Finite Group Databasebeta

← Group #11930

Character table — Group #11930

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222222244444444888888888888888816161616
order122222444444448888448888888888888816161616161616162244
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
χ5111111-1-1-11111-1-1-1-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1
χ6111111-1-1-11111-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-11-11
χ7111111-1-1-11111-1-1-1-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-11-11
χ8111111-1-1-11111-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1
χ91111-1-111-1-1-111-1-1-1-1-11-111-1-111ii−i−iii−i−iii−i−iii−i−i1-1-11
χ101111-1-111-1-1-111-1-1-1-1-11-111-1-111ii−i−iii−i−i−i−iii−i−iii-111-1
χ111111-1-111-1-1-111-1-1-1-1-11-111-1-111−i−iii−i−iiiii−i−iii−i−i-111-1
χ121111-1-111-1-1-111-1-1-1-1-11-111-1-111−i−iii−i−iii−i−iii−i−iii1-1-11
χ131111-1-1-1-11-1-11111111-1111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1
χ141111-1-1-1-11-1-11111111-1111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111
χ151111-1-1-1-11-1-11111111-1111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111
χ161111-1-1-1-11-1-11111111-1111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ1722222222222222-2-2-2-222-2-2-2-2-2-200000000000000000000
χ18222222222-2-2-2-220000-2-2000000000000002−22−22−22−20000
χ19222222222-2-2-2-220000-2-200000000000000−22−22−22−220000
χ20222222-2-2-22222-22222-2-2-2-2-2-22200000000000000000000
χ21222222-2-2-2-2-2-2-2-200002200000000000000i2−i2i2−i2−i2i2−i2i20000
χ22222222-2-2-2-2-2-2-2-200002200000000000000−i2i2−i2i2i2−i2i2−i20000
χ232222-2-222-222-2-2-20000-2200000000000000i2−i2−i2i2i2−i2−i2i20000
χ242222-2-222-222-2-2-20000-2200000000000000−i2i2i2−i2−i2i2i2−i20000
χ252222-2-222-2-2-222-222222-2-2-222-2-200000000000000000000
χ262222-2-2-2-2222-2-2200002-2000000000000002−2−22−222−20000
χ272222-2-2-2-2222-2-2200002-200000000000000−222−22−2−220000
χ282222-2-2-2-22-2-2222-2-2-2-2-22-2-2222200000000000000000000
χ292-2-222-20002-22-2022-2-20000002-2i2−i2i2−i2i2−i2i2−i2000000000000
χ302-2-222-20002-22-2022-2-20000002-2−i2i2−i2i2−i2i2−i2i2000000000000
χ312-2-222-20002-22-20-2-222000000-222−22−2−22−22000000000000
χ322-2-222-20002-22-20-2-222000000-22−22−222−22−2000000000000
χ332-2-22-22000-222-2022-2-2000000-22i2−i2−i2i2−i2i2i2−i2000000000000
χ342-2-22-22000-222-2022-2-2000000-22−i2i2i2−i2i2−i2−i2i2000000000000
χ352-2-22-22000-222-20-2-2220000002-22−2−222−2−22000000000000
χ362-2-22-22000-222-20-2-2220000002-2−222−2−222−2000000000000
χ3744-4-4000040000-422−2222−220022−22000000000000000000000000
χ3844-4-4000040000-4−2222−222200−2222000000000000000000000000
χ3944-4-40000-40000422−2222−2200−2222000000000000000000000000
χ4044-4-40000-400004−2222−22220022−22000000000000000000000000
χ414-44-4004i−4i00000022−22−222200002i2−2i20000000000000000000000
χ424-44-4004i−4i000000−222222−220000−2i22i20000000000000000000000
χ434-44-400−4i4i00000022−22−22220000−2i22i20000000000000000000000
χ444-44-400−4i4i000000−222222−2200002i2−2i20000000000000000000000
χ454-4-444-4000-44-44000000000000000000000000000000000
χ464-4-44-440004-4-44000000000000000000000000000000000

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