Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₄×D₇

Direct product G=N×Q with N=C₂×C₄ and Q=C₄×D₇

		d	ρ	Label	ID
D₇×C₂×C₄²		224		D7xC2xC4^2	448,924

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₄×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁(C₄×D₇) = D₇×C₂³⋊C₄	φ: C₄×D₇/D₇ → C₄ ⊆ Aut C₂×C₄	56	8+	(C2xC4):1(C4xD7)	448,277
(C₂×C₄)⋊₂(C₄×D₇) = (C₂×C₄)⋊₉D₂₈	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4):2(C4xD7)	448,199
(C₂×C₄)⋊₃(C₄×D₇) = D₁₄⋊C₄⋊C₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4):3(C4xD7)	448,202
(C₂×C₄)⋊₄(C₄×D₇) = D₁₄⋊C₄⋊₆C₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4):4(C4xD7)	448,523
(C₂×C₄)⋊₅(C₄×D₇) = C₁₄.₈2₊¹⁺⁴	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4):5(C4xD7)	448,957
(C₂×C₄)⋊₆(C₄×D₇) = C₄²⋊₇D₁₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	112		(C2xC4):6(C4xD7)	448,974
(C₂×C₄)⋊₇(C₄×D₇) = C₄².₉₁D₁₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4):7(C4xD7)	448,976
(C₂×C₄)⋊₈(C₄×D₇) = D₁₄⋊C₄²	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4):8(C4xD7)	448,200
(C₂×C₄)⋊₉(C₄×D₇) = C₂×D₂₈⋊C₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4):9(C4xD7)	448,956
(C₂×C₄)⋊₁₀(C₄×D₇) = C₄².₁₈₈D₁₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4):10(C4xD7)	448,975
(C₂×C₄)⋊₁₁(C₄×D₇) = C₄×D₁₄⋊C₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4):11(C4xD7)	448,472
(C₂×C₄)⋊₁₂(C₄×D₇) = C₂×C₄×D₂₈	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4):12(C4xD7)	448,926
(C₂×C₄)⋊₁₃(C₄×D₇) = C₄×C₄○D₂₈	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4):13(C4xD7)	448,927
(C₂×C₄)⋊₁₄(C₄×D₇) = D₇×C₂.C₄²	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4):14(C4xD7)	448,197
(C₂×C₄)⋊₁₅(C₄×D₇) = C₂×D₇×C₄⋊C₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4):15(C4xD7)	448,954
(C₂×C₄)⋊₁₆(C₄×D₇) = D₇×C₄²⋊C₂	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	112		(C2xC4):16(C4xD7)	448,973

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₄×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁(C₄×D₇) = C₂³.D₂₈	φ: C₄×D₇/D₇ → C₄ ⊆ Aut C₂×C₄	112	8-	(C2xC4).1(C4xD7)	448,30
(C₂×C₄).₂(C₄×D₇) = C₂³.₂D₂₈	φ: C₄×D₇/D₇ → C₄ ⊆ Aut C₂×C₄	56	8+	(C2xC4).2(C4xD7)	448,31
(C₂×C₄).₃(C₄×D₇) = (C₂×C₄).D₂₈	φ: C₄×D₇/D₇ → C₄ ⊆ Aut C₂×C₄	112	8+	(C2xC4).3(C4xD7)	448,34
(C₂×C₄).₄(C₄×D₇) = (C₂×Q₈).D₁₄	φ: C₄×D₇/D₇ → C₄ ⊆ Aut C₂×C₄	112	8-	(C2xC4).4(C4xD7)	448,35
(C₂×C₄).₅(C₄×D₇) = C₂³⋊C₄⋊₅D₇	φ: C₄×D₇/D₇ → C₄ ⊆ Aut C₂×C₄	112	8-	(C2xC4).5(C4xD7)	448,274
(C₂×C₄).₆(C₄×D₇) = D₇×C₄.₁₀D₄	φ: C₄×D₇/D₇ → C₄ ⊆ Aut C₂×C₄	112	8-	(C2xC4).6(C4xD7)	448,284
(C₂×C₄).₇(C₄×D₇) = M₄(2).₂₁D₁₄	φ: C₄×D₇/D₇ → C₄ ⊆ Aut C₂×C₄	112	8+	(C2xC4).7(C4xD7)	448,285
(C₂×C₄).₈(C₄×D₇) = C₁₄.C₄≀C₂	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	112		(C2xC4).8(C4xD7)	448,8
