Finite Group Databasebeta

← Group #73201

Character table — Group #73201

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24
size11338881212121212121616161624323232323232
order12222244444443366466661212
χ1111111111111111111111111
χ21111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32
χ31111111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32
χ411111-1-1-1-111-1-1111111-11-1-1-1
χ511111-1-1-1-111-1-1−1−i32−1+i32−1−i32−1+i321−1−i321+i32−1+i321−i321+i321−i32
χ611111-1-1-1-111-1-1−1+i32−1−i32−1+i32−1−i321−1+i321−i32−1−i321+i321−i321+i32
χ71111-11-1-1-1-1-11111111-11-11-1-1
χ81111-11-1-1-1-1-111−1−i32−1+i32−1−i32−1+i3211+i32−1−i321−i32−1+i321+i321−i32
χ91111-11-1-1-1-1-111−1+i32−1−i32−1+i32−1−i3211−i32−1+i321+i32−1−i321−i321+i32
χ101111-1-1111-1-1-1-111111-1-1-1-111
χ111111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i3211+i321+i321−i321−i32−1−i32−1+i32
χ121111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i3211−i321−i321+i321+i32−1+i32−1−i32
χ133333333-1-1-1-1-1-10000-1000000
χ1433333-3-311-1-1110000-1000000
χ153333-33-31111-1-10000-1000000
χ163333-3-33-1-111110000-1000000
χ174-44-4000000000-2-2220000000
χ184-44-40000000001+i31−i3−1−i3−1+i30000000
χ194-44-40000000001−i31+i3−1+i3−1−i30000000
χ206-6-220002-22i−2i2i−2i00000000000
χ216-6-220002-2−2i2i−2i2i00000000000
χ226-6-22000-222i−2i−2i2i00000000000
χ236-6-22000-22−2i2i2i−2i00000000000
χ241212-4-400000000000000000000

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