Extensions 1→N→G→Q→1 with N=C₃²⋊₄Q₈ and Q=C₂²

Direct product G=N×Q with N=C₃²⋊₄Q₈ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₃²⋊₄Q₈		288		C2^2xC3^2:4Q8	288,1003

Semidirect products G=N:Q with N=C₃²⋊₄Q₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₄Q₈⋊₁C₂² = S₃×C₂₄⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	48	4	C3^2:4Q8:1C2^2	288,440
C₃²⋊₄Q₈⋊₂C₂² = D₂₄⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	48	4	C3^2:4Q8:2C2^2	288,443
C₃²⋊₄Q₈⋊₃C₂² = D₁₂.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	48	8-	C3^2:4Q8:3C2^2	288,575
C₃²⋊₄Q₈⋊₄C₂² = S₃×D₄.S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	48	8-	C3^2:4Q8:4C2^2	288,576
C₃²⋊₄Q₈⋊₅C₂² = D₁₂⋊₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	48	8-	C3^2:4Q8:5C2^2	288,580
C₃²⋊₄Q₈⋊₆C₂² = D₁₂.₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	48	8-	C3^2:4Q8:6C2^2	288,588
C₃²⋊₄Q₈⋊₇C₂² = C₂₄⋊₈D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	72		C3^2:4Q8:7C2^2	288,768
C₃²⋊₄Q₈⋊₈C₂² = SD₁₆×C₃⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	72		C3^2:4Q8:8C2^2	288,770
C₃²⋊₄Q₈⋊₉C₂² = S₃×D₄⋊₂S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	48	8-	C3^2:4Q8:9C2^2	288,959
C₃²⋊₄Q₈⋊₁₀C₂² = D₁₂⋊₁₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	48	8-	C3^2:4Q8:10C2^2	288,961
C₃²⋊₄Q₈⋊₁₁C₂² = S₃²×Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	48	8-	C3^2:4Q8:11C2^2	288,965
C₃²⋊₄Q₈⋊₁₂C₂² = D₁₂⋊₁₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	48	8-	C3^2:4Q8:12C2^2	288,967
C₃²⋊₄Q₈⋊₁₃C₂² = C₂×C₂₄⋊₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	144		C3^2:4Q8:13C2^2	288,759
C₃²⋊₄Q₈⋊₁₄C₂² = C₂₄⋊₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	72		C3^2:4Q8:14C2^2	288,765
C₃²⋊₄Q₈⋊₁₅C₂² = C₂×D₁₂.S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	96		C3^2:4Q8:15C2^2	288,476
C₃²⋊₄Q₈⋊₁₆C₂² = D₁₂.₂₈D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	48	4	C3^2:4Q8:16C2^2	288,478
C₃²⋊₄Q₈⋊₁₇C₂² = C₆².₁₃₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	72		C3^2:4Q8:17C2^2	288,789
C₃²⋊₄Q₈⋊₁₈C₂² = C₂×C₃²⋊₉SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	144		C3^2:4Q8:18C2^2	288,790
C₃²⋊₄Q₈⋊₁₉C₂² = C₂×S₃×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	96		C3^2:4Q8:19C2^2	288,942
C₃²⋊₄Q₈⋊₂₀C₂² = C₂×D₁₂⋊₅S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	96		C3^2:4Q8:20C2^2	288,943
C₃²⋊₄Q₈⋊₂₁C₂² = S₃×C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	48	4	C3^2:4Q8:21C2^2	288,953
C₃²⋊₄Q₈⋊₂₂C₂² = D₁₂⋊₂₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	48	4	C3^2:4Q8:22C2^2	288,955
C₃²⋊₄Q₈⋊₂₃C₂² = C₂×C₁₂.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	144		C3^2:4Q8:23C2^2	288,1008
C₃²⋊₄Q₈⋊₂₄C₂² = C₃²⋊₈2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	72		C3^2:4Q8:24C2^2	288,1009
C₃²⋊₄Q₈⋊₂₅C₂² = C₂×Q₈×C₃⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	144		C3^2:4Q8:25C2^2	288,1010
C₃²⋊₄Q₈⋊₂₆C₂² = C₄○D₄×C₃⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	72		C3^2:4Q8:26C2^2	288,1013
C₃²⋊₄Q₈⋊₂₇C₂² = C₂×C₁₂.₅₉D₆	φ: trivial image	144		C3^2:4Q8:27C2^2	288,1006
C₃²⋊₄Q₈⋊₂₈C₂² = C₆².₁₅₄C₂³	φ: trivial image	72		C3^2:4Q8:28C2^2	288,1014

