Extensions 1→N→G→Q→1 with N=C₇×M₄(2) and Q=C₂²

Direct product G=N×Q with N=C₇×M₄(2) and Q=C₂²

		d	ρ	Label	ID
M₄(2)×C₂×C₁₄		224		M4(2)xC2xC14	448,1349

Semidirect products G=N:Q with N=C₇×M₄(2) and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×M₄(2))⋊₁C₂² = D₇×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	56	8+	(C7xM4(2)):1C2^2	448,1225
(C₇×M₄(2))⋊₂C₂² = SD₁₆⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	8-	(C7xM4(2)):2C2^2	448,1226
(C₇×M₄(2))⋊₃C₂² = D₈⋊₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	8+	(C7xM4(2)):3C2^2	448,1227
(C₇×M₄(2))⋊₄C₂² = D₈⋊₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	8-	(C7xM4(2)):4C2^2	448,1228
(C₇×M₄(2))⋊₅C₂² = D₇×C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	8-	(C7xM4(2)):5C2^2	448,1229
(C₇×M₄(2))⋊₆C₂² = D₅₆⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	8+	(C7xM4(2)):6C2^2	448,1230
(C₇×M₄(2))⋊₇C₂² = C₅₆.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	8+	(C7xM4(2)):7C2^2	448,1231
(C₇×M₄(2))⋊₈C₂² = D₂₈.₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	8-	(C7xM4(2)):8C2^2	448,280
(C₇×M₄(2))⋊₉C₂² = D₂₈⋊₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	56	8+	(C7xM4(2)):9C2^2	448,281
(C₇×M₄(2))⋊₁₀C₂² = D₄⋊₄D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	56	4+	(C7xM4(2)):10C2^2	448,356
(C₇×M₄(2))⋊₁₁C₂² = M₄(2)⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)):11C2^2	448,359
(C₇×M₄(2))⋊₁₂C₂² = D₇×C₄.D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	56	8+	(C7xM4(2)):12C2^2	448,278
(C₇×M₄(2))⋊₁₃C₂² = D₇×C₄≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	56	4	(C7xM4(2)):13C2^2	448,354
(C₇×M₄(2))⋊₁₄C₂² = C₄²⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)):14C2^2	448,355
(C₇×M₄(2))⋊₁₅C₂² = D₂₈⋊₁₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	56	8+	(C7xM4(2)):15C2^2	448,732
(C₇×M₄(2))⋊₁₆C₂² = D₂₈.₃₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	8+	(C7xM4(2)):16C2^2	448,736
(C₇×M₄(2))⋊₁₇C₂² = C₇×D₄⋊₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	56	4	(C7xM4(2)):17C2^2	448,861
(C₇×M₄(2))⋊₁₈C₂² = C₇×D₄.₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)):18C2^2	448,863
(C₇×M₄(2))⋊₁₉C₂² = C₂×C₈⋊D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112		(C7xM4(2)):19C2^2	448,1199
(C₇×M₄(2))⋊₂₀C₂² = C₂×C₈.D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	224		(C7xM4(2)):20C2^2	448,1200
(C₇×M₄(2))⋊₂₁C₂² = C₅₆.₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)):21C2^2	448,1201
(C₇×M₄(2))⋊₂₂C₂² = D₄.₁₁D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)):22C2^2	448,1204
(C₇×M₄(2))⋊₂₃C₂² = D₄.₁₂D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4+	(C7xM4(2)):23C2^2	448,1205
(C₇×M₄(2))⋊₂₄C₂² = C₂×D₇×M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112		(C7xM4(2)):24C2^2	448,1196
(C₇×M₄(2))⋊₂₅C₂² = C₂×D₂₈.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	224		(C7xM4(2)):25C2^2	448,1197
(C₇×M₄(2))⋊₂₆C₂² = C₂₈.₇₀C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)):26C2^2	448,1198
(C₇×M₄(2))⋊₂₇C₂² = D₇×C₈○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)):27C2^2	448,1202
(C₇×M₄(2))⋊₂₈C₂² = C₅₆.₄₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)):28C2^2	448,1203
(C₇×M₄(2))⋊₂₉C₂² = C₁₄×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112		(C7xM4(2)):29C2^2	448,1356
(C₇×M₄(2))⋊₃₀C₂² = C₁₄×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	224		(C7xM4(2)):30C2^2	448,1357
(C₇×M₄(2))⋊₃₁C₂² = C₇×D₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)):31C2^2	448,1358
(C₇×M₄(2))⋊₃₂C₂² = C₇×D₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)):32C2^2	448,1359
(C₇×M₄(2))⋊₃₃C₂² = C₇×D₄○SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)):33C2^2	448,1360
(C₇×M₄(2))⋊₃₄C₂² = C₂×C₂₈.₄₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112		(C7xM4(2)):34C2^2	448,664
(C₇×M₄(2))⋊₃₅C₂² = C₂×D₂₈⋊₄C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112		(C7xM4(2)):35C2^2	448,672
(C₇×M₄(2))⋊₃₆C₂² = C₂³.₂₀D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)):36C2^2	448,673
(C₇×M₄(2))⋊₃₇C₂² = C₁₄×C₄.D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112		(C7xM4(2)):37C2^2	448,819
(C₇×M₄(2))⋊₃₈C₂² = C₁₄×C₄≀C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112		(C7xM4(2)):38C2^2	448,828
(C₇×M₄(2))⋊₃₉C₂² = C₇×C₄²⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)):39C2^2	448,829
(C₇×M₄(2))⋊₄₀C₂² = C₁₄×C₈○D₄	φ: trivial image	224		(C7xM4(2)):40C2^2	448,1350
(C₇×M₄(2))⋊₄₁C₂² = C₇×Q₈○M₄(2)	φ: trivial image	112	4	(C7xM4(2)):41C2^2	448,1351

