Finite Group Databasebeta

← Group #11921

Character table — Group #11921

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11222222244448888888816161122222224444888888881616
order12244888844881616161616161616242224488884488161616161616161624
χ11111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1
χ31111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-1
χ41111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111
χ511111-1-1-1-111-1-1ii−i−iii−i−i1-111111-1-1-1-111-1-1ii−i−iii−i−i1-1
χ611111-1-1-1-111-1-1ii−i−i−i−iii-1111111-1-1-1-111-1-1ii−i−i−i−iii-11
χ711111-1-1-1-111-1-1−i−iiiii−i−i-1111111-1-1-1-111-1-1−i−iiiii−i−i-11
χ811111-1-1-1-111-1-1−i−iii−i−iii1-111111-1-1-1-111-1-1−i−iii−i−iii1-1
χ92222222-2-2-2-22-200000000002222222-2-2-2-22-20000000000
χ1022222-2-222-2-2-22000000000022222-2-222-2-2-220000000000
χ1122-22-20022000-22−22−200000022-22-20022000-22−22−2000000
χ1222-22-20022000-2−22−2200000022-22-20022000-2−22−22000000
χ1322-22-200-2-20002i2−i2−i2i200000022-22-200-2-20002i2−i2−i2i2000000
χ1422-22-200-2-20002−i2i2i2−i200000022-22-200-2-20002−i2i2i2−i2000000
χ1522-2-22220000-2000002−22−20022-2-22220000-2000002−22−200
χ1622-2-22220000-200000−22−220022-2-22220000-200000−22−2200
χ1722-2-22-2-20000200000i2−i2−i2i20022-2-22-2-20000200000i2−i2−i2i200
χ1822-2-22-2-20000200000−i2i2i2−i20022-2-22-2-20000200000−i2i2i2−i200
χ19444-4-4000000000000000000444-4-4000000000000000000
χ204-40002i2−2i22i2−2i22-20000000000004-40002i2−2i22i2−2i22-2000000000000
χ214-40002i2−2i2−2i22i2-220000000000004-40002i2−2i2−2i22i2-22000000000000
χ224-4000−2i22i22i2−2i2-220000000000004-4000−2i22i22i2−2i2-22000000000000
χ234-4000−2i22i2−2i22i22-20000000000004-4000−2i22i2−2i22i22-2000000000000
χ2411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2511111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ261111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ271111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ2811111-1-1-1-111-1-1ii−i−iii−i−i1-1-1-1-1-1-11111-1-111−i−iii−i−iii-11
χ2911111-1-1-1-111-1-1ii−i−i−i−iii-11-1-1-1-1-11111-1-111−i−iiiii−i−i1-1
χ3011111-1-1-1-111-1-1−i−iiiii−i−i-11-1-1-1-1-11111-1-111ii−i−i−i−iii1-1
χ3111111-1-1-1-111-1-1−i−iii−i−iii1-1-1-1-1-1-11111-1-111ii−i−iii−i−i-11
χ322222222-2-2-2-22-20000000000-2-2-2-2-2-2-22222-220000000000
χ3322222-2-222-2-2-220000000000-2-2-2-2-222-2-2222-20000000000
χ3422-22-20022000-22−22−2000000-2-22-2200-2-20002−22−22000000
χ3522-22-20022000-2−22−22000000-2-22-2200-2-200022−22−2000000
χ3622-22-200-2-20002i2−i2−i2i2000000-2-22-220022000-2−i2i2i2−i2000000
χ3722-22-200-2-20002−i2i2i2−i2000000-2-22-220022000-2i2−i2−i2i2000000
χ3822-2-22220000-2000002−22−200-2-222-2-2-20000200000−22−2200
χ3922-2-22220000-200000−22−2200-2-222-2-2-200002000002−22−200
χ4022-2-22-2-20000200000i2−i2−i2i200-2-222-2220000-200000−i2i2i2−i200
χ4122-2-22-2-20000200000−i2i2i2−i200-2-222-2220000-200000i2−i2−i2i200
χ42444-4-4000000000000000000-4-4-444000000000000000000
χ434-40002i2−2i22i2−2i22-2000000000000-44000−2i22i2−2i22i2-22000000000000
χ444-40002i2−2i2−2i22i2-22000000000000-44000−2i22i22i2−2i22-2000000000000
χ454-4000−2i22i22i2−2i2-22000000000000-440002i2−2i2−2i22i22-2000000000000
χ464-4000−2i22i2−2i22i22-2000000000000-440002i2−2i22i2−2i2-22000000000000

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