Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×C₇⋊C₃

Direct product G=N×Q with N=C₄ and Q=C₂×C₇⋊C₃

		d	ρ	Label	ID
C₂×C₄×C₇⋊C₃		56		C2xC4xC7:C3	168,19

Semidirect products G=N:Q with N=C₄ and Q=C₂×C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂×C₇⋊C₃) = D₄×C₇⋊C₃	φ: C₂×C₇⋊C₃/C₇⋊C₃ → C₂ ⊆ Aut C₄	28	6	C4:(C2xC7:C3)	168,20

Non-split extensions G=N.Q with N=C₄ and Q=C₂×C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₂×C₇⋊C₃) = Q₈×C₇⋊C₃	φ: C₂×C₇⋊C₃/C₇⋊C₃ → C₂ ⊆ Aut C₄	56	6	C4.(C2xC7:C3)	168,21
C₄.₂(C₂×C₇⋊C₃) = C₈×C₇⋊C₃	central extension (φ=1)	56	3	C4.2(C2xC7:C3)	168,2

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Extensions 1→N→G→Q→1 with N=C4 and Q=C2×C7⋊C3