Finite Group Databasebeta

← Group #23677

Character table — Group #23677

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111111111111111222222224444444444444444444444448888888888888888
order1222222244444444444444444444444488888888888888882244444444444444
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ172222222222222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ1922222222-2-2-2-2-2-2-2-2-2-22222-2-222-2-2-2-22200000000000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-200000000000000000000000000000000
χ2122-22-2-22-22i2i2i2i−2i−2i−2i−2i000000002-22i−2i0000i2i2−i2−i222−2−2i2i2−i2−i222−2−20000000000000000
χ2222-22-2-22-22i2i2i2i−2i−2i−2i−2i000000002-22i−2i0000−i2−i2i2i2−2−222−i2−i2i2i2−2−2220000000000000000
χ2322-22-2-22-22i2i2i2i−2i−2i−2i−2i00000000-22−2i2i0000i2i2−i2−i222−2−2−i2−i2i2i2−2−2220000000000000000
χ2422-22-2-22-22i2i2i2i−2i−2i−2i−2i00000000-22−2i2i0000−i2−i2i2i2−2−222i2i2−i2−i222−2−20000000000000000
χ2522-22-2-22-2−2i−2i−2i−2i2i2i2i2i000000002-2−2i2i0000i2i2−i2−i2−2−222i2i2−i2−i2−2−2220000000000000000
χ2622-22-2-22-2−2i−2i−2i−2i2i2i2i2i000000002-2−2i2i0000−i2−i2i2i222−2−2−i2−i2i2i222−2−20000000000000000
χ2722-22-2-22-2−2i−2i−2i−2i2i2i2i2i00000000-222i−2i0000i2i2−i2−i2−2−222−i2−i2i2i222−2−20000000000000000
χ2822-22-2-22-2−2i−2i−2i−2i2i2i2i2i00000000-222i−2i0000−i2−i2i2i222−2−2i2i2−i2−i2−2−2220000000000000000
χ2922-2-22-2-222i2i−2i−2i2i2i−2i−2i2-22i2i−2i−2i2-2000000000000000000000000000000002-22i−2i0000
χ3022-2-22-2-222i2i−2i−2i2i2i−2i−2i2-22i2i−2i−2i2-200000000000000000000000000000000-22−2i2i0000
χ3122-2-22-2-222i2i−2i−2i2i2i−2i−2i-22−2i−2i2i2i-220000000000000000000000000000000000002-22i−2i
χ3222-2-22-2-222i2i−2i−2i2i2i−2i−2i-22−2i−2i2i2i-22000000000000000000000000000000000000-22−2i2i
χ3322-2-22-2-22−2i−2i2i2i−2i−2i2i2i2-2−2i−2i2i2i2-2000000000000000000000000000000002-2−2i2i0000
χ3422-2-22-2-22−2i−2i2i2i−2i−2i2i2i2-2−2i−2i2i2i2-200000000000000000000000000000000-222i−2i0000
χ3522-2-22-2-22−2i−2i2i2i−2i−2i2i2i-222i2i−2i−2i-220000000000000000000000000000000000002-2−2i2i
χ3622-2-22-2-22−2i−2i2i2i−2i−2i2i2i-222i2i−2i−2i-22000000000000000000000000000000000000-222i−2i
χ372-222-2-2-222i−2i2i−2i2i−2i2i−2i2-22i−2i2i−2i-2200000000000000002-22-22i−2i2i−2i0000000000000000
χ382-222-2-2-222i−2i2i−2i2i−2i2i−2i2-22i−2i2i−2i-220000000000000000-22-22−2i2i−2i2i0000000000000000
χ392-222-2-2-222i−2i2i−2i2i−2i2i−2i-22−2i2i−2i2i2-2000000002-22-22i−2i2i−2i000000000000000000000000
χ402-222-2-2-222i−2i2i−2i2i−2i2i−2i-22−2i2i−2i2i2-200000000-22-22−2i2i−2i2i000000000000000000000000
χ412-222-2-2-22−2i2i−2i2i−2i2i−2i2i2-2−2i2i−2i2i-2200000000000000002-22-2−2i2i−2i2i0000000000000000
χ422-222-2-2-22−2i2i−2i2i−2i2i−2i2i2-2−2i2i−2i2i-220000000000000000-22-222i−2i2i−2i0000000000000000
χ432-222-2-2-22−2i2i−2i2i−2i2i−2i2i-222i−2i2i−2i2-2000000002-22-2−2i2i−2i2i000000000000000000000000
χ442-222-2-2-22−2i2i−2i2i−2i2i−2i2i-222i−2i2i−2i2-200000000-22-222i−2i2i−2i000000000000000000000000
χ452-2-2222-2-22-22-2-22-220000000000002-22-2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ462-2-2222-2-22-22-2-22-220000000000002-22-2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ472-2-2222-2-22-22-2-22-22000000000000-22-22i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ482-2-2222-2-22-22-2-22-22000000000000-22-22−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ492-2-2222-2-2-22-222-22-20000000000002-2-22i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000000000000000
χ502-2-2222-2-2-22-222-22-20000000000002-2-22−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000000000000000
χ512-2-2222-2-2-22-222-22-2000000000000-222-2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i20000000000000000
χ522-2-2222-2-2-22-222-22-2000000000000-222-2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i20000000000000000
χ532-2-2-2-22222-2-222-2-22222-2-22-2-200000000000000000000000000002i−2i2i−2i00000000
χ542-2-2-2-22222-2-222-2-22222-2-22-2-20000000000000000000000000000−2i2i−2i2i00000000
χ552-2-2-2-22222-2-222-2-22-2-2-222-2220000000000000000000000002-22-2000000000000
χ562-2-2-2-22222-2-222-2-22-2-2-222-222000000000000000000000000-22-22000000000000
χ572-2-2-2-2222-222-2-222-222-222-2-2-200000000000000000000000000002i−2i−2i2i00000000
χ582-2-2-2-2222-222-2-222-222-222-2-2-20000000000000000000000000000−2i2i2i−2i00000000
χ592-2-2-2-2222-222-2-222-2-2-22-2-22220000000000000000000000002-2-22000000000000
χ602-2-2-2-2222-222-2-222-2-2-22-2-2222000000000000000000000000-222-2000000000000
χ61444-4-44-4-444-4-4-4-444000000000000000000000000000000000000000000000000
χ62444-4-44-4-4-4-44444-4-4000000000000000000000000000000000000000000000000
χ634-44-44-44-44i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000
χ644-44-44-44-4−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000

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