Extensions 1→N→G→Q→1 with N=Q₈⋊₂D₇ and Q=C₂²

Direct product G=N×Q with N=Q₈⋊₂D₇ and Q=C₂²

		d	ρ	Label	ID
C₂²×Q₈⋊₂D₇		224		C2^2xQ8:2D7	448,1373

Semidirect products G=N:Q with N=Q₈⋊₂D₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₂D₇⋊₁C₂² = D₂₈.₂₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊₂D₇	112	4	Q8:2D7:1C2^2	448,1215
Q₈⋊₂D₇⋊₂C₂² = D₈⋊₁₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊₂D₇	112	4+	Q8:2D7:2C2^2	448,1222
Q₈⋊₂D₇⋊₃C₂² = D₈⋊₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊₂D₇	112	8+	Q8:2D7:3C2^2	448,1227
Q₈⋊₂D₇⋊₄C₂² = C₅₆.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊₂D₇	112	8+	Q8:2D7:4C2^2	448,1231
Q₈⋊₂D₇⋊₅C₂² = C₂×D₅₆⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₇	112		Q8:2D7:5C2^2	448,1212
Q₈⋊₂D₇⋊₆C₂² = C₂×SD₁₆⋊₃D₇	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₇	224		Q8:2D7:6C2^2	448,1214
Q₈⋊₂D₇⋊₇C₂² = C₂×Q₈.D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₇	224		Q8:2D7:7C2^2	448,1218
Q₈⋊₂D₇⋊₈C₂² = D₇×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₇	112	4	Q8:2D7:8C2^2	448,1220
Q₈⋊₂D₇⋊₉C₂² = D₇×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₇	56	8+	Q8:2D7:9C2^2	448,1225
Q₈⋊₂D₇⋊₁₀C₂² = SD₁₆⋊D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₇	112	8-	Q8:2D7:10C2^2	448,1226
Q₈⋊₂D₇⋊₁₁C₂² = D₅₆⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₇	112	8+	Q8:2D7:11C2^2	448,1230
Q₈⋊₂D₇⋊₁₂C₂² = C₂×Q₈.₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₇	224		Q8:2D7:12C2^2	448,1374
Q₈⋊₂D₇⋊₁₃C₂² = C₂×D₄⋊₈D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₇	112		Q8:2D7:13C2^2	448,1376
Q₈⋊₂D₇⋊₁₄C₂² = C₁₄.C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₇	112	4	Q8:2D7:14C2^2	448,1378
Q₈⋊₂D₇⋊₁₅C₂² = D₇×2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₇	56	8+	Q8:2D7:15C2^2	448,1379
Q₈⋊₂D₇⋊₁₆C₂² = D₇×2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₇	112	8-	Q8:2D7:16C2^2	448,1381
Q₈⋊₂D₇⋊₁₇C₂² = D₂₈.₃₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₇	112	8+	Q8:2D7:17C2^2	448,1382
Q₈⋊₂D₇⋊₁₈C₂² = C₂×D₇×C₄○D₄	φ: trivial image	112		Q8:2D7:18C2^2	448,1375
Q₈⋊₂D₇⋊₁₉C₂² = D₁₄.C₂⁴	φ: trivial image	112	8-	Q8:2D7:19C2^2	448,1380

Non-split extensions G=N.Q with N=Q₈⋊₂D₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₂D₇.₁C₂² = D₂₈.₃₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊₂D₇	224	4	Q8:2D7.1C2^2	448,1219
Q₈⋊₂D₇.₂C₂² = D₈⋊₁₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊₂D₇	112	4	Q8:2D7.2C2^2	448,1223
Q₈⋊₂D₇.₃C₂² = D₂₈.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊₂D₇	224	8-	Q8:2D7.3C2^2	448,1232
Q₈⋊₂D₇.₄C₂² = C₂×Q₁₆⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₇	224		Q8:2D7.4C2^2	448,1217
Q₈⋊₂D₇.₅C₂² = D₈⋊₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₇	112	4	Q8:2D7.5C2^2	448,1221
Q₈⋊₂D₇.₆C₂² = D₇×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₇	112	8-	Q8:2D7.6C2^2	448,1229

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