(C₂×C₄).₉(C₄×D₇) = C₄⋊Dic₇⋊C₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	112		(C2xC4).9(C4xD7)	448,9
(C₂×C₄).₁₀(C₄×D₇) = C₄².D₁₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).10(C4xD7)	448,21
(C₂×C₄).₁₁(C₄×D₇) = C₄².₂D₁₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	448		(C2xC4).11(C4xD7)	448,22
(C₂×C₄).₁₂(C₄×D₇) = C₂³.₃₀D₂₈	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	112		(C2xC4).12(C4xD7)	448,24
(C₂×C₄).₁₃(C₄×D₇) = C₂².₂D₅₆	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	112		(C2xC4).13(C4xD7)	448,27
(C₂×C₄).₁₄(C₄×D₇) = C₄.Dic₂₈	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	448		(C2xC4).14(C4xD7)	448,38
(C₂×C₄).₁₅(C₄×D₇) = C₂₈.₄₇D₈	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	448		(C2xC4).15(C4xD7)	448,39
(C₂×C₄).₁₆(C₄×D₇) = C₄.D₅₆	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).16(C4xD7)	448,42
(C₂×C₄).₁₇(C₄×D₇) = C₂₈.₂D₈	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	448		(C2xC4).17(C4xD7)	448,43
(C₂×C₄).₁₈(C₄×D₇) = C₂₈.(C₄⋊C₄)	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).18(C4xD7)	448,87
(C₂×C₄).₁₉(C₄×D₇) = (C₂×C₂₈).Q₈	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	112	4	(C2xC4).19(C4xD7)	448,90
(C₂×C₄).₂₀(C₄×D₇) = M₄(2)⋊Dic₇	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).20(C4xD7)	448,111
(C₂×C₄).₂₁(C₄×D₇) = (C₂×C₅₆)⋊C₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	112	4	(C2xC4).21(C4xD7)	448,113
(C₂×C₄).₂₂(C₄×D₇) = (C₂×C₂₈)⋊Q₈	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	448		(C2xC4).22(C4xD7)	448,180
(C₂×C₄).₂₃(C₄×D₇) = C₁₄.(C₄×Q₈)	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	448		(C2xC4).23(C4xD7)	448,181
(C₂×C₄).₂₄(C₄×D₇) = C₄⋊Dic₇⋊₇C₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	448		(C2xC4).24(C4xD7)	448,187
(C₂×C₄).₂₅(C₄×D₇) = C₄⋊Dic₇⋊₈C₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	448		(C2xC4).25(C4xD7)	448,188
(C₂×C₄).₂₆(C₄×D₇) = C₁₄.(C₄×D₄)	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	448		(C2xC4).26(C4xD7)	448,189
(C₂×C₄).₂₇(C₄×D₇) = C₂.(C₄×D₂₈)	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).27(C4xD7)	448,204
(C₂×C₄).₂₈(C₄×D₇) = C₅₆⋊Q₈	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	448		(C2xC4).28(C4xD7)	448,235
(C₂×C₄).₂₉(C₄×D₇) = C₈⋊₉D₂₈	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).29(C4xD7)	448,240
(C₂×C₄).₃₀(C₄×D₇) = C₅₆⋊C₄⋊C₂	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).30(C4xD7)	448,254
(C₂×C₄).₃₁(C₄×D₇) = D₁₄⋊C₈⋊C₂	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).31(C4xD7)	448,261
(C₂×C₄).₃₂(C₄×D₇) = D₁₄⋊₂M₄(2)	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).32(C4xD7)	448,262
