Finite Group Databasebeta

← Group #19133

Character table — Group #19133

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222444422444444448888888822448888888888882244
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1
χ91111-1-1-1-1-1-1-1-111111-111-1-111-1-11-11-111-1-111-1-111-1-111-1-1
χ101111-1-1-1-1-1-1-1-111111-111-1-111-1-11-11-1-1-111-1-11111-1-1-1-111
χ111111-1-1-1-1-1-1-1-111111-111-1-111-1-1-11-1111-1-111-1-1-1-111-1-111
χ121111-1-1-1-1-1-1-1-111111-111-1-111-1-1-11-11-1-111-1-111-1-11111-1-1
χ131111-1-1-1-1-1-1-1-111111-1-1-111-1-1111-11-111-1-1-1-111-1-1111-1-11
χ141111-1-1-1-1-1-1-1-111111-1-1-111-1-1111-11-1-1-11111-1-1-1-111-111-1
χ151111-1-1-1-1-1-1-1-111111-1-1-111-1-111-11-1111-1-1-1-11111-1-1-111-1
χ161111-1-1-1-1-1-1-1-111111-1-1-111-1-111-11-11-1-11111-1-111-1-11-1-11
χ172222222222-2-22-2-22-2-22222-2-2-2-200000000000000000000
χ182222222222-2-22-2-22-2-2-2-2-2-2222200000000000000000000
χ1922222222-2-222-222-2-2-2000000002-2-220000000000000000
χ2022222222-2-222-222-2-2-200000000-222-20000000000000000
χ2122222222-2-2-2-2-2-2-2-222000000000000000000002i−2i2i−2i0000
χ2222222222-2-2-2-2-2-2-2-22200000000000000000000−2i2i−2i2i0000
χ232222-2-2-2-22222-2-2-2-22-2000000000000000000002i−2i−2i2i0000
χ242222-2-2-2-22222-2-2-2-22-200000000000000000000−2i2i2i−2i0000
χ252222-2-2-2-222-2-2-222-2-220000000022-2-20000000000000000
χ262222-2-2-2-222-2-2-222-2-2200000000-2-2220000000000000000
χ272222-2-2-2-2-2-2222-2-22-2222-2-2-2-22200000000000000000000
χ282222-2-2-2-2-2-2222-2-22-22-2-22222-2-200000000000000000000
χ292-2-2222-2-22-200-20020000002-22-200002−22−22−22−200000000
χ302-2-2222-2-22-200-20020000002-22-20000−22−22−22−2200000000
χ312-2-2222-2-22-200-2002000000-22-2200002−22−2−22−2200000000
χ322-2-2222-2-22-200-2002000000-22-220000−22−222−22−200000000
χ332-2-22-2-222-2200-20020000002-2-2200002−2−222−2−2200000000
χ342-2-22-2-222-2200-20020000002-2-220000−222−2−222−200000000
χ352-2-22-2-222-2200-2002000000-222-200002−2−22−222−200000000
χ362-2-22-2-222-2200-2002000000-222-20000−222−22−2−2200000000
χ3744-4-44i−4i4i−4i000000000022−222i2−2i2000000000000000000000000
χ3844-4-44i−4i4i−4i0000000000−2222−2i22i2000000000000000000000000
χ3944-4-4−4i4i−4i4i000000000022−22−2i22i2000000000000000000000000
χ4044-4-4−4i4i−4i4i0000000000−22222i2−2i2000000000000000000000000
χ414-44-44i−4i−4i4i004i−4i04-40000000000000000000000000000000
χ424-44-44i−4i−4i4i00−4i4i0-440000000000000000000000000000000
χ434-44-4−4i4i4i−4i004i−4i0-440000000000000000000000000000000
χ444-44-4−4i4i4i−4i00−4i4i04-40000000000000000000000000000000
χ454-4-4444-4-4-4400400-4000000000000000000000000000000
χ464-4-44-4-4444-400400-4000000000000000000000000000000

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