Extensions 1→N→G→Q→1 with N=C₃₈ and Q=D₆

Direct product G=N×Q with N=C₃₈ and Q=D₆

		d	ρ	Label	ID
S₃×C₂×C₃₈		228		S3xC2xC38	456,52

Semidirect products G=N:Q with N=C₃₈ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₈⋊₁D₆ = C₂×S₃×D₁₉	φ: D₆/S₃ → C₂ ⊆ Aut C₃₈	114	4+	C38:1D6	456,47
C₃₈⋊₂D₆ = C₂²×D₅₇	φ: D₆/C₆ → C₂ ⊆ Aut C₃₈	228		C38:2D6	456,53

Non-split extensions G=N.Q with N=C₃₈ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₈.₁D₆ = Dic₃×D₁₉	φ: D₆/S₃ → C₂ ⊆ Aut C₃₈	228	4-	C38.1D6	456,12
C₃₈.₂D₆ = S₃×Dic₁₉	φ: D₆/S₃ → C₂ ⊆ Aut C₃₈	228	4-	C38.2D6	456,13
C₃₈.₃D₆ = D₅₇⋊C₄	φ: D₆/S₃ → C₂ ⊆ Aut C₃₈	228	4+	C38.3D6	456,14
C₃₈.₄D₆ = C₅₇⋊D₄	φ: D₆/S₃ → C₂ ⊆ Aut C₃₈	228	4-	C38.4D6	456,15
C₃₈.₅D₆ = C₃⋊D₇₆	φ: D₆/S₃ → C₂ ⊆ Aut C₃₈	228	4+	C38.5D6	456,16
C₃₈.₆D₆ = C₁₉⋊D₁₂	φ: D₆/S₃ → C₂ ⊆ Aut C₃₈	228	4+	C38.6D6	456,17
C₃₈.₇D₆ = C₅₇⋊Q₈	φ: D₆/S₃ → C₂ ⊆ Aut C₃₈	456	4-	C38.7D6	456,18
C₃₈.₈D₆ = Dic₁₁₄	φ: D₆/C₆ → C₂ ⊆ Aut C₃₈	456	2-	C38.8D6	456,34
C₃₈.₉D₆ = C₄×D₅₇	φ: D₆/C₆ → C₂ ⊆ Aut C₃₈	228	2	C38.9D6	456,35
C₃₈.₁₀D₆ = D₂₂₈	φ: D₆/C₆ → C₂ ⊆ Aut C₃₈	228	2+	C38.10D6	456,36
C₃₈.₁₁D₆ = C₂×Dic₅₇	φ: D₆/C₆ → C₂ ⊆ Aut C₃₈	456		C38.11D6	456,37
C₃₈.₁₂D₆ = C₅₇⋊₇D₄	φ: D₆/C₆ → C₂ ⊆ Aut C₃₈	228	2	C38.12D6	456,38
C₃₈.₁₃D₆ = C₁₉×Dic₆	central extension (φ=1)	456	2	C38.13D6	456,29
C₃₈.₁₄D₆ = S₃×C₇₆	central extension (φ=1)	228	2	C38.14D6	456,30
C₃₈.₁₅D₆ = C₁₉×D₁₂	central extension (φ=1)	228	2	C38.15D6	456,31
C₃₈.₁₆D₆ = Dic₃×C₃₈	central extension (φ=1)	456		C38.16D6	456,32
C₃₈.₁₇D₆ = C₁₉×C₃⋊D₄	central extension (φ=1)	228	2	C38.17D6	456,33

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