Finite Group Databasebeta

← Group #270937

Character table — Group #270937

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444444444444422444444448888888888888888224444444488888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1
χ611111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-111
χ711111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-11-1-11-1-1-1-111
χ811111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-11111-1-1
χ911111111-1-1-1-111-1-1-1-1111111-1-11-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-1-111-1-11-1
χ1011111111-1-1-1-111-1-1-1-1111111-1-11-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1111-1-111-11
χ1111111111-1-1-1-111-1-1-1-1111111-1-11-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-111-11
χ1211111111-1-1-1-111-1-1-1-1111111-1-11-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-111111-1-11-1
χ1311111111-1-1-1-111-1-1-1-1111111-1-11-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1111-111-1-1-11
χ1411111111-1-1-1-111-1-1-1-1111111-1-11-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-11-1-1111-1
χ1511111111-1-1-1-111-1-1-1-1111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-1111111-1-1-1-1-1-1111-1-1-1111-1
χ1611111111-1-1-1-111-1-1-1-1111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-111-1-1-1111-1-1-11
χ1722222222222222-2-2-2-2-2-222-2-2-2-2-2222222-20000000000000000-2-200-2-2002200000000000000000000
χ1822222222222222-2-2-2-2-2-222-2-2-2-2-222-2-2-2-2-2000000000000000022002200-2-200000000000000000000
χ19222222222222-2-2222222-2-222-2-2-2-2-20000-2000000000000000000220022000000000000-200-2000000
χ20222222222222-2-2222222-2-222-2-2-2-2-20000-2000000000000000000-2-200-2-20000000000002002000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-20000200000000000000000000000000000000002-202-20000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2000020000000000000000000000000000000000-220-220000000
χ2322222222-2-2-2-2222222-2-222-2-222-2-2-22222-20000000000000000-2-2002200-2-200000000000000000000
χ2422222222-2-2-2-2222222-2-222-2-222-2-2-2-2-2-2-2-200000000000000002200-2-2002200000000000000000000
χ2522222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-22220000200000000000000000000000000000000002-20-220000000
χ2622222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222000020000000000000000000000000000000000-2202-20000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-22222-2220000-20000000000000000002200-2-2000000000000-2002000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-22222-2220000-2000000000000000000-2-20022000000000000200-2000000
χ2922-22-2-22-20000-2-222-2-20022002-20002i2i−2i−2i0i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i200002i−2i000022−2−222−2−2000000000000
χ3022-22-2-22-20000-2-222-2-20022002-20002i2i−2i−2i0−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i200002i−2i0000−2−222−2−222000000000000
χ3122-22-2-22-20000-2-222-2-20022002-2000−2i−2i2i2i0i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000−2i2i0000−2−222−2−222000000000000
χ3222-22-2-22-20000-2-222-2-20022002-2000−2i−2i2i2i0−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i20000−2i2i000022−2−222−2−2000000000000
χ3322-22-2-22-20000-2-2-2-222002200-220002i2i−2i−2i0i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i20000−2i2i000022−2−2−2−222000000000000
χ3422-22-2-22-20000-2-2-2-222002200-220002i2i−2i−2i0−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i20000−2i2i0000−2−22222−2−2000000000000
χ3522-22-2-22-20000-2-2-2-222002200-22000−2i−2i2i2i0i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i200002i−2i0000−2−22222−2−2000000000000
χ3622-22-2-22-20000-2-2-2-222002200-22000−2i−2i2i2i0−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i200002i−2i000022−2−2−2−222000000000000
χ372-222-2-2-222i2i−2i−2i002i−2i2i−2i2-2002-20000000000i2i2−i2−i2i2i2−i2−i222−2−222−2−2002-2002i−2i0000000000000000i2−i22−200
χ382-222-2-2-222i2i−2i−2i002i−2i2i−2i2-2002-20000000000i2i2−i2−i2i2i2−i2−i222−2−222−2−200-2200−2i2i0000000000000000−i2i2−2200
χ392-222-2-2-222i2i−2i−2i002i−2i2i−2i2-2002-20000000000−i2−i2i2i2−i2−i2i2i2−2−222−2−222002-2002i−2i0000000000000000−i2i2−2200
χ402-222-2-2-222i2i−2i−2i002i−2i2i−2i2-2002-20000000000−i2−i2i2i2−i2−i2i2i2−2−222−2−22200-2200−2i2i0000000000000000i2−i22−200
χ412-222-2-2-22−2i−2i2i2i00−2i2i−2i2i2-2002-20000000000i2i2−i2−i2i2i2−i2−i2−2−222−2−222002-200−2i2i0000000000000000i2−i2−2200
