Finite Group Databasebeta

← Group #7233

Character table — Group #7233

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122222222224444444444888888881616161616161616
order122222224488882444888888161616161616161644444444
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
χ5111111-1-111-1-1-1-1-11-1-11111-1-1iiii−i−i−i−i11-1-1ii−i−i
χ6111111-1-111-1-1-1-1-11-1-11111-1-1iiii−i−i−i−i-1-111−i−iii
χ7111111-1-111-1-1-1-1-11-1-11111-1-1−i−i−i−iiiii11-1-1−i−iii
χ8111111-1-111-1-1-1-1-11-1-11111-1-1−i−i−i−iiiii-1-111ii−i−i
χ91111-1-11111-1-1-1-1-1-11-111-1-111ii−i−iii−i−ii−ii−i1-11-1
χ101111-1-11111-1-1-1-1-1-11-111-1-111ii−i−iii−i−i−ii−ii-11-11
χ111111-1-11111-1-1-1-1-1-11-111-1-111−i−iii−i−iiii−ii−i-11-11
χ121111-1-11111-1-1-1-1-1-11-111-1-111−i−iii−i−iii−ii−ii1-11-1
χ131111-1-1-1-11111111-1-1111-1-1-1-111-1-1-1-111i−i−ii−iii−i
χ141111-1-1-1-11111111-1-1111-1-1-1-111-1-1-1-111−iii−ii−i−ii
χ151111-1-1-1-11111111-1-1111-1-1-1-1-1-11111-1-1i−i−iii−i−ii
χ161111-1-1-1-11111111-1-1111-1-1-1-1-1-11111-1-1−iii−i−iii−i
χ172222222222-2-2-2-22222-2-2-2-2-2-20000000000000000
χ1822222222-2-200002-2-2-20000002−22−22−22−200000000
χ1922222222-2-200002-2-2-2000000−22−22−22−2200000000
χ20222222-2-2222222-22-2-2-2-2-2-2220000000000000000
χ21222222-2-2-2-20000-2-222000000i2−i2i2−i2−i2i2−i2i200000000
χ22222222-2-2-2-20000-2-222000000−i2i2−i2i2i2−i2i2−i200000000
χ232222-2-222222222-2-22-2-2-222-2-20000000000000000
χ242222-2-222-2-20000-22-22000000i2−i2−i2i2i2−i2−i2i200000000
χ252222-2-222-2-20000-22-22000000−i2i2i2−i2−i2i2i2−i200000000
χ262222-2-2-2-222-2-2-2-22-2-22-2-222220000000000000000
χ272222-2-2-2-2-2-20000222-20000002−2−22−222−200000000
χ282222-2-2-2-2-2-20000222-2000000−222−22−2−2200000000
χ2944-4-4004-4002i22i2−2i2−2i20000002i2−2i2000000000000000000
χ3044-4-4004-400−2i2−2i22i22i2000000−2i22i2000000000000000000
χ3144-4-400-44002i22i2−2i2−2i2000000−2i22i2000000000000000000
χ3244-4-400-4400−2i2−2i22i22i20000002i2−2i2000000000000000000
χ334-44-44-400002i2−2i22i2−2i2000000002i2−2i20000000000000000
χ344-44-44-40000−2i22i2−2i22i200000000−2i22i20000000000000000
χ354-44-4-4400002i2−2i22i2−2i200000000−2i22i20000000000000000
χ364-44-4-440000−2i22i2−2i22i2000000002i2−2i20000000000000000
χ374-4-4400004-4000000004i−4i00000000000000000000
χ384-4-4400004-400000000−4i4i00000000000000000000
χ394-4-440000-444-4-4400000000000000000000000000
χ404-4-440000-44-444-400000000000000000000000000

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