Extensions 1→N→G→Q→1 with N=C₂³×D₇ and Q=C₂²

Direct product G=N×Q with N=C₂³×D₇ and Q=C₂²

		d	ρ	Label	ID
D₇×C₂⁵		224		D7xC2^5	448,1395

Semidirect products G=N:Q with N=C₂³×D₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×D₇)⋊₁C₂² = C₂³⋊D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	56	8+	(C2^3xD7):1C2^2	448,275
(C₂³×D₇)⋊₂C₂² = 2₊¹⁺⁴⋊₂D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	56	8+	(C2^3xD7):2C2^2	448,778
(C₂³×D₇)⋊₃C₂² = C₂×C₂²⋊D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7):3C2^2	448,940
(C₂³×D₇)⋊₄C₂² = C₂³⋊₃D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7):4C2^2	448,946
(C₂³×D₇)⋊₅C₂² = D₄×D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7):5C2^2	448,1002
(C₂³×D₇)⋊₆C₂² = C₂⁴⋊₂D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7):6C2^2	448,1042
(C₂³×D₇)⋊₇C₂² = C₂⁴⋊₃D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7):7C2^2	448,1043
(C₂³×D₇)⋊₈C₂² = C₂⁴⋊₄D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7):8C2^2	448,1047
(C₂³×D₇)⋊₉C₂² = C₁₄.₃₇2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7):9C2^2	448,1058
(C₂³×D₇)⋊₁₀C₂² = D₂₈⋊₁₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7):10C2^2	448,1062
(C₂³×D₇)⋊₁₁C₂² = C₁₄.₁₂₀2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7):11C2^2	448,1106
(C₂³×D₇)⋊₁₂C₂² = C₄²⋊₂₂D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7):12C2^2	448,1136
(C₂³×D₇)⋊₁₃C₂² = D₂₈⋊₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7):13C2^2	448,1170
(C₂³×D₇)⋊₁₄C₂² = D₄×C₇⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7):14C2^2	448,1254
(C₂³×D₇)⋊₁₅C₂² = C₂⁴⋊₇D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7):15C2^2	448,1257
(C₂³×D₇)⋊₁₆C₂² = C₂×C₂⁴⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7):16C2^2	448,1293
(C₂³×D₇)⋊₁₇C₂² = C₂×D₄⋊₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7):17C2^2	448,1371
(C₂³×D₇)⋊₁₈C₂² = C₂×D₄⋊₈D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7):18C2^2	448,1376
(C₂³×D₇)⋊₁₉C₂² = D₇×2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	56	8+	(C2^3xD7):19C2^2	448,1379
(C₂³×D₇)⋊₂₀C₂² = D₇×C₂²≀C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	56		(C2^3xD7):20C2^2	448,1041
(C₂³×D₇)⋊₂₁C₂² = C₂×C₂³⋊D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7):21C2^2	448,1252
(C₂³×D₇)⋊₂₂C₂² = C₂³×D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7):22C2^2	448,1367
(C₂³×D₇)⋊₂₃C₂² = C₂²×D₄×D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7):23C2^2	448,1369
(C₂³×D₇)⋊₂₄C₂² = C₂³×C₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7):24C2^2	448,1384

Non-split extensions G=N.Q with N=C₂³×D₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×D₇).₁C₂² = D₁₄⋊C₄⋊₅C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).1C2^2	448,203
(C₂³×D₇).₂C₂² = C₂.(C₄×D₂₈)	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).2C2^2	448,204
(C₂³×D₇).₃C₂² = (C₂×C₂₈)⋊₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).3C2^2	448,205
(C₂³×D₇).₄C₂² = (C₂×Dic₇)⋊₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).4C2^2	448,206
(C₂³×D₇).₅C₂² = (C₂×C₄).₂₀D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).5C2^2	448,207
(C₂³×D₇).₆C₂² = (C₂×C₄).₂₁D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).6C2^2	448,208
(C₂³×D₇).₇C₂² = (C₂²×D₇).₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).7C2^2	448,209
(C₂³×D₇).₈C₂² = (C₂²×D₇).Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).8C2^2	448,210
(C₂³×D₇).₉C₂² = (C₂×C₂₈).₃₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).9C2^2	448,211
(C₂³×D₇).₁₀C₂² = D₇×C₂³⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	56	8+	(C2^3xD7).10C2^2	448,277
