Finite Group Databasebeta

← Group #73049

Character table — Group #73049

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32
size112223344666888812121616161616162424242424242424
order122222244222366644661212121224444444
χ111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111-1-11111111-1-111-1-1-1-111-1-111-1-1
χ41111111-1-11111111-1-111-1-1-1-1-1-111-1-111
χ5111-1-111i−i1-1-111-1-1i−i1-1ii−i−i1-1i−i1-1i−i
χ6111-1-111i−i1-1-111-1-1i−i1-1ii−i−i-11−ii-11−ii
χ7111-1-111−ii1-1-111-1-1−ii1-1−i−iii1-1−ii1-1−ii
χ8111-1-111−ii1-1-111-1-1−ii1-1−i−iii-11i−i-11i−i
χ9222222222222-1-1-1-122-1-1-1-1-1-100000000
χ102222222-2-2222-1-1-1-1-2-2-1-1111100000000
χ11222-2-2222i−2i2-2-2-1-1112i−2i-11−i−iii00000000
χ12222-2-222−2i2i2-2-2-1-111−2i2i-11ii−i−i00000000
χ1322-22-22200-22-2222200-2-2000000000000
χ1422-22-22200-22-2-1-1-1-10011−i3i3−i3i300000000
χ1522-22-22200-22-2-1-1-1-10011i3−i3i3−i300000000
χ1622-2-222200-2-2222-2-200-22000000000000
χ1722-2-222200-2-22-1-111001-13−3−3300000000
χ1822-2-222200-2-22-1-111001-1−333−300000000
χ1933333-1-133-1-1-10000-1-10000001111-1-1-1-1
χ2033333-1-133-1-1-10000-1-1000000-1-1-1-11111
χ2133333-1-1-3-3-1-1-100001100000011-1-1-1-111
χ2233333-1-1-3-3-1-1-1000011000000-1-11111-1-1
χ23333-3-3-1-13i−3i-1110000−ii0000001-1i−i-11−ii
χ24333-3-3-1-13i−3i-1110000−ii000000-11−ii1-1i−i
χ25333-3-3-1-1−3i3i-1110000i−i0000001-1−ii-11i−i
χ26333-3-3-1-1−3i3i-1110000i−i000000-11i−i1-1−ii
χ274-40004-4000004-4000000000000000000
χ284-40004-400000-22−2i32i30000000000000000
χ294-40004-400000-222i3−2i30000000000000000
χ3066-66-6-2-2002-2200000000000000000000
χ3166-6-66-2-20022-200000000000000000000
χ3212-12000-440000000000000000000000000

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