Finite Group Databasebeta

← Group #10413

Character table — Group #10413

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444448888888822444444888888884444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ922222222222-2-2-22-2-2-2000000002200-2-200000000000000
χ1022222222222-2-2-22-2-2-200000000-2-2002200000000000000
χ1122222222-2-2-2222-22-2-200000000002200-2-2000000000000
χ1222222222-2-2-2222-22-2-20000000000-2-20022000000000000
χ1322222222-2-2-2-2-2-2-2-2220000000000000000000000002-200
χ1422222222-2-2-2-2-2-2-2-222000000000000000000000000-2200
χ152222-2-2-2-222-2000-20002222−2−2−2−22-200000022−2−200000000
χ162222-2-2-2-222-2000-20002222−2−2−2−2-22000000−2−22200000000
χ172222-2-2-2-222-2000-2000−2−2−2−222222-2000000−2−22200000000
χ182222-2-2-2-222-2000-2000−2−2−2−22222-2200000022−2−200000000
χ1922-2-222-2-20002-2-2020022−2−222−2−20000002i−2i0000i2i2−i2−i20000
χ2022-2-222-2-20002-2-2020022−2−222−2−2000000−2i2i0000−i2−i2i2i20000
χ2122-2-222-2-20002-2-20200−2−222−2−2220000002i−2i0000−i2−i2i2i20000
χ2222-2-222-2-20002-2-20200−2−222−2−222000000−2i2i0000i2i2−i2−i20000
χ232-22-2-22-2200022-20-200i2−i2i2−i2i2−i2i2−i2002i−2i000000002−22−20000
χ242-22-2-22-2200022-20-200i2−i2i2−i2i2−i2i2−i200−2i2i00000000−22−220000
χ252-22-2-22-2200022-20-200−i2i2−i2i2−i2i2−i2i2002i−2i00000000−22−220000
χ262-22-2-22-2200022-20-200−i2i2−i2i2−i2i2−i2i200−2i2i000000002−22−20000
χ272-2-222-2-222-22000-2000i2−i2−i2i2−i2i2i2−i200002i−2i002−22−200000000
χ282-2-222-2-222-22000-2000i2−i2−i2i2−i2i2i2−i20000−2i2i00−22−2200000000
χ292-2-222-2-222-22000-2000−i2i2i2−i2i2−i2−i2i200002i−2i00−22−2200000000
χ302-2-222-2-222-22000-2000−i2i2i2−i2i2−i2−i2i20000−2i2i002−22−200000000
χ312-2-22-222-22-2-22-222-22-22i−2i−2i2i2i−2i−2i2i00000000000000000000
χ322-2-22-222-22-2-22-222-22-2−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ332-2-22-222-22-2-2-22-222-2200000000000000002-2-2200000000
χ342-2-22-222-22-2-2-22-222-220000000000000000-222-200000000
χ352-2-22-222-2-2222-22-2-2-22000000000000000000002i−2i−2i2i0000
χ362-2-22-222-2-2222-22-2-2-2200000000000000000000−2i2i2i−2i0000
χ372-2-22-222-2-222-22-2-222-2000000000000000000000000002i−2i
χ382-2-22-222-2-222-22-2-222-200000000000000000000000000−2i2i
χ394444-4-4-4-4-4-4400040000000000000000000000000000000
χ4044-4-444-4-4000-4440-4000000000000000000000000000000
χ4144-4-4-4-444000000000022-2-2-2-22200000000000000000000
χ4244-4-4-4-4440000000000-2-22222-2-200000000000000000000
χ434-44-44-44-400000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ444-44-44-44-40000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ454-44-4-44-44000-4-4404000000000000000000000000000000
χ464-4-444-4-44-44-400040000000000000000000000000000000

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