i2i2−i2−i2−i2−i2−2i2i002-200i2i2−i2−i2−2−2220000000000000000
χ372-222-2-2-222i2i−2i−2i2-22i−2i2i−2i2i−2i2i−2i2-22-2-222i−2i2-20000000000000000000000002-22-22i−2i2i−2i0000000000000000
χ382-222-2-2-222i2i−2i−2i2-22i−2i2i−2i2i−2i2i−2i2-22-2-222i−2i2-2000000000000000000000000-22-22−2i2i−2i2i0000000000000000
χ392-222-2-2-222i2i−2i−2i2-2−2i2i−2i2i2i−2i2i−2i-222-22-2−2i2i-2200000000000000000000000000000000002-20002i−2i0000000
χ402-222-2-2-222i2i−2i−2i2-2−2i2i−2i2i2i−2i2i−2i-222-22-2−2i2i-220000000000000000000000000000000000-22000−2i2i0000000
χ412-222-2-2-222i2i−2i−2i-222i−2i2i−2i−2i2i−2i2i-22-222-2−2i2i2-2000000000000000000000000000000000000000000002-22i−2i
χ422-222-2-2-222i2i−2i−2i-222i−2i2i−2i−2i2i−2i2i-22-222-2−2i2i2-200000000000000000000000000000000000000000000-22−2i2i
χ432-222-2-2-222i2i−2i−2i-22−2i2i−2i2i−2i2i−2i2i2-2-22-222i−2i-222i2i−2i−2i2i2i−2i−2i22-2-222-2-200000000000000000000000000000000
χ442-222-2-2-222i2i−2i−2i-22−2i2i−2i2i−2i2i−2i2i2-2-22-222i−2i-22−2i−2i2i2i−2i−2i2i2i-2-222-2-22200000000000000000000000000000000
χ452-222-2-2-22−2i−2i2i2i2-22i−2i2i−2i−2i2i−2i2i-222-22-22i−2i-2200000000000000000000000000000000002-2000−2i2i0000000
χ462-222-2-2-22−2i−2i2i2i2-22i−2i2i−2i−2i2i−2i2i-222-22-22i−2i-220000000000000000000000000000000000-220002i−2i0000000
χ472-222-2-2-22−2i−2i2i2i2-2−2i2i−2i2i−2i2i−2i2i2-22-2-22−2i2i2-20000000000000000000000002-22-2−2i2i−2i2i0000000000000000
χ482-222-2-2-22−2i−2i2i2i2-2−2i2i−2i2i−2i2i−2i2i2-22-2-22−2i2i2-2000000000000000000000000-22-222i−2i2i−2i0000000000000000
χ492-222-2-2-22−2i−2i2i2i-222i−2i2i−2i2i−2i2i−2i2-2-22-22−2i2i-222i2i−2i−2i2i2i−2i−2i-2-222-2-22200000000000000000000000000000000
χ502-222-2-2-22−2i−2i2i2i-222i−2i2i−2i2i−2i2i−2i2-2-22-22−2i2i-22−2i−2i2i2i−2i−2i2i2i22-2-222-2-200000000000000000000000000000000
χ512-222-2-2-22−2i−2i2i2i-22−2i2i−2i2i2i−2i2i−2i-22-222-22i−2i2-2000000000000000000000000000000000000000000002-2−2i2i
χ522-222-2-2-22−2i−2i2i2i-22−2i2i−2i2i2i−2i2i−2i-22-222-22i−2i2-200000000000000000000000000000000000000000000-222i−2i
χ532-2-2-22-2220000002-2-222-2-222200-2-20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2002-2002-2i2−i2−i2i2−i2i2i2−i20000000000000000
χ542-2-2-22-2220000002-2-222-2-222200-2-20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200-2200-22−i2i2i2−i2i2−i2−i2i20000000000000000
χ552-2-2-22-2220000002-2-222-2-222200-2-20000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2002-2002-2−i2i2i2−i2i2−i2−i2i20000000000000000
χ562-2-2-22-2220000002-2-222-2-222200-2-20000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200-2200-22i2−i2−i2i2−i2i2i2−i20000000000000000
χ572-2-2-22-222000000-222-2-222-22200-2-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2002-200-22−i2i2i2−i2−i2i2i2−i20000000000000000
χ582-2-2-22-222000000-222-2-222-22200-2-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200-22002-2i2−i2−i2i2i2−i2−i2i20000000000000000
χ592-2-2-22-222000000-222-2-222-22200-2-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2002-200-22i2−i2−i2i2i2−i2−i2i20000000000000000
χ602-2-2-22-222000000-222-2-222-22200-2-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200-22002-2−i2i2i2−i2−i2i2i2−i20000000000000000
χ61444-44-4-4-44-44-4000000000000000000002-22-22-22-22-22-22-22-200000000000000000000000000000000
χ62444-44-4-4-44-44-400000000000000000000-22-22-22-22-22-22-22-2200000000000000000000000000000000
χ63444-44-4-4-4-44-44000000000000000000002-22-22-22-2-22-22-22-2200000000000000000000000000000000
χ64444-44-4-4-4-44-4400000000000000000000-22-22-22-222-22-22-22-200000000000000000000000000000000
χ6544-44-4-44-40000440000000000-4-400000022−2222−22−2222−22220000000000000000000000000000000000000000
χ6644-44-4-44-40000440000000000-4-4000000−2222−222222−2222−220000000000000000000000000000000000000000
χ6744-44-4-44-40000-4-4000000000044000000000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000
χ6844-44-4-44-40000-4-400000000004400000000000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000
χ6944-4-4-44-440000004i4i−4i−4i−4i−4i4i4i-4400-440000000000000000000000000000000000000000000000000000
χ7044-4-4-44-44000000−4i−4i4i4i4i4i−4i−4i-4400-440000000000000000000000000000000000000000000000000000
χ714-44-4-444-44i−4i−4i4i000000000000000000002i−2i−2i2i2i−2i−2i2i2-2-222-2-2200000000000000000000000000000000
χ724-44-4-444-44i−4i−4i4i00000000000000000000−2i2i2i−2i−2i2i2i−2i-222-2-222-200000000000000000000000000000000
χ734-44-4-444-4−4i4i4i−4i000000000000000000002i−2i−2i2i2i−2i−2i2i-222-2-222-200000000000000000000000000000000
χ744-44-4-444-4−4i4i4i−4i00000000000000000000−2i2i2i−2i−2i2i2i−2i2-2-222-2-2200000000000000000000000000000000
χ754-4-4444-4-400004-40000000000-44000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000
χ764-4-4444-4-400004-40000000000-4400000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000
χ774-4-4444-4-40000-4400000000004-40000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ784-4-4444-4-40000-4400000000004-4000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ794-4-4-44-4440000004-4-44-444-4-4-400440000000000000000000000000000000000000000000000000000
χ804-4-4-44-444000000-444-44-4-44-4-400440000000000000000000000000000000000000000000000000000

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