Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₈○D₄

Direct product G=N×Q with N=C₁₄ and Q=C₈○D₄

		d	ρ	Label	ID
C₁₄×C₈○D₄		224		C14xC8oD4	448,1350

Semidirect products G=N:Q with N=C₁₄ and Q=C₈○D₄

extension	φ:Q→Aut N	d	Label	ID
C₁₄⋊₁(C₈○D₄) = C₂×D₂₈.₂C₄	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14:1(C8oD4)	448,1191
C₁₄⋊₂(C₈○D₄) = C₂×D₂₈.C₄	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14:2(C8oD4)	448,1197
C₁₄⋊₃(C₈○D₄) = C₂×Q₈.Dic₇	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14:3(C8oD4)	448,1271

Non-split extensions G=N.Q with N=C₁₄ and Q=C₈○D₄

extension	φ:Q→Aut N	d	Label	ID
C₁₄.₁(C₈○D₄) = C₈×Dic₁₄	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	448	C14.1(C8oD4)	448,212
C₁₄.₂(C₈○D₄) = C₅₆⋊₁₁Q₈	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	448	C14.2(C8oD4)	448,213
C₁₄.₃(C₈○D₄) = C₈×D₂₈	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.3(C8oD4)	448,220
C₁₄.₄(C₈○D₄) = C₈⋊₆D₂₈	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.4(C8oD4)	448,222
C₁₄.₅(C₈○D₄) = D₁₄.C₄²	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.5(C8oD4)	448,223
C₁₄.₆(C₈○D₄) = C₄².₂₄₃D₁₄	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.6(C8oD4)	448,224
C₁₄.₇(C₈○D₄) = C₅₆⋊C₄⋊C₂	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.7(C8oD4)	448,254
C₁₄.₈(C₈○D₄) = D₁₄⋊C₈⋊C₂	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.8(C8oD4)	448,261
C₁₄.₉(C₈○D₄) = D₁₄⋊₂M₄(2)	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.9(C8oD4)	448,262
C₁₄.₁₀(C₈○D₄) = Dic₇⋊M₄(2)	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.10(C8oD4)	448,263
C₁₄.₁₁(C₈○D₄) = C₄².₂₇D₁₄	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	448	C14.11(C8oD4)	448,362
C₁₄.₁₂(C₈○D₄) = D₁₄⋊₃M₄(2)	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.12(C8oD4)	448,370
C₁₄.₁₃(C₈○D₄) = C₄².₃₀D₁₄	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.13(C8oD4)	448,373
C₁₄.₁₄(C₈○D₄) = C₄².₃₁D₁₄	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.14(C8oD4)	448,374
C₁₄.₁₅(C₈○D₄) = C₂₈.₁₂C₄²	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.15(C8oD4)	448,635
C₁₄.₁₆(C₈○D₄) = Dic₇⋊C₈⋊C₂	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.16(C8oD4)	448,636
C₁₄.₁₇(C₈○D₄) = C₈×C₇⋊D₄	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.17(C8oD4)	448,643
C₁₄.₁₈(C₈○D₄) = (C₂²×C₈)⋊D₇	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.18(C8oD4)	448,644
C₁₄.₁₉(C₈○D₄) = C₅₆⋊₃₂D₄	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.19(C8oD4)	448,645
C₁₄.₂₀(C₈○D₄) = C₅₆⋊Q₈	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₁₄	448	C14.20(C8oD4)	448,235
C₁₄.₂₁(C₈○D₄) = C₈⋊₉D₂₈	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.21(C8oD4)	448,240
C₁₄.₂₂(C₈○D₄) = D₁₄.₄C₄²	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.22(C8oD4)	448,242
C₁₄.₂₃(C₈○D₄) = C₄².₁₈₅D₁₄	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.23(C8oD4)	448,243
