Finite Group Databasebeta

← Group #295520

Character table — Group #295520

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444444444444444444444448888888888888888224444444488888888444444888844
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
χ51111111111111111111111111111-1-1-1-1111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1
χ61111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-111
χ71111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-11-1-11-1-1-1-111
χ81111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-11111-1-1
χ91111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1111-1-11-1
χ101111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111-1-1-111-11
χ111111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-11-1-111-11
χ121111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1111-111-1-11-1
χ131111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-111111-1-1-11
χ141111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1111-1
χ151111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1111-1-1111-1
χ161111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1111-1-1-111-1-1-11
χ1722222222222222-2-2-2-2-2-222-2-2-2-2222222-2-20000000000000000-2-200-2-2002200000000000000000000
χ1822222222222222-2-2-2-2-2-222-2-2-2-222-2-2-2-2-2-2000000000000000022002200-2-200000000000000000000
χ192222222222-2-2-2-2-2-2222222-2-222-2-22222-2-200000000000000002200-2-200-2-200000000000000000000
χ202222222222-2-2-2-2-2-2222222-2-222-2-2-2-2-2-2-2-20000000000000000-2-20022002200000000000000000000
χ2122222222-2-22222222222-2-222-2-2-2-20000-2-2000000000000000000220022000000000000-200-2000000
χ2222222222-2-22222222222-2-222-2-2-2-20000-2-2000000000000000000-2-200-2-20000000000002002000000
χ2322222222-2-22222-2-2-2-2-2-2-2-2-2-222-2-200002200000000000000000000000000000000002-202-20000000
χ2422222222-2-22222-2-2-2-2-2-2-2-2-2-222-2-20000220000000000000000000000000000000000-220-220000000
χ2522222222-2-2-2-2-2-222-2-2-2-2-2-22222220000-2-20000000000000000002200-2-2000000000000200-2000000
χ2622222222-2-2-2-2-2-222-2-2-2-2-2-22222220000-2-2000000000000000000-2-20022000000000000-2002000000
χ2722222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22200002200000000000000000000000000000000002-20-220000000
χ2822222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2220000220000000000000000000000000000000000-2202-20000000
χ2922-22-22-2-2-2-200002-20000222-200002i2i−2i−2i2-2000000002i2i2i2i−2i−2i−2i−2i00002i−2i0000000022-2-2000000000000
χ3022-22-22-2-2-2-200002-20000222-200002i2i−2i−2i2-200000000−2i−2i−2i−2i2i2i2i2i00002i−2i00000000-2-222000000000000
χ3122-22-22-2-2-2-200002-20000222-20000−2i−2i2i2i2-2000000002i2i2i2i−2i−2i−2i−2i0000−2i2i00000000-2-222000000000000
χ3222-22-22-2-2-2-200002-20000222-20000−2i−2i2i2i2-200000000−2i−2i−2i−2i2i2i2i2i0000−2i2i0000000022-2-2000000000000
χ3322-22-22-2-2-2-20000-22000022-2200002i2i−2i−2i-222i2i2i2i−2i−2i−2i−2i000000000000−2i2i000022-2-20000000000000000
χ3422-22-22-2-2-2-20000-22000022-2200002i2i−2i−2i-22−2i−2i−2i−2i2i2i2i2i000000000000−2i2i0000-2-2220000000000000000
χ3522-22-22-2-2-2-20000-22000022-220000−2i−2i2i2i-222i2i2i2i−2i−2i−2i−2i0000000000002i−2i0000-2-2220000000000000000
χ3622-22-22-2-2-2-20000-22000022-220000−2i−2i2i2i-22−2i−2i−2i−2i2i2i2i2i0000000000002i−2i000022-2-20000000000000000
χ372-222-2-2-222-22i2i−2i−2i0000002-200002i−2i2-22-200i2i2−i2−i2i2i2−i2−i222−2−222−2−2000000002i−2ii2−i2i2−i22−22−2000000000000
χ382-222-2-2-222-22i2i−2i−2i0000002-200002i−2i2-22-200−i2−i2i2i2−i2−i2i2i2−2−222−2−222000000002i−2i−i2i2−i2i2−22−22000000000000
χ392-222-2-2-222-22i2i−2i−2i0000002-200002i−2i-22-2200i2i2−i2−i2i2i2−i2−i222−2−222−2−200000000−2i2i−i2i2−i2i2−22−22000000000000
χ402-222-2-2-222-22i2i−2i−2i0000002-200002i−2i-22-2200−i2−i2i2i2−i2−i2i2i2−2−222−2−22200000000−2i2ii2−i2i2−i22−22−2000000000000
χ412-222-2-2-222-2−2i−2i2i2i0000002-20000−2i2i2-22-200i2i2−i2−i2i2i2−i2−i2−2−222−2−22200000000−2i2ii2−i2i2−i2−22−22000000000000
χ422-222-2-2-222-2−2i−2i2i2i0000002-20000−2i2i2-22-200−i2−i2i2i2−i2−i2i2i222−2−222−2−200000000−2i2i−i2i2−i2i22−22−2000000000000
χ432-222-2-2-222-2−2i−2i2i2i0000002-20000−2i2i-22-2200i2i2−i2−i2i2i2−i2−i2−2−222−2−222000000002i−2i−i2i2−i2i22−22−2000000000000
