Extensions 1→N→G→Q→1 with N=C₇² and Q=C₂×C₄

Direct product G=N×Q with N=C₇² and Q=C₂×C₄

		d	ρ	Label	ID
C₁₄×C₂₈		392		C14xC28	392,33

Semidirect products G=N:Q with N=C₇² and Q=C₂×C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇²⋊₁(C₂×C₄) = C₂×C₇²⋊C₄	φ: C₂×C₄/C₂ → C₄ ⊆ Aut C₇²	28	4+	C7^2:1(C2xC4)	392,40
C₇²⋊₂(C₂×C₄) = D₇×Dic₇	φ: C₂×C₄/C₂ → C₂² ⊆ Aut C₇²	56	4-	C7^2:2(C2xC4)	392,18
C₇²⋊₃(C₂×C₄) = Dic₇⋊₂D₇	φ: C₂×C₄/C₂ → C₂² ⊆ Aut C₇²	28	4+	C7^2:3(C2xC4)	392,19
C₇²⋊₄(C₂×C₄) = D₇×C₂₈	φ: C₂×C₄/C₄ → C₂ ⊆ Aut C₇²	56	2	C7^2:4(C2xC4)	392,24
C₇²⋊₅(C₂×C₄) = C₄×C₇⋊D₇	φ: C₂×C₄/C₄ → C₂ ⊆ Aut C₇²	196		C7^2:5(C2xC4)	392,29
C₇²⋊₆(C₂×C₄) = C₁₄×Dic₇	φ: C₂×C₄/C₂² → C₂ ⊆ Aut C₇²	56		C7^2:6(C2xC4)	392,26
C₇²⋊₇(C₂×C₄) = C₂×C₇⋊Dic₇	φ: C₂×C₄/C₂² → C₂ ⊆ Aut C₇²	392		C7^2:7(C2xC4)	392,31

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