Finite Group Databasebeta

← Group #13039

Character table — Group #13039

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11112222224444444488888888888888888816161616
order122222444488888888224444888816161616161616164444
χ11111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ4111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ91111-1-11-11-11-1ii−i−i1-111-1-1i−iii−i−i11-1-1ii−i−i1-1i−i
χ101111-1-11-11-11-1ii−i−i1-111-1-1i−iii−i−i-1-111−i−iii-11−ii
χ111111-1-11-11-11-1ii−i−i1-1-1-111i−i−i−iii11-1-1ii−i−i-11−ii
χ121111-1-11-11-11-1ii−i−i1-1-1-111i−i−i−iii-1-111−i−iii1-1i−i
χ131111-1-11-11-11-1−i−iii1-111-1-1−ii−i−iii11-1-1−i−iii1-1−ii
χ141111-1-11-11-11-1−i−iii1-111-1-1−ii−i−iii-1-111ii−i−i-11i−i
χ151111-1-11-11-11-1−i−iii1-1-1-111−iiii−i−i11-1-1−i−iii-11i−i
χ161111-1-11-11-11-1−i−iii1-1-1-111−iiii−i−i-1-111ii−i−i1-1−ii
χ172222222222-2-22222-2-20000-2-20000000000000000
χ182222222222-2-2-2-2-2-2-2-20000220000000000000000
χ192222-2-22-22-2-222i2i−2i−2i-220000−2i2i0000000000000000
χ202222-2-22-22-2-22−2i−2i2i2i-2200002i−2i0000000000000000
χ212-2-222-222-2-2002i−2i2i−2i0000000000002−22−2i2−i2i2−i20000
χ222-2-222-222-2-2002i−2i2i−2i000000000000−22−22−i2i2−i2i20000
χ232-2-222-222-2-200−2i2i−2i2i0000000000002−22−2−i2i2−i2i20000
χ242-2-222-222-2-200−2i2i−2i2i000000000000−22−22i2−i2i2−i20000
χ252-2-222-2-2-2222-20000-220000002-22-2000000000000
χ262-2-222-2-2-2222-20000-22000000-22-22000000000000
χ272-2-222-2-2-222-2200002-22-22-2000000000000000000
χ282-2-222-2-2-222-2200002-2-22-22000000000000000000
χ292-2-22-222-2-22002-2-220000000000002−2−222−2−220000
χ302-2-22-222-2-22002-2-22000000000000−222−2−222−20000
χ312-2-22-222-2-2200-222-20000000000002−2−22−222−20000
χ322-2-22-222-2-2200-222-2000000000000−222−22−2−220000
χ332-2-22-22-222-2220000-2-20000002i−2i−2i2i000000000000
χ342-2-22-22-222-2220000-2-2000000−2i2i2i−2i000000000000
χ352-2-22-22-222-2-2-20000222-2-22000000000000000000
χ362-2-22-22-222-2-2-2000022-222-2000000000000000000
χ37444444-4-4-4-4000000000000000000000000000000
χ384444-4-4-44-44000000000000000000000000000000
χ3988-8-8000000000000000000000000000000000000
χ408-88-8000000000000000000000000000000000000

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