Finite Group Databasebeta

← Group #241113

Character table — Group #241113

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444444488888888161616161616161616161616161616161616161616161616
order12222244444444224444444488888888224444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-11-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-11111111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ9111111-1-1-1-1-1-111111-1-1-1-1-1111111-1-1-1-1111-1-11-1-111-1-11-11-111-1-111-1-1
χ10111111-1-1-1-1-1-111111-1-1-1-1-1111111-1-1-1-11-11-1-1-11111-1-1-11-11-1-111-1-111
χ11111111-1-1-1-1-1-111111-1-1-1-1-1111111-1-1-1-1-11-1111-1-1-1-111-11-11-1-11111-1-1
χ12111111-1-1-1-1-1-111111-1-1-1-1-1111111-1-1-1-1-1-1-111-111-1-1111-11-111-1-1-1-111
χ13111111-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-11111111-1-11-1-1-1-1111-11-1-1-111-1-111
χ14111111-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-111111-11-1-1-111-1-111-11-1111-1-111-1-1
χ15111111-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-11111-11-1111-1-111-1-1-11-1111-1-1-1-111
χ16111111-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-11111-1-1-111-11111-1-11-11-1-1-11111-1-1
χ17222222222222-2-2-2-2-22-2-2-2-22222-2-222-2-2000000000000000000000000
χ18222222222222-2-2-2-2-22-2-2-2-222-2-222-2-222000000000000000000000000
χ192222222222-2-222-2-22-222-2-2-2-20000000002000-22-20000000000000000
χ202222222222-2-222-2-22-222-2-2-2-2000000000-20002-220000000000000000
χ212222222222-2-2-2-222-2-2-2-222-2-200000000000000000000000000002i−2i2i−2i
χ222222222222-2-2-2-222-2-2-2-222-2-20000000000000000000000000000−2i2i−2i2i
χ23222222-2-2-2-22222-2-222-2-222-2-20000000002000-2-220000000000000000
χ24222222-2-2-2-22222-2-222-2-222-2-2000000000-200022-20000000000000000
χ25222222-2-2-2-222-2-222-2222-2-2-2-200000000000000000000000000002i−2i−2i2i
χ26222222-2-2-2-222-2-222-2222-2-2-2-20000000000000000000000000000−2i2i2i−2i
χ27222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222000000000000000000000000
χ28222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-22222-2-2000000000000000000000000
χ292222-2-222-2-222222-2-2-22-22-22-20000000000000000000022-2-200000000
χ302222-2-222-2-222222-2-2-22-22-22-200000000000000000000-2-22200000000
χ312222-2-222-2-222-2-2-222-2-22-222-20000000000000000000000002i−2i2i−2i0000
χ322222-2-222-2-222-2-2-222-2-22-222-2000000000000000000000000−2i2i−2i2i0000
χ332222-2-222-2-2-2-222-22-222-2-22-220000000020-22-20000000000000000000
χ342222-2-222-2-2-2-222-22-222-2-22-2200000000-202-220000000000000000000
χ352222-2-222-2-2-2-2-2-22-222-222-2-2200000000000000002i−2i2i−2i000000000000
χ362222-2-222-2-2-2-2-2-22-222-222-2-220000000000000000−2i2i−2i2i000000000000
χ372222-2-2-2-2222222-22-2-2-222-2-220000000020-2-220000000000000000000
χ382222-2-2-2-2222222-22-2-2-222-2-2200000000-2022-20000000000000000000
χ392222-2-2-2-22222-2-22-22-22-2-22-2200000000000000002i−2i−2i2i000000000000
χ402222-2-2-2-22222-2-22-22-22-2-22-220000000000000000−2i2i2i−2i000000000000
χ412222-2-2-2-222-2-2222-2-22-22-222-2000000000000000000002-2-2200000000
χ422222-2-2-2-222-2-2222-2-22-22-222-200000000000000000000-222-200000000
χ432222-2-2-2-222-2-2-2-2-22222-22-22-20000000000000000000000002i−2i−2i2i0000
χ442222-2-2-2-222-2-2-2-2-22222-22-22-2000000000000000000000000−2i2i2i−2i0000
χ4544-4-44-44i−4i4i−4i00000000000000002i2−2i20022−22000000000000000000000000
χ4644-4-44-44i−4i4i−4i0000000000000000−2i22i200−2222000000000000000000000000
χ4744-4-44-4−4i4i−4i4i00000000000000002i2−2i200−2222000000000000000000000000
χ4844-4-44-4−4i4i−4i4i0000000000000000−2i22i20022−22000000000000000000000000
χ4944-4-4-444i−4i−4i4i0000000000000022−22002i2−2i200000000000000000000000000
χ5044-4-4-444i−4i−4i4i00000000000000−222200−2i22i200000000000000000000000000
χ5144-4-4-44−4i4i4i−4i0000000000000022−2200−2i22i200000000000000000000000000
χ5244-4-4-44−4i4i4i−4i00000000000000−2222002i2−2i200000000000000000000000000
χ538-88-80000008i−8i00000000000000000000000000000000000000000000
χ548-88-8000000−8i8i00000000000000000000000000000000000000000000
χ558-8-88000000008-8000000000000000000000000000000000000000000
χ568-8-8800000000-88000000000000000000000000000000000000000000

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