Finite Group Databasebeta

← Group #9301

Character table — Group #9301

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11112222224444444488888888888888888816161616
order1222224444444444444444444444888888882488
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
χ91111-1-111-1-11-1ii−i−i-1111-1-1i−iii−i−i11-1-1ii−i−i1-1i−i
χ101111-1-111-1-11-1ii−i−i-1111-1-1i−iii−i−i-1-111−i−iii-11−ii
χ111111-1-111-1-11-1ii−i−i-11-1-111i−i−i−iii11-1-1ii−i−i-11−ii
χ121111-1-111-1-11-1ii−i−i-11-1-111i−i−i−iii-1-111−i−iii1-1i−i
χ131111-1-111-1-11-1−i−iii-1111-1-1−ii−i−iii11-1-1−i−iii1-1−ii
χ141111-1-111-1-11-1−i−iii-1111-1-1−ii−i−iii-1-111ii−i−i-11i−i
χ151111-1-111-1-11-1−i−iii-11-1-111−iiii−i−i11-1-1−i−iii-11i−i
χ161111-1-111-1-11-1−i−iii-11-1-111−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
χ19222222-2-2-2-22-200002-20000002-22-2000000000000
χ20222222-2-2-2-22-200002-2000000-22-22000000000000
χ21222222-2-2-2-2-220000-222-22-2000000000000000000
χ22222222-2-2-2-2-220000-22-22-22000000000000000000
χ232222-2-222-2-2-222i2i−2i−2i2-20000−2i2i0000000000000000
χ242222-2-222-2-2-22−2i−2i2i2i2-200002i−2i0000000000000000
χ252222-2-2-2-222220000-2-20000002i−2i−2i2i000000000000
χ262222-2-2-2-222220000-2-2000000−2i2i2i−2i000000000000
χ272222-2-2-2-222-2-20000222-2-22000000000000000000
χ282222-2-2-2-222-2-2000022-222-2000000000000000000
χ292-22-22-22-2-22002-22-2000000000000i2−i2i2−i2i2−i2i2−i20000
χ302-22-22-22-2-22002-22-2000000000000−i2i2−i2i2−i2i2−i2i20000
χ312-22-22-22-2-2200-22-22000000000000i2−i2i2−i2−i2i2−i2i20000
χ322-22-22-22-2-2200-22-22000000000000−i2i2−i2i2i2−i2i2−i20000
χ332-22-2-222-22-2002i−2i−2i2i000000000000i2−i2−i2i2−222−20000
χ342-22-2-222-22-2002i−2i−2i2i000000000000−i2i2i2−i22−2−220000
χ352-22-2-222-22-200−2i2i2i−2i000000000000i2−i2−i2i22−2−220000
χ362-22-2-222-22-200−2i2i2i−2i000000000000−i2i2i2−i2−222−20000
χ374-44-44-4-444-4000000000000000000000000000000
χ384-44-4-44-44-44000000000000000000000000000000
χ3988-8-8000000000000000000000000000000000000
χ408-8-88000000000000000000000000000000000000

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