Extensions 1→N→G→Q→1 with N=C₂³⋊C₄ and Q=C₂²

Direct product G=N×Q with N=C₂³⋊C₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₂³⋊C₄		32		C2^2xC2^3:C4	128,1613

Semidirect products G=N:Q with N=C₂³⋊C₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊C₄⋊C₂² = D₄≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂³⋊C₄	8	4+	C2^3:C4:C2^2	128,928
C₂³⋊C₄⋊₂C₂² = C₂×C₂≀C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³⋊C₄	16		C2^3:C4:2C2^2	128,850
C₂³⋊C₄⋊₃C₂² = C₂×C₄²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³⋊C₄	16		C2^3:C4:3C2^2	128,856
C₂³⋊C₄⋊₄C₂² = C₄.₄D₄⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³⋊C₄	16	8+	C2^3:C4:4C2^2	128,860
C₂³⋊C₄⋊₅C₂² = C₂×C₂≀C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₂³⋊C₄	16		C2^3:C4:5C2^2	128,1755
C₂³⋊C₄⋊₆C₂² = C₂×C₂³.₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³⋊C₄	32		C2^3:C4:6C2^2	128,1756
C₂³⋊C₄⋊₇C₂² = C₂³.₇C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³⋊C₄	16	4	C2^3:C4:7C2^2	128,1757
C₂³⋊C₄⋊₈C₂² = C₂⁴⋊C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₂³⋊C₄	16	8+	C2^3:C4:8C2^2	128,1758
C₂³⋊C₄⋊₉C₂² = C₂³.₉C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³⋊C₄	16	8+	C2^3:C4:9C2^2	128,1759
C₂³⋊C₄⋊₁₀C₂² = C₂³.₁₀C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³⋊C₄	32	8-	C2^3:C4:10C2^2	128,1760
C₂³⋊C₄⋊₁₁C₂² = C₂×C₂³.C₂³	φ: trivial image	32		C2^3:C4:11C2^2	128,1614
C₂³⋊C₄⋊₁₂C₂² = C₂³.C₂⁴	φ: trivial image	16	8+	C2^3:C4:12C2^2	128,1615

Non-split extensions G=N.Q with N=C₂³⋊C₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊C₄.₁C₂² = C₄²⋊₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³⋊C₄	16	4	C2^3:C4.1C2^2	128,929
C₂³⋊C₄.₂C₂² = C₄².₁₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³⋊C₄	16	4	C2^3:C4.2C2^2	128,930
C₂³⋊C₄.₃C₂² = C₄²⋊₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³⋊C₄	16	8+	C2^3:C4.3C2^2	128,931
C₂³⋊C₄.₄C₂² = C₄²⋊₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³⋊C₄	16	8+	C2^3:C4.4C2^2	128,932
C₂³⋊C₄.₅C₂² = C₄².₁₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³⋊C₄	32	8-	C2^3:C4.5C2^2	128,933
C₂³⋊C₄.₆C₂² = C₂×C₂³.D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³⋊C₄	32		C2^3:C4.6C2^2	128,851
C₂³⋊C₄.₇C₂² = C₄○C₂≀C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³⋊C₄	16	4	C2^3:C4.7C2^2	128,852
C₂³⋊C₄.₈C₂² = C₂⁴.₃₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³⋊C₄	16	8+	C2^3:C4.8C2^2	128,853
C₂³⋊C₄.₉C₂² = C₂≀C₄⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂³⋊C₄	16	8+	C2^3:C4.9C2^2	128,854
C₂³⋊C₄.₁₀C₂² = C₂³.(C₂×D₄)	φ: C₂²/C₂ → C₂ ⊆ Out C₂³⋊C₄	32	8-	C2^3:C4.10C2^2	128,855
C₂³⋊C₄.₁₁C₂² = C₂×C₄²⋊₃C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³⋊C₄	32		C2^3:C4.11C2^2	128,857
C₂³⋊C₄.₁₂C₂² = C₄⋊Q₈⋊₂₉C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³⋊C₄	16	4	C2^3:C4.12C2^2	128,858
C₂³⋊C₄.₁₃C₂² = C₂⁴.₃₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³⋊C₄	16	8+	C2^3:C4.13C2^2	128,859
C₂³⋊C₄.₁₄C₂² = C₄⋊Q₈⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³⋊C₄	32	8-	C2^3:C4.14C2^2	128,861
C₂³⋊C₄.₁₅C₂² = C₂³.₄C₂⁴	φ: trivial image	32	8-	C2^3:C4.15C2^2	128,1616

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