(C₂³×D₇).₁₁C₂² = (C₂×C₄)⋊₆D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).11C2^2	448,473
(C₂³×D₇).₁₂C₂² = (C₂×C₄²)⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).12C2^2	448,474
(C₂³×D₇).₁₃C₂² = C₂⁴.₁₃D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).13C2^2	448,491
(C₂³×D₇).₁₄C₂² = C₂³.₄₅D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).14C2^2	448,492
(C₂³×D₇).₁₅C₂² = C₂⁴.₁₄D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).15C2^2	448,493
(C₂³×D₇).₁₆C₂² = C₂³⋊₂D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).16C2^2	448,494
(C₂³×D₇).₁₇C₂² = C₂³.₁₆D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).17C2^2	448,495
(C₂³×D₇).₁₈C₂² = (C₂×D₂₈)⋊₁₀C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).18C2^2	448,522
(C₂³×D₇).₁₉C₂² = D₁₄⋊C₄⋊₇C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).19C2^2	448,524
(C₂³×D₇).₂₀C₂² = (C₂×C₄)⋊₃D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).20C2^2	448,525
(C₂³×D₇).₂₁C₂² = (C₂×C₂₈).₂₈₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).21C2^2	448,526
(C₂³×D₇).₂₂C₂² = (C₂×C₂₈).₂₉₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).22C2^2	448,527
(C₂³×D₇).₂₃C₂² = (C₂×C₄).₄₅D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).23C2^2	448,528
(C₂³×D₇).₂₄C₂² = C₂³.₂₈D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).24C2^2	448,747
(C₂³×D₇).₂₅C₂² = C₂⁴.₂₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).25C2^2	448,757
(C₂³×D₇).₂₆C₂² = (C₂²×Q₈)⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).26C2^2	448,765
(C₂³×D₇).₂₇C₂² = C₂×C₂₈⋊₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).27C2^2	448,928
(C₂³×D₇).₂₈C₂² = C₂×C₄.D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).28C2^2	448,929
(C₂³×D₇).₂₉C₂² = C₂×C₄²⋊₂D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).29C2^2	448,931
(C₂³×D₇).₃₀C₂² = C₂⁴.₂₄D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).30C2^2	448,939
(C₂³×D₇).₃₁C₂² = C₂⁴.₂₇D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).31C2^2	448,943
(C₂³×D₇).₃₂C₂² = C₂×Dic₇.D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).32C2^2	448,944
(C₂³×D₇).₃₃C₂² = C₂×C₂².D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).33C2^2	448,945
(C₂³×D₇).₃₄C₂² = C₂×C₄⋊C₄⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).34C2^2	448,965
(C₂³×D₇).₃₅C₂² = C₄²⋊₇D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).35C2^2	448,974
(C₂³×D₇).₃₆C₂² = C₄²⋊₉D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).36C2^2	448,978
(C₂³×D₇).₃₇C₂² = C₄²⋊₁₀D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).37C2^2	448,980
(C₂³×D₇).₃₈C₂² = C₄²⋊₁₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).38C2^2	448,998
(C₂³×D₇).₃₉C₂² = D₂₈⋊₂₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).39C2^2	448,1003
(C₂³×D₇).₄₀C₂² = D₄⋊₅D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).40C2^2	448,1007
(C₂³×D₇).₄₁C₂² = C₄²⋊₁₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).41C2^2	448,1009
(C₂³×D₇).₄₂C₂² = C₄²⋊₁₇D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).42C2^2	448,1013
(C₂³×D₇).₄₃C₂² = C₂⁴.₃₃D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).43C2^2	448,1044
(C₂³×D₇).₄₄C₂² = C₂⁴.₃₄D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).44C2^2	448,1045
(C₂³×D₇).₄₅C₂² = D₇×C₄⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).45C2^2	448,1057
(C₂³×D₇).₄₆C₂² = C₁₄.₃₈2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).46C2^2	448,1060
(C₂³×D₇).₄₇C₂² = C₁₄.₄₀2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).47C2^2	448,1063
(C₂³×D₇).₄₈C₂² = D₂₈⋊₂₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).48C2^2	448,1065
(C₂³×D₇).₄₉C₂² = C₁₄.₄₂2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).49C2^2	448,1066
