Extensions 1→N→G→Q→1 with N=D₄×C₂×C₆ and Q=C₂

Direct product G=N×Q with N=D₄×C₂×C₆ and Q=C₂

		d	ρ	Label	ID
D₄×C₂²×C₆		96		D4xC2^2xC6	192,1531

Semidirect products G=N:Q with N=D₄×C₂×C₆ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(D₄×C₂×C₆)⋊₁C₂ = (C₂×C₆)⋊₈D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6):1C2	192,776
(D₄×C₂×C₆)⋊₂C₂ = C₂²×D₄⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6):2C2	192,1351
(D₄×C₂×C₆)⋊₃C₂ = C₂×D₁₂⋊₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6):3C2	192,1352
(D₄×C₂×C₆)⋊₄C₂ = C₂×D₆⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6):4C2	192,1359
(D₄×C₂×C₆)⋊₅C₂ = D₄×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6):5C2	192,1360
(D₄×C₂×C₆)⋊₆C₂ = C₂×C₁₂⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6):6C2	192,1362
(D₄×C₂×C₆)⋊₇C₂ = C₂⁴.₅₂D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6):7C2	192,1364
(D₄×C₂×C₆)⋊₈C₂ = C₂⁴.₅₃D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6):8C2	192,1365
(D₄×C₂×C₆)⋊₉C₂ = C₂²×S₃×D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6):9C2	192,1514
(D₄×C₂×C₆)⋊₁₀C₂ = C₂²×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6):10C2	192,1515
(D₄×C₂×C₆)⋊₁₁C₂ = C₂×D₄⋊₆D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6):11C2	192,1516
(D₄×C₂×C₆)⋊₁₂C₂ = C₂⁴.₃₂D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6):12C2	192,782
(D₄×C₂×C₆)⋊₁₃C₂ = C₃×C₂³⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6):13C2	192,825
(D₄×C₂×C₆)⋊₁₄C₂ = C₃×C₂²⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6):14C2	192,880
(D₄×C₂×C₆)⋊₁₅C₂ = C₂×C₂³⋊₂D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6):15C2	192,1358
(D₄×C₂×C₆)⋊₁₆C₂ = C₂×C₂³.₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6):16C2	192,1361
(D₄×C₂×C₆)⋊₁₇C₂ = C₂⁴⋊₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6):17C2	192,1363
(D₄×C₂×C₆)⋊₁₈C₂ = C₆×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6):18C2	192,1410
(D₄×C₂×C₆)⋊₁₉C₂ = C₆×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6):19C2	192,1411
(D₄×C₂×C₆)⋊₂₀C₂ = C₆×C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6):20C2	192,1419
(D₄×C₂×C₆)⋊₂₁C₂ = C₃×C₂³⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6):21C2	192,1423
(D₄×C₂×C₆)⋊₂₂C₂ = C₃×C₂².₂₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6):22C2	192,1424
(D₄×C₂×C₆)⋊₂₃C₂ = C₃×D₄²	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6):23C2	192,1434
(D₄×C₂×C₆)⋊₂₄C₂ = C₃×D₄⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6):24C2	192,1435
(D₄×C₂×C₆)⋊₂₅C₂ = C₂×C₆×D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6):25C2	192,1458
(D₄×C₂×C₆)⋊₂₆C₂ = C₆×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6):26C2	192,1462
(D₄×C₂×C₆)⋊₂₇C₂ = C₆×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6):27C2	192,1534
(D₄×C₂×C₆)⋊₂₈C₂ = C₂×C₆×C₄○D₄	φ: trivial image	96	(D4xC2xC6):28C2	192,1533

Non-split extensions G=N.Q with N=D₄×C₂×C₆ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(D₄×C₂×C₆).₁C₂ = C₂×D₄⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6).1C2	192,773
(D₄×C₂×C₆).₂C₂ = (C₆×D₄)⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6).2C2	192,774
(D₄×C₂×C₆).₃C₂ = C₂×C₁₂.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6).3C2	192,775
(D₄×C₂×C₆).₄C₂ = (C₃×D₄).₃₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6).4C2	192,777
(D₄×C₂×C₆).₅C₂ = C₂⁴.₃₀D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6).5C2	192,780
(D₄×C₂×C₆).₆C₂ = C₂²×D₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6).6C2	192,1353
(D₄×C₂×C₆).₇C₂ = C₂×D₄×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6).7C2	192,1354
(D₄×C₂×C₆).₈C₂ = C₂×C₂³.₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6).8C2	192,1356
(D₄×C₂×C₆).₉C₂ = C₂⁴.₄₉D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6).9C2	192,1357
(D₄×C₂×C₆).₁₀C₂ = C₂×C₂³.₇D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6).10C2	192,778
(D₄×C₂×C₆).₁₁C₂ = C₂⁴.₂₉D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6).11C2	192,779
(D₄×C₂×C₆).₁₂C₂ = C₂⁴.₃₁D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6).12C2	192,781
(D₄×C₂×C₆).₁₃C₂ = C₃×C₂³.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6).13C2	192,819
(D₄×C₂×C₆).₁₄C₂ = C₃×C₂⁴.₃C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6).14C2	192,823
(D₄×C₂×C₆).₁₅C₂ = C₃×C₂³.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6).15C2	192,827
(D₄×C₂×C₆).₁₆C₂ = C₆×C₂³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6).16C2	192,842
(D₄×C₂×C₆).₁₇C₂ = C₆×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6).17C2	192,844
(D₄×C₂×C₆).₁₈C₂ = C₆×D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6).18C2	192,847
(D₄×C₂×C₆).₁₉C₂ = C₃×C₂³.₃₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6).19C2	192,851
(D₄×C₂×C₆).₂₀C₂ = C₃×C₂²⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6).20C2	192,883
(D₄×C₂×C₆).₂₁C₂ = C₂×C₂³.₂₃D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6).21C2	192,1355
(D₄×C₂×C₆).₂₂C₂ = C₃×C₂².₁₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	48	(D4xC2xC6).22C2	192,1407
(D₄×C₂×C₆).₂₃C₂ = C₆×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6).23C2	192,1413
(D₄×C₂×C₆).₂₄C₂ = C₆×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6).24C2	192,1415
(D₄×C₂×C₆).₂₅C₂ = C₂×C₆×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₆	96	(D4xC2xC6).25C2	192,1459
(D₄×C₂×C₆).₂₆C₂ = D₄×C₂×C₁₂	φ: trivial image	96	(D4xC2xC6).26C2	192,1404

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Extensions 1→N→G→Q→1 with N=D4×C2×C6 and Q=C2

Extensions 1→N→G→Q→1 with N=D₄×C₂×C₆ and Q=C₂