Extensions 1→N→G→Q→1 with N=C₅⋊₂C₁₆ and Q=C₂²

Direct product G=N×Q with N=C₅⋊₂C₁₆ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₅⋊₂C₁₆		320		C2^2xC5:2C16	320,723

Semidirect products G=N:Q with N=C₅⋊₂C₁₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₁₆⋊₁C₂² = D₁₆⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅⋊₂C₁₆	80	4	C5:2C16:1C2^2	320,538
C₅⋊₂C₁₆⋊₂C₂² = C₁₆⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅⋊₂C₁₆	80	4+	C5:2C16:2C2^2	320,541
C₅⋊₂C₁₆⋊₃C₂² = D₈.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅⋊₂C₁₆	80	4	C5:2C16:3C2^2	320,774
C₅⋊₂C₁₆⋊₄C₂² = D₈⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅⋊₂C₁₆	80	4+	C5:2C16:4C2^2	320,820
C₅⋊₂C₁₆⋊₅C₂² = D₅×D₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊₂C₁₆	80	4+	C5:2C16:5C2^2	320,537
C₅⋊₂C₁₆⋊₆C₂² = D₅×SD₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊₂C₁₆	80	4	C5:2C16:6C2^2	320,540
C₅⋊₂C₁₆⋊₇C₂² = C₂×C₅⋊D₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊₂C₁₆	160		C5:2C16:7C2^2	320,773
C₅⋊₂C₁₆⋊₈C₂² = C₂×D₈.D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊₂C₁₆	160		C5:2C16:8C2^2	320,775
C₅⋊₂C₁₆⋊₉C₂² = C₂×C₅⋊SD₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊₂C₁₆	160		C5:2C16:9C2^2	320,805
C₅⋊₂C₁₆⋊₁₀C₂² = C₂×C₈₀⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊₂C₁₆	160		C5:2C16:10C2^2	320,527
C₅⋊₂C₁₆⋊₁₁C₂² = D₅×M₅(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊₂C₁₆	80	4	C5:2C16:11C2^2	320,533
C₅⋊₂C₁₆⋊₁₂C₂² = C₂×C₂₀.₄C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊₂C₁₆	160		C5:2C16:12C2^2	320,724
C₅⋊₂C₁₆⋊₁₃C₂² = D₅×C₂×C₁₆	φ: trivial image	160		C5:2C16:13C2^2	320,526

Non-split extensions G=N.Q with N=C₅⋊₂C₁₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₁₆.₁C₂² = SD₃₂⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅⋊₂C₁₆	160	4-	C5:2C16.1C2^2	320,542
C₅⋊₂C₁₆.₂C₂² = Q₃₂⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅⋊₂C₁₆	160	4	C5:2C16.2C2^2	320,545
C₅⋊₂C₁₆.₃C₂² = Q₁₆.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅⋊₂C₁₆	160	4	C5:2C16.3C2^2	320,806
C₅⋊₂C₁₆.₄C₂² = C₄₀.₃₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₅⋊₂C₁₆	160	4-	C5:2C16.4C2^2	320,822
C₅⋊₂C₁₆.₅C₂² = D₁₆⋊₃D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊₂C₁₆	160	4-	C5:2C16.5C2^2	320,539
C₅⋊₂C₁₆.₆C₂² = SD₃₂⋊₃D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊₂C₁₆	160	4	C5:2C16.6C2^2	320,543
C₅⋊₂C₁₆.₇C₂² = D₅×Q₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊₂C₁₆	160	4-	C5:2C16.7C2^2	320,544
C₅⋊₂C₁₆.₈C₂² = D₈₀⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊₂C₁₆	160	4+	C5:2C16.8C2^2	320,546
C₅⋊₂C₁₆.₉C₂² = C₂×C₅⋊Q₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊₂C₁₆	320		C5:2C16.9C2^2	320,807
C₅⋊₂C₁₆.₁₀C₂² = C₄₀.₃₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊₂C₁₆	160	4	C5:2C16.10C2^2	320,821
C₅⋊₂C₁₆.₁₁C₂² = D₂₀.₆C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊₂C₁₆	160	2	C5:2C16.11C2^2	320,528
C₅⋊₂C₁₆.₁₂C₂² = C₄₀.₇₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊₂C₁₆	160	4	C5:2C16.12C2^2	320,767
C₅⋊₂C₁₆.₁₃C₂² = D₅⋊C₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊₂C₁₆	160	4	C5:2C16.13C2^2	320,179
C₅⋊₂C₁₆.₁₄C₂² = C₈₀.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊₂C₁₆	160	4	C5:2C16.14C2^2	320,180
C₅⋊₂C₁₆.₁₅C₂² = C₂×C₅⋊C₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊₂C₁₆	320		C5:2C16.15C2^2	320,214
C₅⋊₂C₁₆.₁₆C₂² = C₅⋊M₆(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊₂C₁₆	160	4	C5:2C16.16C2^2	320,215
C₅⋊₂C₁₆.₁₇C₂² = D₂₀.₅C₈	φ: trivial image	160	4	C5:2C16.17C2^2	320,534

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