Finite Group Databasebeta

← Group #348086

Character table — Group #348086

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222244444488888888888888888888888888816161616323232323232
order12224488882444442222444444448888888888888888888448888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-11-111-1-1-1-11-11111-1-11-1-1-1-111-1-11111-1-111-1-1
χ61111111111111111-1-11-111-1-1-1-11-11111-1-11-1-1-1-111-1-1-1-1-1-111-1-111
χ71111111111111111-1-1-11-1-111-1-1-1111-1-1111-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111-1-1-11-1-111-1-1-1111-1-1111-1-1-1-1-1-111-1-1-1-11111-1-1
χ9111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ10111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ11111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1111111-1-11-1-11-11
χ12111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11111-1-111-111-11-1
χ13111111-1-1-1-1111111-1-11-111-1-1-1-11-1-1-1-1-111-11111-1-11111-1-1-111-1-11
χ14111111-1-1-1-1111111-1-11-111-1-1-1-11-1-1-1-1-111-11111-1-111-1-1111-1-111-1
χ15111111-1-1-1-1111111-1-1-11-1-111-1-1-11-1-111-1-1-1111111-1-111-1-1-11-111-1
χ16111111-1-1-1-1111111-1-1-11-1-111-1-1-11-1-111-1-1-1111111-1-1-1-1111-11-1-11
χ1722222222222-2-2-2-222-20000002-200-2-20000222-2-200000000000000
χ1822222222222-2-2-2-22-22000000-2200-2-200002-2-22200000000000000
χ192222222222-22-22-2-2000200-2-200022-200-2-2-2000000220000000000
χ202222222222-22-22-2-2000-20022000-22-20022-2000000-2-20000000000
χ212222222222-2-22-22-20020-2-2000020-22-2-200-2000022000000000000
χ222222222222-2-22-22-200-20220000-20-222200-20000-2-2000000000000
χ23222222-2-2-2-22-2-2-2-222-20000002-200220000-2-2-22200000000000000
χ24222222-2-2-2-22-2-2-2-22-22000000-2200220000-222-2-200000000000000
χ25222222-2-2-2-2-22-22-2-2000200-2-20002-2200222000000-2-20000000000
χ26222222-2-2-2-2-22-22-2-2000-20022000-2-2200-2-22000000220000000000
χ27222222-2-2-2-2-2-22-22-20020-2-20000202-2220020000-2-2000000000000
χ28222222-2-2-2-2-2-22-22-200-20220000-202-2-2-2002000022000000000000
χ292222-2-2000022-2-22-200202-20000-2000002i−2i02i−2i2i−2i002i−2i0000000000
χ302222-2-2000022-2-22-200202-20000-200000−2i2i0−2i2i−2i2i00−2i2i0000000000
χ312222-2-2000022-2-22-200-20-2200002000002i−2i0−2i2i−2i2i002i−2i0000000000
χ322222-2-2000022-2-22-200-20-220000200000−2i2i02i−2i2i−2i00−2i2i0000000000
χ332222-2-200002-222-2-20002002-2000-2002i−2i0002i−2i−2i2i2i−2i000000000000
χ342222-2-200002-222-2-20002002-2000-200−2i2i000−2i2i2i−2i−2i2i000000000000
χ352222-2-200002-222-2-2000-200-220002002i−2i000−2i2i2i−2i2i−2i000000000000
χ362222-2-200002-222-2-2000-200-22000200−2i2i0002i−2i−2i2i−2i2i000000000000
χ372222-2-20000-222-2-2222000000-2-200002i−2i2i−2i00000−2i2i−2i2i0000000000
χ382222-2-20000-222-2-2222000000-2-20000−2i2i−2i2i000002i−2i2i−2i0000000000
χ392222-2-20000-222-2-22-2-20000002200002i−2i−2i2i00000−2i2i2i−2i0000000000
χ402222-2-20000-222-2-22-2-2000000220000−2i2i2i−2i000002i−2i−2i2i0000000000
χ412222-2-20000-2-2-22222-222-22-22-22-2-20000000000000000000000000
χ422222-2-20000-2-2-22222-2-2-22-22-2-22220000000000000000000000000
χ432222-2-20000-2-2-2222-222-2-222-22-2-220000000000000000000000000
χ442222-2-20000-2-2-2222-22-222-2-222-22-20000000000000000000000000
χ454-4-44-4444-4-40000000000000000000000000000000002-22-2000000
χ464-4-44-4444-4-4000000000000000000000000000000000-22-22000000
χ474-4-44-44-4-4440000000000000000000000000000000002-2-22000000
χ484-4-44-44-4-444000000000000000000000000000000000-222-2000000
χ4988-8-80042−4242−420000000000000000000000000000000000000000000
χ5088-8-800−4242−42420000000000000000000000000000000000000000000
χ518-88-80042−42−42420000000000000000000000000000000000000000000
χ528-88-800−424242−420000000000000000000000000000000000000000000
χ538-8-888-800000000000000000000000000000000000000000000000

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