Extensions 1→N→G→Q→1 with N=C₇⋊C₈ and Q=D₄

Direct product G=N×Q with N=C₇⋊C₈ and Q=D₄

		d	ρ	Label	ID
D₄×C₇⋊C₈		224		D4xC7:C8	448,544

Semidirect products G=N:Q with N=C₇⋊C₈ and Q=D₄

extension	φ:Q→Out N	d	Label	ID
C₇⋊C₈⋊₁D₄ = C₇⋊C₈⋊₁D₄	φ: D₄/C₂ → C₂² ⊆ Out C₇⋊C₈	224	C7:C8:1D4	448,314
C₇⋊C₈⋊₂D₄ = C₇⋊C₈⋊D₄	φ: D₄/C₂ → C₂² ⊆ Out C₇⋊C₈	224	C7:C8:2D4	448,316
C₇⋊C₈⋊₃D₄ = C₇⋊(C₈⋊D₄)	φ: D₄/C₂ → C₂² ⊆ Out C₇⋊C₈	224	C7:C8:3D4	448,346
C₇⋊C₈⋊₄D₄ = C₄⋊D₄⋊D₇	φ: D₄/C₂ → C₂² ⊆ Out C₇⋊C₈	224	C7:C8:4D4	448,573
C₇⋊C₈⋊₅D₄ = C₇⋊C₈⋊₅D₄	φ: D₄/C₂ → C₂² ⊆ Out C₇⋊C₈	224	C7:C8:5D4	448,576
C₇⋊C₈⋊₆D₄ = C₇⋊C₈⋊₆D₄	φ: D₄/C₂ → C₂² ⊆ Out C₇⋊C₈	224	C7:C8:6D4	448,583
C₇⋊C₈⋊₇D₄ = C₄².₆₄D₁₄	φ: D₄/C₂ → C₂² ⊆ Out C₇⋊C₈	224	C7:C8:7D4	448,592
C₇⋊C₈⋊₈D₄ = C₄².₇₄D₁₄	φ: D₄/C₂ → C₂² ⊆ Out C₇⋊C₈	224	C7:C8:8D4	448,608
C₇⋊C₈⋊₉D₄ = C₅₆⋊₁₁D₄	φ: D₄/C₂ → C₂² ⊆ Out C₇⋊C₈	224	C7:C8:9D4	448,688
C₇⋊C₈⋊₁₀D₄ = C₅₆⋊₉D₄	φ: D₄/C₂ → C₂² ⊆ Out C₇⋊C₈	224	C7:C8:10D4	448,710
C₇⋊C₈⋊₁₁D₄ = C₂₈⋊D₈	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊C₈	224	C7:C8:11D4	448,607
C₇⋊C₈⋊₁₂D₄ = C₂₈⋊₄SD₁₆	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊C₈	224	C7:C8:12D4	448,610
C₇⋊C₈⋊₁₃D₄ = C₂₈⋊₆SD₁₆	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊C₈	224	C7:C8:13D4	448,619
C₇⋊C₈⋊₁₄D₄ = C₅₆⋊₅D₄	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊C₈	224	C7:C8:14D4	448,685
C₇⋊C₈⋊₁₅D₄ = C₅₆⋊₁₅D₄	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊C₈	224	C7:C8:15D4	448,709
C₇⋊C₈⋊₁₆D₄ = Dic₇⋊M₄(2)	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊C₈	224	C7:C8:16D4	448,263
C₇⋊C₈⋊₁₇D₄ = C₂₈⋊₂M₄(2)	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊C₈	224	C7:C8:17D4	448,372
C₇⋊C₈⋊₁₈D₄ = C₂₈⋊₃M₄(2)	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊C₈	224	C7:C8:18D4	448,546
C₇⋊C₈⋊₁₉D₄ = D₁₄⋊D₈	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	224	C7:C8:19D4	448,309
C₇⋊C₈⋊₂₀D₄ = D₁₄⋊SD₁₆	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	224	C7:C8:20D4	448,312
C₇⋊C₈⋊₂₁D₄ = D₁₄⋊₂SD₁₆	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	224	C7:C8:21D4	448,341
C₇⋊C₈⋊₂₂D₄ = C₇⋊C₈⋊₂₂D₄	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	224	C7:C8:22D4	448,572
C₇⋊C₈⋊₂₃D₄ = C₇⋊C₈⋊₂₃D₄	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	224	C7:C8:23D4	448,575
C₇⋊C₈⋊₂₄D₄ = C₇⋊C₈⋊₂₄D₄	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	224	C7:C8:24D4	448,582
C₇⋊C₈⋊₂₅D₄ = D₁₄⋊₂M₄(2)	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	224	C7:C8:25D4	448,262
C₇⋊C₈⋊₂₆D₄ = C₇⋊C₈⋊₂₆D₄	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	224	C7:C8:26D4	448,264
C₇⋊C₈⋊₂₇D₄ = D₁₄⋊₃M₄(2)	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	224	C7:C8:27D4	448,370
C₇⋊C₈⋊₂₈D₄ = C₄².₄₇D₁₄	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	224	C7:C8:28D4	448,545
C₇⋊C₈⋊₂₉D₄ = C₇⋊D₄⋊C₈	φ: trivial image	224	C7:C8:29D4	448,259
C₇⋊C₈⋊₃₀D₄ = D₂₈⋊C₈	φ: trivial image	224	C7:C8:30D4	448,368

