Finite Group Databasebeta

← Group #243992

Character table — Group #243992

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111111112222222222222222222244444444444444444444888888888888888816161616161616161616161616161616
order12222222444444444444444444442244888888888888888888888888888888882244444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-11111-1-1
χ9111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1
χ10111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111
χ11111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ12111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ13111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111
χ14111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1
χ15111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1
χ16111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ172222222222-2-22222-2-2222222-2-2-2-2-2-2-2-200000000000000000000000022-2-222-2-20000000000000000
χ182222222222-2-22222-2-2222222-2-2-2-2-2-2-2-2000000000000000000000000-2-222-2-2220000000000000000
χ192222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2222200000000000000000000000022-2-2-2-2220000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-22222000000000000000000000000-2-22222-2-20000000000000000
χ2122222222-2-2222222-2-2-2-2-2-2-2-222-2-222-2-2000000000000000022-2-222-2-2000000000000000000000000
χ2222222222-2-2222222-2-2-2-2-2-2-2-222-2-222-2-20000000000000000-2-222-2-222000000000000000000000000
χ2322222222-2-222-2-2-2-2-2-22222-2-222-2-2-2-222000000000000000022-2-2-2-222000000000000000000000000
χ2422222222-2-222-2-2-2-2-2-22222-2-222-2-2-2-2220000000000000000-2-22222-2-2000000000000000000000000
χ2522222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2222222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ2622222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ292-222-22-2-2222222-2-22222-2-2-2-2-2-2-2-22-22-2000000000000000000000000000000002-2002-20000000000
χ302-222-22-2-2222222-2-22222-2-2-2-2-2-2-2-22-22-200000000000000000000000000000000-2200-220000000000
χ312-222-22-2-22222-2-22222-2-222-2-2-2-2-2-2-22-22000000000000000000000000000000002-200-220000000000
χ322-222-22-2-22222-2-22222-2-222-2-2-2-2-2-2-22-2200000000000000000000000000000000-22002-20000000000
χ332-222-22-2-222-2-222-2-2-2-222-2-2-2-22222-22-2200000000000000000000000000000000000000002i−2i00002i−2i
χ342-222-22-2-222-2-222-2-2-2-222-2-2-2-22222-22-220000000000000000000000000000000000000000−2i2i0000−2i2i
χ352-222-22-2-222-2-2-2-222-2-2-2-222-2-222222-22-200000000000000000000000000000000000000002i−2i0000−2i2i
χ362-222-22-2-222-2-2-2-222-2-2-2-222-2-222222-22-20000000000000000000000000000000000000000−2i2i00002i−2i
χ372-222-22-2-2-2-22222-2-2-2-2-2-22222-2-2222-2-22000000000000000000000000000000000000002i−2i00002i−2i00
χ382-222-22-2-2-2-22222-2-2-2-2-2-22222-2-2222-2-2200000000000000000000000000000000000000−2i2i0000−2i2i00
χ392-222-22-2-2-2-222-2-222-2-222-2-222-2-222-222-2000000000000000000000000000000000000002i−2i0000−2i2i00
χ402-222-22-2-2-2-222-2-222-2-222-2-222-2-222-222-200000000000000000000000000000000000000−2i2i00002i−2i00
χ412-222-22-2-2-2-2-2-222-2-222-2-2222222-2-2-222-200000000000000000000000000000000002i−2i0000002i−2i0000
χ422-222-22-2-2-2-2-2-222-2-222-2-2222222-2-2-222-20000000000000000000000000000000000−2i2i000000−2i2i0000
χ432-222-22-2-2-2-2-2-2-2-2222222-2-22222-2-22-2-2200000000000000000000000000000000002i−2i000000−2i2i0000
χ442-222-22-2-2-2-2-2-2-2-2222222-2-22222-2-22-2-220000000000000000000000000000000000−2i2i0000002i−2i0000
χ452-22-22-22-22-2002i−2i2i−2i002i−2i2i−2i2-20000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i22−22−2i2−i2i2−i2002-2002i−2i0000000000000000
χ462-22-22-22-22-2002i−2i2i−2i002i−2i2i−2i2-20000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i2−22−22−i2i2−i2i200-2200−2i2i0000000000000000
χ472-22-22-22-22-2002i−2i2i−2i002i−2i2i−2i2-200000000−2−222−2−222−i2−i2i2i2−i2−i2i2i22−22−2i2−i2i2−i200-2200−2i2i0000000000000000
