Finite Group Databasebeta

← Group #73074

Character table — Group #73074

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31
size11222446666888812121616161616162424242424242424
order12222444444366644661212121224448888
χ11111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-1
χ311111-1-111111111-1-111-1-1-1-111-1-111-1-1
χ411111-1-111111111-1-111-1-1-1-1-1-111-1-111
χ5111-1-1i−i1-11-111-1-1i−i1-1ii−i−i1-1i−i1-1i−i
χ6111-1-1i−i1-11-111-1-1i−i1-1ii−i−i-11−ii-11−ii
χ7111-1-1−ii1-11-111-1-1−ii1-1−i−iii1-1−ii1-1−ii
χ8111-1-1−ii1-11-111-1-1−ii1-1−i−iii-11i−i-11i−i
χ922222222222-1-1-1-122-1-1-1-1-1-100000000
χ1022222-2-22222-1-1-1-1-2-2-1-1111100000000
χ11222-2-22i−2i2-22-2-1-1112i−2i-11−i−iii00000000
χ12222-2-2−2i2i2-22-2-1-111−2i2i-11ii−i−i00000000
χ1322-22-200-222-2222200-2-2000000000000
χ1422-22-200-222-2-1-1-1-10011−i3i3−i3i300000000
χ1522-22-200-222-2-1-1-1-10011i3−i3i3−i300000000
χ1622-2-2200-2-22222-2-200-22000000000000
χ1722-2-2200-2-222-1-111001-13−3−3300000000
χ1822-2-2200-2-222-1-111001-1−333−300000000
χ193333333-1-1-1-10000-1-10000001111-1-1-1-1
χ203333333-1-1-1-10000-1-1000000-1-1-1-11111
χ2133333-3-3-1-1-1-100001100000011-1-1-1-111
χ2233333-3-3-1-1-1-1000011000000-1-11111-1-1
χ23333-3-33i−3i-11-110000−ii0000001-1i−i-11−ii
χ24333-3-33i−3i-11-110000−ii000000-11−ii1-1i−i
χ25333-3-3−3i3i-11-110000i−i0000001-1−ii-11i−i
χ26333-3-3−3i3i-11-110000i−i000000-11i−i1-1−ii
χ2766-66-6002-2-2200000000000000000000
χ2866-6-660022-2-200000000000000000000
χ298-80000000002-2−2i32i30000000000000000
χ308-80000000002-22i3−2i30000000000000000
χ318-8000000000-44000000000000000000

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