Extensions 1→N→G→Q→1 with N=C₆.Dic₆ and Q=C₂

Direct product G=N×Q with N=C₆.Dic₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₆.Dic₆		288		C2xC6.Dic6	288,780

Semidirect products G=N:Q with N=C₆.Dic₆ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₆.Dic₆⋊₁C₂ = C₁₂²⋊₂C₂	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	144	C6.Dic6:1C2	288,733
C₆.Dic₆⋊₂C₂ = C₆²⋊₁₀Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	144	C6.Dic6:2C2	288,781
C₆.Dic₆⋊₃C₂ = C₆².₁₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	144	C6.Dic6:3C2	288,786
C₆.Dic₆⋊₄C₂ = C₆²⋊₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	144	C6.Dic6:4C2	288,735
C₆.Dic₆⋊₅C₂ = C₆².₂₂₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	144	C6.Dic6:5C2	288,741
C₆.Dic₆⋊₆C₂ = C₆².₂₃₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	144	C6.Dic6:6C2	288,751
C₆.Dic₆⋊₇C₂ = C₆².₂₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	96	C6.Dic6:7C2	288,506
C₆.Dic₆⋊₈C₂ = C₆².₅₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	96	C6.Dic6:8C2	288,532
C₆.Dic₆⋊₉C₂ = C₆².₅₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	96	C6.Dic6:9C2	288,533
C₆.Dic₆⋊₁₀C₂ = D₆⋊₁Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	96	C6.Dic6:10C2	288,535
C₆.Dic₆⋊₁₁C₂ = D₆⋊₄Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	96	C6.Dic6:11C2	288,547
C₆.Dic₆⋊₁₂C₂ = D₆⋊Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	96	C6.Dic6:12C2	288,499
C₆.Dic₆⋊₁₃C₂ = C₆².₂₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	96	C6.Dic6:13C2	288,507
C₆.Dic₆⋊₁₄C₂ = S₃×Dic₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	96	C6.Dic6:14C2	288,524
C₆.Dic₆⋊₁₅C₂ = C₆².₄₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	96	C6.Dic6:15C2	288,525
C₆.Dic₆⋊₁₆C₂ = C₆².₄₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	96	C6.Dic6:16C2	288,527
C₆.Dic₆⋊₁₇C₂ = C₆².₇₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	96	C6.Dic6:17C2	288,553
C₆.Dic₆⋊₁₈C₂ = C₆².₂₂₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	144	C6.Dic6:18C2	288,734
C₆.Dic₆⋊₁₉C₂ = C₆².₂₂₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	144	C6.Dic6:19C2	288,736
C₆.Dic₆⋊₂₀C₂ = C₆².₂₂₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	144	C6.Dic6:20C2	288,738
C₆.Dic₆⋊₂₁C₂ = C₆².₂₂₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	144	C6.Dic6:21C2	288,740
C₆.Dic₆⋊₂₂C₂ = C₄⋊C₄×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	144	C6.Dic6:22C2	288,748
C₆.Dic₆⋊₂₃C₂ = C₆².₂₄₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	144	C6.Dic6:23C2	288,753
C₆.Dic₆⋊₂₄C₂ = C₆².₂₄₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	144	C6.Dic6:24C2	288,755
C₆.Dic₆⋊₂₅C₂ = C₆².₇₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	144	C6.Dic6:25C2	288,792
C₆.Dic₆⋊₂₆C₂ = C₆²⋊₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	144	C6.Dic6:26C2	288,796
C₆.Dic₆⋊₂₇C₂ = C₆².₂₆₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	144	C6.Dic6:27C2	288,803
C₆.Dic₆⋊₂₈C₂ = C₁₂²⋊₁₆C₂	φ: trivial image	144	C6.Dic6:28C2	288,729
C₆.Dic₆⋊₂₉C₂ = C₄×C₃²⋊₇D₄	φ: trivial image	144	C6.Dic6:29C2	288,785

Non-split extensions G=N.Q with N=C₆.Dic₆ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₆.Dic₆.₁C₂ = C₁₂.₂₅Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	288	C6.Dic6.1C2	288,727
C₆.Dic₆.₂C₂ = C₁₂⋊₂Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	288	C6.Dic6.2C2	288,745
C₆.Dic₆.₃C₂ = C₆².₂₃₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	288	C6.Dic6.3C2	288,747
C₆.Dic₆.₄C₂ = C₆².₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	96	C6.Dic6.4C2	288,487
C₆.Dic₆.₅C₂ = C₆².₁₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	96	C6.Dic6.5C2	288,494
C₆.Dic₆.₆C₂ = C₆².₁₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	96	C6.Dic6.6C2	288,495
C₆.Dic₆.₇C₂ = Dic₃⋊₅Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	96	C6.Dic6.7C2	288,485
C₆.Dic₆.₈C₂ = C₆².₃₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	96	C6.Dic6.8C2	288,515
C₆.Dic₆.₉C₂ = C₆².₂₃₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	288	C6.Dic6.9C2	288,744
C₆.Dic₆.₁₀C₂ = C₆².₂₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	288	C6.Dic6.10C2	288,746
C₆.Dic₆.₁₁C₂ = C₆².₂₅₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆.Dic₆	288	C6.Dic6.11C2	288,801
C₆.Dic₆.₁₂C₂ = C₄×C₃²⋊₄Q₈	φ: trivial image	288	C6.Dic6.12C2	288,725

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Extensions 1→N→G→Q→1 with N=C6.Dic6 and Q=C2

Extensions 1→N→G→Q→1 with N=C₆.Dic₆ and Q=C₂