Extensions 1→N→G→Q→1 with N=C₄ and Q=D₃₈

Direct product G=N×Q with N=C₄ and Q=D₃₈

		d	ρ	Label	ID
C₂×C₄×D₁₉		152		C2xC4xD19	304,28

Semidirect products G=N:Q with N=C₄ and Q=D₃₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁D₃₈ = D₄×D₁₉	φ: D₃₈/D₁₉ → C₂ ⊆ Aut C₄	76	4+	C4:1D38	304,31
C₄⋊₂D₃₈ = C₂×D₇₆	φ: D₃₈/C₃₈ → C₂ ⊆ Aut C₄	152		C4:2D38	304,29

Non-split extensions G=N.Q with N=C₄ and Q=D₃₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁D₃₈ = D₄⋊D₁₉	φ: D₃₈/D₁₉ → C₂ ⊆ Aut C₄	152	4+	C4.1D38	304,14
C₄.₂D₃₈ = D₄.D₁₉	φ: D₃₈/D₁₉ → C₂ ⊆ Aut C₄	152	4-	C4.2D38	304,15
C₄.₃D₃₈ = Q₈⋊D₁₉	φ: D₃₈/D₁₉ → C₂ ⊆ Aut C₄	152	4+	C4.3D38	304,16
C₄.₄D₃₈ = C₁₉⋊Q₁₆	φ: D₃₈/D₁₉ → C₂ ⊆ Aut C₄	304	4-	C4.4D38	304,17
C₄.₅D₃₈ = D₄⋊₂D₁₉	φ: D₃₈/D₁₉ → C₂ ⊆ Aut C₄	152	4-	C4.5D38	304,32
C₄.₆D₃₈ = Q₈×D₁₉	φ: D₃₈/D₁₉ → C₂ ⊆ Aut C₄	152	4-	C4.6D38	304,33
C₄.₇D₃₈ = D₇₆⋊C₂	φ: D₃₈/D₁₉ → C₂ ⊆ Aut C₄	152	4+	C4.7D38	304,34
C₄.₈D₃₈ = C₁₅₂⋊C₂	φ: D₃₈/C₃₈ → C₂ ⊆ Aut C₄	152	2	C4.8D38	304,5
C₄.₉D₃₈ = D₁₅₂	φ: D₃₈/C₃₈ → C₂ ⊆ Aut C₄	152	2+	C4.9D38	304,6
C₄.₁₀D₃₈ = Dic₇₆	φ: D₃₈/C₃₈ → C₂ ⊆ Aut C₄	304	2-	C4.10D38	304,7
C₄.₁₁D₃₈ = C₂×Dic₃₈	φ: D₃₈/C₃₈ → C₂ ⊆ Aut C₄	304		C4.11D38	304,27
C₄.₁₂D₃₈ = C₈×D₁₉	central extension (φ=1)	152	2	C4.12D38	304,3
C₄.₁₃D₃₈ = C₈⋊D₁₉	central extension (φ=1)	152	2	C4.13D38	304,4
C₄.₁₄D₃₈ = C₂×C₁₉⋊C₈	central extension (φ=1)	304		C4.14D38	304,8
C₄.₁₅D₃₈ = C₇₆.C₄	central extension (φ=1)	152	2	C4.15D38	304,9
C₄.₁₆D₃₈ = D₇₆⋊₅C₂	central extension (φ=1)	152	2	C4.16D38	304,30

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