Extensions 1→N→G→Q→1 with N=C₃³⋊₅C₄ and Q=C₂²

Direct product G=N×Q with N=C₃³⋊₅C₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₃³⋊₅C₄		432		C2^2xC3^3:5C4	432,728

Semidirect products G=N:Q with N=C₃³⋊₅C₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊₅C₄⋊₁C₂² = S₃²×Dic₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃³⋊₅C₄	48	8-	C3^3:5C4:1C2^2	432,594
C₃³⋊₅C₄⋊₂C₂² = Dic₃⋊₆S₃²	φ: C₂²/C₁ → C₂² ⊆ Out C₃³⋊₅C₄	48	8-	C3^3:5C4:2C2^2	432,596
C₃³⋊₅C₄⋊₃C₂² = S₃×D₆⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃³⋊₅C₄	48	8-	C3^3:5C4:3C2^2	432,597
C₃³⋊₅C₄⋊₄C₂² = D₆⋊S₃²	φ: C₂²/C₁ → C₂² ⊆ Out C₃³⋊₅C₄	48	8-	C3^3:5C4:4C2^2	432,600
C₃³⋊₅C₄⋊₅C₂² = S₃×C₃²⋊₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃³⋊₅C₄	72		C3^3:5C4:5C2^2	432,684
C₃³⋊₅C₄⋊₆C₂² = C₃⋊S₃×C₃⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃³⋊₅C₄	72		C3^3:5C4:6C2^2	432,685
C₃³⋊₅C₄⋊₇C₂² = C₄×S₃×C₃⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	72		C3^3:5C4:7C2^2	432,670
C₃³⋊₅C₄⋊₈C₂² = C₁₂⋊S₃²	φ: C₂²/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	72		C3^3:5C4:8C2^2	432,673
C₃³⋊₅C₄⋊₉C₂² = C₂×S₃×C₃⋊Dic₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	144		C3^3:5C4:9C2^2	432,674
C₃³⋊₅C₄⋊₁₀C₂² = C₂×Dic₃×C₃⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	144		C3^3:5C4:10C2^2	432,677
C₃³⋊₅C₄⋊₁₁C₂² = C₂×C₃³⋊₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	144		C3^3:5C4:11C2^2	432,680
C₃³⋊₅C₄⋊₁₂C₂² = D₄×C₃³⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	108		C3^3:5C4:12C2^2	432,724
C₃³⋊₅C₄⋊₁₃C₂² = C₂×C₃³⋊₁₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	216		C3^3:5C4:13C2^2	432,729
C₃³⋊₅C₄⋊₁₄C₂² = C₂×C₄×C₃³⋊C₂	φ: trivial image	216		C3^3:5C4:14C2^2	432,721

Non-split extensions G=N.Q with N=C₃³⋊₅C₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊₅C₄.₁C₂² = S₃×C₃²⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₃³⋊₅C₄	48	8-	C3^3:5C4.1C2^2	432,603
C₃³⋊₅C₄.₂C₂² = C₃³⋊₅(C₂×Q₈)	φ: C₂²/C₁ → C₂² ⊆ Out C₃³⋊₅C₄	48	8-	C3^3:5C4.2C2^2	432,604
C₃³⋊₅C₄.₃C₂² = D₆.S₃²	φ: C₂²/C₁ → C₂² ⊆ Out C₃³⋊₅C₄	48	8-	C3^3:5C4.3C2^2	432,607
C₃³⋊₅C₄.₄C₂² = D₆.₄S₃²	φ: C₂²/C₁ → C₂² ⊆ Out C₃³⋊₅C₄	48	8-	C3^3:5C4.4C2^2	432,608
C₃³⋊₅C₄.₅C₂² = D₆⋊S₃⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃³⋊₅C₄	48	8-	C3^3:5C4.5C2^2	432,610
C₃³⋊₅C₄.₆C₂² = D₆.₆S₃²	φ: C₂²/C₁ → C₂² ⊆ Out C₃³⋊₅C₄	48	8-	C3^3:5C4.6C2^2	432,611
C₃³⋊₅C₄.₇C₂² = S₃×C₃²⋊₄Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₃³⋊₅C₄	144		C3^3:5C4.7C2^2	432,660
C₃³⋊₅C₄.₈C₂² = (C₃×D₁₂)⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃³⋊₅C₄	144		C3^3:5C4.8C2^2	432,661
C₃³⋊₅C₄.₉C₂² = C₃⋊S₃×Dic₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃³⋊₅C₄	144		C3^3:5C4.9C2^2	432,663
C₃³⋊₅C₄.₁₀C₂² = C₁₂.₅₇S₃²	φ: C₂²/C₁ → C₂² ⊆ Out C₃³⋊₅C₄	144		C3^3:5C4.10C2^2	432,668
C₃³⋊₅C₄.₁₁C₂² = C₆².₉₀D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃³⋊₅C₄	72		C3^3:5C4.11C2^2	432,675
C₃³⋊₅C₄.₁₂C₂² = C₆².₉₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃³⋊₅C₄	72		C3^3:5C4.12C2^2	432,678
C₃³⋊₅C₄.₁₃C₂² = D₁₂⋊(C₃⋊S₃)	φ: C₂²/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	72		C3^3:5C4.13C2^2	432,662
C₃³⋊₅C₄.₁₄C₂² = C₁₂.₃₉S₃²	φ: C₂²/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	72		C3^3:5C4.14C2^2	432,664
C₃³⋊₅C₄.₁₅C₂² = C₃²⋊₉(S₃×Q₈)	φ: C₂²/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	72		C3^3:5C4.15C2^2	432,666
C₃³⋊₅C₄.₁₆C₂² = C₁₂.₇₃S₃²	φ: C₂²/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	72		C3^3:5C4.16C2^2	432,667
C₃³⋊₅C₄.₁₇C₂² = C₆².₉₁D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	72		C3^3:5C4.17C2^2	432,676
C₃³⋊₅C₄.₁₈C₂² = C₂×C₃³⋊₄Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	144		C3^3:5C4.18C2^2	432,683
C₃³⋊₅C₄.₁₉C₂² = C₂×C₃³⋊₈Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	432		C3^3:5C4.19C2^2	432,720
C₃³⋊₅C₄.₂₀C₂² = C₆².₁₆₀D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	216		C3^3:5C4.20C2^2	432,723
C₃³⋊₅C₄.₂₁C₂² = C₆².₁₀₀D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	216		C3^3:5C4.21C2^2	432,725
C₃³⋊₅C₄.₂₂C₂² = Q₈×C₃³⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	216		C3^3:5C4.22C2^2	432,726
C₃³⋊₅C₄.₂₃C₂² = (Q₈×C₃³)⋊C₂	φ: trivial image	216		C3^3:5C4.23C2^2	432,727

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Extensions 1→N→G→Q→1 with N=C33⋊5C4 and Q=C22

Extensions 1→N→G→Q→1 with N=C₃³⋊₅C₄ and Q=C₂²