Extensions 1→N→G→Q→1 with N=Dic₇ and Q=C₂⁴

Direct product G=N×Q with N=Dic₇ and Q=C₂⁴

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

Semidirect products G=N:Q with N=Dic₇ and Q=C₂⁴

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇⋊₁C₂⁴ = C₂²×D₄×D₇	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₇	112		Dic7:1C2^4	448,1369
Dic₇⋊₂C₂⁴ = C₂³×C₇⋊D₄	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₇	224		Dic7:2C2^4	448,1384
Dic₇⋊₃C₂⁴ = D₇×C₂³×C₄	φ: trivial image	224		Dic7:3C2^4	448,1366

Non-split extensions G=N.Q with N=Dic₇ and Q=C₂⁴

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇.₁C₂⁴ = C₂³×Dic₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₇	448		Dic7.1C2^4	448,1365
Dic₇.₂C₂⁴ = C₂²×C₄○D₂₈	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₇	224		Dic7.2C2^4	448,1368
Dic₇.₃C₂⁴ = C₂×D₄⋊₆D₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₇	112		Dic7.3C2^4	448,1371
Dic₇.₄C₂⁴ = C₂²×Q₈×D₇	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₇	224		Dic7.4C2^4	448,1372
Dic₇.₅C₂⁴ = C₂×Q₈.₁₀D₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₇	224		Dic7.5C2^4	448,1374
Dic₇.₆C₂⁴ = C₂×D₇×C₄○D₄	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₇	112		Dic7.6C2^4	448,1375
Dic₇.₇C₂⁴ = C₂×D₄⋊₈D₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₇	112		Dic7.7C2^4	448,1376
Dic₇.₈C₂⁴ = C₂×D₄.₁₀D₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₇	224		Dic7.8C2^4	448,1377
Dic₇.₉C₂⁴ = C₁₄.C₂⁵	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₇	112	4	Dic7.9C2^4	448,1378
Dic₇.₁₀C₂⁴ = D₇×2₊¹⁺⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₇	56	8+	Dic7.10C2^4	448,1379
Dic₇.₁₁C₂⁴ = D₁₄.C₂⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₇	112	8-	Dic7.11C2^4	448,1380
Dic₇.₁₂C₂⁴ = D₇×2_-¹⁺⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₇	112	8-	Dic7.12C2^4	448,1381
Dic₇.₁₃C₂⁴ = D₂₈.₃₉C₂³	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₇	112	8+	Dic7.13C2^4	448,1382
Dic₇.₁₄C₂⁴ = C₂²×D₄⋊₂D₇	φ: trivial image	224		Dic7.14C2^4	448,1370
Dic₇.₁₅C₂⁴ = C₂²×Q₈⋊₂D₇	φ: trivial image	224		Dic7.15C2^4	448,1373

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