Non-split extensions G=N.Q with N=C₇×M₄(2) and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×M₄(2)).₁C₂² = D₂₈.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	224	8-	(C7xM4(2)).1C2^2	448,1232
(C₇×M₄(2)).₂C₂² = D₂₈.₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	8-	(C7xM4(2)).2C2^2	448,286
(C₇×M₄(2)).₃C₂² = D₂₈.₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	8+	(C7xM4(2)).3C2^2	448,287
(C₇×M₄(2)).₄C₂² = D₄.₉D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	4-	(C7xM4(2)).4C2^2	448,360
(C₇×M₄(2)).₅C₂² = D₄.₁₀D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)).5C2^2	448,361
(C₇×M₄(2)).₆C₂² = C₈.₂₀D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	224	4-	(C7xM4(2)).6C2^2	448,430
(C₇×M₄(2)).₇C₂² = C₈.₂₁D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	4+	(C7xM4(2)).7C2^2	448,431
(C₇×M₄(2)).₈C₂² = C₈.₂₄D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)).8C2^2	448,432
(C₇×M₄(2)).₉C₂² = M₄(2).₁₉D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	8-	(C7xM4(2)).9C2^2	448,279
(C₇×M₄(2)).₁₀C₂² = D₂₈.₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	8-	(C7xM4(2)).10C2^2	448,282
(C₇×M₄(2)).₁₁C₂² = D₂₈.₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	8+	(C7xM4(2)).11C2^2	448,283
(C₇×M₄(2)).₁₂C₂² = D₇×C₄.₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	8-	(C7xM4(2)).12C2^2	448,284
(C₇×M₄(2)).₁₃C₂² = M₄(2).₂₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	8+	(C7xM4(2)).13C2^2	448,285
(C₇×M₄(2)).₁₄C₂² = D₂₈.₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	8+	(C7xM4(2)).14C2^2	448,288
(C₇×M₄(2)).₁₅C₂² = D₂₈.₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	224	8-	(C7xM4(2)).15C2^2	448,289
(C₇×M₄(2)).₁₆C₂² = M₄(2).₂₂D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)).16C2^2	448,357
(C₇×M₄(2)).₁₇C₂² = C₄².₁₉₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)).17C2^2	448,358
(C₇×M₄(2)).₁₈C₂² = D₇×C₈.C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)).18C2^2	448,426
(C₇×M₄(2)).₁₉C₂² = M₄(2).₂₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)).19C2^2	448,427
(C₇×M₄(2)).₂₀C₂² = D₅₆⋊₁₀C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)).20C2^2	448,428
(C₇×M₄(2)).₂₁C₂² = D₅₆⋊₇C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)).21C2^2	448,429
(C₇×M₄(2)).₂₂C₂² = M₄(2).D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	8+	(C7xM4(2)).22C2^2	448,733
(C₇×M₄(2)).₂₃C₂² = M₄(2).₁₃D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	8-	(C7xM4(2)).23C2^2	448,734
(C₇×M₄(2)).₂₄C₂² = D₂₈.₃₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	8-	(C7xM4(2)).24C2^2	448,735
(C₇×M₄(2)).₂₅C₂² = M₄(2).₁₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	8+	(C7xM4(2)).25C2^2	448,737
