Finite Group Databasebeta

← Group #23421

Character table — Group #23421

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111111111111111222222224444444444444444444444448888888888888888
order1222222244444444222244444444444488888888888888882222224444444444
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111
χ911111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ1011111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1211111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1
χ172222222222222222-2-2-2-2-2-2-2-222-2-222-2-200000000000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-222-2-22200000000000000000000000000000000
χ1922222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-22200000000000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-200000000000000000000000000000000
χ21222-2-2-2-222222-2-2-2-222-2-222-2-20000000000000000000000000000002i−2i2i−2i000000
χ22222-2-2-2-222222-2-2-2-222-2-222-2-2000000000000000000000000000000−2i2i−2i2i000000
χ23222-2-2-2-222222-2-2-2-2-2-222-2-22200000000000000000000000000002-2000000002-2
χ24222-2-2-2-222222-2-2-2-2-2-222-2-2220000000000000000000000000000-2200000000-22
χ25222-2-2-2-22-2-2-2-2222222-2-2-2-22200000000000000000000000000002-200000000-22
χ26222-2-2-2-22-2-2-2-2222222-2-2-2-2220000000000000000000000000000-22000000002-2
χ27222-2-2-2-22-2-2-2-22222-2-22222-2-20000000000000000000000000000002i−2i−2i2i000000
χ28222-2-2-2-22-2-2-2-22222-2-22222-2-2000000000000000000000000000000−2i2i2i−2i000000
χ2922-222-2-2-22i2i−2i−2i2i2i−2i−2i00000000002-2002i−2i22−2−2i2i2−i2−i222−2−2i2i2−i2−i20000000000000000
χ3022-222-2-2-22i2i−2i−2i2i2i−2i−2i00000000002-2002i−2i−2−222−i2−i2i2i2−2−222−i2−i2i2i20000000000000000
χ3122-222-2-2-22i2i−2i−2i2i2i−2i−2i0000000000-2200−2i2i22−2−2i2i2−i2−i2−2−222−i2−i2i2i20000000000000000
χ3222-222-2-2-22i2i−2i−2i2i2i−2i−2i0000000000-2200−2i2i−2−222−i2−i2i2i222−2−2i2i2−i2−i20000000000000000
χ3322-222-2-2-2−2i−2i2i2i−2i−2i2i2i00000000002-200−2i2i22−2−2−i2−i2i2i222−2−2−i2−i2i2i20000000000000000
χ3422-222-2-2-2−2i−2i2i2i−2i−2i2i2i00000000002-200−2i2i−2−222i2i2−i2−i2−2−222i2i2−i2−i20000000000000000
χ3522-222-2-2-2−2i−2i2i2i−2i−2i2i2i0000000000-22002i−2i22−2−2−i2−i2i2i2−2−222i2i2−i2−i20000000000000000
χ3622-222-2-2-2−2i−2i2i2i−2i−2i2i2i0000000000-22002i−2i−2−222i2i2−i2−i222−2−2−i2−i2i2i20000000000000000
χ372-222-22-2-22i−2i2i−2i2i−2i2i−2i000000002-2002i−2i002−22−2i2−i2i2−i22−22−2i2−i2i2−i20000000000000000
χ382-222-22-2-22i−2i2i−2i2i−2i2i−2i000000002-2002i−2i00−22−22−i2i2−i2i2−22−22−i2i2−i2i20000000000000000
χ392-222-22-2-22i−2i2i−2i2i−2i2i−2i00000000-2200−2i2i002−22−2i2−i2i2−i2−22−22−i2i2−i2i20000000000000000
χ402-222-22-2-22i−2i2i−2i2i−2i2i−2i00000000-2200−2i2i00−22−22−i2i2−i2i22−22−2i2−i2i2−i20000000000000000
χ412-222-22-2-2−2i2i−2i2i−2i2i−2i2i000000002-200−2i2i002−22−2−i2i2−i2i22−22−2−i2i2−i2i20000000000000000
χ422-222-22-2-2−2i2i−2i2i−2i2i−2i2i000000002-200−2i2i00−22−22i2−i2i2−i2−22−22i2−i2i2−i20000000000000000
χ432-222-22-2-2−2i2i−2i2i−2i2i−2i2i00000000-22002i−2i002−22−2−i2i2−i2i2−22−22i2−i2i2−i20000000000000000
χ442-222-22-2-2−2i2i−2i2i−2i2i−2i2i00000000-22002i−2i00−22−22i2−i2i2−i22−22−2−i2i2−i2i20000000000000000
χ452-2-22-2-2222-2-222-2-222-22-22-22-200000000000000002-2-222-2-220000000000000000
χ462-2-22-2-2222-2-222-2-222-22-22-22-20000000000000000-222-2-222-20000000000000000
χ472-2-22-2-2222-2-222-2-22-22-22-22-22000000002-2-222-2-22000000000000000000000000
χ482-2-22-2-2222-2-222-2-22-22-22-22-2200000000-222-2-222-2000000000000000000000000
χ492-2-22-2-222-222-2-222-22-22-2-22-22000000002-2-22-222-2000000000000000000000000
χ502-2-22-2-222-222-2-222-22-22-2-22-2200000000-222-22-2-22000000000000000000000000
χ512-2-22-2-222-222-2-222-2-22-222-22-200000000000000002-2-22-222-20000000000000000
χ522-2-22-2-222-222-2-222-2-22-222-22-20000000000000000-222-22-2-220000000000000000
χ532-2-2-222-222-2-22-222-22-2-222-2-220000000000000000000000002-2000000002-20000
χ542-2-2-222-222-2-22-222-22-2-222-2-22000000000000000000000000-2200000000-220000
χ552-2-2-222-222-2-22-222-2-222-2-222-2000000000000000000000000002-2000000002-200
χ562-2-2-222-222-2-22-222-2-222-2-222-200000000000000000000000000-2200000000-2200
χ572-2-2-222-22-222-22-2-222-2-22-222-2000000000000000000000000002-200000000-2200
χ582-2-2-222-22-222-22-2-222-2-22-222-200000000000000000000000000-22000000002-200
χ592-2-2-222-22-222-22-2-22-222-22-2-220000000000000000000000002-200000000-220000
χ602-2-2-222-22-222-22-2-22-222-22-2-22000000000000000000000000-22000000002-20000
χ6144-4-4-444-44i4i−4i−4i−4i−4i4i4i000000000000000000000000000000000000000000000000
χ6244-4-4-444-4−4i−4i4i4i4i4i−4i−4i000000000000000000000000000000000000000000000000
χ634-44-44-44-44i−4i4i−4i−4i4i−4i4i000000000000000000000000000000000000000000000000
χ644-44-44-44-4−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000

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