Extensions 1→N→G→Q→1 with N=C₃⋊C₁₆ and Q=C₂²

Direct product G=N×Q with N=C₃⋊C₁₆ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₃⋊C₁₆		192		C2^2xC3:C16	192,655

Semidirect products G=N:Q with N=C₃⋊C₁₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₁₆⋊₁C₂² = D₈⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊C₁₆	48	4	C3:C16:1C2^2	192,470
C₃⋊C₁₆⋊₂C₂² = D₄₈⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊C₁₆	48	4+	C3:C16:2C2^2	192,473
C₃⋊C₁₆⋊₃C₂² = D₈.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊C₁₆	48	4	C3:C16:3C2^2	192,706
C₃⋊C₁₆⋊₄C₂² = Q₁₆⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊C₁₆	48	4+	C3:C16:4C2^2	192,752
C₃⋊C₁₆⋊₅C₂² = S₃×D₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₁₆	48	4+	C3:C16:5C2^2	192,469
C₃⋊C₁₆⋊₆C₂² = S₃×SD₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₁₆	48	4	C3:C16:6C2^2	192,472
C₃⋊C₁₆⋊₇C₂² = C₂×C₃⋊D₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₁₆	96		C3:C16:7C2^2	192,705
C₃⋊C₁₆⋊₈C₂² = C₂×D₈.S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₁₆	96		C3:C16:8C2^2	192,707
C₃⋊C₁₆⋊₉C₂² = C₂×C₈.₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₁₆	96		C3:C16:9C2^2	192,737
C₃⋊C₁₆⋊₁₀C₂² = C₂×D₆.C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₁₆	96		C3:C16:10C2^2	192,459
C₃⋊C₁₆⋊₁₁C₂² = S₃×M₅(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₁₆	48	4	C3:C16:11C2^2	192,465
C₃⋊C₁₆⋊₁₂C₂² = C₂×C₁₂.C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₁₆	96		C3:C16:12C2^2	192,656
C₃⋊C₁₆⋊₁₃C₂² = S₃×C₂×C₁₆	φ: trivial image	96		C3:C16:13C2^2	192,458

Non-split extensions G=N.Q with N=C₃⋊C₁₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₁₆.₁C₂² = SD₃₂⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊C₁₆	96	4-	C3:C16.1C2^2	192,474
C₃⋊C₁₆.₂C₂² = Q₃₂⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊C₁₆	96	4	C3:C16.2C2^2	192,477
C₃⋊C₁₆.₃C₂² = C₂₄.₂₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊C₁₆	96	4	C3:C16.3C2^2	192,738
C₃⋊C₁₆.₄C₂² = D₈.₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊C₁₆	96	4-	C3:C16.4C2^2	192,754
C₃⋊C₁₆.₅C₂² = D₁₆⋊₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₁₆	96	4-	C3:C16.5C2^2	192,471
C₃⋊C₁₆.₆C₂² = D₆.₂D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₁₆	96	4	C3:C16.6C2^2	192,475
C₃⋊C₁₆.₇C₂² = S₃×Q₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₁₆	96	4-	C3:C16.7C2^2	192,476
C₃⋊C₁₆.₈C₂² = D₄₈⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₁₆	96	4+	C3:C16.8C2^2	192,478
C₃⋊C₁₆.₉C₂² = C₂×C₃⋊Q₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₁₆	192		C3:C16.9C2^2	192,739
C₃⋊C₁₆.₁₀C₂² = Q₁₆.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₁₆	96	4	C3:C16.10C2^2	192,753
C₃⋊C₁₆.₁₁C₂² = D₁₂.₄C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₁₆	96	2	C3:C16.11C2^2	192,460
C₃⋊C₁₆.₁₂C₂² = C₂₄.₇₈C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₁₆	96	4	C3:C16.12C2^2	192,699
C₃⋊C₁₆.₁₃C₂² = C₁₆.₁₂D₆	φ: trivial image	96	4	C3:C16.13C2^2	192,466

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