(C₂³×D₇).₅₀C₂² = C₁₄.₄₆2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).50C2^2	448,1070
(C₂³×D₇).₅₁C₂² = C₁₄.₄₈2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).51C2^2	448,1073
(C₂³×D₇).₅₂C₂² = D₂₈⋊₂₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).52C2^2	448,1083
(C₂³×D₇).₅₃C₂² = C₁₄.₅₁2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).53C2^2	448,1087
(C₂³×D₇).₅₄C₂² = C₁₄.₅₃2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).54C2^2	448,1090
(C₂³×D₇).₅₅C₂² = C₁₄.₅₆2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).55C2^2	448,1097
(C₂³×D₇).₅₆C₂² = D₇×C₂².D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).56C2^2	448,1105
(C₂³×D₇).₅₇C₂² = C₁₄.₁₂₁2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).57C2^2	448,1107
(C₂³×D₇).₅₈C₂² = C₁₄.₆₁2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).58C2^2	448,1110
(C₂³×D₇).₅₉C₂² = C₁₄.₁₂₂2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).59C2^2	448,1111
(C₂³×D₇).₆₀C₂² = C₁₄.₆₂2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).60C2^2	448,1112
(C₂³×D₇).₆₁C₂² = C₁₄.₆₈2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).61C2^2	448,1119
(C₂³×D₇).₆₂C₂² = D₇×C₄.₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).62C2^2	448,1126
(C₂³×D₇).₆₃C₂² = C₄²⋊₁₈D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).63C2^2	448,1127
(C₂³×D₇).₆₄C₂² = D₂₈⋊₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).64C2^2	448,1129
(C₂³×D₇).₆₅C₂² = C₄²⋊₂₀D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).65C2^2	448,1131
(C₂³×D₇).₆₆C₂² = C₄²⋊₂₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).66C2^2	448,1132
(C₂³×D₇).₆₇C₂² = D₇×C₄²⋊₂C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).67C2^2	448,1156
(C₂³×D₇).₆₈C₂² = C₄²⋊₂₃D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).68C2^2	448,1157
(C₂³×D₇).₆₉C₂² = C₄²⋊₂₄D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).69C2^2	448,1158
(C₂³×D₇).₇₀C₂² = C₄²⋊₂₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).70C2^2	448,1164
(C₂³×D₇).₇₁C₂² = D₇×C₄⋊₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).71C2^2	448,1167
(C₂³×D₇).₇₂C₂² = C₄²⋊₂₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).72C2^2	448,1168
(C₂³×D₇).₇₃C₂² = C₄²⋊₂₈D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).73C2^2	448,1173
(C₂³×D₇).₇₄C₂² = C₂×C₂³.₂₃D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).74C2^2	448,1242
(C₂³×D₇).₇₅C₂² = C₂×C₂₈⋊₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).75C2^2	448,1243
(C₂³×D₇).₇₆C₂² = C₂×Dic₇⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).76C2^2	448,1255
(C₂³×D₇).₇₇C₂² = C₂×C₂₈⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).77C2^2	448,1256
(C₂³×D₇).₇₈C₂² = C₂×C₂₈.₂₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	224		(C2^3xD7).78C2^2	448,1267
(C₂³×D₇).₇₉C₂² = C₁₄.₁₄₅2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).79C2^2	448,1282
(C₂³×D₇).₈₀C₂² = C₁₄.₁₄₆2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₇	112		(C2^3xD7).80C2^2	448,1283
(C₂³×D₇).₈₁C₂² = C₂².₅₈(D₄×D₇)	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).81C2^2	448,198
(C₂³×D₇).₈₂C₂² = (C₂×C₄)⋊₉D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).82C2^2	448,199
(C₂³×D₇).₈₃C₂² = D₁₄⋊C₄²	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).83C2^2	448,200
(C₂³×D₇).₈₄C₂² = D₁₄⋊(C₄⋊C₄)	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).84C2^2	448,201
(C₂³×D₇).₈₅C₂² = D₁₄⋊C₄⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).85C2^2	448,202
(C₂³×D₇).₈₆C₂² = C₄×D₁₄⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).86C2^2	448,472
(C₂³×D₇).₈₇C₂² = C₂³.₄₄D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7).87C2^2	448,489
