Extensions 1→N→G→Q→1 with N=C₇ and Q=C₃×D₄

Direct product G=N×Q with N=C₇ and Q=C₃×D₄

		d	ρ	Label	ID
D₄×C₂₁		84	2	D4xC21	168,40

Semidirect products G=N:Q with N=C₇ and Q=C₃×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₃×D₄) = C₄⋊F₇	φ: C₃×D₄/C₄ → C₆ ⊆ Aut C₇	28	6+	C7:1(C3xD4)	168,9
C₇⋊₂(C₃×D₄) = Dic₇⋊C₆	φ: C₃×D₄/C₂² → C₆ ⊆ Aut C₇	28	6	C7:2(C3xD4)	168,11
C₇⋊₃(C₃×D₄) = D₄×C₇⋊C₃	φ: C₃×D₄/D₄ → C₃ ⊆ Aut C₇	28	6	C7:3(C3xD4)	168,20
C₇⋊₄(C₃×D₄) = C₃×D₂₈	φ: C₃×D₄/C₁₂ → C₂ ⊆ Aut C₇	84	2	C7:4(C3xD4)	168,26
C₇⋊₅(C₃×D₄) = C₃×C₇⋊D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₇	84	2	C7:5(C3xD4)	168,28

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