Finite Group Databasebeta

← Group #10163

Character table — Group #10163

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122222222224444444444888888881616161616161616
order1222224444444444888888888888888844444488
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
χ92222222-2-222-2-22-2-200000000000022-2-200000000
χ102222222-2-222-2-22-2-2000000000000-2-22200000000
χ11222222-222-2-2-2-2-22-200000000000000000000002i−2i
χ12222222-222-2-2-2-2-22-20000000000000000000000−2i2i
χ13222222-2-2-2-2-222-2-2200000000000000002-2000000
χ14222222-2-2-2-2-222-2-220000000000000000-22000000
χ152222-2-2222-2-2-2-22-222222-2-2-2-20000000000000000
χ162222-2-2222-2-2-2-22-22-2-2-2-222220000000000000000
χ172222-2-22-2-2-2-22222-20000000022-2-2000000000000
χ182222-2-22-2-2-2-22222-200000000-2-222000000000000
χ192222-2-2-2222222-2-2-2000000000000000000002-200
χ202222-2-2-2222222-2-2-200000000000000000000-2200
χ212222-2-2-2-2-222-2-2-2220000000000000000002-20000
χ222222-2-2-2-2-222-2-2-222000000000000000000-220000
χ2322-2-22-22002-200-20022−2−222−2−22−22−2002-200000000
χ2422-2-22-22002-200-20022−2−222−2−2−22−2200-2200000000
χ2522-2-22-22002-200-200−2−222−2−2222−22−200-2200000000
χ2622-2-22-22002-200-200−2−222−2−222−22−22002-200000000
χ2722-2-2-22200-2200-20022−2−2−2−2222−2−222-20000000000
χ2822-2-2-22200-2200-20022−2−2−2−222−222−2-220000000000
χ2922-2-2-22200-2200-200−2−22222−2−22−2−22-220000000000
χ3022-2-2-22200-2200-200−2−22222−2−2−222−22-20000000000
χ3144-4-44-4-400-4400400000000000000000000000000
χ3244-4-4-44-4004-400400000000000000000000000000
χ334-44-400000004-40002i−2i2i−2i2i−2i2i−2i0000000000000000
χ344-44-400000004-4000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ354-44-40000000-440002i−2i2i−2i−2i2i−2i2i0000000000000000
χ364-44-40000000-44000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ374-4-440004-4000000000002i2−2i2−2i22i20000000000000000
χ384-4-440004-400000000000−2i22i22i2−2i20000000000000000
χ394-4-44000-4400000002i2−2i2−2i22i200000000000000000000
χ404-4-44000-440000000−2i22i22i2−2i200000000000000000000

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