Extensions 1→N→G→Q→1 with N=C₂³×Dic₇ and Q=C₂

Direct product G=N×Q with N=C₂³×Dic₇ and Q=C₂

		d	ρ	Label	ID
C₂⁴×Dic₇		448		C2^4xDic7	448,1383

Semidirect products G=N:Q with N=C₂³×Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×Dic₇)⋊₁C₂ = C₂³.₄₅D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	224		(C2^3xDic7):1C2	448,492
(C₂³×Dic₇)⋊₂C₂ = C₂⁴.₁₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	224		(C2^3xDic7):2C2	448,754
(C₂³×Dic₇)⋊₃C₂ = C₂×Dic₇⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	224		(C2^3xDic7):3C2	448,938
(C₂³×Dic₇)⋊₄C₂ = C₂×C₂².D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	224		(C2^3xDic7):4C2	448,945
(C₂³×Dic₇)⋊₅C₂ = C₂⁴.₅₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	112		(C2^3xDic7):5C2	448,1039
(C₂³×Dic₇)⋊₆C₂ = C₂²×D₁₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	224		(C2^3xDic7):6C2	448,1240
(C₂³×Dic₇)⋊₇C₂ = C₂×D₄×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	224		(C2^3xDic7):7C2	448,1248
(C₂³×Dic₇)⋊₈C₂ = C₂×C₂³.₁₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	224		(C2^3xDic7):8C2	448,1249
(C₂³×Dic₇)⋊₉C₂ = C₂×Dic₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	224		(C2^3xDic7):9C2	448,1255
(C₂³×Dic₇)⋊₁₀C₂ = C₂²×C₂³.D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	224		(C2^3xDic7):10C2	448,1292
(C₂³×Dic₇)⋊₁₁C₂ = C₂²×D₄⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	224		(C2^3xDic7):11C2	448,1370
(C₂³×Dic₇)⋊₁₂C₂ = C₂³×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	224		(C2^3xDic7):12C2	448,1384
(C₂³×Dic₇)⋊₁₃C₂ = D₇×C₂³×C₄	φ: trivial image	224		(C2^3xDic7):13C2	448,1366

Non-split extensions G=N.Q with N=C₂³×Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×Dic₇).₁C₂ = C₂²⋊C₄×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	224		(C2^3xDic7).1C2	448,475
(C₂³×Dic₇).₂C₂ = C₂⁴.₄₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	224		(C2^3xDic7).2C2	448,476
(C₂³×Dic₇).₃C₂ = C₂³.₄₂D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	224		(C2^3xDic7).3C2	448,477
(C₂³×Dic₇).₄C₂ = C₂⁴.₄₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	224		(C2^3xDic7).4C2	448,480
(C₂³×Dic₇).₅C₂ = C₂⁴.₄₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	224		(C2^3xDic7).5C2	448,484
(C₂³×Dic₇).₆C₂ = C₂×C₁₄.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	448		(C2^3xDic7).6C2	448,742
(C₂³×Dic₇).₇C₂ = C₂×C₂³.₁₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	224		(C2^3xDic7).7C2	448,933
(C₂³×Dic₇).₈C₂ = C₂×C₂²⋊Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	224		(C2^3xDic7).8C2	448,934
(C₂³×Dic₇).₉C₂ = C₂²×Dic₇⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	448		(C2^3xDic7).9C2	448,1236
(C₂³×Dic₇).₁₀C₂ = C₂²×C₄⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	448		(C2^3xDic7).10C2	448,1238
(C₂³×Dic₇).₁₁C₂ = C₂³×Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₇	448		(C2^3xDic7).11C2	448,1365
(C₂³×Dic₇).₁₂C₂ = C₂²×C₄×Dic₇	φ: trivial image	448		(C2^3xDic7).12C2	448,1235

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