Extensions 1→N→G→Q→1 with N=C₄ and Q=C₇×D₇

Direct product G=N×Q with N=C₄ and Q=C₇×D₇

		d	ρ	Label	ID
D₇×C₂₈		56	2	D7xC28	392,24

Semidirect products G=N:Q with N=C₄ and Q=C₇×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₇×D₇) = C₇×D₂₈	φ: C₇×D₇/C₇² → C₂ ⊆ Aut C₄	56	2	C4:(C7xD7)	392,25

Non-split extensions G=N.Q with N=C₄ and Q=C₇×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₇×D₇) = C₇×Dic₁₄	φ: C₇×D₇/C₇² → C₂ ⊆ Aut C₄	56	2	C4.(C7xD7)	392,23
C₄.₂(C₇×D₇) = C₇×C₇⋊C₈	central extension (φ=1)	56	2	C4.2(C7xD7)	392,14

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Extensions 1→N→G→Q→1 with N=C4 and Q=C7×D7