Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄²⋊₄C₄

Direct product G=N×Q with N=C₃ and Q=C₄²⋊₄C₄

		d	ρ	Label	ID
C₃×C₄²⋊₄C₄		192		C3xC4^2:4C4	192,809

Semidirect products G=N:Q with N=C₃ and Q=C₄²⋊₄C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄²⋊₄C₄) = Dic₃.₅C₄²	φ: C₄²⋊₄C₄/C₂.C₄² → C₂ ⊆ Aut C₃	192		C3:1(C4^2:4C4)	192,207
C₃⋊₂(C₄²⋊₄C₄) = C₄²⋊₆Dic₃	φ: C₄²⋊₄C₄/C₂×C₄² → C₂ ⊆ Aut C₃	192		C3:2(C4^2:4C4)	192,491

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