Finite Group Databasebeta

← Group #1676

Character table — Group #1676

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29
size1111222222224444444444488881616
order12224444888844444888888888844
χ111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1
χ3111111111111-1-11-1-111-1-1-1-11111-1-1
χ4111111111111-1-11-1-111-1-1-1-1-1-1-1-111
χ511111111-1-1-1-111111-1-1-1-1-1-111-1-11-1
χ611111111-1-1-1-111111-1-1-1-1-1-1-1-111-11
χ711111111-1-1-1-1-1-11-1-1-1-1111111-1-1-11
χ811111111-1-1-1-1-1-11-1-1-1-11111-1-1111-1
χ922222-2-22000022-2-2-2000000000000
χ1022222-2-220000-2-2-222000000000000
χ112222-222-2222200-200-2-20000000000
χ122222-222-2-2-2-2-200-200220000000000
χ132222-2-2-2-2000000200002i2i−2i−2i000000
χ142222-2-2-2-200000020000−2i−2i2i2i000000
χ1522-2-202-2022-2-2000000000002−22−200
χ1622-2-202-2022-2-200000000000−22−2200
χ1722-2-202-20-2-222000000000002−2−2200
χ1822-2-202-20-2-22200000000000−222−200
χ192-22-2200-22−22−22-20002−22−22−2000000
χ202-22-2200-22−22−2-220002−2−22−22000000
χ212-22-2200-2−22−222-2000−22−22−22000000
χ222-22-2200-2−22−22-22000−222−22−2000000
χ232-22-2-20022−22−20002i−2i−22i2−i2−i2i2000000
χ242-22-2-20022−22−2000−2i2i−22−i2i2i2−i2000000
χ252-22-2-2002−22−220002i−2i2−2−i2i2i2−i2000000
χ262-22-2-2002−22−22000−2i2i2−2i2−i2−i2i2000000
χ2744-4-40-440000000000000000000000
χ284-4-44000022−22−222200000000000000000
χ294-4-440000−222222−2200000000000000000

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