Extensions 1→N→G→Q→1 with N=C₇×SD₁₆ and Q=C₂²

Direct product G=N×Q with N=C₇×SD₁₆ and Q=C₂²

		d	ρ	Label	ID
SD₁₆×C₂×C₁₄		224		SD16xC2xC14	448,1353

Semidirect products G=N:Q with N=C₇×SD₁₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×SD₁₆)⋊₁C₂² = D₇×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₇×SD₁₆	56	8+	(C7xSD16):1C2^2	448,1225
(C₇×SD₁₆)⋊₂C₂² = SD₁₆⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×SD₁₆	112	8-	(C7xSD16):2C2^2	448,1226
(C₇×SD₁₆)⋊₃C₂² = D₈⋊₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×SD₁₆	112	8+	(C7xSD16):3C2^2	448,1227
(C₇×SD₁₆)⋊₄C₂² = D₈⋊₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×SD₁₆	112	8-	(C7xSD16):4C2^2	448,1228
(C₇×SD₁₆)⋊₅C₂² = D₇×C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₇×SD₁₆	112	8-	(C7xSD16):5C2^2	448,1229
(C₇×SD₁₆)⋊₆C₂² = D₅₆⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₇×SD₁₆	112	8+	(C7xSD16):6C2^2	448,1230
(C₇×SD₁₆)⋊₇C₂² = C₅₆.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₇×SD₁₆	112	8+	(C7xSD16):7C2^2	448,1231
(C₇×SD₁₆)⋊₈C₂² = C₂×D₅₆⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₇×SD₁₆	112		(C7xSD16):8C2^2	448,1212
(C₇×SD₁₆)⋊₉C₂² = C₂×SD₁₆⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇×SD₁₆	224		(C7xSD16):9C2^2	448,1213
(C₇×SD₁₆)⋊₁₀C₂² = D₈⋊₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×SD₁₆	112	4	(C7xSD16):10C2^2	448,1221
(C₇×SD₁₆)⋊₁₁C₂² = D₈⋊₁₅D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×SD₁₆	112	4+	(C7xSD16):11C2^2	448,1222
(C₇×SD₁₆)⋊₁₂C₂² = C₂×D₇×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇×SD₁₆	112		(C7xSD16):12C2^2	448,1211
(C₇×SD₁₆)⋊₁₃C₂² = C₂×SD₁₆⋊₃D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇×SD₁₆	224		(C7xSD16):13C2^2	448,1214
(C₇×SD₁₆)⋊₁₄C₂² = D₂₈.₂₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×SD₁₆	112	4	(C7xSD16):14C2^2	448,1215
(C₇×SD₁₆)⋊₁₅C₂² = D₇×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×SD₁₆	112	4	(C7xSD16):15C2^2	448,1220
(C₇×SD₁₆)⋊₁₆C₂² = D₈⋊₁₁D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×SD₁₆	112	4	(C7xSD16):16C2^2	448,1223
(C₇×SD₁₆)⋊₁₇C₂² = C₁₄×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₇×SD₁₆	112		(C7xSD16):17C2^2	448,1356
(C₇×SD₁₆)⋊₁₈C₂² = C₁₄×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₇×SD₁₆	224		(C7xSD16):18C2^2	448,1357
(C₇×SD₁₆)⋊₁₉C₂² = C₇×D₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₇×SD₁₆	112	4	(C7xSD16):19C2^2	448,1358
(C₇×SD₁₆)⋊₂₀C₂² = C₇×D₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×SD₁₆	112	4	(C7xSD16):20C2^2	448,1359
(C₇×SD₁₆)⋊₂₁C₂² = C₇×D₄○SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇×SD₁₆	112	4	(C7xSD16):21C2^2	448,1360
(C₇×SD₁₆)⋊₂₂C₂² = C₁₄×C₄○D₈	φ: trivial image	224		(C7xSD16):22C2^2	448,1355

Non-split extensions G=N.Q with N=C₇×SD₁₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×SD₁₆).C₂² = D₂₈.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×SD₁₆	224	8-	(C7xSD16).C2^2	448,1232
(C₇×SD₁₆).₂C₂² = D₈.₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×SD₁₆	224	4-	(C7xSD16).2C2^2	448,1224
(C₇×SD₁₆).₃C₂² = C₇×Q₈○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×SD₁₆	224	4	(C7xSD16).3C2^2	448,1361

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Extensions 1→N→G→Q→1 with N=C7×SD16 and Q=C22

Extensions 1→N→G→Q→1 with N=C₇×SD₁₆ and Q=C₂²