Extensions 1→N→G→Q→1 with N=C₄×D₄ and Q=C₆

Direct product G=N×Q with N=C₄×D₄ and Q=C₆

		d	ρ	Label	ID
D₄×C₂×C₁₂		96		D4xC2xC12	192,1404

Semidirect products G=N:Q with N=C₄×D₄ and Q=C₆

extension	φ:Q→Out N	d	Label	ID
(C₄×D₄)⋊₁C₆ = C₁₂×D₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):1C6	192,870
(C₄×D₄)⋊₂C₆ = C₃×D₈⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):2C6	192,875
(C₄×D₄)⋊₃C₆ = C₃×C₄⋊D₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):3C6	192,892
(C₄×D₄)⋊₄C₆ = C₃×D₄.₂D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):4C6	192,896
(C₄×D₄)⋊₅C₆ = C₃×C₂².₁₁C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	48	(C4xD4):5C6	192,1407
(C₄×D₄)⋊₆C₆ = C₃×C₂³.₃₃C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):6C6	192,1409
(C₄×D₄)⋊₇C₆ = C₃×C₂².₁₉C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	48	(C4xD4):7C6	192,1414
(C₄×D₄)⋊₈C₆ = C₃×C₂³.₃₆C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):8C6	192,1418
(C₄×D₄)⋊₉C₆ = C₃×C₂².₂₆C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):9C6	192,1421
(C₄×D₄)⋊₁₀C₆ = C₃×C₂².₃₂C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	48	(C4xD4):10C6	192,1427
(C₄×D₄)⋊₁₁C₆ = C₃×C₂².₃₃C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):11C6	192,1428
(C₄×D₄)⋊₁₂C₆ = C₃×C₂².₃₄C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):12C6	192,1429
(C₄×D₄)⋊₁₃C₆ = C₃×C₂².₃₆C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):13C6	192,1431
(C₄×D₄)⋊₁₄C₆ = C₃×D₄²	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	48	(C4xD4):14C6	192,1434
(C₄×D₄)⋊₁₅C₆ = C₃×D₄⋊₅D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	48	(C4xD4):15C6	192,1435
(C₄×D₄)⋊₁₆C₆ = C₃×D₄⋊₆D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):16C6	192,1436
(C₄×D₄)⋊₁₇C₆ = C₃×Q₈⋊₅D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):17C6	192,1437
(C₄×D₄)⋊₁₈C₆ = C₃×Q₈⋊₆D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):18C6	192,1439
(C₄×D₄)⋊₁₉C₆ = C₃×C₂².₄₅C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	48	(C4xD4):19C6	192,1440
(C₄×D₄)⋊₂₀C₆ = C₃×C₂².₄₇C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):20C6	192,1442
(C₄×D₄)⋊₂₁C₆ = C₃×C₂².₄₉C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):21C6	192,1444
(C₄×D₄)⋊₂₂C₆ = C₃×C₂².₅₃C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):22C6	192,1448
(C₄×D₄)⋊₂₃C₆ = C₁₂×C₄○D₄	φ: trivial image	96	(C4xD4):23C6	192,1406

Non-split extensions G=N.Q with N=C₄×D₄ and Q=C₆

extension	φ:Q→Out N	d	Label	ID
(C₄×D₄).₁C₆ = C₃×D₄⋊C₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).1C6	192,131
(C₄×D₄).₂C₆ = C₃×C₈⋊₉D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).2C6	192,868
(C₄×D₄).₃C₆ = C₃×C₈⋊₆D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).3C6	192,869
(C₄×D₄).₄C₆ = C₁₂×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).4C6	192,871
(C₄×D₄).₅C₆ = C₃×SD₁₆⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).5C6	192,873
(C₄×D₄).₆C₆ = C₃×D₄.D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).6C6	192,894
(C₄×D₄).₇C₆ = C₃×D₄⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).7C6	192,907
(C₄×D₄).₈C₆ = C₃×D₄⋊₂Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).8C6	192,909
(C₄×D₄).₉C₆ = C₃×D₄.Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).9C6	192,911
(C₄×D₄).₁₀C₆ = C₃×D₄×Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).10C6	192,1438
(C₄×D₄).₁₁C₆ = C₃×C₂².₄₆C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).11C6	192,1441
(C₄×D₄).₁₂C₆ = C₃×D₄⋊₃Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).12C6	192,1443
(C₄×D₄).₁₃C₆ = C₃×C₂².₅₀C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).13C6	192,1445
(C₄×D₄).₁₄C₆ = D₄×C₂₄	φ: trivial image	96	(C4xD4).14C6	192,867

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Extensions 1→N→G→Q→1 with N=C4×D4 and Q=C6

Extensions 1→N→G→Q→1 with N=C₄×D₄ and Q=C₆