(C₂×C₄).₃₃(C₄×D₇) = Dic₇⋊M₄(2)	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).33(C4xD7)	448,263
(C₂×C₄).₃₄(C₄×D₇) = C₄².₂₇D₁₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	448		(C2xC4).34(C4xD7)	448,362
(C₂×C₄).₃₅(C₄×D₇) = D₁₄⋊₃M₄(2)	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).35(C4xD7)	448,370
(C₂×C₄).₃₆(C₄×D₇) = C₄².₃₀D₁₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).36(C4xD7)	448,373
(C₂×C₄).₃₇(C₄×D₇) = C₄².₃₁D₁₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).37(C4xD7)	448,374
(C₂×C₄).₃₈(C₄×D₇) = C₄.Dic₇⋊C₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).38(C4xD7)	448,498
(C₂×C₄).₃₉(C₄×D₇) = C₄○D₂₈⋊C₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).39(C4xD7)	448,500
(C₂×C₄).₄₀(C₄×D₇) = Dic₇⋊(C₄⋊C₄)	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	448		(C2xC4).40(C4xD7)	448,506
(C₂×C₄).₄₁(C₄×D₇) = C₂².₂₃(Q₈×D₇)	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	448		(C2xC4).41(C4xD7)	448,512
(C₂×C₄).₄₂(C₄×D₇) = D₁₄⋊C₄⋊₇C₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).42(C4xD7)	448,524
(C₂×C₄).₄₃(C₄×D₇) = C₂₈.(C₂×Q₈)	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).43(C4xD7)	448,529
(C₂×C₄).₄₄(C₄×D₇) = C₄⋊C₄⋊₃₆D₁₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	112		(C2xC4).44(C4xD7)	448,535
(C₂×C₄).₄₅(C₄×D₇) = (C₂×C₄).₄₇D₂₈	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).45(C4xD7)	448,538
(C₂×C₄).₄₆(C₄×D₇) = C₄²⋊₄D₁₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	112	4	(C2xC4).46(C4xD7)	448,539
(C₂×C₄).₄₇(C₄×D₇) = (C₂×D₂₈)⋊₁₃C₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	112	4	(C2xC4).47(C4xD7)	448,540
(C₂×C₄).₄₈(C₄×D₇) = C₂³.₄₆D₂₈	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).48(C4xD7)	448,654
(C₂×C₄).₄₉(C₄×D₇) = C₂³.Dic₁₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	112	4	(C2xC4).49(C4xD7)	448,658
(C₂×C₄).₅₀(C₄×D₇) = C₅₆⋊D₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).50(C4xD7)	448,661
(C₂×C₄).₅₁(C₄×D₇) = C₅₆⋊₁₈D₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).51(C4xD7)	448,662
(C₂×C₄).₅₂(C₄×D₇) = C₂×C₂₈.₄₆D₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	112		(C2xC4).52(C4xD7)	448,664
(C₂×C₄).₅₃(C₄×D₇) = C₂³.₄₈D₂₈	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	112		(C2xC4).53(C4xD7)	448,665
(C₂×C₄).₅₄(C₄×D₇) = C₂³.₄₉D₂₈	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).54(C4xD7)	448,667
(C₂×C₄).₅₅(C₄×D₇) = C₂×C₄.₁₂D₂₈	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).55(C4xD7)	448,670
(C₂×C₄).₅₆(C₄×D₇) = C₂³.₂₀D₂₈	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	112	4	(C2xC4).56(C4xD7)	448,673
(C₂×C₄).₅₇(C₄×D₇) = C₄².₈₇D₁₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	224		(C2xC4).57(C4xD7)	448,969
