Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂₇⋊D₄

Direct product G=N×Q with N=C₂ and Q=C₂₇⋊D₄

		d	ρ	Label	ID
C₂×C₂₇⋊D₄		216		C2xC27:D4	432,52

Non-split extensions G=N.Q with N=C₂ and Q=C₂₇⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂₇⋊D₄) = Dic₂₇⋊C₄	central extension (φ=1)	432		C2.1(C27:D4)	432,12
C₂.₂(C₂₇⋊D₄) = D₅₄⋊C₄	central extension (φ=1)	216		C2.2(C27:D4)	432,14
C₂.₃(C₂₇⋊D₄) = C₅₄.D₄	central extension (φ=1)	216		C2.3(C27:D4)	432,19
C₂.₄(C₂₇⋊D₄) = D₄.D₂₇	central stem extension (φ=1)	216	4-	C2.4(C27:D4)	432,15
C₂.₅(C₂₇⋊D₄) = D₄⋊D₂₇	central stem extension (φ=1)	216	4+	C2.5(C27:D4)	432,16
C₂.₆(C₂₇⋊D₄) = C₂₇⋊Q₁₆	central stem extension (φ=1)	432	4-	C2.6(C27:D4)	432,17
C₂.₇(C₂₇⋊D₄) = Q₈⋊₂D₂₇	central stem extension (φ=1)	216	4+	C2.7(C27:D4)	432,18

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