Extensions 1→N→G→Q→1 with N=C₆ and Q=D₃₈

Direct product G=N×Q with N=C₆ and Q=D₃₈

		d	ρ	Label	ID
C₂×C₆×D₁₉		228		C2xC6xD19	456,51

Semidirect products G=N:Q with N=C₆ and Q=D₃₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁D₃₈ = C₂×S₃×D₁₉	φ: D₃₈/D₁₉ → C₂ ⊆ Aut C₆	114	4+	C6:1D38	456,47
C₆⋊₂D₃₈ = C₂²×D₅₇	φ: D₃₈/C₃₈ → C₂ ⊆ Aut C₆	228		C6:2D38	456,53

Non-split extensions G=N.Q with N=C₆ and Q=D₃₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁D₃₈ = Dic₃×D₁₉	φ: D₃₈/D₁₉ → C₂ ⊆ Aut C₆	228	4-	C6.1D38	456,12
C₆.₂D₃₈ = S₃×Dic₁₉	φ: D₃₈/D₁₉ → C₂ ⊆ Aut C₆	228	4-	C6.2D38	456,13
C₆.₃D₃₈ = D₅₇⋊C₄	φ: D₃₈/D₁₉ → C₂ ⊆ Aut C₆	228	4+	C6.3D38	456,14
C₆.₄D₃₈ = C₅₇⋊D₄	φ: D₃₈/D₁₉ → C₂ ⊆ Aut C₆	228	4-	C6.4D38	456,15
C₆.₅D₃₈ = C₃⋊D₇₆	φ: D₃₈/D₁₉ → C₂ ⊆ Aut C₆	228	4+	C6.5D38	456,16
C₆.₆D₃₈ = C₁₉⋊D₁₂	φ: D₃₈/D₁₉ → C₂ ⊆ Aut C₆	228	4+	C6.6D38	456,17
C₆.₇D₃₈ = C₅₇⋊Q₈	φ: D₃₈/D₁₉ → C₂ ⊆ Aut C₆	456	4-	C6.7D38	456,18
C₆.₈D₃₈ = Dic₁₁₄	φ: D₃₈/C₃₈ → C₂ ⊆ Aut C₆	456	2-	C6.8D38	456,34
C₆.₉D₃₈ = C₄×D₅₇	φ: D₃₈/C₃₈ → C₂ ⊆ Aut C₆	228	2	C6.9D38	456,35
C₆.₁₀D₃₈ = D₂₂₈	φ: D₃₈/C₃₈ → C₂ ⊆ Aut C₆	228	2+	C6.10D38	456,36
C₆.₁₁D₃₈ = C₂×Dic₅₇	φ: D₃₈/C₃₈ → C₂ ⊆ Aut C₆	456		C6.11D38	456,37
C₆.₁₂D₃₈ = C₅₇⋊₇D₄	φ: D₃₈/C₃₈ → C₂ ⊆ Aut C₆	228	2	C6.12D38	456,38
C₆.₁₃D₃₈ = C₃×Dic₃₈	central extension (φ=1)	456	2	C6.13D38	456,24
C₆.₁₄D₃₈ = C₁₂×D₁₉	central extension (φ=1)	228	2	C6.14D38	456,25
C₆.₁₅D₃₈ = C₃×D₇₆	central extension (φ=1)	228	2	C6.15D38	456,26
C₆.₁₆D₃₈ = C₆×Dic₁₉	central extension (φ=1)	456		C6.16D38	456,27
C₆.₁₇D₃₈ = C₃×C₁₉⋊D₄	central extension (φ=1)	228	2	C6.17D38	456,28

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