(C₂×C₄).₅₈(C₄×D₇) = C₂₈.₇₀C₂⁴	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂×C₄	112	4	(C2xC4).58(C4xD7)	448,1198
(C₂×C₄).₅₉(C₄×D₇) = Dic₇⋊C₄⋊C₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).59(C4xD7)	448,186
(C₂×C₄).₆₀(C₄×D₇) = D₁₄⋊C₄⋊₅C₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).60(C4xD7)	448,203
(C₂×C₄).₆₁(C₄×D₇) = D₁₄.₄C₄²	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).61(C4xD7)	448,242
(C₂×C₄).₆₂(C₄×D₇) = C₄².₁₈₅D₁₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).62(C4xD7)	448,243
(C₂×C₄).₆₃(C₄×D₇) = C₇⋊D₄⋊C₈	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).63(C4xD7)	448,259
(C₂×C₄).₆₄(C₄×D₇) = C₇⋊C₈⋊₂₆D₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).64(C4xD7)	448,264
(C₂×C₄).₆₅(C₄×D₇) = D₂₈⋊₂C₈	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).65(C4xD7)	448,40
(C₂×C₄).₆₆(C₄×D₇) = Dic₁₄⋊₂C₈	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).66(C4xD7)	448,41
(C₂×C₄).₆₇(C₄×D₇) = Dic₁₄.C₈	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	224	4	(C2xC4).67(C4xD7)	448,72
(C₂×C₄).₆₈(C₄×D₇) = C₂₈.₂C₄²	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	112		(C2xC4).68(C4xD7)	448,89
(C₂×C₄).₆₉(C₄×D₇) = C₂₈.₃C₄²	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	112		(C2xC4).69(C4xD7)	448,112
(C₂×C₄).₇₀(C₄×D₇) = Dic₁₄⋊C₈	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).70(C4xD7)	448,364
(C₂×C₄).₇₁(C₄×D₇) = C₂₈.M₄(2)	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).71(C4xD7)	448,365
(C₂×C₄).₇₂(C₄×D₇) = D₂₈⋊C₈	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).72(C4xD7)	448,368
(C₂×C₄).₇₃(C₄×D₇) = C₂₈⋊₂M₄(2)	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).73(C4xD7)	448,372
(C₂×C₄).₇₄(C₄×D₇) = C₁₆.₁₂D₁₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	224	4	(C2xC4).74(C4xD7)	448,441
(C₂×C₄).₇₅(C₄×D₇) = C₂×C₁₄.D₈	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).75(C4xD7)	448,499
(C₂×C₄).₇₆(C₄×D₇) = C₂×C₁₄.Q₁₆	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).76(C4xD7)	448,503
(C₂×C₄).₇₇(C₄×D₇) = C₂₈⋊(C₄⋊C₄)	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).77(C4xD7)	448,507
(C₂×C₄).₇₈(C₄×D₇) = (C₂×Dic₇)⋊₆Q₈	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).78(C4xD7)	448,508
(C₂×C₄).₇₉(C₄×D₇) = (C₂×D₂₈)⋊₁₀C₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).79(C4xD7)	448,522
(C₂×C₄).₈₀(C₄×D₇) = C₂₈.₅C₄²	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).80(C4xD7)	448,531
(C₂×C₄).₈₁(C₄×D₇) = C₄.(C₂×D₂₈)	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).81(C4xD7)	448,536
(C₂×C₄).₈₂(C₄×D₇) = C₂₈.₄₃₉(C₂×D₄)	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).82(C4xD7)	448,653
(C₂×C₄).₈₃(C₄×D₇) = C₂₈.₇C₄²	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).83(C4xD7)	448,656
