Finite Group Databasebeta

← Group #288905

Character table — Group #288905

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444444444444444444441616161616161616161616161616161632323232
order12222222444444444488888888888888888888888822244444888888882444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-111-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1-111-1-1-1-1-11-11
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-111111-1-1-1-1-1-11-11-1
χ71111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11111111-11-1
χ81111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-11111-11-11
χ9111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11111-11-1-1-1-111-1-111-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11-1-1111111-1-1-1-111
χ11111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-111-1-111
χ12111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11-11111-1-11111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-1-111-111-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-11-11-1-111-1-1111-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11-11-111-1-111-1-11-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-11111-1-1-111-1
χ17222222222-2-22-222-2-2-222220000-2-2-2-200000000000022000-2-20000000000000
χ18222222222-2-22-222-2-2-222220000-2-2-2-2000000000000-2-2000220000000000000
χ19222222222-2-22-222-2-2-2-2-2-2-2000022220000000000002-2000-220000000000000
χ20222222222-2-22-222-2-2-2-2-2-2-200002222000000000000-220002-20000000000000
χ2122222222-222-22-2-22-2-2000022220000-2-2-2-200000000002-2-2002000000000000
χ2222222222-222-22-2-22-2-2000022220000-2-2-2-20000000000-22200-2000000000000
χ2322222222-222-22-2-22-2-20000-2-2-2-200002222000000000022-200-2000000000000
χ2422222222-222-22-2-22-2-20000-2-2-2-2000022220000000000-2-22002000000000000
χ252-2-22-222-2222-2-22-2-2-2200002i2i−2i−2i00002i2i−2i−2i00000000000000002-22i−2i00000000
χ262-2-22-222-2222-2-22-2-2-2200002i2i−2i−2i00002i2i−2i−2i0000000000000000-22−2i2i00000000
χ272-2-22-222-2222-2-22-2-2-220000−2i−2i2i2i0000−2i−2i2i2i00000000000000002-2−2i2i00000000
χ282-2-22-222-2222-2-22-2-2-220000−2i−2i2i2i0000−2i−2i2i2i0000000000000000-222i−2i00000000
χ292-2-22-222-2-2222-2-22-22-222-2-22i2i−2i−2i22-2-2−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000
χ302-2-22-222-2-2222-2-22-22-222-2-2−2i−2i2i2i22-2-22i2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000
χ312-2-22-222-2-2222-2-22-22-2-2-2222i2i−2i−2i-2-222−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000
χ322-2-22-222-2-2222-2-22-22-2-2-222−2i−2i2i2i-2-2222i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000
χ332-2-22-222-2-2-2-222-222-2222-2-20000-2-2220000000000000000000000002-22-20000
χ342-2-22-222-2-2-2-222-222-2222-2-20000-2-222000000000000000000000000-22-220000
χ352-2-22-222-2-2-2-222-222-22-2-222000022-2-20000000000000000000000002-2-220000
χ362-2-22-222-2-2-2-222-222-22-2-222000022-2-2000000000000000000000000-222-20000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ38444-4-44-4-4000000000022−2222−222i2−2i22i2−2i2000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ39444-4-44-4-4000000000022−2222−22−2i22i2−2i22i200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ40444-4-44-4-40000000000−2222−22222i2−2i22i2−2i200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ41444-4-44-4-40000000000−2222−2222−2i22i2−2i22i2000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ4244-444-4-4-4400-40-4400000000000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000
χ4344-444-4-4-4400-40-440000000000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000
χ4444-444-4-4-4-400404-4000000000004i−4i4i−4i00000000000000000000000000000000
χ4544-444-4-4-4-400404-400000000000−4i4i−4i4i00000000000000000000000000000000
χ4644-4-4-4-44404-40400-4000000000000004i−4i4i−4i0000000000000000000000000000
χ4744-4-4-4-44404-40400-400000000000000−4i4i−4i4i0000000000000000000000000000
χ4844-4-4-4-4440-440-400400000000000000000022−22−222222−22−222200000000000000000000
χ4944-4-4-4-4440-440-4004000000000000000000−222222−22−222222−2200000000000000000000
χ504-444-4-4-4440040-4-4000000000004i−4i−4i4i00000000000000000000000000000000
χ514-444-4-4-4440040-4-400000000000−4i4i4i−4i00000000000000000000000000000000
χ524-444-4-4-44-400-4044000000000000000000022−2222−22−2222−222200000000000000000000
χ534-444-4-4-44-400-40440000000000000000000−2222−222222−2222−2200000000000000000000
χ544-44-44-44-404-40-4004000000000000004-4-440000000000000000000000000000
χ554-44-44-44-404-40-400400000000000000-444-40000000000000000000000000000
χ564-44-44-44-40-440400-40000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000
χ574-44-44-44-40-440400-4000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000
χ584-4-44-444-44-4-4-444-444-400000000000000000000000000000000000000000000
χ594-4-4-444-44000000000022−22−222222−22−22220000000022-2-2-2-22200000000000000000000
χ604-4-4-444-44000000000022−22−2222−222222−2200000000-2-22222-2-200000000000000000000
χ614-4-4-444-440000000000−222222−2222−22−222200000000-2-22222-2-200000000000000000000
χ624-4-4-444-440000000000−222222−22−222222−220000000022-2-2-2-22200000000000000000000

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