Extensions 1→N→G→Q→1 with N=D₄₂ and Q=C₂²

Direct product G=N×Q with N=D₄₂ and Q=C₂²

		d	ρ	Label	ID
C₂³×D₂₁		168		C2^3xD21	336,227

Semidirect products G=N:Q with N=D₄₂ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₂⋊₁C₂² = D₇×D₁₂	φ: C₂²/C₁ → C₂² ⊆ Out D₄₂	84	4+	D42:1C2^2	336,148
D₄₂⋊₂C₂² = S₃×D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out D₄₂	84	4+	D42:2C2^2	336,149
D₄₂⋊₃C₂² = D₇×C₃⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄₂	84	4	D42:3C2^2	336,161
D₄₂⋊₄C₂² = S₃×C₇⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄₂	84	4	D42:4C2^2	336,162
D₄₂⋊₅C₂² = C₂×D₈₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄₂	168		D42:5C2^2	336,196
D₄₂⋊₆C₂² = D₄×D₂₁	φ: C₂²/C₂ → C₂ ⊆ Out D₄₂	84	4+	D42:6C2^2	336,198
D₄₂⋊₇C₂² = C₂×C₂₁⋊₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄₂	168		D42:7C2^2	336,203
D₄₂⋊₈C₂² = C₂×C₃⋊D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄₂	168		D42:8C2^2	336,158
D₄₂⋊₉C₂² = C₂×C₇⋊D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄₂	168		D42:9C2^2	336,159
D₄₂⋊₁₀C₂² = D₆⋊D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄₂	84	4+	D42:10C2^2	336,163
D₄₂⋊₁₁C₂² = C₂²×S₃×D₇	φ: C₂²/C₂ → C₂ ⊆ Out D₄₂	84		D42:11C2^2	336,219

Non-split extensions G=N.Q with N=D₄₂ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₂.₁C₂² = D₈₄⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out D₄₂	168	4+	D42.1C2^2	336,142
D₄₂.₂C₂² = D₁₄.D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄₂	168	4+	D42.2C2^2	336,146
D₄₂.₃C₂² = Dic₇.D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄₂	168	4	D42.3C2^2	336,152
D₄₂.₄C₂² = Dic₃.D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄₂	168	4	D42.4C2^2	336,155
D₄₂.₅C₂² = D₈₄⋊₁₁C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄₂	168	2	D42.5C2^2	336,197
D₄₂.₆C₂² = D₄⋊₂D₂₁	φ: C₂²/C₂ → C₂ ⊆ Out D₄₂	168	4-	D42.6C2^2	336,199
D₄₂.₇C₂² = Q₈⋊₃D₂₁	φ: C₂²/C₂ → C₂ ⊆ Out D₄₂	168	4+	D42.7C2^2	336,201
D₄₂.₈C₂² = D₂₈⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₄₂	168	4	D42.8C2^2	336,139
D₄₂.₉C₂² = D₁₂⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out D₄₂	168	4	D42.9C2^2	336,141
D₄₂.₁₀C₂² = D₂₁⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄₂	168	4	D42.10C2^2	336,143
D₄₂.₁₁C₂² = D₆.D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄₂	168	4	D42.11C2^2	336,144
D₄₂.₁₂C₂² = C₄×S₃×D₇	φ: C₂²/C₂ → C₂ ⊆ Out D₄₂	84	4	D42.12C2^2	336,147
D₄₂.₁₃C₂² = C₂₈⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄₂	84	4	D42.13C2^2	336,150
D₄₂.₁₄C₂² = C₂×D₂₁⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄₂	168		D42.14C2^2	336,156
D₄₂.₁₅C₂² = C₂×C₄×D₂₁	φ: trivial image	168		D42.15C2^2	336,195
D₄₂.₁₆C₂² = Q₈×D₂₁	φ: trivial image	168	4-	D42.16C2^2	336,200

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