(C₂×C₄).₈₄(C₄×D₇) = (C₂×D₂₈).₁₄C₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).84(C4xD7)	448,663
(C₂×C₄).₈₅(C₄×D₇) = C₂×D₂₈⋊₄C₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	112		(C2xC4).85(C4xD7)	448,672
(C₂×C₄).₈₆(C₄×D₇) = C₂×Dic₇⋊₃Q₈	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).86(C4xD7)	448,949
(C₂×C₄).₈₇(C₄×D₇) = C₂×D₂₈.C₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).87(C4xD7)	448,1197
(C₂×C₄).₈₈(C₄×D₇) = D₁₄.C₄²	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).88(C4xD7)	448,223
(C₂×C₄).₈₉(C₄×D₇) = C₄².₂₄₃D₁₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).89(C4xD7)	448,224
(C₂×C₄).₉₀(C₄×D₇) = C₄×Dic₇⋊C₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).90(C4xD7)	448,465
(C₂×C₄).₉₁(C₄×D₇) = (C₂×C₄²).D₇	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).91(C4xD7)	448,467
(C₂×C₄).₉₂(C₄×D₇) = (C₂×C₄²)⋊D₇	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).92(C4xD7)	448,474
(C₂×C₄).₉₃(C₄×D₇) = C₈×C₇⋊D₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).93(C4xD7)	448,643
(C₂×C₄).₉₄(C₄×D₇) = C₅₆⋊₃₂D₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).94(C4xD7)	448,645
(C₂×C₄).₉₅(C₄×D₇) = C₄.₈Dic₂₈	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).95(C4xD7)	448,13
(C₂×C₄).₉₆(C₄×D₇) = C₄.₁₇D₅₆	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).96(C4xD7)	448,16
(C₂×C₄).₉₇(C₄×D₇) = D₂₈.C₈	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	224	2	(C2xC4).97(C4xD7)	448,65
(C₂×C₄).₉₈(C₄×D₇) = C₂₈.₈C₄²	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	112		(C2xC4).98(C4xD7)	448,80
(C₂×C₄).₉₉(C₄×D₇) = C₂₈.₉C₄²	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).99(C4xD7)	448,108
(C₂×C₄).₁₀₀(C₄×D₇) = C₂₈.₁₀C₄²	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).100(C4xD7)	448,109
(C₂×C₄).₁₀₁(C₄×D₇) = C₈×Dic₁₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).101(C4xD7)	448,212
(C₂×C₄).₁₀₂(C₄×D₇) = C₅₆⋊₁₁Q₈	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).102(C4xD7)	448,213
(C₂×C₄).₁₀₃(C₄×D₇) = C₈×D₂₈	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).103(C4xD7)	448,220
(C₂×C₄).₁₀₄(C₄×D₇) = C₈⋊₆D₂₈	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).104(C4xD7)	448,222
(C₂×C₄).₁₀₅(C₄×D₇) = D₂₈.₄C₈	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	224	2	(C2xC4).105(C4xD7)	448,435
(C₂×C₄).₁₀₆(C₄×D₇) = C₄×C₄.Dic₇	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).106(C4xD7)	448,456
(C₂×C₄).₁₀₇(C₄×D₇) = C₂×Dic₁₄⋊C₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	112		(C2xC4).107(C4xD7)	448,461
(C₂×C₄).₁₀₈(C₄×D₇) = C₂₈⋊₄(C₄⋊C₄)	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).108(C4xD7)	448,462
(C₂×C₄).₁₀₉(C₄×D₇) = (C₂×C₂₈)⋊₁₀Q₈	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).109(C4xD7)	448,463
