Finite Group Databasebeta

← Group #348589

Character table — Group #348589

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111122222222224444444444444444444444448888888888888888816161616323232323232
order12224444448888222444444444888888888888244444448888888888888448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1111-1-1111111111-1-1-1-1-11-1-1-11-1-11-1-111-1-1-1-11111-1-111-1-1
χ4111111111111111111-1-1111-1-1111111111-1-1-1-1-11-1-1-11-1-11-1-111-1-1-1-1-1-1-1-111-1-111
χ5111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-11-1-1-1111-1-1-1-1-1-11111-1-1-1-111
χ6111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-11-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1
χ7111111111111111-1-11-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1-1-11111111111-1-1-1-1
χ8111111111111111-1-11-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1-1-11111
χ91111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ101111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ111111111111-1-1-1-11111-1-1111-1-11-1-1-1-1-1-1-1-11111-11-1-1-11-1-1-111-1-1111111-1-1-111-1-11
χ121111111111-1-1-1-11111-1-1111-1-11-1-1-1-1-1-1-1-11111-11-1-1-11-1-1-111-1-11111-1-1111-1-111-1
χ131111111111-1-1-1-11-1-1111-1-111111111-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-111111111-1-1-11-111-1
χ141111111111-1-1-1-11-1-1111-1-111111111-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1111111-1-1111-11-1-11
χ151111111111-1-1-1-11-1-11-1-1-1-11-1-111111-1-1-1-11111-1-111-1-111-11111-1-1-1-111-1-11-1-11-11
χ161111111111-1-1-1-11-1-11-1-1-1-11-1-111111-1-1-1-11111-1-111-1-111-11111-1-1-1-1-1-111-111-11-1
χ172222222-22-20000-222-222-2-2-2-2-220000000000002-222-22-2-20000000000000000000
χ182222222-22-20000-222-2-2-2-2-2-2222000000000000-2-2-2-222220000000000000000000
χ192222222-22-20000-2-2-2-22222-2-2-2200000000000022-2-2-2-2220000000000000000000
χ202222222-22-20000-2-2-2-2-2-222-2222000000000000-22222-2-2-20000000000000000000
χ2122222-2-22222222-222-20022200-2222222-2-200000-2000-200-200-2-200000000000000
χ2222222-2-22222222-2-2-2-200-2-2200-2-2-2-2-222-2-2000002000200-2002200000000000000
χ2322222-2-2222-2-2-2-2-222-20022200-2-2-2-2-2-2-22200000-2000-2002002200000000000000
χ2422222-2-2222-2-2-2-2-2-2-2-200-2-2200-22222-2-222000002000200200-2-200000000000000
χ2522222-2-2-22-20000222200-2-2-200-2000000002i2i−2i−2i02000-20002i−2i002i2i−2i−2i0000000000
χ2622222-2-2-22-20000222200-2-2-200-200000000−2i−2i2i2i02000-2000−2i2i00−2i−2i2i2i0000000000
χ2722222-2-2-22-200002-2-220022-200-2000000002i2i−2i−2i0-200020002i−2i00−2i−2i2i2i0000000000
χ2822222-2-2-22-200002-2-220022-200-200000000−2i−2i2i2i0-20002000−2i2i002i2i−2i−2i0000000000
χ292222-2222-222222-20022200-222-20000-2-2222222-2000-2000-2-2-20000000000000000
χ302222-2222-222222-2002-2-200-2-2-2-20000-2-222-2-2-2-220002000-2220000000000000000
χ312222-2222-22-2-2-2-2-20022200-222-2000022-2-2-2-2-2-2-2000-20002220000000000000000
χ322222-2222-22-2-2-2-2-2002-2-200-2-2-2-2000022-2-22222200020002-2-20000000000000000
