Extensions 1→N→G→Q→1 with N=C₂ and Q=C₄×D₂₇

Direct product G=N×Q with N=C₂ and Q=C₄×D₂₇

		d	ρ	Label	ID
C₂×C₄×D₂₇		216		C2xC4xD27	432,44

Non-split extensions G=N.Q with N=C₂ and Q=C₄×D₂₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₄×D₂₇) = C₈×D₂₇	central extension (φ=1)	216	2	C2.1(C4xD27)	432,5
C₂.₂(C₄×D₂₇) = C₄×Dic₂₇	central extension (φ=1)	432		C2.2(C4xD27)	432,11
C₂.₃(C₄×D₂₇) = C₈⋊D₂₇	central stem extension (φ=1)	216	2	C2.3(C4xD27)	432,6
C₂.₄(C₄×D₂₇) = Dic₂₇⋊C₄	central stem extension (φ=1)	432		C2.4(C4xD27)	432,12
C₂.₅(C₄×D₂₇) = D₅₄⋊C₄	central stem extension (φ=1)	216		C2.5(C4xD27)	432,14

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