Extensions 1→N→G→Q→1 with N=Q₈×D₇ and Q=C₂²

Direct product G=N×Q with N=Q₈×D₇ and Q=C₂²

		d	ρ	Label	ID
C₂²×Q₈×D₇		224		C2^2xQ8xD7	448,1372

Semidirect products G=N:Q with N=Q₈×D₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×D₇)⋊₁C₂² = D₂₈.₂₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×D₇	112	4	(Q8xD7):1C2^2	448,1215
(Q₈×D₇)⋊₂C₂² = D₈⋊₁₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×D₇	112	4	(Q8xD7):2C2^2	448,1223
(Q₈×D₇)⋊₃C₂² = D₈⋊₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×D₇	112	8-	(Q8xD7):3C2^2	448,1228
(Q₈×D₇)⋊₄C₂² = C₅₆.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×D₇	112	8+	(Q8xD7):4C2^2	448,1231
(Q₈×D₇)⋊₅C₂² = C₂×D₇×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₇	112		(Q8xD7):5C2^2	448,1211
(Q₈×D₇)⋊₆C₂² = C₂×SD₁₆⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₇	224		(Q8xD7):6C2^2	448,1213
(Q₈×D₇)⋊₇C₂² = C₂×Q₁₆⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₇	224		(Q8xD7):7C2^2	448,1217
(Q₈×D₇)⋊₈C₂² = D₈⋊₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₇	112	4	(Q8xD7):8C2^2	448,1221
(Q₈×D₇)⋊₉C₂² = D₇×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₇	56	8+	(Q8xD7):9C2^2	448,1225
(Q₈×D₇)⋊₁₀C₂² = SD₁₆⋊D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₇	112	8-	(Q8xD7):10C2^2	448,1226
(Q₈×D₇)⋊₁₁C₂² = D₇×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₇	112	8-	(Q8xD7):11C2^2	448,1229
(Q₈×D₇)⋊₁₂C₂² = D₅₆⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₇	112	8+	(Q8xD7):12C2^2	448,1230
(Q₈×D₇)⋊₁₃C₂² = C₂×Q₈.₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₇	224		(Q8xD7):13C2^2	448,1374
(Q₈×D₇)⋊₁₄C₂² = C₂×D₄.₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₇	224		(Q8xD7):14C2^2	448,1377
(Q₈×D₇)⋊₁₅C₂² = C₁₄.C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₇	112	4	(Q8xD7):15C2^2	448,1378
(Q₈×D₇)⋊₁₆C₂² = D₁₄.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₇	112	8-	(Q8xD7):16C2^2	448,1380
(Q₈×D₇)⋊₁₇C₂² = D₇×2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₇	112	8-	(Q8xD7):17C2^2	448,1381
(Q₈×D₇)⋊₁₈C₂² = D₂₈.₃₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₇	112	8+	(Q8xD7):18C2^2	448,1382
(Q₈×D₇)⋊₁₉C₂² = C₂×D₇×C₄○D₄	φ: trivial image	112		(Q8xD7):19C2^2	448,1375
(Q₈×D₇)⋊₂₀C₂² = D₇×2₊¹⁺⁴	φ: trivial image	56	8+	(Q8xD7):20C2^2	448,1379

Non-split extensions G=N.Q with N=Q₈×D₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×D₇).₁C₂² = D₂₈.₃₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×D₇	224	4	(Q8xD7).1C2^2	448,1219
(Q₈×D₇).₂C₂² = D₈.₁₀D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×D₇	224	4-	(Q8xD7).2C2^2	448,1224
(Q₈×D₇).₃C₂² = D₂₈.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×D₇	224	8-	(Q8xD7).3C2^2	448,1232
(Q₈×D₇).₄C₂² = C₂×D₇×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₇	224		(Q8xD7).4C2^2	448,1216
(Q₈×D₇).₅C₂² = D₇×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₇	112	4	(Q8xD7).5C2^2	448,1220

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Extensions 1→N→G→Q→1 with N=Q8×D7 and Q=C22

Extensions 1→N→G→Q→1 with N=Q₈×D₇ and Q=C₂²