Finite Group Databasebeta

← Group #1926

Character table — Group #1926

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size11111111222222224444444444444444448888
order12222222444444444444444444888888882244
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
χ9111-1-11-1-11-1ii−i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−i
χ10111-1-11-1-11-1ii−i−i1-1i−i11-1-1ii−i−i-1-111−i−iii-11−ii
χ11111-1-11-1-11-1ii−i−i1-1i−i-1-111−i−iii11-1-1ii−i−i-11−ii
χ12111-1-11-1-11-1ii−i−i1-1i−i-1-111−i−iii-1-111−i−iii1-1i−i
χ13111-1-11-1-11-1−i−iii1-1−ii11-1-1−i−iii11-1-1−i−iii1-1−ii
χ14111-1-11-1-11-1−i−iii1-1−ii11-1-1−i−iii-1-111ii−i−i-11i−i
χ15111-1-11-1-11-1−i−iii1-1−ii-1-111ii−i−i11-1-1−i−iii-11i−i
χ16111-1-11-1-11-1−i−iii1-1−ii-1-111ii−i−i-1-111ii−i−i1-1−ii
χ1722222222-2-22222-2-2-2-200000000000000000000
χ1822222222-2-2-2-2-2-2-2-22200000000000000000000
χ19222-2-22-2-2-222i2i−2i−2i-22−2i2i00000000000000000000
χ20222-2-22-2-2-22−2i−2i2i2i-222i−2i00000000000000000000
χ2122-22-2-22-2002-22-2000000000000i2−i2i2−i2i2−i2i2−i20000
χ2222-22-2-22-2002-22-2000000000000−i2i2−i2i2−i2i2−i2i20000
χ2322-22-2-22-200-22-22000000000000i2−i2i2−i2−i2i2−i2i20000
χ2422-22-2-22-200-22-22000000000000−i2i2−i2i2i2−i2i2−i20000
χ2522-2-22-2-22002i−2i−2i2i000000000000i2−i2−i2i2−222−20000
χ2622-2-22-2-22002i−2i−2i2i000000000000−i2i2i2−i22−2−220000
χ2722-2-22-2-2200−2i2i2i−2i000000000000i2−i2−i2i22−2−220000
χ2822-2-22-2-2200−2i2i2i−2i000000000000−i2i2i2−i2−222−20000
χ292-2222-2-2-22-20000-22002i−2i2i−2i0000000000000000
χ302-2222-2-2-22-20000-2200−2i2i−2i2i0000000000000000
χ312-2222-2-2-2-2200002-20000002i−2i2i−2i000000000000
χ322-2222-2-2-2-2200002-2000000−2i2i−2i2i000000000000
χ332-22-2-2-222220000-2-2002i−2i−2i2i0000000000000000
χ342-22-2-2-222220000-2-200−2i2i2i−2i0000000000000000
χ352-22-2-2-222-2-20000220000002-2-22000000000000
χ362-22-2-2-222-2-2000022000000-222-2000000000000
χ374-4-44-44-44000000000000000000000000000000
χ384-4-4-4444-4000000000000000000000000000000

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