Extensions 1→N→G→Q→1 with N=C₃×M₄(2) and Q=C₂²

Direct product G=N×Q with N=C₃×M₄(2) and Q=C₂²

		d	ρ	Label	ID
C₂×C₆×M₄(2)		96		C2xC6xM4(2)	192,1455

Semidirect products G=N:Q with N=C₃×M₄(2) and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×M₄(2))⋊₁C₂² = S₃×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	24	8+	(C3xM4(2)):1C2^2	192,1331
(C₃×M₄(2))⋊₂C₂² = D₈⋊₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	8-	(C3xM4(2)):2C2^2	192,1332
(C₃×M₄(2))⋊₃C₂² = D₈⋊₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	8+	(C3xM4(2)):3C2^2	192,1333
(C₃×M₄(2))⋊₄C₂² = D₈⋊₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	8-	(C3xM4(2)):4C2^2	192,1334
(C₃×M₄(2))⋊₅C₂² = S₃×C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	8-	(C3xM4(2)):5C2^2	192,1335
(C₃×M₄(2))⋊₆C₂² = D₂₄⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	8+	(C3xM4(2)):6C2^2	192,1336
(C₃×M₄(2))⋊₇C₂² = C₂₄.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	8+	(C3xM4(2)):7C2^2	192,1337
(C₃×M₄(2))⋊₈C₂² = M₄(2)⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	8-	(C3xM4(2)):8C2^2	192,305
(C₃×M₄(2))⋊₉C₂² = D₁₂⋊₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	24	8+	(C3xM4(2)):9C2^2	192,306
(C₃×M₄(2))⋊₁₀C₂² = Q₈⋊₅D₁₂	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	24	4+	(C3xM4(2)):10C2^2	192,381
(C₃×M₄(2))⋊₁₁C₂² = C₄²⋊₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):11C2^2	192,384
(C₃×M₄(2))⋊₁₂C₂² = D₁₂⋊₁₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	24	8+	(C3xM4(2)):12C2^2	192,757
(C₃×M₄(2))⋊₁₃C₂² = D₁₂.₃₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	8+	(C3xM4(2)):13C2^2	192,761
(C₃×M₄(2))⋊₁₄C₂² = C₃×D₄⋊₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	24	4	(C3xM4(2)):14C2^2	192,886
(C₃×M₄(2))⋊₁₅C₂² = C₃×D₄.₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):15C2^2	192,888
(C₃×M₄(2))⋊₁₆C₂² = S₃×C₄.D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	24	8+	(C3xM4(2)):16C2^2	192,303
(C₃×M₄(2))⋊₁₇C₂² = S₃×C₄≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	24	4	(C3xM4(2)):17C2^2	192,379
(C₃×M₄(2))⋊₁₈C₂² = C₄²⋊₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):18C2^2	192,380
(C₃×M₄(2))⋊₁₉C₂² = C₂×C₈⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48		(C3xM4(2)):19C2^2	192,1305
(C₃×M₄(2))⋊₂₀C₂² = C₂×C₈.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	96		(C3xM4(2)):20C2^2	192,1306
(C₃×M₄(2))⋊₂₁C₂² = C₂₄.₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):21C2^2	192,1307
(C₃×M₄(2))⋊₂₂C₂² = D₄.₁₁D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):22C2^2	192,1310
(C₃×M₄(2))⋊₂₃C₂² = D₄.₁₂D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4+	(C3xM4(2)):23C2^2	192,1311
(C₃×M₄(2))⋊₂₄C₂² = C₆×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48		(C3xM4(2)):24C2^2	192,1462
(C₃×M₄(2))⋊₂₅C₂² = C₆×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	96		(C3xM4(2)):25C2^2	192,1463
(C₃×M₄(2))⋊₂₆C₂² = C₃×D₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):26C2^2	192,1464
(C₃×M₄(2))⋊₂₇C₂² = C₃×D₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):27C2^2	192,1465
(C₃×M₄(2))⋊₂₈C₂² = C₃×D₄○SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):28C2^2	192,1466
(C₃×M₄(2))⋊₂₉C₂² = C₂×S₃×M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48		(C3xM4(2)):29C2^2	192,1302
(C₃×M₄(2))⋊₃₀C₂² = C₂×D₁₂.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	96		(C3xM4(2)):30C2^2	192,1303
(C₃×M₄(2))⋊₃₁C₂² = M₄(2)⋊₂₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):31C2^2	192,1304
(C₃×M₄(2))⋊₃₂C₂² = S₃×C₈○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):32C2^2	192,1308
(C₃×M₄(2))⋊₃₃C₂² = M₄(2)⋊₂₈D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):33C2^2	192,1309
(C₃×M₄(2))⋊₃₄C₂² = C₂×C₁₂.₄₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48		(C3xM4(2)):34C2^2	192,689
(C₃×M₄(2))⋊₃₅C₂² = C₂×D₁₂⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48		(C3xM4(2)):35C2^2	192,697
(C₃×M₄(2))⋊₃₆C₂² = M₄(2)⋊₂₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):36C2^2	192,698
(C₃×M₄(2))⋊₃₇C₂² = C₆×C₄.D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48		(C3xM4(2)):37C2^2	192,844
(C₃×M₄(2))⋊₃₈C₂² = C₆×C₄≀C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48		(C3xM4(2)):38C2^2	192,853
(C₃×M₄(2))⋊₃₉C₂² = C₃×C₄²⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):39C2^2	192,854
(C₃×M₄(2))⋊₄₀C₂² = C₆×C₈○D₄	φ: trivial image	96		(C3xM4(2)):40C2^2	192,1456
(C₃×M₄(2))⋊₄₁C₂² = C₃×Q₈○M₄(2)	φ: trivial image	48	4	(C3xM4(2)):41C2^2	192,1457

