Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂²×D₂₇

Direct product G=N×Q with N=C₂ and Q=C₂²×D₂₇

		d	ρ	Label	ID
C₂³×D₂₇		216		C2^3xD27	432,227

Non-split extensions G=N.Q with N=C₂ and Q=C₂²×D₂₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂²×D₂₇) = C₂×C₄×D₂₇	central extension (φ=1)	216		C2.1(C2^2xD27)	432,44
C₂.₂(C₂²×D₂₇) = C₂²×Dic₂₇	central extension (φ=1)	432		C2.2(C2^2xD27)	432,51
C₂.₃(C₂²×D₂₇) = C₂×Dic₅₄	central stem extension (φ=1)	432		C2.3(C2^2xD27)	432,43
C₂.₄(C₂²×D₂₇) = C₂×D₁₀₈	central stem extension (φ=1)	216		C2.4(C2^2xD27)	432,45
C₂.₅(C₂²×D₂₇) = D₁₀₈⋊₅C₂	central stem extension (φ=1)	216	2	C2.5(C2^2xD27)	432,46
C₂.₆(C₂²×D₂₇) = D₄×D₂₇	central stem extension (φ=1)	108	4+	C2.6(C2^2xD27)	432,47
C₂.₇(C₂²×D₂₇) = D₄⋊₂D₂₇	central stem extension (φ=1)	216	4-	C2.7(C2^2xD27)	432,48
C₂.₈(C₂²×D₂₇) = Q₈×D₂₇	central stem extension (φ=1)	216	4-	C2.8(C2^2xD27)	432,49
C₂.₉(C₂²×D₂₇) = Q₈⋊₃D₂₇	central stem extension (φ=1)	216	4+	C2.9(C2^2xD27)	432,50
C₂.₁₀(C₂²×D₂₇) = C₂×C₂₇⋊D₄	central stem extension (φ=1)	216		C2.10(C2^2xD27)	432,52

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