Finite Group Databasebeta

← Group #18639

Character table — Group #18639

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222444444444444448888888888888816161616
order1222224444444444444488888888244444444488882488
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ5111111111111111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ6111111111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-111-1-1
χ7111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1
χ8111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111
χ91111-1-11-1-1-1-1111-111-1-111111-1-1-1-11-1111-11-1-1-111-1-11-11-1
χ101111-1-11-1-1-1-1111-111-1-111111-1-1-1-1-11-1-11-1-111111-1-1-11-11
χ111111-1-11-1-1-1-1111-111-1-11-1-1-1-111111-1111-11-1-1-1-1-111-11-11
χ121111-1-11-1-1-1-1111-111-1-11-1-1-1-11111-11-1-11-1-1111-1-1111-11-1
χ131111-1-11-1-1-1-1111-1-1-11111111-1-1-1-11-1-1-1-111-111-1-111-111-1
χ141111-1-11-1-1-1-1111-1-1-11111111-1-1-1-1-1111-11-11-1-1-1-1111-1-11
χ151111-1-11-1-1-1-1111-1-1-1111-1-1-1-111111-1-1-1-111-11111-1-11-1-11
χ161111-1-11-1-1-1-1111-1-1-1111-1-1-1-11111-1111-11-11-1-111-1-1-111-1
χ17222222222-2-2-2-22-20000-2000000002-20000-220000000000
χ18222222222-2-2-2-22-20000-200000000-2200002-20000000000
χ19222222-2-2-222-2-2-2-20000200000000002-200002-200000000
χ20222222-2-2-222-2-2-2-2000020000000000-220000-2200000000
χ21222222-2-2-2-2-222-2222-2-2-2000000000000-22000000000000
χ22222222-2-2-2-2-222-22-2-222-20000000000002-2000000000000
χ232222-2-22-2-222-2-2220000-200000000220000-2-20000000000
χ242222-2-22-2-222-2-2220000-200000000-2-20000220000000000
χ252222-2-2-2222222-2-22222-2000000000000-2-2000000000000
χ262222-2-2-2222222-2-2-2-2-2-2-200000000000022000000000000
χ272222-2-2-222-2-2-2-2-220000200000000002-20000-2200000000
χ282222-2-2-222-2-2-2-2-22000020000000000-2200002-200000000
χ292-22-20002i−2i2i−2i2-2002i−2i2-20i2i2−i2−i222−2−200000000002−2i2−i20000
χ302-22-20002i−2i2i−2i2-2002i−2i2-20−i2−i2i2i2−2−2220000000000−22−i2i20000
χ312-22-20002i−2i2i−2i2-200−2i2i-220i2i2−i2−i222−2−20000000000−22−i2i20000
χ322-22-20002i−2i2i−2i2-200−2i2i-220−i2−i2i2i2−2−22200000000002−2i2−i20000
χ332-22-2000−2i2i−2i2i2-2002i−2i-220i2i2−i2−i2−2−22200000000002−2−i2i20000
χ342-22-2000−2i2i−2i2i2-2002i−2i-220−i2−i2i2i222−2−20000000000−22i2−i20000
χ352-22-2000−2i2i−2i2i2-200−2i2i2-20i2i2−i2−i2−2−2220000000000−22i2−i20000
χ362-22-2000−2i2i−2i2i2-200−2i2i2-20−i2−i2i2i222−2−200000000002−2−i2i20000
χ3744-4-4004000000-400000022−2222−220000000000000000000000
χ3844-4-4004000000-4000000−2222−22220000000000000000000000
χ3944-4-400-4000000400000000002i2−2i22i2−2i2000000000000000000
χ4044-4-400-400000040000000000−2i22i2−2i22i2000000000000000000
χ414-44-40004i−4i−4i4i-44000000000000000000000000000000000
χ424-44-4000−4i4i4i−4i-44000000000000000000000000000000000
χ434-4-444-4000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ444-4-444-400000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ454-4-44-44000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ464-4-44-4400000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000

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