Non-split extensions G=N.Q with N=C₃×M₄(2) and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×M₄(2)).₁C₂² = SD₁₆.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	96	8-	(C3xM4(2)).1C2^2	192,1338
(C₃×M₄(2)).₂C₂² = D₁₂.₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	8-	(C3xM4(2)).2C2^2	192,311
(C₃×M₄(2)).₃C₂² = D₁₂.₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	8+	(C3xM4(2)).3C2^2	192,312
(C₃×M₄(2)).₄C₂² = Q₈.₁₄D₁₂	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	4-	(C3xM4(2)).4C2^2	192,385
(C₃×M₄(2)).₅C₂² = D₄.₁₀D₁₂	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).5C2^2	192,386
(C₃×M₄(2)).₆C₂² = C₂₄.₁₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	96	4-	(C3xM4(2)).6C2^2	192,455
(C₃×M₄(2)).₇C₂² = C₂₄.₁₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	4+	(C3xM4(2)).7C2^2	192,456
(C₃×M₄(2)).₈C₂² = C₂₄.₄₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).8C2^2	192,457
(C₃×M₄(2)).₉C₂² = M₄(2).D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	8+	(C3xM4(2)).9C2^2	192,758
(C₃×M₄(2)).₁₀C₂² = M₄(2).₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	8-	(C3xM4(2)).10C2^2	192,759
(C₃×M₄(2)).₁₁C₂² = D₁₂.₃₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	8-	(C3xM4(2)).11C2^2	192,760
(C₃×M₄(2)).₁₂C₂² = M₄(2).₁₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	8+	(C3xM4(2)).12C2^2	192,762
(C₃×M₄(2)).₁₃C₂² = M₄(2).₁₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	96	8-	(C3xM4(2)).13C2^2	192,763
(C₃×M₄(2)).₁₄C₂² = D₁₂.₄₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	8-	(C3xM4(2)).14C2^2	192,764
(C₃×M₄(2)).₁₅C₂² = C₃×D₄.₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).15C2^2	192,887
(C₃×M₄(2)).₁₆C₂² = C₃×D₄.₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).16C2^2	192,889
(C₃×M₄(2)).₁₇C₂² = M₄(2).₁₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	8-	(C3xM4(2)).17C2^2	192,304
(C₃×M₄(2)).₁₈C₂² = D₁₂.₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	8-	(C3xM4(2)).18C2^2	192,307
(C₃×M₄(2)).₁₉C₂² = D₁₂.₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	8+	(C3xM4(2)).19C2^2	192,308
(C₃×M₄(2)).₂₀C₂² = S₃×C₄.₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	8-	(C3xM4(2)).20C2^2	192,309
(C₃×M₄(2)).₂₁C₂² = M₄(2).₂₁D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	8+	(C3xM4(2)).21C2^2	192,310
(C₃×M₄(2)).₂₂C₂² = D₁₂.₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	8+	(C3xM4(2)).22C2^2	192,313
(C₃×M₄(2)).₂₃C₂² = D₁₂.₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	96	8-	(C3xM4(2)).23C2^2	192,314
(C₃×M₄(2)).₂₄C₂² = M₄(2).₂₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).24C2^2	192,382
