Finite Group Databasebeta

← Group #236371

Character table — Group #236371

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444444488888888161616161616161616161616161616161616161616161616
order12222244444444224444444444444444222244444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-11-1-111-1-1-11-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-111-11-1-11111-11-1-1-1-1-1-1-1-11111
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11-1-1-1-1-111111111
χ9111111-1-1-1-1-1-111-1-111-1-1-11111111-1-1-1-111111-1-1-1-1-1-1111-1-111-1-111-1-1
χ10111111-1-1-1-1-1-111-1-111-1-1-11111111-1-1-1-1111-11-111-1-1-1-1-1-111-1-111-1-111
χ11111111-1-1-1-1-1-111-1-111-1-1-11111111-1-1-1-1-1-1-11-11-1-11111-1-11111-1-1-1-111
χ12111111-1-1-1-1-1-111-1-111-1-1-11111111-1-1-1-1-1-1-1-1-1111111-111-1-1-1-11111-1-1
χ13111111-1-1-1-1-1-111-1-111-1-1-1111-1-1-1-1111111-11-11-1-1-1-111-1-111-1-11111-1-1
χ14111111-1-1-1-1-1-111-1-111-1-1-1111-1-1-1-1111111-1-1-1111-1-11-111-1-111-1-1-1-111
χ15111111-1-1-1-1-1-111-1-111-1-1-1111-1-1-1-11111-1-1111-1-1-111-1111-1-1-1-111-1-111
χ16111111-1-1-1-1-1-111-1-111-1-1-1111-1-1-1-11111-1-11-11-11111-1-1-1-11111-1-111-1-1
χ1722222222222222-2-22-22-2-2-2-2-2000000000020-2-2000020000000000000
χ1822222222222222-2-22-22-2-2-2-2-20000000000-20220000-20000000000000
χ1922222222-2-2-2-2-2-222-222-2-2-22-222-2-222-2-2000000000000000000000000
χ2022222222-2-2-2-2-2-222-222-2-2-22-2-2-222-2-222000000000000000000000000
χ2122222222-2-2-2-2-2-2-2-2-2-22222-22000000002-20000002-200000000000000
χ2222222222-2-2-2-2-2-2-2-2-2-22222-2200000000-22000000-2200000000000000
χ23222222-2-22222-2-222-2-2-2-2-22-22000000002-2000000-2200000000000000
χ24222222-2-22222-2-222-2-2-2-2-22-2200000000-220000002-200000000000000
χ25222222-2-22222-2-2-2-2-22-222-22-222-2-2-2-222000000000000000000000000
χ26222222-2-22222-2-2-2-2-22-222-22-2-2-22222-2-2000000000000000000000000
χ27222222-2-2-2-2-2-222222-2-222-2-2-2000000000020-220000-20000000000000
χ28222222-2-2-2-2-2-222222-2-222-2-2-20000000000-202-2000020000000000000
χ292222-2-22222-2-2222-2-22-22-2-2-22000000000002002-2000-2000000000000
χ302222-2-22222-2-2222-2-22-22-2-2-2200000000000-200-220002000000000000
χ312222-2-22222-2-222-22-2-2-2-2222-2000000000000000000002-22-200000000
χ322222-2-22222-2-222-22-2-2-2-2222-200000000000000000000-22-2200000000
χ332222-2-222-2-222-2-22-222-2-222-2-20000000000000000000000002i−2i2i−2i0000
χ342222-2-222-2-222-2-22-222-2-222-2-2000000000000000000000000−2i2i−2i2i0000
χ352222-2-222-2-222-2-2-222-2-22-2-22200000000000000000000000000002-22-2
χ362222-2-222-2-222-2-2-222-2-22-2-2220000000000000000000000000000-22-22
χ372222-2-2-2-222-2-2-2-22-22-22-22-22200000000000000000000000000002-2-22
χ382222-2-2-2-222-2-2-2-22-22-22-22-2220000000000000000000000000000-222-2
χ392222-2-2-2-222-2-2-2-2-222222-22-2-20000000000000000000000002i−2i−2i2i0000
χ402222-2-2-2-222-2-2-2-2-222222-22-2-2000000000000000000000000−2i2i2i−2i0000
χ412222-2-2-2-2-2-222222-2-2-222-222-2000000000000000000002-2-2200000000
χ422222-2-2-2-2-2-222222-2-2-222-222-200000000000000000000-222-200000000
χ432222-2-2-2-2-2-22222-22-222-22-2-2200000000000200-22000-2000000000000
χ442222-2-2-2-2-2-22222-22-222-22-2-2200000000000-2002-20002000000000000
χ4544-4-4004i−4i4i−4i004-400000000002-22-22i−2i2i−2i000000000000000000000000
χ4644-4-4004i−4i4i−4i004-40000000000-22-22−2i2i−2i2i000000000000000000000000
χ4744-4-4004i−4i−4i4i00-4400000000002-2-222i−2i−2i2i000000000000000000000000
χ4844-4-4004i−4i−4i4i00-440000000000-222-2−2i2i2i−2i000000000000000000000000
χ4944-4-400−4i4i4i−4i00-4400000000002-2-22−2i2i2i−2i000000000000000000000000
χ5044-4-400−4i4i4i−4i00-440000000000-222-22i−2i−2i2i000000000000000000000000
χ5144-4-400−4i4i−4i4i004-400000000002-22-2−2i2i−2i2i000000000000000000000000
χ5244-4-400−4i4i−4i4i004-40000000000-22-222i−2i2i−2i000000000000000000000000
χ538-88-80000008i−8i00000000000000000000000000000000000000000000
χ548-88-8000000−8i8i00000000000000000000000000000000000000000000
χ558-8-888-800000000000000000000000000000000000000000000000000
χ568-8-88-8800000000000000000000000000000000000000000000000000

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