Finite Group Databasebeta

← Group #18721

Character table — Group #18721

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122222244448888888888888888888888881616
order1222224444444422444444444488888888888844
χ11111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111-111-1-11-1-1-1-1-11111-1-1-1-11111-1-1
χ4111111111111111-111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111-11-1-111-11-1-1-1-11111-1-1-1-1-1-1-1-111
χ611111111111111-11-1-111-11-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ811111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ91111-1-11111-1-1-11111-11-1-1-111-1-111-1-111-1-111-1-11-1
χ101111-1-11111-1-1-11111-11-1-1-111-1-1-1-111-1-111-1-111-11
χ111111-1-11111-1-1-111-11-1-11-11-1-11111-1-1-1-11111-1-1-11
χ121111-1-11111-1-1-111-11-1-11-11-1-111-1-11111-1-1-1-1111-1
χ131111-1-11111-1-1-11-11-111-11-1-1-11111-1-1-1-111-1-1111-1
χ141111-1-11111-1-1-11-11-111-11-1-1-111-1-11111-1-111-1-1-11
χ151111-1-11111-1-1-11-1-1-11-111111-1-111-1-111-1-1-1-111-11
χ161111-1-11111-1-1-11-1-1-11-111111-1-1-1-111-1-11111-1-11-1
χ172222222-22-22-2-2-20200-2-202000000000000000000
χ182222222-22-22-2-2-20-200220-2000000000000000000
χ19222222-22-22-22-2-220-2-20020000000000000000000
χ20222222-22-22-22-2-2-202200-20000000000000000000
χ21222222-2-2-2-2-2-222000000002-22-200000000000000
χ22222222-2-2-2-2-2-22200000000-22-2200000000000000
χ232222-2-22-22-2-222-20200-220-2000000000000000000
χ242222-2-22-22-2-222-20-2002-202000000000000000000
χ252222-2-2-22-222-22-220-2200-20000000000000000000
χ262222-2-2-22-222-22-2-202-20020000000000000000000
χ272222-2-2-2-2-2-222-22000000002-2-2200000000000000
χ282222-2-2-2-2-2-222-2200000000-222-200000000000000
χ2944-4-400040-400000000000000000022−220000000000
χ3044-4-400040-4000000000000000000−22220000000000
χ3144-4-4000-40400000000000000002i2−2i2000000000000
χ3244-4-4000-4040000000000000000−2i22i2000000000000
χ334-44-40040-400000000000000000000022−2200000000
χ344-44-40040-4000000000000000000000−222200000000
χ354-44-400-404000000000000000000000002i2−2i2000000
χ364-44-400-40400000000000000000000000−2i22i2000000
χ374-4-444-400000000000000000000000000002i−2i2i−2i00
χ384-4-444-40000000000000000000000000000−2i2i−2i2i00
χ394-4-44-4400000000000000000000000000002i−2i−2i2i00
χ404-4-44-440000000000000000000000000000−2i2i2i−2i00

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