(C₂×C₄).₁₁₀(C₄×D₇) = C₄×C₄⋊Dic₇	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).110(C4xD7)	448,468
(C₂×C₄).₁₁₁(C₄×D₇) = (C₂×C₄)⋊₆D₂₈	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).111(C4xD7)	448,473
(C₂×C₄).₁₁₂(C₄×D₇) = C₂₈.₁₂C₄²	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).112(C4xD7)	448,635
(C₂×C₄).₁₁₃(C₄×D₇) = Dic₇⋊C₈⋊C₂	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).113(C4xD7)	448,636
(C₂×C₄).₁₁₄(C₄×D₇) = C₂×C₂₈.₄₄D₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).114(C4xD7)	448,637
(C₂×C₄).₁₁₅(C₄×D₇) = (C₂²×C₈)⋊D₇	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).115(C4xD7)	448,644
(C₂×C₄).₁₁₆(C₄×D₇) = C₂×C₂.D₅₆	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).116(C4xD7)	448,646
(C₂×C₄).₁₁₇(C₄×D₇) = C₂³.₂₃D₂₈	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).117(C4xD7)	448,647
(C₂×C₄).₁₁₈(C₄×D₇) = C₂×C₄×Dic₁₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).118(C4xD7)	448,920
(C₂×C₄).₁₁₉(C₄×D₇) = C₂×D₂₈.₂C₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).119(C4xD7)	448,1191
(C₂×C₄).₁₂₀(C₄×D₇) = Dic₇.₅C₄²	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).120(C4xD7)	448,182
(C₂×C₄).₁₂₁(C₄×D₇) = Dic₇⋊C₄²	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).121(C4xD7)	448,183
(C₂×C₄).₁₂₂(C₄×D₇) = C₇⋊(C₄²⋊₈C₄)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).122(C4xD7)	448,184
(C₂×C₄).₁₂₃(C₄×D₇) = C₇⋊(C₄²⋊₅C₄)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).123(C4xD7)	448,185
(C₂×C₄).₁₂₄(C₄×D₇) = C₂².₅₈(D₄×D₇)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).124(C4xD7)	448,198
(C₂×C₄).₁₂₅(C₄×D₇) = D₁₄⋊(C₄⋊C₄)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).125(C4xD7)	448,201
(C₂×C₄).₁₂₆(C₄×D₇) = D₇×C₈⋊C₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).126(C4xD7)	448,238
(C₂×C₄).₁₂₇(C₄×D₇) = C₄².₁₈₂D₁₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).127(C4xD7)	448,239
(C₂×C₄).₁₂₈(C₄×D₇) = Dic₇.C₄²	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).128(C4xD7)	448,241
(C₂×C₄).₁₂₉(C₄×D₇) = Dic₇.₅M₄(2)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).129(C4xD7)	448,252
(C₂×C₄).₁₃₀(C₄×D₇) = Dic₇.M₄(2)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).130(C4xD7)	448,253
(C₂×C₄).₁₃₁(C₄×D₇) = D₇×C₂²⋊C₈	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	112		(C2xC4).131(C4xD7)	448,258
(C₂×C₄).₁₃₂(C₄×D₇) = D₁₄⋊M₄(2)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	112		(C2xC4).132(C4xD7)	448,260
(C₂×C₄).₁₃₃(C₄×D₇) = C₂₈.₅₃D₈	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).133(C4xD7)	448,36
(C₂×C₄).₁₃₄(C₄×D₇) = C₂₈.₃₉SD₁₆	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).134(C4xD7)	448,37