Non-split extensions G=N.Q with N=C₇⋊C₈ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₈.₁D₄ = C₇⋊C₈.D₄	φ: D₄/C₂ → C₂² ⊆ Out C₇⋊C₈	224		C7:C8.1D4	448,350
C₇⋊C₈.₂D₄ = D₈⋊D₁₄	φ: D₄/C₂ → C₂² ⊆ Out C₇⋊C₈	112	4	C7:C8.2D4	448,445
C₇⋊C₈.₃D₄ = D₁₁₂⋊C₂	φ: D₄/C₂ → C₂² ⊆ Out C₇⋊C₈	112	4+	C7:C8.3D4	448,448
C₇⋊C₈.₄D₄ = SD₃₂⋊D₇	φ: D₄/C₂ → C₂² ⊆ Out C₇⋊C₈	224	4-	C7:C8.4D4	448,449
C₇⋊C₈.₅D₄ = Q₃₂⋊D₇	φ: D₄/C₂ → C₂² ⊆ Out C₇⋊C₈	224	4	C7:C8.5D4	448,452
C₇⋊C₈.₆D₄ = C₇⋊C₈.₆D₄	φ: D₄/C₂ → C₂² ⊆ Out C₇⋊C₈	224		C7:C8.6D4	448,586
C₇⋊C₈.₇D₄ = C₄².₆₅D₁₄	φ: D₄/C₂ → C₂² ⊆ Out C₇⋊C₈	224		C7:C8.7D4	448,594
C₇⋊C₈.₈D₄ = C₄².₈₀D₁₄	φ: D₄/C₂ → C₂² ⊆ Out C₇⋊C₈	224		C7:C8.8D4	448,620
C₇⋊C₈.₉D₄ = C₅₆.₃₁D₄	φ: D₄/C₂ → C₂² ⊆ Out C₇⋊C₈	224		C7:C8.9D4	448,701
C₇⋊C₈.₁₀D₄ = C₅₆.₃₇D₄	φ: D₄/C₂ → C₂² ⊆ Out C₇⋊C₈	224		C7:C8.10D4	448,724
C₇⋊C₈.₁₁D₄ = D₇×D₁₆	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊C₈	112	4+	C7:C8.11D4	448,444
C₇⋊C₈.₁₂D₄ = D₁₆⋊₃D₇	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊C₈	224	4-	C7:C8.12D4	448,446
C₇⋊C₈.₁₃D₄ = D₇×SD₃₂	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊C₈	112	4	C7:C8.13D4	448,447
C₇⋊C₈.₁₄D₄ = SD₃₂⋊₃D₇	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊C₈	224	4	C7:C8.14D4	448,450
C₇⋊C₈.₁₅D₄ = D₇×Q₃₂	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊C₈	224	4-	C7:C8.15D4	448,451
C₇⋊C₈.₁₆D₄ = Q₃₂⋊₃D₇	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊C₈	224	4+	C7:C8.16D4	448,453
C₇⋊C₈.₁₇D₄ = C₄².₂₁₄D₁₄	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊C₈	224		C7:C8.17D4	448,593
C₇⋊C₈.₁₈D₄ = C₂₈⋊₃Q₁₆	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊C₈	448		C7:C8.18D4	448,626
C₇⋊C₈.₁₉D₄ = C₅₆.₂₂D₄	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊C₈	224		C7:C8.19D4	448,689
C₇⋊C₈.₂₀D₄ = C₅₆.₄₃D₄	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊C₈	224		C7:C8.20D4	448,702
