Finite Group Databasebeta

← Group #348243

Character table — Group #348243

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444444448888888888888888888888888816161616161616161616161616161616
order12222222222244444444224444444444444444444444442244444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-1111-1-1-1-111-1-111-1-1-1-11-1-111-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1111-1-1-1-111-1-111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-11-1-1-1-1-1-1-1-111-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-11-1-1-1-1-1-1-1-111-1-111111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-111-1-11111-11111-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1
χ10111111111111-1-111-1-11111-11111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111
χ11111111111111-1-111-1-11111-1-1-111-1-111-1-1111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ12111111111111-1-111-1-11111-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ13111111111111-1-111-1-111-1-1-111-1-111-1-1-1-1-1-11111-11111-1-111-1-111-1-1-1-111-1-111
χ14111111111111-1-111-1-111-1-1-111-1-111-1-1-1-1-1-11111-11111-1-1-1-111-1-11111-1-111-1-1
χ15111111111111-1-111-1-111-1-1-1-1-1-1-111111111-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1
χ16111111111111-1-111-1-111-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-111
χ1722222222222222-2-2-2-2-2-2002220000-2-200220000-200-2-2000000000000000000
χ1822222222222222-2-2-2-2-2-2002-2-200002200-2-20000-20022000000000000000000
χ19222222222222-2-2-2-222-2-200-22200002200-2-20000200-2-2000000000000000000
χ20222222222222-2-2-2-222-2-200-2-2-20000-2-20022000020022000000000000000000
χ2122222222-2-2-2-2222-2222-200-200000000220022-2-2-20000-2-20000000000000000
χ2222222222-2-2-2-2222-2222-200-200000000-2-200-2-222-20000220000000000000000
χ2322222222-2-2-2-222-22-2-2-2222-200-2-22200000000002-2-200000000000000000000
χ2422222222-2-2-2-222-22-2-2-22-2-2-20022-2-2000000000022200000000000000000000
χ2522222222-2-2-2-2-2-22-2-2-22-2002000000002200-2-22220000-2-20000000000000000
χ2622222222-2-2-2-2-2-22-2-2-22-200200000000-2-20022-2-220000220000000000000000
χ2722222222-2-2-2-2-2-2-2222-2222200-2-2-2-20000000000-22200000000000000000000
χ2822222222-2-2-2-2-2-2-2222-22-2-220022220000000000-2-2-200000000000000000000
χ292-2-22-222-222-2-2002-200-222-202i−2i2-200002i−2i0000000002i−2i2i−2i0000000000000000
χ302-2-22-222-222-2-2002-200-222-20−2i2i2-20000−2i2i000000000−2i2i−2i2i0000000000000000
χ312-2-22-222-222-2-2002-200-22-2202i−2i-220000−2i2i0000000002i−2i−2i2i0000000000000000
χ322-2-22-222-222-2-2002-200-22-220−2i2i-2200002i−2i000000000−2i2i2i−2i0000000000000000
χ332-2-22-222-222-2-200-22002-20002i−2i002i−2i0000002-22-202i−2i−2i2i000000000000000000
χ342-2-22-222-222-2-200-22002-20002i−2i00−2i2i000000-22-220−2i2i−2i2i000000000000000000
χ352-2-22-222-222-2-200-22002-2000−2i2i002i−2i000000-22-2202i−2i2i−2i000000000000000000
χ362-2-22-222-222-2-200-22002-2000−2i2i00−2i2i0000002-22-20−2i2i2i−2i000000000000000000
χ372-2-22-222-2-2-222002200-2-200000002i−2i2-22i−2i2-200000−2i2i00−2i2i0000000000000000
χ382-2-22-222-2-2-222002200-2-200000002i−2i-22−2i2i-2200000−2i2i002i−2i0000000000000000
χ392-2-22-222-2-2-222002200-2-20000000−2i2i2-2−2i2i2-2000002i−2i002i−2i0000000000000000
χ402-2-22-222-2-2-222002200-2-20000000−2i2i-222i−2i-22000002i−2i00−2i2i0000000000000000
χ412-2-22-222-2-2-22200-2-200222-2000-22002-200-22-222-200000000000000000000000
χ422-2-22-222-2-2-22200-2-200222-2000-2200-22002-22-2-2200000000000000000000000
χ432-2-22-222-2-2-22200-2-20022-220002-2002-200-222-2-2200000000000000000000000
χ442-2-22-222-2-2-22200-2-20022-220002-200-22002-2-222-200000000000000000000000
χ454444-4-4-4-44-44-400000000000000000000000000000000000000000022−22000000
χ464444-4-4-4-44-44-4000000000000000000000000000000000000000000−2222000000
χ474444-4-4-4-4-44-44000000000000000000000000000000000000000000002i2−2i20000
χ484444-4-4-4-4-44-4400000000000000000000000000000000000000000000−2i22i20000
χ4944-4-444-4-4000000004i−4i00000000000000000000000000002-22i−2i000000000000
χ5044-4-444-4-4000000004i−4i0000000000000000000000000000-22−2i2i000000000000
χ5144-4-444-4-400000000−4i4i00000000000000000000000000002-2−2i2i000000000000
χ5244-4-444-4-400000000−4i4i0000000000000000000000000000-222i−2i000000000000
χ534-44-44-44-400004-40000000000000000000000000000000000002i−2i2i−2i00000000
χ544-44-44-44-400004-4000000000000000000000000000000000000−2i2i−2i2i00000000
χ554-44-44-44-40000-440000000000000000000000000000000000002i−2i−2i2i00000000
χ564-44-44-44-40000-44000000000000000000000000000000000000−2i2i2i−2i00000000
χ574-4-444-4-444-4-44000000000000000000000000000000000000000000000022−2200
χ584-4-444-4-444-4-440000000000000000000000000000000000000000000000−222200
χ594-4-444-4-44-444-40000000000000000000000000000000000000000000000002i2−2i2
χ604-4-444-4-44-444-4000000000000000000000000000000000000000000000000−2i22i2
χ6188-8-8-8-888000000000000000000000000000000000000000000000000000000
χ628-88-8-88-88000000000000000000000000000000000000000000000000000000

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