Finite Group Databasebeta

← Group #414

Character table — Group #414

Order 64.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28
size1111222222444411112222224444
order1222448888224422224488882244
χ11111111111111111111111111111
χ21111111111-1-1-1-11111111111-1-1-1-1
χ3111111-1-1-1-111-1-1111111-1-1-1-111-1-1
χ4111111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ51-11-11-1ii−i−i1-1i−i1-11-11-1ii−i−i1-1i−i
χ61-11-11-1ii−i−i-11−ii1-11-11-1ii−i−i-11−ii
χ71-11-11-1−i−iii1-1−ii1-11-11-1−i−iii1-1−ii
χ81-11-11-1−i−iii-11i−i1-11-11-1−i−iii-11i−i
χ92222-2-2000000002222-2-200000000
χ1022-2-200i2−i2i2−i2000022-2-200i2−i2i2−i20000
χ1122-2-200−i2i2−i2i2000022-2-200−i2i2−i2i20000
χ122-22-2-22000000002-22-2-2200000000
χ132-2-22002−2−2200002-2-22002−2−220000
χ142-2-2200−222−200002-2-2200−222−20000
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ161111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ17111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ18111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1
χ191-11-11-1ii−i−i1-1i−i-11-11-11−i−iii-11−ii
χ201-11-11-1ii−i−i-11−ii-11-11-11−i−iii1-1i−i
χ211-11-11-1−i−iii1-1−ii-11-11-11ii−i−i-11i−i
χ221-11-11-1−i−iii-11i−i-11-11-11ii−i−i1-1−ii
χ232222-2-200000000-2-2-2-22200000000
χ2422-2-200i2−i2i2−i20000-2-22200−i2i2−i2i20000
χ2522-2-200−i2i2−i2i20000-2-22200i2−i2i2−i20000
χ262-22-2-2200000000-22-222-200000000
χ272-2-22002−2−220000-222-200−222−20000
χ282-2-2200−222−20000-222-2002−2−220000

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