C₇⋊C₈.₂₁D₄ = C₅₆.₂₆D₄	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊C₈	448		C7:C8.21D4	448,715
C₇⋊C₈.₂₂D₄ = C₅₆.₂₈D₄	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊C₈	224		C7:C8.22D4	448,725
C₇⋊C₈.₂₃D₄ = D₈⋊₅Dic₇	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊C₈	112	4	C7:C8.23D4	448,730
C₇⋊C₈.₂₄D₄ = D₂₈.₂D₄	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	112	8-	C7:C8.24D4	448,282
C₇⋊C₈.₂₅D₄ = D₂₈.₃D₄	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	112	8+	C7:C8.25D4	448,283
C₇⋊C₈.₂₆D₄ = D₂₈.₆D₄	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	112	8+	C7:C8.26D4	448,288
C₇⋊C₈.₂₇D₄ = D₂₈.₇D₄	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	224	8-	C7:C8.27D4	448,289
C₇⋊C₈.₂₈D₄ = D₁₄⋊Q₁₆	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	224		C7:C8.28D4	448,347
C₇⋊C₈.₂₉D₄ = C₇⋊C₈.₂₉D₄	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	224		C7:C8.29D4	448,585
C₇⋊C₈.₃₀D₄ = M₄(2).D₁₄	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	112	8+	C7:C8.30D4	448,733
C₇⋊C₈.₃₁D₄ = M₄(2).₁₃D₁₄	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	112	8-	C7:C8.31D4	448,734
C₇⋊C₈.₃₂D₄ = M₄(2).₁₅D₁₄	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	112	8+	C7:C8.32D4	448,737
C₇⋊C₈.₃₃D₄ = M₄(2).₁₆D₁₄	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	224	8-	C7:C8.33D4	448,738
C₇⋊C₈.₃₄D₄ = M₄(2).₂₂D₁₄	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	112	4	C7:C8.34D4	448,357
C₇⋊C₈.₃₅D₄ = D₅₆⋊₁₀C₄	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	112	4	C7:C8.35D4	448,428
C₇⋊C₈.₃₆D₄ = D₈⋊₄Dic₇	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊C₈	112	4	C7:C8.36D4	448,731
C₇⋊C₈.₃₇D₄ = C₄².₁₉₆D₁₄	φ: trivial image	112	4	C7:C8.37D4	448,358
C₇⋊C₈.₃₈D₄ = D₅₆⋊₇C₄	φ: trivial image	112	4	C7:C8.38D4	448,429

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Extensions 1→N→G→Q→1 with N=C7⋊C8 and Q=D4

Extensions 1→N→G→Q→1 with N=C₇⋊C₈ and Q=D₄