Extensions 1→N→G→Q→1 with N=C₄⋊Dic₃ and Q=S₃

Direct product G=N×Q with N=C₄⋊Dic₃ and Q=S₃

		d	ρ	Label	ID
S₃×C₄⋊Dic₃		96		S3xC4:Dic3	288,537

Semidirect products G=N:Q with N=C₄⋊Dic₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊Dic₃⋊₁S₃ = C₆.₁₇D₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	48		C4:Dic3:1S3	288,212
C₄⋊Dic₃⋊₂S₃ = C₆².₁₈C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	48		C4:Dic3:2S3	288,496
C₄⋊Dic₃⋊₃S₃ = C₆².₂₄C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	48		C4:Dic3:3S3	288,502
C₄⋊Dic₃⋊₄S₃ = D₆⋊₇Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	96		C4:Dic3:4S3	288,505
C₄⋊Dic₃⋊₅S₃ = C₆².₂₈C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	96		C4:Dic3:5S3	288,506
C₄⋊Dic₃⋊₆S₃ = D₆.D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	48		C4:Dic3:6S3	288,538
C₄⋊Dic₃⋊₇S₃ = C₆².₆₅C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	48		C4:Dic3:7S3	288,543
C₄⋊Dic₃⋊₈S₃ = D₆⋊₄Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	96		C4:Dic3:8S3	288,547
C₄⋊Dic₃⋊₉S₃ = C₁₂⋊₇D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	48		C4:Dic3:9S3	288,557
C₄⋊Dic₃⋊₁₀S₃ = D₁₂⋊₃Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	96		C4:Dic3:10S3	288,210
C₄⋊Dic₃⋊₁₁S₃ = C₆².₁₉C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	48		C4:Dic3:11S3	288,497
C₄⋊Dic₃⋊₁₂S₃ = C₁₂.₃₀D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	48		C4:Dic3:12S3	288,519
C₄⋊Dic₃⋊₁₃S₃ = D₁₂⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	96		C4:Dic3:13S3	288,546
C₄⋊Dic₃⋊₁₄S₃ = C₆².₇₀C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	48		C4:Dic3:14S3	288,548
C₄⋊Dic₃⋊₁₅S₃ = C₁₂⋊₂D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	48		C4:Dic3:15S3	288,564
C₄⋊Dic₃⋊₁₆S₃ = C₆².₁₁C₂³	φ: trivial image	96		C4:Dic3:16S3	288,489
C₄⋊Dic₃⋊₁₇S₃ = Dic₃⋊₅D₁₂	φ: trivial image	48		C4:Dic3:17S3	288,542

Non-split extensions G=N.Q with N=C₄⋊Dic₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊Dic₃.₁S₃ = C₁₂.₇₃D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	96		C4:Dic3.1S3	288,215
C₄⋊Dic₃.₂S₃ = C₁₂.Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	96		C4:Dic3.2S3	288,221
C₄⋊Dic₃.₃S₃ = C₆.₁₈D₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	96		C4:Dic3.3S3	288,223
C₄⋊Dic₃.₄S₃ = C₆².₁₆C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	96		C4:Dic3.4S3	288,494
C₄⋊Dic₃.₅S₃ = C₆².₁₇C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	96		C4:Dic3.5S3	288,495
C₄⋊Dic₃.₆S₃ = C₆².₃₉C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	96		C4:Dic3.6S3	288,517
C₄⋊Dic₃.₇S₃ = C₁₂⋊₃Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	96		C4:Dic3.7S3	288,566
C₄⋊Dic₃.₈S₃ = Dic₆⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	96		C4:Dic3.8S3	288,213
C₄⋊Dic₃.₉S₃ = C₁₂.₆Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	96		C4:Dic3.9S3	288,222
C₄⋊Dic₃.₁₀S₃ = C₁₂.₈Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	96		C4:Dic3.10S3	288,224
C₄⋊Dic₃.₁₁S₃ = C₆².₁₃C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	96		C4:Dic3.11S3	288,491
C₄⋊Dic₃.₁₂S₃ = C₆².₄₂C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	96		C4:Dic3.12S3	288,520
C₄⋊Dic₃.₁₃S₃ = C₁₂⋊Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₃	96		C4:Dic3.13S3	288,567
C₄⋊Dic₃.₁₄S₃ = Dic₃⋊₆Dic₆	φ: trivial image	96		C4:Dic3.14S3	288,492

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