Finite Group Databasebeta

← Group #10013

Character table — Group #10013

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11111111222244448888888888888888888816161616
order1222444422444444224444444444888888882488
χ11111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111
χ61111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ81111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ9222222222222-2-2-2-20000000022-2-2000000000000
χ10222222222222-2-2-2-200000000-2-222000000000000
χ1122222222-2-2-2-22-22-2000000000000000022-2-20000
χ1222222222-2-2-2-22-22-20000000000000000-2-2220000
χ1322222222-2-2-2-2-22-2200000000000022-2-200000000
χ1422222222-2-2-2-2-22-22000000000000-2-22200000000
χ152222-2-2-2-222-2-22-2-22220000-2-20000000000000000
χ162222-2-2-2-222-2-22-2-22-2-20000220000000000000000
χ172222-2-2-2-222-2-2-222-20022-2-2000000000000000000
χ182222-2-2-2-222-2-2-222-200-2-222000000000000000000
χ192222-2-2-2-2-2-22222-2-200000000000000000000002i−2i
χ202222-2-2-2-2-2-22222-2-20000000000000000000000−2i2i
χ212222-2-2-2-2-2-222-2-222000000000000000000002-200
χ222222-2-2-2-2-2-222-2-22200000000000000000000-2200
χ232-2-2222-2-22-22-2000000000000002i−2i2−22−2i2−i2i2−i20000
χ242-2-2222-2-22-22-2000000000000002i−2i−22−22−i2i2−i2i20000
χ252-2-2222-2-22-22-200000000000000−2i2i2−22−2−i2i2−i2i20000
χ262-2-2222-2-22-22-200000000000000−2i2i−22−22i2−i2i2−i20000
χ272-2-2222-2-2-22-220000000000002i−2i002−2−22i2−i2−i2i20000
χ282-2-2222-2-2-22-220000000000002i−2i00−222−2−i2i2i2−i20000
χ292-2-2222-2-2-22-22000000000000−2i2i002−2−22−i2i2i2−i20000
χ302-2-2222-2-2-22-22000000000000−2i2i00−222−2i2−i2−i2i20000
χ3144-4-44i−4i4i−4i000000002-200002i−2i0000000000000000
χ3244-4-44i−4i4i−4i00000000-220000−2i2i0000000000000000
χ3344-4-4−4i4i−4i4i000000002-20000−2i2i0000000000000000
χ3444-4-4−4i4i−4i4i00000000-2200002i−2i0000000000000000
χ354-44-44i−4i−4i4i00000000002i−2i2-2000000000000000000
χ364-44-44i−4i−4i4i0000000000−2i2i-22000000000000000000
χ374-44-4−4i4i4i−4i00000000002i−2i-22000000000000000000
χ384-44-4−4i4i4i−4i0000000000−2i2i2-2000000000000000000
χ394-4-44-4-4444-4-440000000000000000000000000000
χ404-4-44-4-444-444-40000000000000000000000000000

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