Finite Group Databasebeta

← Group #9816

Character table — Group #9816

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122222222224444444444888888881616161616161616
order1222222244444424888888884444888824448888
χ11111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ9111111-1-11-1-11-1-1-111111-1-1-1-1ii−i−iii−i−i1-11-1i−ii−i
χ10111111-1-11-1-11-1-1-111111-1-1-1-1ii−i−iii−i−i-11-11−ii−ii
χ11111111-1-11-1-11-1-1-111111-1-1-1-1−i−iii−i−iii1-11-1−ii−ii
χ12111111-1-11-1-11-1-1-111111-1-1-1-1−i−iii−i−iii-11-11i−ii−i
χ13111111-1-11-1-11-1-1-11-1-1-1-11111ii−i−i−i−iii1-1-11i−i−ii
χ14111111-1-11-1-11-1-1-11-1-1-1-11111ii−i−i−i−iii-111-1−iii−i
χ15111111-1-11-1-11-1-1-11-1-1-1-11111−i−iiiii−i−i1-1-11−iii−i
χ16111111-1-11-1-11-1-1-11-1-1-1-11111−i−iiiii−i−i-111-1i−i−ii
χ1722222222-2-2-2-2-2-22-20000000000002i−2i2i−2i00000000
χ1822222222-2-2-2-2-2-22-2000000000000−2i2i−2i2i00000000
χ19222222-2-2-222-222-2-20000000000002-2-2200000000
χ20222222-2-2-222-222-2-2000000000000-222-200000000
χ212222-2-2222222-2-2-2-222-2-222-2-20000000000000000
χ222222-2-2222222-2-2-2-2-2-222-2-2220000000000000000
χ232222-2-222-2-2-2-222-22000000002-22-2000000000000
χ242222-2-222-2-2-2-222-2200000000-22-22000000000000
χ252222-2-2-2-22-2-22222-222-2-2-2-2220000000000000000
χ262222-2-2-2-22-2-22222-2-2-22222-2-20000000000000000
χ272222-2-2-2-2-222-2-2-222000000002i−2i−2i2i000000000000
χ282222-2-2-2-2-222-2-2-22200000000−2i2i2i−2i000000000000
χ2944-4-4004-400000000002i2−2i2002i2−2i20000000000000000
χ3044-4-4004-40000000000−2i22i200−2i22i20000000000000000
χ3144-4-400-4400000000002i2−2i200−2i22i20000000000000000
χ3244-4-400-440000000000−2i22i2002i2−2i20000000000000000
χ334-44-44-40004i−4i04i−4i00000000000000000000000000
χ344-44-44-4000−4i4i0−4i4i00000000000000000000000000
χ354-44-4-440004i−4i0−4i4i00000000000000000000000000
χ364-44-4-44000−4i4i04i−4i00000000000000000000000000
χ374-4-440000400-400004i−4i0000000000000000000000
χ384-4-440000400-40000−4i4i0000000000000000000000
χ394-4-440000-4004000000004-4000000000000000000
χ404-4-440000-400400000000-44000000000000000000

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