Finite Group Databasebeta

← Group #347180

Character table — Group #347180

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111224444444488888888888888888888888888888881616323232323232
order12222244444444222224444444444444444444444888888448888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1
χ411111111111111111-1-1111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111-1-1111-1-111-1-11-1-111-1-1-1-1-1-111-1-1111111-1-1-1-111
χ6111111111111111-1-1111-1-111-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ7111111111111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-11111111111-1-1-1-1
χ8111111111111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111
χ9111111-1-1111111-11-11-1-11-11-111-11-11-1-1-1-1-11-11-1111111-1-1-111-11-1
χ10111111-1-1111111-11-11-1-11-11-111-11-11-1-1-1-1-11-11-111-1-1-1-1111-1-11-11
χ11111111-1-1111111-11-1-11-11-1-11-1-1-11-1-1111111-1-11-1-11111-1-11-11-1-11
χ12111111-1-1111111-11-1-11-11-1-11-1-1-11-1-1111111-1-11-1-1-1-1-1-111-11-111-1
χ13111111-1-1111111-1-111-1-1-111-1-1-1-1-111-11111-111-1-1-11111-1-11-1-111-1
χ14111111-1-1111111-1-111-1-1-111-1-1-1-1-111-11111-111-1-1-1-1-1-1-111-111-1-11
χ15111111-1-1111111-1-11-11-1-11-1111-1-11-11-1-1-1-1-11-11111111-1-1-11-11-11
χ16111111-1-1111111-1-11-11-1-11-1111-1-11-11-1-1-1-1-11-1111-1-1-1-1111-11-11-1
χ172222222222-2-2-2-22002-2-200-2200-2002-2000000-2200000000000000
χ182222222222-2-2-2-2200-22-2002-200-200-220000002-200000000000000
χ1922222222-2-222-2-2-200002000022-2000022-2-20000-2-2000000000000
χ2022222222-2-222-2-2-2000020000-2-2-20000-2-222000022000000000000
χ2122222222-2-2-2-222-22-200-2-22000022-2000000-220000000000000000
χ2222222222-2-2-2-222-2-2200-22-200002-220000002-20000000000000000
χ23222222-2-222-2-2-2-2-20022200-2-20020022000000-2-200000000000000
χ24222222-2-222-2-2-2-2-200-2-22002200200-2-20000002200000000000000
χ25222222-2-2-2-222-2-220000-200002220000-2-2220000-2-2000000000000
χ26222222-2-2-2-222-2-220000-20000-2-22000022-2-2000022000000000000
χ27222222-2-2-2-2-2-222222002-2-20000-222000000-2-20000000000000000
χ28222222-2-2-2-2-2-2222-2-2002220000-2-2-2000000220000000000000000
χ292222-2-2002-22-22-20020200-2022-200-20-20000020-22-2000000000000
χ302222-2-2002-22-22-20020-200-20-2-2200-20200000202-22000000000000
χ312222-2-2002-22-22-200-20200202-220020-200000-20-2-22000000000000
χ322222-2-2002-22-22-200-20-20020-22-20020200000-2022-2000000000000
χ332222-2-2002-2-22-22020020200-2000-200-22-22-2-200200000000000000
χ342222-2-2002-2-22-220200-202002000-2002-22-22-200-200000000000000
χ352222-2-2002-2-22-220-20020-200-2000200-2-22-22200200000000000000
χ362222-2-2002-2-22-220-200-20-200200020022-22-2200-200000000000000
χ372222-2-200-222-2-22020200-2020-220-20-20000020-202-2000000000000
χ382222-2-200-222-2-22020-200-20-202-20-202000002020-22000000000000
χ392222-2-200-222-2-220-2020020202-2020-200000-20-20-22000000000000
χ402222-2-200-222-2-220-20-20020-20-22020200000-20202-2000000000000
χ412222-2-200-22-222-200220002-200000-2-20-222-20-22000000000000000
χ422222-2-200-22-222-2002-20002200000-2202-2-220-2-2000000000000000
χ432222-2-200-22-222-200-22000-2-2000002-202-2-22022000000000000000
χ442222-2-200-22-222-200-2-2000-2200000220-222-202-2000000000000000
χ454-44-4-444i−4i0000000000000000000000000000000002i2i−2i−2i2-2000000
χ464-44-4-444i−4i000000000000000000000000000000000−2i−2i2i2i-22000000
χ474-44-4-44−4i4i0000000000000000000000000000000002i2i−2i−2i-22000000
χ484-44-4-44−4i4i000000000000000000000000000000000−2i−2i2i2i2-2000000
χ4988-8-8000000000000000000000000000000000000022−2222−2200000000
χ5088-8-80000000000000000000000000000000000000−2222−222200000000
χ518-88-88-800000000000000000000000000000000000000000000000
χ528-8-8800000000000000000000000000000000000002i2−2i2−2i22i200000000
χ538-8-880000000000000000000000000000000000000−2i22i22i2−2i200000000

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