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

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

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

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

extension	φ:Q→Out N	d	Label	ID
(C₄×D₇)⋊₁(C₂×C₄) = C₁₄.₈2₊¹⁺⁴	φ: C₂×C₄/C₂ → C₂² ⊆ Out C₄×D₇	224	(C4xD7):1(C2xC4)	448,957
(C₄×D₇)⋊₂(C₂×C₄) = C₄².₉₁D₁₄	φ: C₂×C₄/C₂ → C₂² ⊆ Out C₄×D₇	224	(C4xD7):2(C2xC4)	448,976
(C₄×D₇)⋊₃(C₂×C₄) = C₄²⋊₁₁D₁₄	φ: C₂×C₄/C₂ → C₂² ⊆ Out C₄×D₇	112	(C4xD7):3(C2xC4)	448,998
(C₄×D₇)⋊₄(C₂×C₄) = C₄².₁₀₈D₁₄	φ: C₂×C₄/C₂ → C₂² ⊆ Out C₄×D₇	224	(C4xD7):4(C2xC4)	448,999
(C₄×D₇)⋊₅(C₂×C₄) = C₄².₁₂₆D₁₄	φ: C₂×C₄/C₂ → C₂² ⊆ Out C₄×D₇	224	(C4xD7):5(C2xC4)	448,1027
(C₄×D₇)⋊₆(C₂×C₄) = C₄×D₄⋊₂D₇	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₄×D₇	224	(C4xD7):6(C2xC4)	448,989
(C₄×D₇)⋊₇(C₂×C₄) = C₄×D₄×D₇	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₄×D₇	112	(C4xD7):7(C2xC4)	448,997
(C₄×D₇)⋊₈(C₂×C₄) = C₄×Q₈⋊₂D₇	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₄×D₇	224	(C4xD7):8(C2xC4)	448,1026
(C₄×D₇)⋊₉(C₂×C₄) = C₄×C₄○D₂₈	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₄×D₇	224	(C4xD7):9(C2xC4)	448,927
(C₄×D₇)⋊₁₀(C₂×C₄) = C₄².₁₈₈D₁₄	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₄×D₇	224	(C4xD7):10(C2xC4)	448,975
(C₄×D₇)⋊₁₁(C₂×C₄) = C₂×D₇×C₄⋊C₄	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₄×D₇	224	(C4xD7):11(C2xC4)	448,954
(C₄×D₇)⋊₁₂(C₂×C₄) = C₂×C₄⋊C₄⋊₇D₇	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₄×D₇	224	(C4xD7):12(C2xC4)	448,955
(C₄×D₇)⋊₁₃(C₂×C₄) = C₂×C₄²⋊D₇	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₄×D₇	224	(C4xD7):13(C2xC4)	448,925
(C₄×D₇)⋊₁₄(C₂×C₄) = D₇×C₄²⋊C₂	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₄×D₇	112	(C4xD7):14(C2xC4)	448,973

