Extensions 1→N→G→Q→1 with N=C₄₈ and Q=S₃

Direct product G=N×Q with N=C₄₈ and Q=S₃

		d	ρ	Label	ID
S₃×C₄₈		96	2	S3xC48	288,231

Semidirect products G=N:Q with N=C₄₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₈⋊₁S₃ = C₃²⋊₅D₁₆	φ: S₃/C₃ → C₂ ⊆ Aut C₄₈	144		C48:1S3	288,274
C₄₈⋊₂S₃ = C₆.D₂₄	φ: S₃/C₃ → C₂ ⊆ Aut C₄₈	144		C48:2S3	288,275
C₄₈⋊₃S₃ = C₃×D₄₈	φ: S₃/C₃ → C₂ ⊆ Aut C₄₈	96	2	C48:3S3	288,233
C₄₈⋊₄S₃ = C₃×C₄₈⋊C₂	φ: S₃/C₃ → C₂ ⊆ Aut C₄₈	96	2	C48:4S3	288,234
C₄₈⋊₅S₃ = C₁₆×C₃⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₄₈	144		C48:5S3	288,272
C₄₈⋊₆S₃ = C₄₈⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₄₈	144		C48:6S3	288,273
C₄₈⋊₇S₃ = C₃×D₆.C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₄₈	96	2	C48:7S3	288,232

Non-split extensions G=N.Q with N=C₄₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₈.₁S₃ = D₁₄₄	φ: S₃/C₃ → C₂ ⊆ Aut C₄₈	144	2+	C48.1S3	288,6
C₄₈.₂S₃ = Dic₇₂	φ: S₃/C₃ → C₂ ⊆ Aut C₄₈	288	2-	C48.2S3	288,8
C₄₈.₃S₃ = C₃²⋊₅Q₃₂	φ: S₃/C₃ → C₂ ⊆ Aut C₄₈	288		C48.3S3	288,276
C₄₈.₄S₃ = C₁₄₄⋊C₂	φ: S₃/C₃ → C₂ ⊆ Aut C₄₈	144	2	C48.4S3	288,7
C₄₈.₅S₃ = C₃×Dic₂₄	φ: S₃/C₃ → C₂ ⊆ Aut C₄₈	96	2	C48.5S3	288,235
C₄₈.₆S₃ = C₉⋊C₃₂	φ: S₃/C₃ → C₂ ⊆ Aut C₄₈	288	2	C48.6S3	288,1
C₄₈.₇S₃ = C₁₆×D₉	φ: S₃/C₃ → C₂ ⊆ Aut C₄₈	144	2	C48.7S3	288,4
C₄₈.₈S₃ = C₁₆⋊D₉	φ: S₃/C₃ → C₂ ⊆ Aut C₄₈	144	2	C48.8S3	288,5
C₄₈.₉S₃ = C₄₈.S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₄₈	288		C48.9S3	288,65
C₄₈.₁₀S₃ = C₃×C₃⋊C₃₂	central extension (φ=1)	96	2	C48.10S3	288,64

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