(C₂×C₄).₁₃₅(C₄×D₇) = C₅₆.₉Q₈	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	112	4	(C2xC4).135(C4xD7)	448,68
(C₂×C₄).₁₃₆(C₄×D₇) = C₁₁₂⋊C₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	112	4	(C2xC4).136(C4xD7)	448,69
(C₂×C₄).₁₃₇(C₄×D₇) = M₅(2)⋊D₇	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	112	4	(C2xC4).137(C4xD7)	448,71
(C₂×C₄).₁₃₈(C₄×D₇) = C₂₈.C₄²	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).138(C4xD7)	448,86
(C₂×C₄).₁₃₉(C₄×D₇) = C₄²⋊Dic₇	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	112	4	(C2xC4).139(C4xD7)	448,88
(C₂×C₄).₁₄₀(C₄×D₇) = C₂³.₉D₂₈	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	112	4	(C2xC4).140(C4xD7)	448,114
(C₂×C₄).₁₄₁(C₄×D₇) = C₂₈.₄C₄²	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).141(C4xD7)	448,115
(C₂×C₄).₁₄₂(C₄×D₇) = M₄(2)⋊₄Dic₇	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	112	4	(C2xC4).142(C4xD7)	448,116
(C₂×C₄).₁₄₃(C₄×D₇) = C₂₈.₂₁C₄²	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	112	4	(C2xC4).143(C4xD7)	448,117
(C₂×C₄).₁₄₄(C₄×D₇) = D₇×C₄⋊C₈	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).144(C4xD7)	448,366
(C₂×C₄).₁₄₅(C₄×D₇) = C₄².₂₀₀D₁₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).145(C4xD7)	448,367
(C₂×C₄).₁₄₆(C₄×D₇) = C₄².₂₀₂D₁₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).146(C4xD7)	448,369
(C₂×C₄).₁₄₇(C₄×D₇) = C₂₈⋊M₄(2)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).147(C4xD7)	448,371
(C₂×C₄).₁₄₈(C₄×D₇) = D₇×M₅(2)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	112	4	(C2xC4).148(C4xD7)	448,440
(C₂×C₄).₁₄₉(C₄×D₇) = C₂×C₂₈.Q₈	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).149(C4xD7)	448,496
(C₂×C₄).₁₅₀(C₄×D₇) = C₂×C₄.Dic₁₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).150(C4xD7)	448,497
(C₂×C₄).₁₅₁(C₄×D₇) = C₄⋊C₄×Dic₇	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).151(C4xD7)	448,509
(C₂×C₄).₁₅₂(C₄×D₇) = (C₄×Dic₇)⋊₈C₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).152(C4xD7)	448,510
(C₂×C₄).₁₅₃(C₄×D₇) = (C₄×Dic₇)⋊₉C₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).153(C4xD7)	448,511
(C₂×C₄).₁₅₄(C₄×D₇) = C₄⋊(D₁₄⋊C₄)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).154(C4xD7)	448,521
(C₂×C₄).₁₅₅(C₄×D₇) = C₂₈.₄₅(C₄⋊C₄)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).155(C4xD7)	448,532
(C₂×C₄).₁₅₆(C₄×D₇) = M₄(2)×Dic₇	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).156(C4xD7)	448,651
(C₂×C₄).₁₅₇(C₄×D₇) = Dic₇⋊₄M₄(2)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).157(C4xD7)	448,652
(C₂×C₄).₁₅₈(C₄×D₇) = C₂×C₂₈.₅₃D₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).158(C4xD7)	448,657
(C₂×C₄).₁₅₉(C₄×D₇) = D₁₄⋊₆M₄(2)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	112		(C2xC4).159(C4xD7)	448,660
