Finite Group Databasebeta

← Group #427270

Character table — Group #427270

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222222244448888888888888888888888161616161616161616161616161616161616
order12222222224444444444442222444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-111
χ51111111111111111111111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111
χ61111111111111111111111-1-111-1-1-1-11111-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ71111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111
χ9111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111
χ10111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1
χ11111111111111111111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111
χ14111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111
χ172222222222-2-2-2-2-2-2-2-200000000000022-2-200000022-2-2000000002-200000000
χ182222222222-2-2-2-2-2-2-2-200000000000022-2-2000000-2-22200000000-2200000000
χ192222222222-2-2-2-2-2-2-2-2000000000000-2-22200000022-2-200000000-2200000000
χ202222222222-2-2-2-2-2-2-2-2000000000000-2-222000000-2-222000000002-200000000
χ21222222-2-2-2-222-2-222-2-20000000022-2-200000000002i−2i2i−2i0000002i−2i0000000000
χ22222222-2-2-2-222-2-222-2-20000000022-2-20000000000−2i2i−2i2i000000−2i2i0000000000
χ23222222-2-2-2-222-2-222-2-200000000-2-22200000000002i−2i2i−2i000000−2i2i0000000000
χ24222222-2-2-2-222-2-222-2-200000000-2-2220000000000−2i2i−2i2i0000002i−2i0000000000
χ25222222-2-2-2-2-2-222-2-2220000220000000000-2-200002i−2i−2i2i00002i−2i000000000000
χ26222222-2-2-2-2-2-222-2-2220000220000000000-2-20000−2i2i2i−2i0000−2i2i000000000000
χ27222222-2-2-2-2-2-222-2-2220000-2-200000000002200002i−2i−2i2i0000−2i2i000000000000
χ28222222-2-2-2-2-2-222-2-2220000-2-20000000000220000−2i2i2i−2i00002i−2i000000000000
χ292222-2-2-22-222-22-22-22-20000002200002-22-200-2-2000000002-200000000000000
χ302222-2-2-22-222-22-22-22-2000000220000-22-2200-2-200000000-2200000000000000
χ312222-2-2-22-222-22-22-22-2000000-2-200002-22-2002200000000-2200000000000000
χ322222-2-2-22-222-22-22-22-2000000-2-20000-22-220022000000002-200000000000000
χ332222-2-2-22-22-22-22-22-222222000000002-2-220000-2-200002-20000000000000000
χ342222-2-2-22-22-22-22-22-22222200000000-222-20000-2-20000-220000000000000000
χ352222-2-2-22-22-22-22-22-22-2-2-2-2000000002-2-220000220000-220000000000000000
χ362222-2-2-22-22-22-22-22-22-2-2-2-200000000-222-200002200002-20000000000000000
χ372-2-222-222-2-2-22-2-22-2222i2i−2i−2i2-200000000002-2002i−2i000000000000002i−2i000000
χ382-2-222-222-2-2-22-2-22-2222i2i−2i−2i-220000000000-22002i−2i00000000000000−2i2i000000
χ392-2-222-222-2-2-22-2-22-222−2i−2i2i2i2-200000000002-200−2i2i00000000000000−2i2i000000
χ402-2-222-222-2-2-22-2-22-222−2i−2i2i2i-220000000000-2200−2i2i000000000000002i−2i000000
χ412-2-222-2-2-2222-2-2-2-222200002-22-200000000-222-20000000000000000002-20000
χ422-2-222-2-2-2222-2-2-2-222200002-2-2200000000-22-22000000000000000000-220000
χ432-2-222-2-2-2222-2-2-2-22220000-222-2000000002-22-2000000000000000000-220000
χ442-2-222-2-2-2222-2-2-2-22220000-22-22000000002-2-220000000000000000002-20000
χ452-2-22-222-2-2222-22-2-22-20000002-22i−2i2i−2i000000-2200000000000000000000002i−2i
χ462-2-22-222-2-2222-22-2-22-20000002-2−2i2i−2i2i000000-220000000000000000000000−2i2i
χ472-2-22-222-2-2222-22-2-22-2000000-222i−2i2i−2i0000002-20000000000000000000000−2i2i
χ482-2-22-222-2-2222-22-2-22-2000000-22−2i2i−2i2i0000002-200000000000000000000002i−2i
χ492-2-22-22-222-2222-2-2-2-222i2i−2i−2i00002i−2i−2i2i00000000−2i2i0000000000000000002-200
χ502-2-22-22-222-2222-2-2-2-222i2i−2i−2i0000−2i2i2i−2i00000000−2i2i000000000000000000-2200
χ512-2-22-22-222-2222-2-2-2-22−2i−2i2i2i00002i−2i−2i2i000000002i−2i000000000000000000-2200
χ522-2-22-22-222-2222-2-2-2-22−2i−2i2i2i0000−2i2i2i−2i000000002i−2i0000000000000000002-200
χ534444-4-44-44-44-4-444-4-4400000000000000000000000000000000000000000000
χ544444-4-44-44-4-444-4-444-400000000000000000000000000000000000000000000
χ554-4-444-444-4-44-444-44-4-400000000000000000000000000000000000000000000
χ564-4-444-4-4-444-44444-4-4-400000000000000000000000000000000000000000000
χ574-4-44-444-4-44-4-44-444-4400000000000000000000000000000000000000000000
χ584-4-44-44-444-4-4-4-44444-400000000000000000000000000000000000000000000
χ5988-8-8000000000000004-44-40000000000000000000000000000000000000000
χ6088-8-800000000000000-44-440000000000000000000000000000000000000000
χ618-88-8000000000000004i−4i−4i4i0000000000000000000000000000000000000000
χ628-88-800000000000000−4i4i4i−4i0000000000000000000000000000000000000000

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