(C₃×M₄(2)).₂₅C₂² = C₄².₁₉₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).25C2^2	192,383
(C₃×M₄(2)).₂₆C₂² = S₃×C₈.C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).26C2^2	192,451
(C₃×M₄(2)).₂₇C₂² = M₄(2).₂₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).27C2^2	192,452
(C₃×M₄(2)).₂₈C₂² = D₂₄⋊₁₀C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).28C2^2	192,453
(C₃×M₄(2)).₂₉C₂² = D₂₄⋊₇C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).29C2^2	192,454
(C₃×M₄(2)).₃₀C₂² = D₄.₁₃D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	96	4-	(C3xM4(2)).30C2^2	192,1312
(C₃×M₄(2)).₃₁C₂² = C₃×Q₈○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	96	4	(C3xM4(2)).31C2^2	192,1467
(C₃×M₄(2)).₃₂C₂² = C₂×C₁₂.₅₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	96		(C3xM4(2)).32C2^2	192,682
(C₃×M₄(2)).₃₃C₂² = C₂³.₈Dic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).33C2^2	192,683
(C₃×M₄(2)).₃₄C₂² = M₄(2).₃₁D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).34C2^2	192,691
(C₃×M₄(2)).₃₅C₂² = C₂×C₁₂.₄₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	96		(C3xM4(2)).35C2^2	192,695
(C₃×M₄(2)).₃₆C₂² = Q₈.₈D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).36C2^2	192,700
(C₃×M₄(2)).₃₇C₂² = Q₈.₉D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4+	(C3xM4(2)).37C2^2	192,701
(C₃×M₄(2)).₃₈C₂² = Q₈.₁₀D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	96	4-	(C3xM4(2)).38C2^2	192,702
(C₃×M₄(2)).₃₉C₂² = C₂₄.₁₀₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).39C2^2	192,703
(C₃×M₄(2)).₄₀C₂² = C₂₄.₅₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).40C2^2	192,704
(C₃×M₄(2)).₄₁C₂² = C₆×C₄.₁₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	96		(C3xM4(2)).41C2^2	192,845
(C₃×M₄(2)).₄₂C₂² = C₃×M₄(2).₈C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).42C2^2	192,846
(C₃×M₄(2)).₄₃C₂² = C₆×C₈.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	96		(C3xM4(2)).43C2^2	192,862
(C₃×M₄(2)).₄₄C₂² = C₃×M₄(2).C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).44C2^2	192,863
(C₃×M₄(2)).₄₅C₂² = C₃×C₈○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	2	(C3xM4(2)).45C2^2	192,876
(C₃×M₄(2)).₄₆C₂² = C₃×C₈.₂₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).46C2^2	192,877
(C₃×M₄(2)).₄₇C₂² = C₃×D₄.₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).47C2^2	192,904
(C₃×M₄(2)).₄₈C₂² = C₃×D₄.₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).48C2^2	192,905
(C₃×M₄(2)).₄₉C₂² = C₃×D₄.₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×M₄(2)	96	4	(C3xM4(2)).49C2^2	192,906

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Extensions 1→N→G→Q→1 with N=C3×M4(2) and Q=C22

Extensions 1→N→G→Q→1 with N=C₃×M₄(2) and Q=C₂²