Extensions 1→N→G→Q→1 with N=C₄₂ and Q=C₄

Direct product G=N×Q with N=C₄₂ and Q=C₄

		d	ρ	Label	ID
C₂×C₈₄		168		C2xC84	168,39

Semidirect products G=N:Q with N=C₄₂ and Q=C₄

extension	φ:Q→Aut N	d	Label	ID
C₄₂⋊₁C₄ = C₂×Dic₂₁	φ: C₄/C₂ → C₂ ⊆ Aut C₄₂	168	C42:1C4	168,37
C₄₂⋊₂C₄ = C₆×Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₄₂	168	C42:2C4	168,27
C₄₂⋊₃C₄ = Dic₃×C₁₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄₂	168	C42:3C4	168,32

Non-split extensions G=N.Q with N=C₄₂ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₂.₁C₄ = C₂₁⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₄₂	168	2	C42.1C4	168,5
C₄₂.₂C₄ = C₃×C₇⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₄₂	168	2	C42.2C4	168,4
C₄₂.₃C₄ = C₇×C₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₄₂	168	2	C42.3C4	168,3

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Extensions 1→N→G→Q→1 with N=C42 and Q=C4