Extensions 1→N→G→Q→1 with N=C₇×Q₁₆ and Q=C₂²

Direct product G=N×Q with N=C₇×Q₁₆ and Q=C₂²

		d	ρ	Label	ID
Q₁₆×C₂×C₁₄		448		Q16xC2xC14	448,1354

Semidirect products G=N:Q with N=C₇×Q₁₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Q₁₆)⋊₁C₂² = D₇×C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Q₁₆	112	8-	(C7xQ16):1C2^2	448,1229
(C₇×Q₁₆)⋊₂C₂² = D₅₆⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Q₁₆	112	8+	(C7xQ16):2C2^2	448,1230
(C₇×Q₁₆)⋊₃C₂² = C₅₆.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Q₁₆	112	8+	(C7xQ16):3C2^2	448,1231
(C₇×Q₁₆)⋊₄C₂² = D₇×SD₃₂	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Q₁₆	112	4	(C7xQ16):4C2^2	448,447
(C₇×Q₁₆)⋊₅C₂² = D₁₁₂⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Q₁₆	112	4+	(C7xQ16):5C2^2	448,448
(C₇×Q₁₆)⋊₆C₂² = C₂×C₇⋊SD₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	224		(C7xQ16):6C2^2	448,712
(C₇×Q₁₆)⋊₇C₂² = Q₁₆⋊D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	112	4+	(C7xQ16):7C2^2	448,727
(C₇×Q₁₆)⋊₈C₂² = C₂×D₇×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	224		(C7xQ16):8C2^2	448,1216
(C₇×Q₁₆)⋊₉C₂² = C₂×Q₈.D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	224		(C7xQ16):9C2^2	448,1218
(C₇×Q₁₆)⋊₁₀C₂² = D₇×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	112	4	(C7xQ16):10C2^2	448,1220
(C₇×Q₁₆)⋊₁₁C₂² = D₈⋊₁₅D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	112	4+	(C7xQ16):11C2^2	448,1222
(C₇×Q₁₆)⋊₁₂C₂² = C₂×Q₁₆⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	224		(C7xQ16):12C2^2	448,1217
(C₇×Q₁₆)⋊₁₃C₂² = D₈⋊₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	112	4	(C7xQ16):13C2^2	448,1221
(C₇×Q₁₆)⋊₁₄C₂² = D₈⋊₁₁D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	112	4	(C7xQ16):14C2^2	448,1223
(C₇×Q₁₆)⋊₁₅C₂² = C₁₄×SD₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	224		(C7xQ16):15C2^2	448,914
(C₇×Q₁₆)⋊₁₆C₂² = C₇×C₁₆⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	112	4	(C7xQ16):16C2^2	448,917
(C₇×Q₁₆)⋊₁₇C₂² = C₁₄×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	224		(C7xQ16):17C2^2	448,1357
(C₇×Q₁₆)⋊₁₈C₂² = C₇×D₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	112	4	(C7xQ16):18C2^2	448,1358
(C₇×Q₁₆)⋊₁₉C₂² = C₇×D₄○SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	112	4	(C7xQ16):19C2^2	448,1360
(C₇×Q₁₆)⋊₂₀C₂² = C₁₄×C₄○D₈	φ: trivial image	224		(C7xQ16):20C2^2	448,1355
(C₇×Q₁₆)⋊₂₁C₂² = C₇×D₄○D₈	φ: trivial image	112	4	(C7xQ16):21C2^2	448,1359

Non-split extensions G=N.Q with N=C₇×Q₁₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Q₁₆).₁C₂² = D₂₈.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Q₁₆	224	8-	(C7xQ16).1C2^2	448,1232
(C₇×Q₁₆).₂C₂² = SD₃₂⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Q₁₆	224	4-	(C7xQ16).2C2^2	448,449
(C₇×Q₁₆).₃C₂² = SD₃₂⋊₃D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Q₁₆	224	4	(C7xQ16).3C2^2	448,450
(C₇×Q₁₆).₄C₂² = D₇×Q₃₂	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Q₁₆	224	4-	(C7xQ16).4C2^2	448,451
(C₇×Q₁₆).₅C₂² = Q₃₂⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Q₁₆	224	4	(C7xQ16).5C2^2	448,452
(C₇×Q₁₆).₆C₂² = Q₃₂⋊₃D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Q₁₆	224	4+	(C7xQ16).6C2^2	448,453
(C₇×Q₁₆).₇C₂² = Q₁₆.D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	224	4	(C7xQ16).7C2^2	448,713
(C₇×Q₁₆).₈C₂² = C₂×C₇⋊Q₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	448		(C7xQ16).8C2^2	448,714
(C₇×Q₁₆).₉C₂² = C₅₆.₃₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	224	4	(C7xQ16).9C2^2	448,728
(C₇×Q₁₆).₁₀C₂² = C₅₆.₃₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	224	4-	(C7xQ16).10C2^2	448,729
(C₇×Q₁₆).₁₁C₂² = D₂₈.₃₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	224	4	(C7xQ16).11C2^2	448,1219
(C₇×Q₁₆).₁₂C₂² = D₈.₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	224	4-	(C7xQ16).12C2^2	448,1224
(C₇×Q₁₆).₁₃C₂² = C₁₄×Q₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	448		(C7xQ16).13C2^2	448,915
(C₇×Q₁₆).₁₄C₂² = C₇×C₄○D₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	224	2	(C7xQ16).14C2^2	448,916
(C₇×Q₁₆).₁₅C₂² = C₇×Q₃₂⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	224	4	(C7xQ16).15C2^2	448,918
(C₇×Q₁₆).₁₆C₂² = C₇×Q₈○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₁₆	224	4	(C7xQ16).16C2^2	448,1361

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Extensions 1→N→G→Q→1 with N=C7×Q16 and Q=C22

Extensions 1→N→G→Q→1 with N=C₇×Q₁₆ and Q=C₂²