Non-split extensions G=N.Q with N=C₃²⋊₄Q₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₄Q₈.₁C₂² = S₃×Dic₁₂	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	96	4-	C3^2:4Q8.1C2^2	288,447
C₃²⋊₄Q₈.₂C₂² = C₂₄.₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	96	4-	C3^2:4Q8.2C2^2	288,448
C₃²⋊₄Q₈.₃C₂² = Dic₁₂⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	48	4	C3^2:4Q8.3C2^2	288,449
C₃²⋊₄Q₈.₄C₂² = D₆.₁D₁₂	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	48	4	C3^2:4Q8.4C2^2	288,454
C₃²⋊₄Q₈.₅C₂² = D₂₄⋊₇S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	96	4-	C3^2:4Q8.5C2^2	288,455
C₃²⋊₄Q₈.₆C₂² = Dic₆.₁₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	48	8-	C3^2:4Q8.6C2^2	288,577
C₃²⋊₄Q₈.₇C₂² = Dic₆.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	48	8-	C3^2:4Q8.7C2^2	288,579
C₃²⋊₄Q₈.₈C₂² = D₁₂.₂₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	48	8-	C3^2:4Q8.8C2^2	288,581
C₃²⋊₄Q₈.₉C₂² = D₁₂.₈D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	48	8-	C3^2:4Q8.9C2^2	288,584
C₃²⋊₄Q₈.₁₀C₂² = S₃×C₃⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	96	8-	C3^2:4Q8.10C2^2	288,590
C₃²⋊₄Q₈.₁₁C₂² = D₁₂.₁₁D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	96	8-	C3^2:4Q8.11C2^2	288,591
C₃²⋊₄Q₈.₁₂C₂² = Dic₆.₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	48	8-	C3^2:4Q8.12C2^2	288,592
C₃²⋊₄Q₈.₁₃C₂² = D₁₂.₂₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	96	8-	C3^2:4Q8.13C2^2	288,594
C₃²⋊₄Q₈.₁₄C₂² = D₁₂.₁₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	96	8-	C3^2:4Q8.14C2^2	288,595
C₃²⋊₄Q₈.₁₅C₂² = D₁₂.₁₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	48	8-	C3^2:4Q8.15C2^2	288,599
C₃²⋊₄Q₈.₁₆C₂² = C₂₄.₂₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	144		C3^2:4Q8.16C2^2	288,769
C₃²⋊₄Q₈.₁₇C₂² = C₂₄.₃₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	144		C3^2:4Q8.17C2^2	288,772
C₃²⋊₄Q₈.₁₈C₂² = C₂₄.₄₀D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	144		C3^2:4Q8.18C2^2	288,773
C₃²⋊₄Q₈.₁₉C₂² = Q₁₆×C₃⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	144		C3^2:4Q8.19C2^2	288,774
C₃²⋊₄Q₈.₂₀C₂² = C₂₄.₃₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	144		C3^2:4Q8.20C2^2	288,775
C₃²⋊₄Q₈.₂₁C₂² = Dic₆.₂₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	48	8-	C3^2:4Q8.21C2^2	288,957
C₃²⋊₄Q₈.₂₂C₂² = D₁₂.₂₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₄Q₈	48	8-	C3^2:4Q8.22C2^2	288,963
C₃²⋊₄Q₈.₂₃C₂² = C₂₄.₇₈D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	144		C3^2:4Q8.23C2^2	288,761
C₃²⋊₄Q₈.₂₄C₂² = C₂×C₃²⋊₅Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	288		C3^2:4Q8.24C2^2	288,762
C₃²⋊₄Q₈.₂₅C₂² = C₂₄.₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	144		C3^2:4Q8.25C2^2	288,766
C₃²⋊₄Q₈.₂₆C₂² = D₁₂.₂₇D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	48	4	C3^2:4Q8.26C2^2	288,477
C₃²⋊₄Q₈.₂₇C₂² = D₁₂.₂₉D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	48	4-	C3^2:4Q8.27C2^2	288,479
C₃²⋊₄Q₈.₂₈C₂² = Dic₆.₂₉D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	48	4	C3^2:4Q8.28C2^2	288,481
C₃²⋊₄Q₈.₂₉C₂² = C₂×C₃²⋊₃Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	96		C3^2:4Q8.29C2^2	288,483
C₃²⋊₄Q₈.₃₀C₂² = C₆².₁₃₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	144		C3^2:4Q8.30C2^2	288,799
C₃²⋊₄Q₈.₃₁C₂² = C₂×C₃²⋊₇Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	288		C3^2:4Q8.31C2^2	288,800
C₃²⋊₄Q₈.₃₂C₂² = C₆².₇₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	144		C3^2:4Q8.32C2^2	288,807
C₃²⋊₄Q₈.₃₃C₂² = C₆².₇₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	144		C3^2:4Q8.33C2^2	288,808
C₃²⋊₄Q₈.₃₄C₂² = D₁₂.₃₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	48	4	C3^2:4Q8.34C2^2	288,945
C₃²⋊₄Q₈.₃₅C₂² = D₁₂.₃₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	48	4-	C3^2:4Q8.35C2^2	288,946
C₃²⋊₄Q₈.₃₆C₂² = C₃²⋊₇2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	144		C3^2:4Q8.36C2^2	288,1012
C₃²⋊₄Q₈.₃₇C₂² = C₃²⋊₉2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	144		C3^2:4Q8.37C2^2	288,1015

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Extensions 1→N→G→Q→1 with N=C32⋊4Q8 and Q=C22

Extensions 1→N→G→Q→1 with N=C₃²⋊₄Q₈ and Q=C₂²