χ482-22-22-22-22-2002i−2i2i−2i002i−2i2i−2i2-200000000−2−222−2−222−i2−i2i2i2−i2−i2i2i2−22−22−i2i2−i2i2002-2002i−2i0000000000000000
χ492-22-22-22-22-200−2i2i−2i2i00−2i2i−2i2i2-20000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i22−22−2−i2i2−i2i2002-200−2i2i0000000000000000
χ502-22-22-22-22-200−2i2i−2i2i00−2i2i−2i2i2-20000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i2−22−22i2−i2i2−i200-22002i−2i0000000000000000
χ512-22-22-22-22-200−2i2i−2i2i00−2i2i−2i2i2-200000000−2−222−2−222i2i2−i2−i2i2i2−i2−i22−22−2−i2i2−i2i200-22002i−2i0000000000000000
χ522-22-22-22-22-200−2i2i−2i2i00−2i2i−2i2i2-200000000−2−222−2−222i2i2−i2−i2i2i2−i2−i2−22−22i2−i2i2−i2002-200−2i2i0000000000000000
χ532-22-22-22-2-22002i−2i2i−2i00−2i2i−2i2i-220000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i22−2−22i2−i2−i2i22-2002i−2i000000000000000000
χ542-22-22-22-2-22002i−2i2i−2i00−2i2i−2i2i-220000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2−222−2−i2i2i2−i2-2200−2i2i000000000000000000
χ552-22-22-22-2-22002i−2i2i−2i00−2i2i−2i2i-2200000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i22−2−22i2−i2−i2i2-2200−2i2i000000000000000000
χ562-22-22-22-2-22002i−2i2i−2i00−2i2i−2i2i-2200000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2−222−2−i2i2i2−i22-2002i−2i000000000000000000
χ572-22-22-22-2-2200−2i2i−2i2i002i−2i2i−2i-220000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i22−2−22−i2i2i2−i22-200−2i2i000000000000000000
χ582-22-22-22-2-2200−2i2i−2i2i002i−2i2i−2i-220000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2−222−2i2−i2−i2i2-22002i−2i000000000000000000
χ592-22-22-22-2-2200−2i2i−2i2i002i−2i2i−2i-2200000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i22−2−22−i2i2i2−i2-22002i−2i000000000000000000
χ602-22-22-22-2-2200−2i2i−2i2i002i−2i2i−2i-2200000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2−222−2i2−i2−i2i22-200−2i2i000000000000000000
χ61444-4-4-4-444-4004i−4i−4i4i004i−4i−4i4i-4400000000000000000000000000000000000000000000000000000000
χ62444-4-4-4-444-400−4i4i4i−4i00−4i4i4i−4i-4400000000000000000000000000000000000000000000000000000000
χ63444-4-4-4-44-44004i−4i−4i4i00−4i4i4i−4i4-400000000000000000000000000000000000000000000000000000000
χ64444-4-4-4-44-4400−4i4i4i−4i004i−4i−4i4i4-400000000000000000000000000000000000000000000000000000000
χ6544-444-4-4-4004-40000000000004-400000022−2222−2222−2222−220000000000000000000000000000000000000000
χ6644-444-4-4-4004-40000000000004-4000000−2222−2222−2222−22220000000000000000000000000000000000000000
χ6744-444-4-4-400-44000000000000-4400000022−2222−22−2222−22220000000000000000000000000000000000000000
χ6844-444-4-4-400-44000000000000-44000000−2222−222222−2222−220000000000000000000000000000000000000000
χ6944-4-4-444-4000000004-4000000004-40000000000004i−4i4i−4i000000000000000000000000000000000000
χ7044-4-4-444-4000000004-4000000004-4000000000000−4i4i−4i4i000000000000000000000000000000000000
χ7144-4-4-444-400000000-4400000000-4400000000000000004i−4i4i−4i00000000000000000000000000000000
χ7244-4-4-444-400000000-4400000000-440000000000000000−4i4i−4i4i00000000000000000000000000000000
χ734-4-44-4-444004-4000000000000-440000000000000022−22−222222−22−222200000000000000000000000000000000
χ744-4-44-4-444004-4000000000000-4400000000000000−222222−22−222222−2200000000000000000000000000000000
χ754-4-44-4-44400-440000000000004-40000000000000022−22−2222−222222−2200000000000000000000000000000000
χ764-4-44-4-44400-440000000000004-400000000000000−222222−2222−22−222200000000000000000000000000000000
χ774-4-4-444-44000000004-400000000-44000000004-4-440000000000000000000000000000000000000000
χ784-4-4-444-44000000004-400000000-4400000000-444-40000000000000000000000000000000000000000
χ794-4-4-444-4400000000-44000000004-400004-4-4400000000000000000000000000000000000000000000
χ804-4-4-444-4400000000-44000000004-40000-444-400000000000000000000000000000000000000000000

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