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₇).₁(C₂×C₄) = (D₄×D₇)⋊C₄	φ: C₂×C₄/C₂ → C₂² ⊆ Out C₄×D₇	112		(C4xD7).1(C2xC4)	448,304
(C₄×D₇).₂(C₂×C₄) = D₄⋊(C₄×D₇)	φ: C₂×C₄/C₂ → C₂² ⊆ Out C₄×D₇	224		(C4xD7).2(C2xC4)	448,305
(C₄×D₇).₃(C₂×C₄) = (Q₈×D₇)⋊C₄	φ: C₂×C₄/C₂ → C₂² ⊆ Out C₄×D₇	224		(C4xD7).3(C2xC4)	448,336
(C₄×D₇).₄(C₂×C₄) = Q₈⋊(C₄×D₇)	φ: C₂×C₄/C₂ → C₂² ⊆ Out C₄×D₇	224		(C4xD7).4(C2xC4)	448,337
(C₄×D₇).₅(C₂×C₄) = C₄²⋊D₁₄	φ: C₂×C₄/C₂ → C₂² ⊆ Out C₄×D₇	112	4	(C4xD7).5(C2xC4)	448,355
(C₄×D₇).₆(C₂×C₄) = C₈⋊(C₄×D₇)	φ: C₂×C₄/C₂ → C₂² ⊆ Out C₄×D₇	224		(C4xD7).6(C2xC4)	448,395
(C₄×D₇).₇(C₂×C₄) = C₅₆⋊(C₂×C₄)	φ: C₂×C₄/C₂ → C₂² ⊆ Out C₄×D₇	224		(C4xD7).7(C2xC4)	448,415
(C₄×D₇).₈(C₂×C₄) = M₄(2).₂₅D₁₄	φ: C₂×C₄/C₂ → C₂² ⊆ Out C₄×D₇	112	4	(C4xD7).8(C2xC4)	448,427
(C₄×D₇).₉(C₂×C₄) = C₄².₁₂₅D₁₄	φ: C₂×C₄/C₂ → C₂² ⊆ Out C₄×D₇	224		(C4xD7).9(C2xC4)	448,1025
(C₄×D₇).₁₀(C₂×C₄) = C₂₈.₇₀C₂⁴	φ: C₂×C₄/C₂ → C₂² ⊆ Out C₄×D₇	112	4	(C4xD7).10(C2xC4)	448,1198
(C₄×D₇).₁₁(C₂×C₄) = C₅₆.₄₉C₂³	φ: C₂×C₄/C₂ → C₂² ⊆ Out C₄×D₇	112	4	(C4xD7).11(C2xC4)	448,1203
(C₄×D₇).₁₂(C₂×C₄) = D₇×D₄⋊C₄	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₄×D₇	112		(C4xD7).12(C2xC4)	448,303
(C₄×D₇).₁₃(C₂×C₄) = D₄⋊₂D₇⋊C₄	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7).13(C2xC4)	448,306
(C₄×D₇).₁₄(C₂×C₄) = D₇×Q₈⋊C₄	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7).14(C2xC4)	448,335
(C₄×D₇).₁₅(C₂×C₄) = Q₈⋊₂D₇⋊C₄	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7).15(C2xC4)	448,338
(C₄×D₇).₁₆(C₂×C₄) = D₇×C₄≀C₂	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₄×D₇	56	4	(C4xD7).16(C2xC4)	448,354
(C₄×D₇).₁₇(C₂×C₄) = C₄×Q₈×D₇	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7).17(C2xC4)	448,1024
(C₄×D₇).₁₈(C₂×C₄) = D₇×C₈○D₄	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₄×D₇	112	4	(C4xD7).18(C2xC4)	448,1202
(C₄×D₇).₁₉(C₂×C₄) = C₄×C₈⋊D₇	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7).19(C2xC4)	448,221
(C₄×D₇).₂₀(C₂×C₄) = Dic₇.C₄²	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7).20(C2xC4)	448,241
(C₄×D₇).₂₁(C₂×C₄) = D₂₈.₄C₈	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₄×D₇	224	2	(C4xD7).21(C2xC4)	448,435
(C₄×D₇).₂₂(C₂×C₄) = C₁₆.₁₂D₁₄	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₄×D₇	224	4	(C4xD7).22(C2xC4)	448,441
(C₄×D₇).₂₃(C₂×C₄) = C₂×D₂₈.₂C₄	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7).23(C2xC4)	448,1191
(C₄×D₇).₂₄(C₂×C₄) = C₂×D₂₈.C₄	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7).24(C2xC4)	448,1197
(C₄×D₇).₂₅(C₂×C₄) = D₇×C₄.Q₈	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₄×D₇	224		(C4xD7).25(C2xC4)	448,393
(C₄×D₇).₂₆(C₂×C₄) = (C₈×D₇)⋊C₄	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₄×D₇	224		(C4xD7).26(C2xC4)	448,394
(C₄×D₇).₂₇(C₂×C₄) = D₇×C₂.D₈	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₄×D₇	224		(C4xD7).27(C2xC4)	448,413
(C₄×D₇).₂₈(C₂×C₄) = C₈.₂₇(C₄×D₇)	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₄×D₇	224		(C4xD7).28(C2xC4)	448,414
(C₄×D₇).₂₉(C₂×C₄) = D₇×C₈.C₄	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₄×D₇	112	4	(C4xD7).29(C2xC4)	448,426
(C₄×D₇).₃₀(C₂×C₄) = C₂×D₇×M₄(2)	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₄×D₇	112		(C4xD7).30(C2xC4)	448,1196
(C₄×D₇).₃₁(C₂×C₄) = D₁₄.C₄²	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₄×D₇	224		(C4xD7).31(C2xC4)	448,223
(C₄×D₇).₃₂(C₂×C₄) = D₁₄.₄C₄²	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₄×D₇	224		(C4xD7).32(C2xC4)	448,242
(C₄×D₇).₃₃(C₂×C₄) = C₂×C₁₆⋊D₇	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₄×D₇	224		(C4xD7).33(C2xC4)	448,434
(C₄×D₇).₃₄(C₂×C₄) = D₇×M₅(2)	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₄×D₇	112	4	(C4xD7).34(C2xC4)	448,440
(C₄×D₇).₃₅(C₂×C₄) = C₂²×C₈⋊D₇	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₄×D₇	224		(C4xD7).35(C2xC4)	448,1190
(C₄×D₇).₃₆(C₂×C₄) = D₇×C₄×C₈	φ: trivial image	224		(C4xD7).36(C2xC4)	448,218
(C₄×D₇).₃₇(C₂×C₄) = D₇×C₈⋊C₄	φ: trivial image	224		(C4xD7).37(C2xC4)	448,238
(C₄×D₇).₃₈(C₂×C₄) = D₇×C₂×C₁₆	φ: trivial image	224		(C4xD7).38(C2xC4)	448,433
(C₄×D₇).₃₉(C₂×C₄) = D₇×C₂²×C₈	φ: trivial image	224		(C4xD7).39(C2xC4)	448,1189

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

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