Extensions 1→N→G→Q→1 with N=C₂ and Q=C₃³⋊₁₅D₄

Direct product G=N×Q with N=C₂ and Q=C₃³⋊₁₅D₄

		d	ρ	Label	ID
C₂×C₃³⋊₁₅D₄		216		C2xC3^3:15D4	432,729

Non-split extensions G=N.Q with N=C₂ and Q=C₃³⋊₁₅D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₃³⋊₁₅D₄) = C₆².₁₄₆D₆	central extension (φ=1)	432		C2.1(C3^3:15D4)	432,504
C₂.₂(C₃³⋊₁₅D₄) = C₆².₁₄₈D₆	central extension (φ=1)	216		C2.2(C3^3:15D4)	432,506
C₂.₃(C₃³⋊₁₅D₄) = C₆³.C₂	central extension (φ=1)	216		C2.3(C3^3:15D4)	432,511
C₂.₄(C₃³⋊₁₅D₄) = C₃³⋊₁₅D₈	central stem extension (φ=1)	216		C2.4(C3^3:15D4)	432,507
C₂.₅(C₃³⋊₁₅D₄) = C₃³⋊₂₄SD₁₆	central stem extension (φ=1)	216		C2.5(C3^3:15D4)	432,508
C₂.₆(C₃³⋊₁₅D₄) = C₃³⋊₂₇SD₁₆	central stem extension (φ=1)	216		C2.6(C3^3:15D4)	432,509
C₂.₇(C₃³⋊₁₅D₄) = C₃³⋊₁₅Q₁₆	central stem extension (φ=1)	432		C2.7(C3^3:15D4)	432,510

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