Finite Group Databasebeta

← Group #278485

Character table — Group #278485

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444444488888888888888888816161616161616161616161632323232
order12222244444444488882444444488888888888888888888884488
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1111111-1-111-111-1-1-1-1-111-1-1-1-1
χ3111111111111111111111-1-111-1-11111-1-1-1-111-1111-111111-1-1-1-1-1-1
χ4111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-111-1-1111111111111-1-11-1-11-1-1-1-1-1-111-1-1
χ61111111111111111111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-11-111-1-1-1-111-1-111
χ81111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-11-111111111-1-1
χ9111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-11-111-1-1-1-11-11-1
χ10111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-11-11
χ11111111111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11-1-1-111-1-111-11-11
χ12111111111111111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-11-1-111111-11-1
χ13111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-11
χ14111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-11-11-1111-1-111-111-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111-1-1-111-1-1-111-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111111-1-1-1-11-1-11
χ172222222-22-222-2-2-200002-222-22-2-200000000002000-200000000000
χ182222222-22-222-2-2-200002-2-2-2-22220000000000-2000200000000000
χ192222222-22-222-2-2-20000-22222-2-2-20000000000-2000200000000000
χ202222222-22-222-2-2-20000-22-2-22-22200000000002000-200000000000
χ21222222-22-22-2-2-22-222220000000000-2-20000000000002i−2i2i−2i000000
χ22222222-22-22-2-2-22-222220000000000-2-2000000000000−2i2i−2i2i000000
χ23222222-22-22-2-2-22-2-2-2-2-20000000000220000000000002i−2i−2i2i000000
χ24222222-22-22-2-2-22-2-2-2-2-2000000000022000000000000−2i2i2i−2i000000
χ252222-2-222-222-2-2-2222-2-22-2002-200002-2000000020-2000000000000
χ262222-2-222-222-2-2-2222-2-2-2200-2200002-20000000-202000000000000
χ272222-2-222-222-2-2-22-2-2222-2002-20000-220000000-202000000000000
χ282222-2-222-222-2-2-22-2-222-2200-220000-22000000020-2000000000000
χ292222-2-22-2-2-22-222-200002200-2-20000002i2i−2i−2i0000000000002i−2i0000
χ302222-2-22-2-2-22-222-200002200-2-2000000−2i−2i2i2i000000000000−2i2i0000
χ312222-2-22-2-2-22-222-20000-2-200220000002i2i−2i−2i000000000000−2i2i0000
χ322222-2-22-2-2-22-222-20000-2-20022000000−2i−2i2i2i0000000000002i−2i0000
χ332222-2-2-2222-222-2-222-2-20000000022-2200002200-200-20000000000
χ342222-2-2-2222-222-2-222-2-200000000-2-2-220000-2-20020020000000000
χ352222-2-2-2222-222-2-2-2-22200000000222-20000-2-200-20020000000000
χ362222-2-2-2222-222-2-2-2-22200000000-2-22-200002200200-20000000000
χ37444444-4-4-4-4-4-44-4400000000000000000000000000000000000000
χ384444-4-4-4-44-4-44-44400000000000000000000000000000000000000
χ394-44-4000-404000004i−4i00000000002i2−2i200000022−220000000000000000
χ404-44-4000-404000004i−4i0000000000−2i22i2000000−22220000000000000000
χ414-44-4000-40400000−4i4i00000000002i2−2i2000000−22220000000000000000
χ424-44-4000-40400000−4i4i0000000000−2i22i200000022−220000000000000000
χ434-4-444-44040-4-4000000000000000000022−2222−22000000000000000000
χ444-4-444-44040-4-40000000000000000000−2222−2222000000000000000000
χ454-4-444-4-40-404400000000000004-400000000000000000000000000
χ464-4-444-4-40-40440000000000000-4400000000000000000000000000
χ474-4-44-4440-40-4400000000000000000002i2−2i2−2i22i2000000000000000000
χ484-4-44-4440-40-440000000000000000000−2i22i22i2−2i2000000000000000000
χ494-4-44-44-40404-40000000004i−4i000000000000000000000000000000
χ504-4-44-44-40404-4000000000−4i4i000000000000000000000000000000
χ5188-8-8000000000000042−420000000000000000000000000000000000
χ5288-8-80000000000000−42420000000000000000000000000000000000
χ538-88-800080-80000000000000000000000000000000000000000000

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