χ442-222-2-2-222-2−2i−2i2i2i0000002-20000−2i2i-22-2200−i2−i2i2i2−i2−i2i2i222−2−222−2−2000000002i−2ii2−i2i2−i2−22−22000000000000
χ452-22-2-222-2002i−2i2i−2i2-22i2i−2i−2i00-220000000000i2−i2i2−i2i2−i2i2−i22−22−22−22−2002-2002i−2i0000000000000000i2−i22−200
χ462-22-2-222-2002i−2i2i−2i2-22i2i−2i−2i00-220000000000i2−i2i2−i2i2−i2i2−i22−22−22−22−200-2200−2i2i0000000000000000−i2i2−2200
χ472-22-2-222-2002i−2i2i−2i2-22i2i−2i−2i00-220000000000−i2i2−i2i2−i2i2−i2i2−22−22−22−22002-2002i−2i0000000000000000−i2i2−2200
χ482-22-2-222-2002i−2i2i−2i2-22i2i−2i−2i00-220000000000−i2i2−i2i2−i2i2−i2i2−22−22−22−2200-2200−2i2i0000000000000000i2−i22−200
χ492-22-2-222-200−2i2i−2i2i2-2−2i−2i2i2i00-220000000000i2−i2i2−i2i2−i2i2−i2−22−22−22−22002-200−2i2i0000000000000000i2−i2−2200
χ502-22-2-222-200−2i2i−2i2i2-2−2i−2i2i2i00-220000000000i2−i2i2−i2i2−i2i2−i2−22−22−22−2200-22002i−2i0000000000000000−i2i22−200
χ512-22-2-222-200−2i2i−2i2i2-2−2i−2i2i2i00-220000000000−i2i2−i2i2−i2i2−i2i22−22−22−22−2002-200−2i2i0000000000000000−i2i22−200
χ522-22-2-222-200−2i2i−2i2i2-2−2i−2i2i2i00-220000000000−i2i2−i2i2−i2i2−i2i22−22−22−22−200-22002i−2i0000000000000000i2−i2−2200
χ532-2-222-22-2-220000002i−2i2i−2i2-2002i−2i002i−2i−2i2i0022−2−2−2−222i2i2−i2−i2−i2−i2i2i22-200000000−i2i2i2−i22−2−22000000000000
χ542-2-222-22-2-220000002i−2i2i−2i2-2002i−2i002i−2i−2i2i00−2−22222−2−2−i2−i2i2i2i2i2−i2−i22-200000000i2−i2−i2i2−222−2000000000000
χ552-2-222-22-2-220000002i−2i2i−2i2-2002i−2i00−2i2i2i−2i0022−2−2−2−222i2i2−i2−i2−i2−i2i2i2-2200000000i2−i2−i2i2−222−2000000000000
χ562-2-222-22-2-220000002i−2i2i−2i2-2002i−2i00−2i2i2i−2i00−2−22222−2−2−i2−i2i2i2i2i2−i2−i2-2200000000−i2i2i2−i22−2−22000000000000
χ572-2-222-22-2-22000000−2i2i−2i2i2-200−2i2i002i−2i−2i2i0022−2−2−2−222−i2−i2i2i2i2i2−i2−i2-2200000000−i2i2i2−i2−222−2000000000000
χ582-2-222-22-2-22000000−2i2i−2i2i2-200−2i2i002i−2i−2i2i00−2−22222−2−2i2i2−i2−i2−i2−i2i2i2-2200000000i2−i2−i2i22−2−22000000000000
χ592-2-222-22-2-22000000−2i2i−2i2i2-200−2i2i00−2i2i2i−2i0022−2−2−2−222−i2−i2i2i2i2i2−i2−i22-200000000i2−i2−i2i22−2−22000000000000
χ602-2-222-22-2-22000000−2i2i−2i2i2-200−2i2i00−2i2i2i−2i00−2−22222−2−2i2i2−i2−i2−i2−i2i2i22-200000000−i2i2i2−i2−222−2000000000000
χ61444-44-4-4-4004-4-44000000000000000000002-2-222-2-222-2-222-2-22000000000000000000000000000000
χ62444-44-4-4-4004-4-4400000000000000000000-222-2-222-2-222-2-222-2000000000000000000000000000000
χ63444-44-4-4-400-444-4000000000000000000002-2-222-2-22-222-2-222-2000000000000000000000000000000
χ64444-44-4-4-400-444-400000000000000000000-222-2-222-22-2-222-2-22000000000000000000000000000000
χ6544-44-44-4-44400004-40000-4-44-400000000-440000000000000000000000000000000000000000000000
χ6644-44-44-4-4440000-440000-4-4-44000000004-40000000000000000000000000000000000000000000000
χ6744-4-4-4-444000000004-4-44000000000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ6844-4-4-4-444000000004-4-4400000000000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ6944-4-4-4-44400000000-444-4000000000000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ7044-4-4-4-44400000000-444-400000000000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ714-444-4-4-44-444i4i−4i−4i000000-440000−4i4i0000000000000000000000000000000000000000000000000000
χ724-444-4-4-44-44−4i−4i4i4i000000-4400004i−4i0000000000000000000000000000000000000000000000000000
χ734-44-4-444-4004i−4i4i−4i-44−4i−4i4i4i004-400000000000000000000000000000000000000000000000000000000
χ744-44-4-444-400−4i4i−4i4i-444i4i−4i−4i004-400000000000000000000000000000000000000000000000000000000
χ754-4-444-44-44-40000004i−4i4i−4i-4400−4i4i000000000000000000000000000000000000000000000000000000
χ764-4-444-44-44-4000000−4i4i−4i4i-44004i−4i000000000000000000000000000000000000000000000000000000
χ774-4-4-444-4400000044000000-4-40000000000000000002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000
χ784-4-4-444-4400000044000000-4-4000000000000000000−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000
χ794-4-4-444-44000000-4-400000044000000000022−2222−22−2222−222200000000000000000000000000000000000000
χ804-4-4-444-44000000-4-4000000440000000000−2222−222222−2222−2200000000000000000000000000000000000000

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