χ422-222-2-2-22−2i−2i2i2i00−2i2i−2i2i2-2002-20000000000i2i2−i2−i2i2i2−i2−i2−2−222−2−22200-22002i−2i0000000000000000−i2i22−200
χ432-222-2-2-22−2i−2i2i2i00−2i2i−2i2i2-2002-20000000000−i2−i2i2i2−i2−i2i2i222−2−222−2−2002-200−2i2i0000000000000000−i2i22−200
χ442-222-2-2-22−2i−2i2i2i00−2i2i−2i2i2-2002-20000000000−i2−i2i2i2−i2−i2i2i222−2−222−2−200-22002i−2i0000000000000000i2−i2−2200
χ452-22-22-22-22i−2i2i−2i2-20000002-2000002i−2i2i−2i2i−2i0i2−i2i2−i2i2−i2i2−i22−22−22−22−2000000002-22−22−2i2−i2i2−i2000000000000
χ462-22-22-22-22i−2i2i−2i2-20000002-2000002i−2i2i−2i2i−2i0−i2i2−i2i2−i2i2−i2i2−22−22−22−22000000002-2−22−22−i2i2−i2i2000000000000
χ472-22-22-22-22i−2i2i−2i2-20000002-2000002i−2i−2i2i−2i2i0i2−i2i2−i2i2−i2i2−i22−22−22−22−200000000-22−22−22−i2i2−i2i2000000000000
χ482-22-22-22-22i−2i2i−2i2-20000002-2000002i−2i−2i2i−2i2i0−i2i2−i2i2−i2i2−i2i2−22−22−22−2200000000-222−22−2i2−i2i2−i2000000000000
χ492-22-22-22-2−2i2i−2i2i2-20000002-200000−2i2i2i−2i2i−2i0i2−i2i2−i2i2−i2i2−i2−22−22−22−2200000000-222−22−2−i2i2−i2i2000000000000
χ502-22-22-22-2−2i2i−2i2i2-20000002-200000−2i2i2i−2i2i−2i0−i2i2−i2i2−i2i2−i2i22−22−22−22−200000000-22−22−22i2−i2i2−i2000000000000
χ512-22-22-22-2−2i2i−2i2i2-20000002-200000−2i2i−2i2i−2i2i0i2−i2i2−i2i2−i2i2−i2−22−22−22−22000000002-2−22−22i2−i2i2−i2000000000000
χ522-22-22-22-2−2i2i−2i2i2-20000002-200000−2i2i−2i2i−2i2i0−i2i2−i2i2−i2i2−i2i22−22−22−22−2000000002-22−22−2−i2i2−i2i2000000000000
χ532-2-2-2-22220000-220000222-2-2-2002002-2-22-2000000002i−2i2i−2i−2i2i−2i2i2-2000000000000−2i2i2i−2i000000000000
χ542-2-2-2-22220000-220000222-2-2-2002002-2-22-200000000−2i2i−2i2i2i−2i2i−2i2-20000000000002i−2i−2i2i000000000000
χ552-2-2-2-22220000-220000222-2-2-200200-222-2-2000000002i−2i2i−2i−2i2i−2i2i-220000000000002i−2i−2i2i000000000000
χ562-2-2-2-22220000-220000222-2-2-200200-222-2-200000000−2i2i−2i2i2i−2i2i−2i-22000000000000−2i2i2i−2i000000000000
χ572-2-2-2-22220000-220000-2-22-22200-2002-2-2222-22-2-22-2200000000-22000000002-2-220000000000000000
χ582-2-2-2-22220000-220000-2-22-22200-2002-2-222-22-222-22-200000000-2200000000-222-20000000000000000
χ592-2-2-2-22220000-220000-2-22-22200-200-222-222-22-2-22-22000000002-200000000-222-20000000000000000
χ602-2-2-2-22220000-220000-2-22-22200-200-222-22-22-222-22-2000000002-2000000002-2-220000000000000000
χ61444-4-44-4-44-4-4400000000000000000000002-2-222-2-222-2-222-2-22000000000000000000000000000000
χ62444-4-44-4-44-4-440000000000000000000000-222-2-222-2-222-2-222-2000000000000000000000000000000
χ63444-4-44-4-4-444-400000000000000000000002-2-222-2-22-222-2-222-2000000000000000000000000000000
χ64444-4-44-4-4-444-40000000000000000000000-222-2-222-22-2-222-2-22000000000000000000000000000000
χ6544-44-4-44-400004444-4-400-4-400-44000000000000000000000000000000000000000000000000000000
χ6644-44-4-44-4000044-4-44400-4-4004-4000000000000000000000000000000000000000000000000000000
χ6744-4-44-4-4400000000004-400-440000000000000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000
χ6844-4-44-4-4400000000004-400-44000000000000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000
χ6944-4-44-4-440000000000-44004-400000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000000
χ7044-4-44-4-440000000000-44004-40000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000000
χ714-444-4-4-444i4i−4i−4i00−4i4i−4i4i-4400-4400000000000000000000000000000000000000000000000000000000
χ724-444-4-4-44−4i−4i4i4i004i−4i4i−4i-4400-4400000000000000000000000000000000000000000000000000000000
χ734-44-44-44-44i−4i4i−4i-44000000-4400000−4i4i000000000000000000000000000000000000000000000000000
χ744-44-44-44-4−4i4i−4i4i-44000000-44000004i−4i000000000000000000000000000000000000000000000000000
χ754-4-4444-4-40000004i−4i−4i4i000000000000000022-2-2-2-222−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ764-4-4444-4-40000004i−4i−4i4i0000000000000000-2-22222-2-22i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ774-4-4444-4-4000000−4i4i4i−4i000000000000000022-2-2-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ784-4-4444-4-4000000−4i4i4i−4i0000000000000000-2-22222-2-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ794-4-4-4-444400004-4000044-44-4-400-400000040000000000000000000000000000000000000000000000
χ804-4-4-4-444400004-40000-4-4-4444004000000-40000000000000000000000000000000000000000000000

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