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		C2^2xQ8:D7	448,1260

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	Q8:D7:1C2^2	448,1215
Q₈⋊D₇⋊₂C₂² = D₈⋊₁₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊D₇	112	4+	Q8:D7:2C2^2	448,1222
Q₈⋊D₇⋊₃C₂² = D₈⋊₁₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊D₇	112	4	Q8:D7:3C2^2	448,1223
Q₈⋊D₇⋊₄C₂² = D₇×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊D₇	56	8+	Q8:D7:4C2^2	448,1225
Q₈⋊D₇⋊₅C₂² = D₇×C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊D₇	112	8-	Q8:D7:5C2^2	448,1229
Q₈⋊D₇⋊₆C₂² = D₅₆⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊D₇	112	8+	Q8:D7:6C2^2	448,1230
Q₈⋊D₇⋊₇C₂² = C₂×D₇×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₇	112		Q8:D7:7C2^2	448,1211
Q₈⋊D₇⋊₈C₂² = C₂×D₅₆⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₇	112		Q8:D7:8C2^2	448,1212
Q₈⋊D₇⋊₉C₂² = C₂×Q₁₆⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₇	224		Q8:D7:9C2^2	448,1217
Q₈⋊D₇⋊₁₀C₂² = C₂×Q₈.D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₇	224		Q8:D7:10C2^2	448,1218
Q₈⋊D₇⋊₁₁C₂² = D₇×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₇	112	4	Q8:D7:11C2^2	448,1220
Q₈⋊D₇⋊₁₂C₂² = D₈⋊₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₇	112	4	Q8:D7:12C2^2	448,1221
Q₈⋊D₇⋊₁₃C₂² = D₈⋊₅D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₇	112	8+	Q8:D7:13C2^2	448,1227
Q₈⋊D₇⋊₁₄C₂² = D₈⋊₆D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₇	112	8-	Q8:D7:14C2^2	448,1228
Q₈⋊D₇⋊₁₅C₂² = C₅₆.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₇	112	8+	Q8:D7:15C2^2	448,1231
Q₈⋊D₇⋊₁₆C₂² = C₂×C₂₈.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₇	224		Q8:D7:16C2^2	448,1261
Q₈⋊D₇⋊₁₇C₂² = C₂×D₄⋊D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₇	112		Q8:D7:17C2^2	448,1273
Q₈⋊D₇⋊₁₈C₂² = C₂₈.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₇	112	4	Q8:D7:18C2^2	448,1275
Q₈⋊D₇⋊₁₉C₂² = D₂₈.₃₂C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₇	112	8+	Q8:D7:19C2^2	448,1288
Q₈⋊D₇⋊₂₀C₂² = D₂₈.₃₄C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₇	112	8+	Q8:D7:20C2^2	448,1290
Q₈⋊D₇⋊₂₁C₂² = C₂×D₄.₈D₁₄	φ: trivial image	224		Q8:D7:21C2^2	448,1274
Q₈⋊D₇⋊₂₂C₂² = D₂₈.₃₃C₂³	φ: trivial image	112	8-	Q8:D7:22C2^2	448,1289

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊D₇.C₂² = D₂₈.₃₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊D₇	224	4	Q8:D7.C2^2	448,1219
Q₈⋊D₇.₂C₂² = D₂₈.₄₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₇	224	8-	Q8:D7.2C2^2	448,1232
Q₈⋊D₇.₃C₂² = D₂₈.₃₅C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₇	224	8-	Q8:D7.3C2^2	448,1291

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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