Extensions 1→N→G→Q→1 with N=D₄⋊₂D₇ and Q=C₂²

Direct product G=N×Q with N=D₄⋊₂D₇ and Q=C₂²

		d	ρ	Label	ID
C₂²×D₄⋊₂D₇		224		C2^2xD4:2D7	448,1370

Semidirect products G=N:Q with N=D₄⋊₂D₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂D₇⋊₁C₂² = D₈⋊₁₃D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊₂D₇	112	4	D4:2D7:1C2^2	448,1210
D₄⋊₂D₇⋊₂C₂² = D₈⋊₁₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊₂D₇	112	4	D4:2D7:2C2^2	448,1223
D₄⋊₂D₇⋊₃C₂² = D₈⋊₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊₂D₇	112	8+	D4:2D7:3C2^2	448,1227
D₄⋊₂D₇⋊₄C₂² = D₈⋊₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊₂D₇	112	8-	D4:2D7:4C2^2	448,1228
D₄⋊₂D₇⋊₅C₂² = C₂×D₈⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₇	112		D4:2D7:5C2^2	448,1208
D₄⋊₂D₇⋊₆C₂² = C₂×D₈⋊₃D₇	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₇	224		D4:2D7:6C2^2	448,1209
D₄⋊₂D₇⋊₇C₂² = C₂×SD₁₆⋊₃D₇	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₇	224		D4:2D7:7C2^2	448,1214
D₄⋊₂D₇⋊₈C₂² = D₇×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₇	112	4	D4:2D7:8C2^2	448,1220
D₄⋊₂D₇⋊₉C₂² = D₇×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₇	56	8+	D4:2D7:9C2^2	448,1225
D₄⋊₂D₇⋊₁₀C₂² = SD₁₆⋊D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₇	112	8-	D4:2D7:10C2^2	448,1226
D₄⋊₂D₇⋊₁₁C₂² = D₅₆⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₇	112	8+	D4:2D7:11C2^2	448,1230
D₄⋊₂D₇⋊₁₂C₂² = C₂×D₄⋊₆D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₇	112		D4:2D7:12C2^2	448,1371
D₄⋊₂D₇⋊₁₃C₂² = C₂×D₄.₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₇	224		D4:2D7:13C2^2	448,1377
D₄⋊₂D₇⋊₁₄C₂² = C₁₄.C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₇	112	4	D4:2D7:14C2^2	448,1378
D₄⋊₂D₇⋊₁₅C₂² = D₇×2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₇	56	8+	D4:2D7:15C2^2	448,1379
D₄⋊₂D₇⋊₁₆C₂² = D₁₄.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₇	112	8-	D4:2D7:16C2^2	448,1380
D₄⋊₂D₇⋊₁₇C₂² = D₇×2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₇	112	8-	D4:2D7:17C2^2	448,1381
D₄⋊₂D₇⋊₁₈C₂² = C₂×D₇×C₄○D₄	φ: trivial image	112		D4:2D7:18C2^2	448,1375
D₄⋊₂D₇⋊₁₉C₂² = D₂₈.₃₉C₂³	φ: trivial image	112	8+	D4:2D7:19C2^2	448,1382

Non-split extensions G=N.Q with N=D₄⋊₂D₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂D₇.₁C₂² = D₂₈.₂₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊₂D₇	112	4	D4:2D7.1C2^2	448,1215
D₄⋊₂D₇.₂C₂² = D₈.₁₀D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊₂D₇	224	4-	D4:2D7.2C2^2	448,1224
D₄⋊₂D₇.₃C₂² = D₂₈.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊₂D₇	224	8-	D4:2D7.3C2^2	448,1232
D₄⋊₂D₇.₄C₂² = C₂×SD₁₆⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₇	224		D4:2D7.4C2^2	448,1213
D₄⋊₂D₇.₅C₂² = D₈⋊₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₇	112	4	D4:2D7.5C2^2	448,1221
D₄⋊₂D₇.₆C₂² = D₇×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₇	112	8-	D4:2D7.6C2^2	448,1229

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