χ332222-222-2-2-20000200-222002-2-2-22i2i−2i−2i00000000-200020000002i−2i2i−2i2i−2i0000000000
χ342222-222-2-2-20000200-222002-2-2-2−2i−2i2i2i00000000-20002000000−2i2i−2i2i−2i2i0000000000
χ352222-222-2-2-20000200-2-2-200222-22i2i−2i−2i000000002000-20000002i−2i−2i2i−2i2i0000000000
χ362222-222-2-2-20000200-2-2-200222-2−2i−2i2i2i000000002000-2000000−2i2i2i−2i2i−2i0000000000
χ372222-2-2-22-222222200-20000-20020000-2-2-2-20000002-2002-2200002-2-220000000000
χ382222-2-2-22-222222200-20000-20020000-2-2-2-2000000-2200-2220000-222-20000000000
χ392222-2-2-22-22-2-2-2-2200-20000-2002000022220000002-2002-2-20000-222-20000000000
χ402222-2-2-22-22-2-2-2-2200-20000-200200002222000000-2200-22-200002-2-220000000000
χ412222-2-2-2-2-2-20000-2002000020022i2i−2i−2i00002i2i−2i−2i002-200-220−2i2i−2i2i00000000000000
χ422222-2-2-2-2-2-20000-2002000020022i2i−2i−2i0000−2i−2i2i2i00-22002-202i−2i−2i2i00000000000000
χ432222-2-2-2-2-2-20000-200200002002−2i−2i2i2i00002i2i−2i−2i00-22002-20−2i2i2i−2i00000000000000
χ442222-2-2-2-2-2-20000-200200002002−2i−2i2i2i0000−2i−2i2i2i002-200-2202i−2i2i−2i00000000000000
χ4544-4-44000-402222−22−2204-400000000022−2222−2222−22000000000000000000000000000000000
χ4644-4-44000-402222−22−220-44000000000−2222−222222−22000000000000000000000000000000000
χ4744-4-44000-40−22−22222204-4000000000−2222−2222−2222000000000000000000000000000000000
χ4844-4-44000-40−22−2222220-4400000000022−2222−22−2222000000000000000000000000000000000
χ4944-4-4-4000402222−22−220000004i−4i00002i2−2i2−2i22i2−2222000000000000000000000000000000000
χ5044-4-4-4000402222−22−22000000−4i4i0000−2i22i22i2−2i2−2222000000000000000000000000000000000
χ5144-4-4-400040−22−2222220000004i−4i0000−2i22i22i2−2i222−22000000000000000000000000000000000
χ5244-4-4-400040−22−222222000000−4i4i00002i2−2i2−2i22i222−22000000000000000000000000000000000
χ534-44-4000-4044i−4i4i−4i000000000000000000000000000000000000000002i−2i2-2000000
χ544-44-4000-4044i−4i4i−4i00000000000000000000000000000000000000000−2i2i-22000000
χ554-44-4000-404−4i4i−4i4i000000000000000000000000000000000000000002i−2i-22000000
χ564-44-4000-404−4i4i−4i4i00000000000000000000000000000000000000000−2i2i2-2000000
χ574-4-4404-40002i2−2i2−2i22i20000000004-400000002i2−2i22i2−2i22i2−2i2000000000000000000000000000
χ584-4-4404-40002i2−2i2−2i22i2000000000-4400000002i2−2i2−2i22i2−2i22i2000000000000000000000000000
χ594-4-4404-4000−2i22i22i2−2i20000000004-40000000−2i22i2−2i22i2−2i22i2000000000000000000000000000
χ604-4-4404-4000−2i22i22i2−2i2000000000-440000000−2i22i22i2−2i22i2−2i2000000000000000000000000000
χ614-4-440-440002i2−2i2−2i22i200004i−4i000000000000−2i22i222−22−2222000000000000000000000000000
χ624-4-440-440002i2−2i2−2i22i20000−4i4i000000000000−2i22i2−222222−22000000000000000000000000000
χ634-4-440-44000−2i22i22i2−2i200004i−4i0000000000002i2−2i2−222222−22000000000000000000000000000
χ644-4-440-44000−2i22i22i2−2i20000−4i4i0000000000002i2−2i222−22−2222000000000000000000000000000
χ658-88-800080-80000000000000000000000000000000000000000000000000000000

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