Finite Group Databasebeta

← Group #8650

Character table — Group #8650

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444448888888822448888888888884444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ91-1-1111-1-111-1-1-111-11-111-1-111-1-11-11-111-1-1ii−i−iii−i−ii−ii−i
χ101-1-1111-1-111-1-1-111-11-111-1-111-1-11-11-111-1-1−i−iii−i−iii−ii−ii
χ111-1-1111-1-111-1-1-111-11-111-1-111-1-1-11-11-1-111ii−i−iii−i−i−ii−ii
χ121-1-1111-1-111-1-1-111-11-111-1-111-1-1-11-11-1-111−i−iii−i−iiii−ii−i
χ131-1-1111-1-111-1-1-111-11-1-1-111-1-1111-11-1-1-111ii−i−i−i−iiii−i−ii
χ141-1-1111-1-111-1-1-111-11-1-1-111-1-1111-11-1-1-111−i−iiiii−i−i−iii−i
χ151-1-1111-1-111-1-1-111-11-1-1-111-1-111-11-1111-1-1ii−i−i−i−iii−iii−i
χ161-1-1111-1-111-1-1-111-11-1-1-111-1-111-11-1111-1-1−i−iiiii−i−ii−i−ii
χ1722222222222-2-2-2-22-2-20000000022-2-20000000000000000
χ1822222222222-2-2-2-22-2-200000000-2-2220000000000000000
χ1922222222-2-2-22222-2-2-22222-2-2-2-200000000000000000000
χ2022222222-2-2-22222-2-2-2-2-2-2-2222200000000000000000000
χ2122222222-2-2-2-2-2-2-2-2220000000000002i−2i2i−2i000000000000
χ2222222222-2-2-2-2-2-2-2-222000000000000−2i2i−2i2i000000000000
χ23222-2-22-2-20002-2-2200000002-22-200000000i2−i2i2−i2i2−i2i2−i20000
χ24222-2-22-2-20002-2-2200000002-22-200000000−i2i2−i2i2−i2i2−i2i20000
χ25222-2-22-2-20002-2-220000000-22-2200000000i2−i2i2−i2−i2i2−i2i20000
χ26222-2-22-2-20002-2-220000000-22-2200000000−i2i2−i2i2i2−i2i2−i20000
χ272-2-2222-2-222-222-2-2-2-22000000002-2-220000000000000000
χ282-2-2222-2-222-222-2-2-2-2200000000-222-20000000000000000
χ292-2-2222-2-2-2-2222-2-222-20000000000002i−2i−2i2i000000000000
χ302-2-2222-2-2-2-2222-2-222-2000000000000−2i2i2i−2i000000000000
χ312-2-2222-2-2-2-22-2-2222-2222-2-2-2-22200000000000000000000
χ322-2-2222-2-2-2-22-2-2222-22-2-22222-2-200000000000000000000
χ332-2-2-2-2222000-22-2200000002-2-22000000002−2−222−2−220000
χ342-2-2-2-2222000-22-2200000002-2-2200000000−222−2−222−20000
χ352-2-2-2-2222000-22-220000000-222-2000000002−2−22−222−20000
χ362-2-2-2-2222000-22-220000000-222-200000000−222−22−2−220000
χ37444-4-44-4-4000-444-40000000000000000000000000000000
χ3844-44-4-44-400000000002i2−2i22i2−2i2000000000000000000000000
χ3944-44-4-44-40000000000−2i22i2−2i22i2000000000000000000000000
χ4044-4-44-4-444-440000-4000000000000000000000000000000
χ4144-4-44-4-44-44-400004000000000000000000000000000000
χ424-444-4-4-4400000000002i2−2i2−2i22i2000000000000000000000000
χ434-444-4-4-440000000000−2i22i22i2−2i2000000000000000000000000
χ444-44-44-44-44-4-400004000000000000000000000000000000
χ454-44-44-44-4-4440000-4000000000000000000000000000000
χ464-4-4-4-44440004-44-40000000000000000000000000000000

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