C₁₄.₂₄(C₈○D₄) = C₇⋊D₄⋊C₈	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.24(C8oD4)	448,259
C₁₄.₂₅(C₈○D₄) = C₇⋊C₈⋊₂₆D₄	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.25(C8oD4)	448,264
C₁₄.₂₆(C₈○D₄) = Dic₁₄⋊C₈	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₁₄	448	C14.26(C8oD4)	448,364
C₁₄.₂₇(C₈○D₄) = C₂₈.M₄(2)	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₁₄	448	C14.27(C8oD4)	448,365
C₁₄.₂₈(C₈○D₄) = D₂₈⋊C₈	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.28(C8oD4)	448,368
C₁₄.₂₉(C₈○D₄) = C₂₈⋊₂M₄(2)	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.29(C8oD4)	448,372
C₁₄.₃₀(C₈○D₄) = C₂₈.₄₃₉(C₂×D₄)	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.30(C8oD4)	448,653
C₁₄.₃₁(C₈○D₄) = C₂₈.₇C₄²	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.31(C8oD4)	448,656
C₁₄.₃₂(C₈○D₄) = C₅₆⋊D₄	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.32(C8oD4)	448,661
C₁₄.₃₃(C₈○D₄) = C₅₆⋊₁₈D₄	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.33(C8oD4)	448,662
C₁₄.₃₄(C₈○D₄) = (C₂×D₂₈).₁₄C₄	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.34(C8oD4)	448,663
C₁₄.₃₅(C₈○D₄) = C₂₈.₅C₄²	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.35(C8oD4)	448,531
C₁₄.₃₆(C₈○D₄) = C₄².₄₃D₁₄	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.36(C8oD4)	448,533
C₁₄.₃₇(C₈○D₄) = C₄².₁₈₇D₁₄	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.37(C8oD4)	448,534
C₁₄.₃₈(C₈○D₄) = D₄×C₇⋊C₈	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.38(C8oD4)	448,544
C₁₄.₃₉(C₈○D₄) = C₄².₄₇D₁₄	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.39(C8oD4)	448,545
C₁₄.₄₀(C₈○D₄) = C₂₈⋊₃M₄(2)	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.40(C8oD4)	448,546
C₁₄.₄₁(C₈○D₄) = Q₈×C₇⋊C₈	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₁₄	448	C14.41(C8oD4)	448,557
C₁₄.₄₂(C₈○D₄) = C₄².₂₁₀D₁₄	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₁₄	448	C14.42(C8oD4)	448,558
C₁₄.₄₃(C₈○D₄) = (D₄×C₁₄).₁₁C₄	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.43(C8oD4)	448,768
C₁₄.₄₄(C₈○D₄) = C₇×C₈○₂M₄(2)	central extension (φ=1)	224	C14.44(C8oD4)	448,813
C₁₄.₄₅(C₈○D₄) = C₇×(C₂²×C₈)⋊C₂	central extension (φ=1)	224	C14.45(C8oD4)	448,816
C₁₄.₄₆(C₈○D₄) = C₇×C₄².₆C₂²	central extension (φ=1)	224	C14.46(C8oD4)	448,832
C₁₄.₄₇(C₈○D₄) = C₇×C₄².₇C₂²	central extension (φ=1)	224	C14.47(C8oD4)	448,841
C₁₄.₄₈(C₈○D₄) = D₄×C₅₆	central extension (φ=1)	224	C14.48(C8oD4)	448,842
C₁₄.₄₉(C₈○D₄) = C₇×C₈⋊₉D₄	central extension (φ=1)	224	C14.49(C8oD4)	448,843
C₁₄.₅₀(C₈○D₄) = C₇×C₈⋊₆D₄	central extension (φ=1)	224	C14.50(C8oD4)	448,844
C₁₄.₅₁(C₈○D₄) = Q₈×C₅₆	central extension (φ=1)	448	C14.51(C8oD4)	448,853
C₁₄.₅₂(C₈○D₄) = C₇×C₈⋊₄Q₈	central extension (φ=1)	448	C14.52(C8oD4)	448,854

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Extensions 1→N→G→Q→1 with N=C14 and Q=C8○D4

Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₈○D₄