(C₂³×D₇).₈₈C₂² = C₂⁴.₁₂D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).88C2^2	448,490
(C₂³×D₇).₈₉C₂² = C₄⋊(D₁₄⋊C₄)	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).89C2^2	448,521
(C₂³×D₇).₉₀C₂² = D₁₄⋊C₄⋊₆C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).90C2^2	448,523
(C₂³×D₇).₉₁C₂² = C₂×C₄²⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).91C2^2	448,925
(C₂³×D₇).₉₂C₂² = C₂×C₄×D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).92C2^2	448,926
(C₂³×D₇).₉₃C₂² = C₂×D₇×C₂²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7).93C2^2	448,937
(C₂³×D₇).₉₄C₂² = C₂×Dic₇⋊₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).94C2^2	448,938
(C₂³×D₇).₉₅C₂² = C₂×D₁₄.D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).95C2^2	448,941
(C₂³×D₇).₉₆C₂² = C₂×D₁₄⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).96C2^2	448,942
(C₂³×D₇).₉₇C₂² = C₂×C₄⋊C₄⋊₇D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).97C2^2	448,955
(C₂³×D₇).₉₈C₂² = C₂×D₂₈⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).98C2^2	448,956
(C₂³×D₇).₉₉C₂² = C₂×D₁₄.₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).99C2^2	448,958
(C₂³×D₇).₁₀₀C₂² = C₂×C₄⋊D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).100C2^2	448,959
(C₂³×D₇).₁₀₁C₂² = C₂×D₁₄⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).101C2^2	448,961
(C₂³×D₇).₁₀₂C₂² = C₂×D₁₄⋊₂Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).102C2^2	448,962
(C₂³×D₇).₁₀₃C₂² = D₇×C₄²⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7).103C2^2	448,973
(C₂³×D₇).₁₀₄C₂² = C₄²⋊₈D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7).104C2^2	448,977
(C₂³×D₇).₁₀₅C₂² = C₄×D₄×D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7).105C2^2	448,997
(C₂³×D₇).₁₀₆C₂² = C₄²⋊₁₂D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7).106C2^2	448,1000
(C₂³×D₇).₁₀₇C₂² = C₄⋊C₄⋊₂₁D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7).107C2^2	448,1059
(C₂³×D₇).₁₀₈C₂² = D₇×C₂²⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7).108C2^2	448,1079
(C₂³×D₇).₁₀₉C₂² = C₄⋊C₄⋊₂₆D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7).109C2^2	448,1080
(C₂³×D₇).₁₁₀C₂² = C₄⋊C₄⋊₂₈D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7).110C2^2	448,1109
(C₂³×D₇).₁₁₁C₂² = C₂²×D₁₄⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).111C2^2	448,1240
(C₂³×D₇).₁₁₂C₂² = C₂×C₄×C₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).112C2^2	448,1241
(C₂³×D₇).₁₁₃C₂² = C₂×C₂₈⋊₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).113C2^2	448,1253
(C₂³×D₇).₁₁₄C₂² = C₂×D₁₄⋊₃Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).114C2^2	448,1266
(C₂³×D₇).₁₁₅C₂² = (C₂×C₂₈)⋊₁₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7).115C2^2	448,1281
(C₂³×D₇).₁₁₆C₂² = C₂²×C₄○D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).116C2^2	448,1368
(C₂³×D₇).₁₁₇C₂² = C₂²×D₄⋊₂D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).117C2^2	448,1370
(C₂³×D₇).₁₁₈C₂² = C₂²×Q₈⋊₂D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).118C2^2	448,1373
(C₂³×D₇).₁₁₉C₂² = C₂×D₇×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7).119C2^2	448,1375
(C₂³×D₇).₁₂₀C₂² = D₇×C₂.C₄²	φ: trivial image	224		(C2^3xD7).120C2^2	448,197
(C₂³×D₇).₁₂₁C₂² = D₇×C₂×C₄²	φ: trivial image	224		(C2^3xD7).121C2^2	448,924
(C₂³×D₇).₁₂₂C₂² = C₂×D₇×C₄⋊C₄	φ: trivial image	224		(C2^3xD7).122C2^2	448,954
(C₂³×D₇).₁₂₃C₂² = D₇×C₂³×C₄	φ: trivial image	224		(C2^3xD7).123C2^2	448,1366
(C₂³×D₇).₁₂₄C₂² = C₂²×Q₈×D₇	φ: trivial image	224		(C2^3xD7).124C2^2	448,1372

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Extensions 1→N→G→Q→1 with N=C23×D7 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂³×D₇ and Q=C₂²