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

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

		d	ρ	Label	ID
D₇×C₂²⋊Q₈		112		D7xC2^2:Q8	448,1079

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

extension	φ:Q→Out N	d	Label	ID
C₂²⋊Q₈⋊₁D₇ = D₂₈.₃₆D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	112	C2^2:Q8:1D7	448,580
C₂²⋊Q₈⋊₂D₇ = D₂₈.₃₇D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:2D7	448,581
C₂²⋊Q₈⋊₃D₇ = C₇⋊C₈⋊₂₄D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:3D7	448,582
C₂²⋊Q₈⋊₄D₇ = C₇⋊C₈⋊₆D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:4D7	448,583
C₂²⋊Q₈⋊₅D₇ = C₁₄.₁₆2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:5D7	448,1081
C₂²⋊Q₈⋊₆D₇ = C₁₄.₁₇2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:6D7	448,1082
C₂²⋊Q₈⋊₇D₇ = D₂₈⋊₂₁D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	112	C2^2:Q8:7D7	448,1083
C₂²⋊Q₈⋊₈D₇ = D₂₈⋊₂₂D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:8D7	448,1084
C₂²⋊Q₈⋊₉D₇ = Dic₁₄⋊₂₁D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:9D7	448,1085
C₂²⋊Q₈⋊₁₀D₇ = Dic₁₄⋊₂₂D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:10D7	448,1086
C₂²⋊Q₈⋊₁₁D₇ = C₁₄.₅₁2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	112	C2^2:Q8:11D7	448,1087
C₂²⋊Q₈⋊₁₂D₇ = C₁₄.₁₁₈2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:12D7	448,1088
C₂²⋊Q₈⋊₁₃D₇ = C₁₄.₅₂2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:13D7	448,1089
C₂²⋊Q₈⋊₁₄D₇ = C₁₄.₅₃2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	112	C2^2:Q8:14D7	448,1090
C₂²⋊Q₈⋊₁₅D₇ = C₁₄.₂₀2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:15D7	448,1091
C₂²⋊Q₈⋊₁₆D₇ = C₁₄.₂₁2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:16D7	448,1092
C₂²⋊Q₈⋊₁₇D₇ = C₁₄.₂₂2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:17D7	448,1093
C₂²⋊Q₈⋊₁₈D₇ = C₁₄.₂₃2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:18D7	448,1094
C₂²⋊Q₈⋊₁₉D₇ = C₁₄.₇₇2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:19D7	448,1095
C₂²⋊Q₈⋊₂₀D₇ = C₁₄.₂₄2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:20D7	448,1096
C₂²⋊Q₈⋊₂₁D₇ = C₁₄.₅₆2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	112	C2^2:Q8:21D7	448,1097
C₂²⋊Q₈⋊₂₂D₇ = C₁₄.₅₇2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:22D7	448,1098
C₂²⋊Q₈⋊₂₃D₇ = C₁₄.₅₈2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:23D7	448,1099
C₂²⋊Q₈⋊₂₄D₇ = C₁₄.₂₆2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:24D7	448,1100
C₂²⋊Q₈⋊₂₅D₇ = C₂²⋊Q₈⋊₂₅D₇	φ: trivial image	224	C2^2:Q8:25D7	448,1077
C₂²⋊Q₈⋊₂₆D₇ = C₄⋊C₄⋊₂₆D₁₄	φ: trivial image	112	C2^2:Q8:26D7	448,1080

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

extension	φ:Q→Out N	d	Label	ID
C₂²⋊Q₈.₁D₇ = C₄⋊C₄⋊Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	112	C2^2:Q8.1D7	448,95
C₂²⋊Q₈.₂D₇ = C₂²⋊Q₈.D₇	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8.2D7	448,577
C₂²⋊Q₈.₃D₇ = (C₂×C₁₄).Q₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8.3D7	448,578
C₂²⋊Q₈.₄D₇ = C₁₄.(C₄○D₈)	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8.4D7	448,579
C₂²⋊Q₈.₅D₇ = Dic₁₄.₃₇D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8.5D7	448,584
C₂²⋊Q₈.₆D₇ = C₇⋊C₈.₂₉D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8.6D7	448,585
C₂²⋊Q₈.₇D₇ = C₇⋊C₈.₆D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8.7D7	448,586
C₂²⋊Q₈.₈D₇ = C₁₄.₇₅2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8.8D7	448,1076
C₂²⋊Q₈.₉D₇ = C₁₄.₁₅2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8.9D7	448,1078
C₂²⋊Q₈.₁₀D₇ = (Q₈×Dic₇)⋊C₂	φ: trivial image	224	C2^2:Q8.10D7	448,1075

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

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