(C₇×M₄(2)).₂₆C₂² = M₄(2).₁₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	224	8-	(C7xM4(2)).26C2^2	448,738
(C₇×M₄(2)).₂₇C₂² = D₂₈.₄₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	8-	(C7xM4(2)).27C2^2	448,739
(C₇×M₄(2)).₂₈C₂² = C₇×D₄.₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)).28C2^2	448,862
(C₇×M₄(2)).₂₉C₂² = C₇×D₄.₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)).29C2^2	448,864
(C₇×M₄(2)).₃₀C₂² = D₄.₁₃D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	224	4-	(C7xM4(2)).30C2^2	448,1206
(C₇×M₄(2)).₃₁C₂² = C₇×Q₈○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	224	4	(C7xM4(2)).31C2^2	448,1361
(C₇×M₄(2)).₃₂C₂² = C₂×C₂₈.₅₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	224		(C7xM4(2)).32C2^2	448,657
(C₇×M₄(2)).₃₃C₂² = C₂³.Dic₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)).33C2^2	448,658
(C₇×M₄(2)).₃₄C₂² = M₄(2).₃₁D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)).34C2^2	448,666
(C₇×M₄(2)).₃₅C₂² = C₂×C₄.₁₂D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	224		(C7xM4(2)).35C2^2	448,670
(C₇×M₄(2)).₃₆C₂² = D₄.₃D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)).36C2^2	448,675
(C₇×M₄(2)).₃₇C₂² = D₄.₄D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4+	(C7xM4(2)).37C2^2	448,676
(C₇×M₄(2)).₃₈C₂² = D₄.₅D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	224	4-	(C7xM4(2)).38C2^2	448,677
(C₇×M₄(2)).₃₉C₂² = C₅₆.₉₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)).39C2^2	448,678
(C₇×M₄(2)).₄₀C₂² = C₅₆.₅₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)).40C2^2	448,679
(C₇×M₄(2)).₄₁C₂² = C₁₄×C₄.₁₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	224		(C7xM4(2)).41C2^2	448,820
(C₇×M₄(2)).₄₂C₂² = C₇×M₄(2).₈C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)).42C2^2	448,821
(C₇×M₄(2)).₄₃C₂² = C₁₄×C₈.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	224		(C7xM4(2)).43C2^2	448,837
(C₇×M₄(2)).₄₄C₂² = C₇×M₄(2).C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)).44C2^2	448,838
(C₇×M₄(2)).₄₅C₂² = C₇×C₈○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	2	(C7xM4(2)).45C2^2	448,851
(C₇×M₄(2)).₄₆C₂² = C₇×C₈.₂₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)).46C2^2	448,852
(C₇×M₄(2)).₄₇C₂² = C₇×D₄.₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)).47C2^2	448,879
(C₇×M₄(2)).₄₈C₂² = C₇×D₄.₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)).48C2^2	448,880
(C₇×M₄(2)).₄₉C₂² = C₇×D₄.₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×M₄(2)	224	4	(C7xM4(2)).49C2^2	448,881

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Extensions 1→N→G→Q→1 with N=C7×M4(2) and Q=C22

Extensions 1→N→G→Q→1 with N=C₇×M₄(2) and Q=C₂²