Finite Group Databasebeta

← Group #348641

Character table — Group #348641

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222244444444444444444488888888888888888888816161616323232323232
order12224444442444444488888888882244444444888888888888888448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11-1-1-1-1-1-1111-1-1-1-1-1-11111-1-111-1-1
χ411111111111111111111111111111-1-1-1-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111-1-1-111111111-1-1-111-1-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111-1-1-1111111-1-1111-1-111-1
χ9111111111111-1-11-1-111111-1-1-1-111-111-1-1-111-1-1111-1-111-1-1-1-11111-1-1-1-111
χ10111111111111-1-11-1-111111-1-1-1-111-111-1-1-111-1-1111-1-111-1-1-1-1-1-1-1-11111-1-1
χ11111111111111-1-11-1-111111-1-1-1-111-1-1-111-1-1-111-1-11-1-1-1-11111111111-1-1-1-1
χ12111111111111-1-11-1-111111-1-1-1-111-1-1-111-1-1-111-1-11-1-1-1-11111-1-1-1-1-1-11111
χ13111111111111-1-11-1-11-1-1-1-11111-1-1-111-1-1-111-1-1-1-1-111-1-1111111-1-1-11-111-1
χ14111111111111-1-11-1-11-1-1-1-11111-1-1-111-1-1-111-1-1-1-1-111-1-11111-1-1111-11-1-11
χ15111111111111-1-11-1-11-1-1-1-11111-1-1-1-1-111-1-1-11111-11111-1-1-1-111-1-11-1-11-11
χ16111111111111-1-11-1-11-1-1-1-11111-1-1-1-1-111-1-1-11111-11111-1-1-1-1-1-111-111-11-1
χ17222222-222-2-2-222-2-2-220000000000-222222-2-2-2-2000000000000000000000
χ18222222-222-2-2-222-2-2-220000000000-2-2-2-2-222222000000000000000000000
χ19222222-222-2-2-2-2-2-22220000000000222-2-2-2-2-222000000000000000000000
χ20222222-222-2-2-2-2-2-222200000000002-2-222-222-2-2000000000000000000000
χ2122222-222-22-2-222222-222-2-2222222-20000-2000000-2-2-20000000000000000
χ2222222-222-22-2-222222-2-2-222-2-2-2-2-2-2-20000-20000002220000000000000000
χ2322222-222-22-2-2-2-22-2-2-222-2-2-2-2-2-222200002000000-2220000000000000000
χ2422222-222-22-2-2-2-22-2-2-2-2-2222222-2-22000020000002-2-20000000000000000
χ2522222-2-22-2-22222-2-2-2-2000000000020000-200002i−2i0002i−2i2i2i−2i−2i0000000000
χ2622222-2-22-2-22222-2-2-2-2000000000020000-20000−2i2i000−2i2i−2i−2i2i2i0000000000
χ2722222-2-22-2-222-2-2-222-20000000000-20000200002i−2i0002i−2i−2i−2i2i2i0000000000
χ2822222-2-22-2-222-2-2-222-20000000000-2000020000−2i2i000−2i2i2i2i−2i−2i0000000000
χ292222-222-222-2200-200-222-2-20000-2-202-20002-200-2-22002200000000000000
χ302222-222-222-2200-200-222-2-20000-2-20-22000-220022200-2-200000000000000
χ312222-222-222-2200-200-2-2-22200002202-20002-20022-200-2-200000000000000
χ322222-222-222-2200-200-2-2-2220000220-22000-2200-2-2-2002200000000000000
χ332222-22-2-22-22-200200-200002i2i−2i−2i0002-2000-22000002i−2i002i−2i2i−2i0000000000
χ342222-22-2-22-22-200200-200002i2i−2i−2i000-220002-2000002i−2i00−2i2i−2i2i0000000000
χ352222-22-2-22-22-200200-20000−2i−2i2i2i0002-2000-2200000−2i2i00−2i2i−2i2i0000000000
χ362222-22-2-22-22-200200-20000−2i−2i2i2i000-220002-200000−2i2i002i−2i2i−2i0000000000
χ372222-2-22-2-222-200-200222220000-2-20002-20002-200-200002-2-220000000000
χ382222-2-22-2-222-200-200222220000-2-2000-22000-2200-20000-222-20000000000
χ392222-2-22-2-222-200-2002-2-2-2-20000220002-20002-20020000-222-20000000000
χ402222-2-22-2-222-200-2002-2-2-2-2000022000-22000-2200200002-2-220000000000
χ412222-2-2-2-2-2-2-2200200200002i2i−2i−2i000002-2000-22−2i2i0−2i2i2i−2i00000000000000
χ422222-2-2-2-2-2-2-2200200200002i2i−2i−2i00000-220002-22i−2i0−2i2i−2i2i00000000000000
χ432222-2-2-2-2-2-2-220020020000−2i−2i2i2i000002-2000-222i−2i02i−2i−2i2i00000000000000
χ442222-2-2-2-2-2-2-220020020000−2i−2i2i2i00000-220002-2−2i2i02i−2i2i−2i00000000000000
χ4544-4-4400-400004-4000022−220022−2222−2222−220000000000000000000000000000000
χ4644-4-4400-400004-40000−222200−2222−2222−22220000000000000000000000000000000
χ4744-4-4400-40000-44000022−2200−2222−222222−220000000000000000000000000000000
χ4844-4-4400-40000-440000−22220022−2222−22−22220000000000000000000000000000000
χ4944-4-4-400400000004i−4i022−22002i2−2i2−2i22i2−22220000000000000000000000000000000
χ5044-4-4-400400000004i−4i0−222200−2i22i22i2−2i222−220000000000000000000000000000000
χ5144-4-4-40040000000−4i4i022−2200−2i22i22i2−2i2−22220000000000000000000000000000000
χ5244-4-4-40040000000−4i4i0−2222002i2−2i2−2i22i222−220000000000000000000000000000000
χ534-44-400-400400000000004i−4i0000000000000000000000000002i−2i2-2000000
χ544-44-400-400400000000004i−4i000000000000000000000000000−2i2i-22000000
χ554-44-400-40040000000000−4i4i0000000000000000000000000002i−2i-22000000
χ564-44-400-40040000000000−4i4i000000000000000000000000000−2i2i2-2000000
χ578-88-800800-80000000000000000000000000000000000000000000000000
χ588-8-880800-800000000000000000000000000000000000000000000000000
χ598-8-880-800800000000000000000000000000000000000000000000000000

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