(C₂×C₄).₁₆₀(C₄×D₇) = M₄(2).₃₁D₁₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	112	4	(C2xC4).160(C4xD7)	448,666
(C₂×C₄).₁₆₁(C₄×D₇) = C₂×C₄⋊C₄⋊₇D₇	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).161(C4xD7)	448,955
(C₂×C₄).₁₆₂(C₄×D₇) = C₂×D₇×M₄(2)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂×C₄	112		(C2xC4).162(C4xD7)	448,1196
(C₂×C₄).₁₆₃(C₄×D₇) = C₈×C₇⋊C₈	central extension (φ=1)	448		(C2xC4).163(C4xD7)	448,10
(C₂×C₄).₁₆₄(C₄×D₇) = C₄².₂₇₉D₁₄	central extension (φ=1)	448		(C2xC4).164(C4xD7)	448,11
(C₂×C₄).₁₆₅(C₄×D₇) = C₅₆⋊C₈	central extension (φ=1)	448		(C2xC4).165(C4xD7)	448,12
(C₂×C₄).₁₆₆(C₄×D₇) = C₁₆×Dic₇	central extension (φ=1)	448		(C2xC4).166(C4xD7)	448,57
(C₂×C₄).₁₆₇(C₄×D₇) = Dic₇⋊C₁₆	central extension (φ=1)	448		(C2xC4).167(C4xD7)	448,58
(C₂×C₄).₁₆₈(C₄×D₇) = C₁₁₂⋊₉C₄	central extension (φ=1)	448		(C2xC4).168(C4xD7)	448,59
(C₂×C₄).₁₆₉(C₄×D₇) = D₁₄⋊C₁₆	central extension (φ=1)	224		(C2xC4).169(C4xD7)	448,64
(C₂×C₄).₁₇₀(C₄×D₇) = (C₂×C₂₈)⋊₃C₈	central extension (φ=1)	448		(C2xC4).170(C4xD7)	448,81
(C₂×C₄).₁₇₁(C₄×D₇) = (C₂×C₅₆)⋊₅C₄	central extension (φ=1)	448		(C2xC4).171(C4xD7)	448,107
(C₂×C₄).₁₇₂(C₄×D₇) = D₇×C₄×C₈	central extension (φ=1)	224		(C2xC4).172(C4xD7)	448,218
(C₂×C₄).₁₇₃(C₄×D₇) = C₄².₂₈₂D₁₄	central extension (φ=1)	224		(C2xC4).173(C4xD7)	448,219
(C₂×C₄).₁₇₄(C₄×D₇) = C₄×C₈⋊D₇	central extension (φ=1)	224		(C2xC4).174(C4xD7)	448,221
(C₂×C₄).₁₇₅(C₄×D₇) = D₇×C₂×C₁₆	central extension (φ=1)	224		(C2xC4).175(C4xD7)	448,433
(C₂×C₄).₁₇₆(C₄×D₇) = C₂×C₁₆⋊D₇	central extension (φ=1)	224		(C2xC4).176(C4xD7)	448,434
(C₂×C₄).₁₇₇(C₄×D₇) = C₂×C₄×C₇⋊C₈	central extension (φ=1)	448		(C2xC4).177(C4xD7)	448,454
(C₂×C₄).₁₇₈(C₄×D₇) = C₂×C₄².D₇	central extension (φ=1)	448		(C2xC4).178(C4xD7)	448,455
(C₂×C₄).₁₇₉(C₄×D₇) = C₄²×Dic₇	central extension (φ=1)	448		(C2xC4).179(C4xD7)	448,464
(C₂×C₄).₁₈₀(C₄×D₇) = C₄²⋊₄Dic₇	central extension (φ=1)	448		(C2xC4).180(C4xD7)	448,466
(C₂×C₄).₁₈₁(C₄×D₇) = C₂×C₈×Dic₇	central extension (φ=1)	448		(C2xC4).181(C4xD7)	448,632
(C₂×C₄).₁₈₂(C₄×D₇) = C₂×Dic₇⋊C₈	central extension (φ=1)	448		(C2xC4).182(C4xD7)	448,633
(C₂×C₄).₁₈₃(C₄×D₇) = C₂×C₅₆⋊C₄	central extension (φ=1)	448		(C2xC4).183(C4xD7)	448,634
(C₂×C₄).₁₈₄(C₄×D₇) = C₂×D₁₄⋊C₈	central extension (φ=1)	224		(C2xC4).184(C4xD7)	448,642
(C₂×C₄).₁₈₅(C₄×D₇) = C₂×C₄²⋊D₇	central extension (φ=1)	224		(C2xC4).185(C4xD7)	448,925
(C₂×C₄).₁₈₆(C₄×D₇) = D₇×C₂²×C₈	central extension (φ=1)	224		(C2xC4).186(C4xD7)	448,1189
(C₂×C₄).₁₈₇(C₄×D₇) = C₂²×C₈⋊D₇	central extension (φ=1)	224		(C2xC4).187(C4xD7)	448,1190

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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C4×D7

Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₄×D₇