Finite Group Databasebeta

← Group #10458

Character table — Group #10458

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122222222224444444444888888881616161616161616
order1222224444444444888888884444888824888888
χ11111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ9222222222-2-22-2-2-2-20000000000000000002i−2i0000
χ10222222222-2-22-2-2-2-2000000000000000000−2i2i0000
χ11222222-2-2-222-222-2-20000000022-2-2000000000000
χ12222222-2-2-222-222-2-200000000-2-222000000000000
χ13222222-2-2-2-2-2-2-2-22200000000000000000000002i−2i
χ14222222-2-2-2-2-2-2-2-2220000000000000000000000−2i2i
χ152222-2-222-22-2-22-22-20000000000002i2i−2i−2i00000000
χ162222-2-222-22-2-22-22-2000000000000−2i−2i2i2i00000000
χ172222-2-222-2-22-2-22-22000000000000000000002-200
χ182222-2-222-2-22-2-22-2200000000000000000000-2200
χ192222-2-2-2-222-222-2-222222-2-2-2-20000000000000000
χ202222-2-2-2-222-222-2-22-2-2-2-222220000000000000000
χ212222-2-2-2-22-222-222-200000000000000002-2000000
χ222222-2-2-2-22-222-222-20000000000000000-22000000
χ232-2-222-2000-2202-20022−2−222−2−22i−2i00i2−i2i2−i200000000
χ242-2-222-2000-2202-20022−2−222−2−2−2i2i00−i2i2−i2i200000000
χ252-2-222-2000-2202-200−2−222−2−2222i−2i00−i2i2−i2i200000000
χ262-2-222-2000-2202-200−2−222−2−222−2i2i00i2−i2i2−i200000000
χ272-2-22-22000-2-20220022−2−2−2−222002-22−2−2200000000
χ282-2-22-22000-2-20220022−2−2−2−22200-22−222−200000000
χ292-2-22-22000-2-202200−2−22222−2−2002-2−222−200000000
χ302-2-22-22000-2-202200−2−22222−2−200-222−2−2200000000
χ3144-4-40000400-40000000022−2222−220000000000000000
χ3244-4-40000400-400000000−2222−22220000000000000000
χ3344-4-40000-400400002i2−2i22i2−2i200000000000000000000
χ3444-4-40000-40040000−2i22i2−2i22i200000000000000000000
χ354-44-4004i−4i000000002i−2i−2i2i2-2-220000000000000000
χ364-44-4004i−4i00000000−2i2i2i−2i-222-20000000000000000
χ374-44-400−4i4i000000002i−2i−2i2i-222-20000000000000000
χ384-44-400−4i4i00000000−2i2i2i−2i2-2-220000000000000000
χ394-4-444-40004-40-4400000000000000000000000000
χ404-4-44-44000440-4-400000000000000000000000000

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