Finite Group Databasebeta

← Group #27693

Character table — Group #27693

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222444444444444448888888888888816161616
order1244222444888822444444888888248888888888884444
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111
χ511111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-1
χ611111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ711111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ811111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ91111111111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-11-1
χ101111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-11-11
χ111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-11-11
χ121111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111-11-1
χ131111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11
χ141111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1
χ151111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-111-1
χ161111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-11-1-11
χ1722222-2-2-2-2222222-22-200000000-2-200000000002-2000000
χ1822222-2-2-2-222222-22-2200000000-2-20000000000-22000000
χ1922222-2-2-2-22-2-2-2-22-22-200000000220000000000-22000000
χ2022222-2-2-2-22-2-2-2-2-22-22000000002200000000002-2000000
χ2122-2-2222-2-2-200002-2-2200002i2i−2i−2i000000000000002i−2i0000
χ2222-2-2222-2-2-200002-2-220000−2i−2i2i2i00000000000000−2i2i0000
χ2322-2-2222-2-2-20000-222-200002i2i−2i−2i00000000000000−2i2i0000
χ2422-2-2222-2-2-20000-222-20000−2i−2i2i2i000000000000002i−2i0000
χ2522-2-22-2-222-2000022-2-222-2-20000002-20000000000000000
χ2622-2-22-2-222-2000022-2-2-2-222000000-220000000000000000
χ2722-2-22-2-222-20000-2-22222-2-2000000-220000000000000000
χ2822-2-22-2-222-20000-2-222-2-2220000002-20000000000000000
χ2922-2-2-22-22-2222-2-20000000000002-20000002i−2i2i−2i00000000
χ3022-2-2-22-22-2222-2-20000000000002-2000000−2i2i−2i2i00000000
χ3122-2-2-22-22-22-2-222000000000000-220000002i−2i−2i2i00000000
χ3222-2-2-22-22-22-2-222000000000000-22000000−2i2i2i−2i00000000
χ3322-2-2-2-22-22222-2-2000000000000-22002i−2i2i−2i000000000000
χ3422-2-2-2-22-22222-2-2000000000000-2200−2i2i−2i2i000000000000
χ3522-2-2-2-22-222-2-2220000000000002-2002i−2i−2i2i000000000000
χ3622-2-2-2-22-222-2-2220000000000002-200−2i2i2i−2i000000000000
χ374444-44-4-44-4000000000000000000000000000000000000
χ384444-4-444-4-4000000000000000000000000000000000000
χ394-44i−4i0000002i2−2i222−2200002-22i−2i2ζ−2ζ2ζ3−2ζ300000000000000000000
χ404-44i−4i0000002i2−2i222−220000-22−2i2i−2ζ2ζ−2ζ32ζ300000000000000000000
χ414-44i−4i000000−2i22i2−222200002-22i−2i−2ζ2ζ−2ζ32ζ300000000000000000000
χ424-44i−4i000000−2i22i2−22220000-22−2i2i2ζ−2ζ2ζ3−2ζ300000000000000000000
χ434-4−4i4i0000002i2−2i2−222200002-2−2i2i2ζ3−2ζ32ζ−2ζ00000000000000000000
χ444-4−4i4i0000002i2−2i2−22220000-222i−2i−2ζ32ζ3−2ζ2ζ00000000000000000000
χ454-4−4i4i000000−2i22i222−2200002-2−2i2i−2ζ32ζ3−2ζ2ζ00000000000000000000
χ464-4−4i4i000000−2i22i222−220000-222i−2i2ζ3−2ζ32ζ−2ζ00000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.