Finite Group Databasebeta

← Group #1918

Character table — Group #1918

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size11111111222222224444444444444444448888
order12222222444444444444444444888888884444
χ111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ71111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ911-11-1-1-111-1ii−i−i1-1i−iii−i−i11-1-111-1-1ii−i−ii−i1-1
χ1011-11-1-1-111-1ii−i−i1-1i−iii−i−i11-1-1-1-111−i−iii−ii-11
χ1111-11-1-1-111-1ii−i−i1-1i−i−i−iii-1-11111-1-1ii−i−i−ii-11
χ1211-11-1-1-111-1ii−i−i1-1i−i−i−iii-1-111-1-111−i−iiii−i1-1
χ1311-11-1-1-111-1−i−iii1-1−iiii−i−i-1-11111-1-1−i−iiii−i-11
χ1411-11-1-1-111-1−i−iii1-1−iiii−i−i-1-111-1-111ii−i−i−ii1-1
χ1511-11-1-1-111-1−i−iii1-1−ii−i−iii11-1-111-1-1−i−iii−ii1-1
χ1611-11-1-1-111-1−i−iii1-1−ii−i−iii11-1-1-1-111ii−i−ii−i-11
χ1722222222-2-22222-2-2-2-200000000000000000000
χ1822222222-2-2-2-2-2-2-2-22200000000000000000000
χ1922-22-2-2-22-222i2i−2i−2i-22−2i2i00000000000000000000
χ2022-22-2-2-22-22−2i−2i2i2i-222i−2i00000000000000000000
χ212-222-22-2-2220000-2-2002-22-20000000000000000
χ222-222-22-2-2220000-2-200-22-220000000000000000
χ232-222-22-2-2-2-20000220000002i−2i2i−2i000000000000
χ242-222-22-2-2-2-2000022000000−2i2i−2i2i000000000000
χ252-22-22-2-22002i−2i2i−2i0000000000002−22−2i2−i2i2−i20000
χ262-22-22-2-22002i−2i2i−2i000000000000−22−22−i2i2−i2i20000
χ272-22-22-2-2200−2i2i−2i2i0000000000002−22−2−i2i2−i2i20000
χ282-22-22-2-2200−2i2i−2i2i000000000000−22−22i2−i2i2−i20000
χ292-2-222-22-22-20000-22002i−2i−2i2i0000000000000000
χ302-2-222-22-22-20000-2200−2i2i2i−2i0000000000000000
χ312-2-222-22-2-2200002-20000002i−2i−2i2i000000000000
χ322-2-222-22-2-2200002-2000000−2i2i2i−2i000000000000
χ332-2-2-2-2222002-2-220000000000002−2−222−2−220000
χ342-2-2-2-2222002-2-22000000000000−222−2−222−20000
χ352-2-2-2-222200-222-20000000000002−2−22−222−20000
χ362-2-2-2-222200-222-2000000000000−222−22−2−220000
χ37444-4-4-44-4000000000000000000000000000000
χ3844-4-444-4-4000000000000000000000000000000

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