Extensions 1→N→G→Q→1 with N=C₃²⋊₇D₄ and Q=C₂²

Direct product G=N×Q with N=C₃²⋊₇D₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₃²⋊₇D₄		144		C2^2xC3^2:7D4	288,1017

Semidirect products G=N:Q with N=C₃²⋊₇D₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₇D₄⋊₁C₂² = S₃²×D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₇D₄	24	8+	C3^2:7D4:1C2^2	288,958
C₃²⋊₇D₄⋊₂C₂² = S₃×D₄⋊₂S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₇D₄	48	8-	C3^2:7D4:2C2^2	288,959
C₃²⋊₇D₄⋊₃C₂² = Dic₆⋊₁₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₇D₄	24	8+	C3^2:7D4:3C2^2	288,960
C₃²⋊₇D₄⋊₄C₂² = D₁₂⋊₁₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₇D₄	48	8-	C3^2:7D4:4C2^2	288,961
C₃²⋊₇D₄⋊₅C₂² = D₁₂⋊₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₇D₄	24	8+	C3^2:7D4:5C2^2	288,962
C₃²⋊₇D₄⋊₆C₂² = S₃×C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₇D₄	48	4	C3^2:7D4:6C2^2	288,953
C₃²⋊₇D₄⋊₇C₂² = D₁₂⋊₂₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₇D₄	48	4	C3^2:7D4:7C2^2	288,955
C₃²⋊₇D₄⋊₈C₂² = C₂×D₆.₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₇D₄	48		C3^2:7D4:8C2^2	288,970
C₃²⋊₇D₄⋊₉C₂² = C₂×S₃×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₇D₄	48		C3^2:7D4:9C2^2	288,976
C₃²⋊₇D₄⋊₁₀C₂² = C₃²⋊2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₇D₄	24	4	C3^2:7D4:10C2^2	288,978
C₃²⋊₇D₄⋊₁₁C₂² = C₂×D₄×C₃⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₇D₄	72		C3^2:7D4:11C2^2	288,1007
C₃²⋊₇D₄⋊₁₂C₂² = C₂×C₁₂.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₇D₄	144		C3^2:7D4:12C2^2	288,1008
C₃²⋊₇D₄⋊₁₃C₂² = C₃²⋊₈2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₇D₄	72		C3^2:7D4:13C2^2	288,1009
C₃²⋊₇D₄⋊₁₄C₂² = C₄○D₄×C₃⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₇D₄	72		C3^2:7D4:14C2^2	288,1013
C₃²⋊₇D₄⋊₁₅C₂² = C₆².₁₅₄C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₇D₄	72		C3^2:7D4:15C2^2	288,1014
C₃²⋊₇D₄⋊₁₆C₂² = C₂×C₁₂.₅₉D₆	φ: trivial image	144		C3^2:7D4:16C2^2	288,1006

Non-split extensions G=N.Q with N=C₃²⋊₇D₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₇D₄.C₂² = Dic₆.₂₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₇D₄	48	8-	C3^2:7D4.C2^2	288,957
C₃²⋊₇D₄.₂C₂² = D₁₂.₃₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₇D₄	48	4	C3^2:7D4.2C2^2	288,945
C₃²⋊₇D₄.₃C₂² = C₃²⋊₉2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₇D₄	144		C3^2:7D4.3C2^2	288,1015
C₃²⋊₇D₄.₄C₂² = C₃²⋊₇2_-¹⁺⁴	φ: trivial image	144		C3^2:7D4.4C2^2	288,1012

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