Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₂×C₄²

Direct product G=N×Q with N=C₁₄ and Q=C₂×C₄²

		d	ρ	Label	ID
C₂²×C₄×C₂₈		448		C2^2xC4xC28	448,1294

Semidirect products G=N:Q with N=C₁₄ and Q=C₂×C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊₁(C₂×C₄²) = D₇×C₂×C₄²	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₁₄	224		C14:1(C2xC4^2)	448,924
C₁₄⋊₂(C₂×C₄²) = C₂²×C₄×Dic₇	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₁₄	448		C14:2(C2xC4^2)	448,1235

Non-split extensions G=N.Q with N=C₁₄ and Q=C₂×C₄²

extension	φ:Q→Aut N	d	Label	ID
C₁₄.₁(C₂×C₄²) = Dic₇.₅C₄²	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₁₄	448	C14.1(C2xC4^2)	448,182
C₁₄.₂(C₂×C₄²) = Dic₇⋊C₄²	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₁₄	448	C14.2(C2xC4^2)	448,183
C₁₄.₃(C₂×C₄²) = D₇×C₂.C₄²	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₁₄	224	C14.3(C2xC4^2)	448,197
C₁₄.₄(C₂×C₄²) = D₁₄⋊C₄²	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₁₄	224	C14.4(C2xC4^2)	448,200
C₁₄.₅(C₂×C₄²) = D₇×C₄×C₈	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₁₄	224	C14.5(C2xC4^2)	448,218
C₁₄.₆(C₂×C₄²) = C₄×C₈⋊D₇	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₁₄	224	C14.6(C2xC4^2)	448,221
C₁₄.₇(C₂×C₄²) = D₁₄.C₄²	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₁₄	224	C14.7(C2xC4^2)	448,223
C₁₄.₈(C₂×C₄²) = D₇×C₈⋊C₄	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₁₄	224	C14.8(C2xC4^2)	448,238
C₁₄.₉(C₂×C₄²) = Dic₇.C₄²	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₁₄	224	C14.9(C2xC4^2)	448,241
C₁₄.₁₀(C₂×C₄²) = D₁₄.₄C₄²	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₁₄	224	C14.10(C2xC4^2)	448,242
C₁₄.₁₁(C₂×C₄²) = C₄×Dic₇⋊C₄	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₁₄	448	C14.11(C2xC4^2)	448,465
C₁₄.₁₂(C₂×C₄²) = C₄×D₁₄⋊C₄	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₁₄	224	C14.12(C2xC4^2)	448,472
C₁₄.₁₃(C₂×C₄²) = C₂×C₄×C₇⋊C₈	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₁₄	448	C14.13(C2xC4^2)	448,454
C₁₄.₁₄(C₂×C₄²) = C₂×C₄².D₇	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₁₄	448	C14.14(C2xC4^2)	448,455
C₁₄.₁₅(C₂×C₄²) = C₄×C₄.Dic₇	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₁₄	224	C14.15(C2xC4^2)	448,456
C₁₄.₁₆(C₂×C₄²) = C₄²×Dic₇	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₁₄	448	C14.16(C2xC4^2)	448,464
C₁₄.₁₇(C₂×C₄²) = C₄²⋊₄Dic₇	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₁₄	448	C14.17(C2xC4^2)	448,466
C₁₄.₁₈(C₂×C₄²) = C₄×C₄⋊Dic₇	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₁₄	448	C14.18(C2xC4^2)	448,468
C₁₄.₁₉(C₂×C₄²) = C₂²⋊C₄×Dic₇	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₁₄	224	C14.19(C2xC4^2)	448,475
C₁₄.₂₀(C₂×C₄²) = C₄⋊C₄×Dic₇	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₁₄	448	C14.20(C2xC4^2)	448,509
C₁₄.₂₁(C₂×C₄²) = C₂₈.₅C₄²	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₁₄	224	C14.21(C2xC4^2)	448,531
C₁₄.₂₂(C₂×C₄²) = C₂×C₈×Dic₇	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₁₄	448	C14.22(C2xC4^2)	448,632
C₁₄.₂₃(C₂×C₄²) = C₂×C₅₆⋊C₄	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₁₄	448	C14.23(C2xC4^2)	448,634
C₁₄.₂₄(C₂×C₄²) = C₂₈.₁₂C₄²	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₁₄	224	C14.24(C2xC4^2)	448,635
C₁₄.₂₅(C₂×C₄²) = M₄(2)×Dic₇	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₁₄	224	C14.25(C2xC4^2)	448,651
C₁₄.₂₆(C₂×C₄²) = C₂₈.₇C₄²	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₁₄	224	C14.26(C2xC4^2)	448,656
C₁₄.₂₇(C₂×C₄²) = C₂×C₁₄.C₄²	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₁₄	448	C14.27(C2xC4^2)	448,742
C₁₄.₂₈(C₂×C₄²) = C₄×C₂³.D₇	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₁₄	224	C14.28(C2xC4^2)	448,743
C₁₄.₂₉(C₂×C₄²) = C₁₄×C₂.C₄²	central extension (φ=1)	448	C14.29(C2xC4^2)	448,783
C₁₄.₃₀(C₂×C₄²) = C₇×C₄²⋊₄C₄	central extension (φ=1)	448	C14.30(C2xC4^2)	448,784
C₁₄.₃₁(C₂×C₄²) = C₂²⋊C₄×C₂₈	central extension (φ=1)	224	C14.31(C2xC4^2)	448,785
C₁₄.₃₂(C₂×C₄²) = C₄⋊C₄×C₂₈	central extension (φ=1)	448	C14.32(C2xC4^2)	448,786
C₁₄.₃₃(C₂×C₄²) = C₁₄×C₈⋊C₄	central extension (φ=1)	448	C14.33(C2xC4^2)	448,811
C₁₄.₃₄(C₂×C₄²) = M₄(2)×C₂₈	central extension (φ=1)	224	C14.34(C2xC4^2)	448,812
C₁₄.₃₅(C₂×C₄²) = C₇×C₈○₂M₄(2)	central extension (φ=1)	224	C14.35(C2xC4^2)	448,813

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Extensions 1→N→G→Q→1 with N=C14 and Q=C2×C42

Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₂×C₄²