Finite Group Databasebeta

← Group #11722229

Character table — Group #11722229

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28
size11229918181818242436363636363636363636545454547272
order123622446636444412121212121288881212
χ11111111111111111111111111111
χ211111111111111-1-111-1-1-1-1-1-1-1-111
χ3111111111111-1-111111111-1-1-1-1-1-1
χ4111111111111-1-1-1-111-1-1-1-11111-1-1
χ51-11-1-111-1-111-1i−i1-11-111-1-1ii−i−ii−i
χ61-11-1-111-1-111-1i−i-111-1-1-111−i−iiii−i
χ71-11-1-111-1-111-1−ii1-11-111-1-1−i−iii−ii
χ81-11-1-111-1-111-1−ii-111-1-1-111ii−i−i−ii
χ9222222-2-222220000-2-20000000000
χ102222-2-200-2-2220000000000−i2i2−i2i200
χ112222-2-200-2-2220000000000i2−i2i2−i200
χ122-22-22-2002-22-200000000002−2−2200
χ132-22-22-2002-22-20000000000−222−200
χ142-22-2-22-22-222-20000-220000000000
χ1566-3-3-2-22211000022-1-1-1-1-1-1000000
χ1666-3-3-2-222110000-2-2-1-11111000000
χ1766-3-3-2-2-2-21100000011−i3i3−i3i3000000
χ1866-3-3-2-2-2-21100000011i3−i3i3−i3000000
χ196-6-332-22-2-1100002-2-11-1-111000000
χ206-6-332-22-2-110000-22-1111-1-1000000
χ216-6-332-2-22-110000001-1−i3i3i3−i3000000
χ226-6-332-2-22-110000001-1i3−i3−i3i3000000
χ238888000000-1-122000000000000-1-1
χ248888000000-1-1-2-200000000000011
χ258-88-8000000-112i−2i000000000000−ii
χ268-88-8000000-11−2i2i000000000000i−i
χ271212-6-64400-2-2000000000000000000
χ2812-12-66-44002-2000000000000000000

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