Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₂×M₄(2)

Direct product G=N×Q with N=C₁₄ and Q=C₂×M₄(2)

		d	ρ	Label	ID
M₄(2)×C₂×C₁₄		224		M4(2)xC2xC14	448,1349

Semidirect products G=N:Q with N=C₁₄ and Q=C₂×M₄(2)

extension	φ:Q→Aut N	d	Label	ID
C₁₄⋊₁(C₂×M₄(2)) = C₂²×C₈⋊D₇	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14:1(C2xM4(2))	448,1190
C₁₄⋊₂(C₂×M₄(2)) = C₂×D₇×M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₁₄	112	C14:2(C2xM4(2))	448,1196
C₁₄⋊₃(C₂×M₄(2)) = C₂²×C₄.Dic₇	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₁₄	224	C14:3(C2xM4(2))	448,1234

Non-split extensions G=N.Q with N=C₁₄ and Q=C₂×M₄(2)

extension	φ:Q→Aut N	d	Label	ID
C₁₄.₁(C₂×M₄(2)) = C₅₆⋊₁₁Q₈	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₁₄	448	C14.1(C2xM4(2))	448,213
C₁₄.₂(C₂×M₄(2)) = C₄².₂₈₂D₁₄	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.2(C2xM4(2))	448,219
C₁₄.₃(C₂×M₄(2)) = C₄×C₈⋊D₇	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.3(C2xM4(2))	448,221
C₁₄.₄(C₂×M₄(2)) = C₈⋊₆D₂₈	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.4(C2xM4(2))	448,222
C₁₄.₅(C₂×M₄(2)) = D₁₄⋊M₄(2)	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₁₄	112	C14.5(C2xM4(2))	448,260
C₁₄.₆(C₂×M₄(2)) = C₇⋊C₈⋊₂₆D₄	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.6(C2xM4(2))	448,264
C₁₄.₇(C₂×M₄(2)) = C₂₈.M₄(2)	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₁₄	448	C14.7(C2xM4(2))	448,365
C₁₄.₈(C₂×M₄(2)) = C₂₈⋊M₄(2)	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.8(C2xM4(2))	448,371
C₁₄.₉(C₂×M₄(2)) = C₂₈⋊₂M₄(2)	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.9(C2xM4(2))	448,372
C₁₄.₁₀(C₂×M₄(2)) = C₂×Dic₇⋊C₈	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₁₄	448	C14.10(C2xM4(2))	448,633
C₁₄.₁₁(C₂×M₄(2)) = C₂×C₅₆⋊C₄	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₁₄	448	C14.11(C2xM4(2))	448,634
C₁₄.₁₂(C₂×M₄(2)) = C₂×D₁₄⋊C₈	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.12(C2xM4(2))	448,642
C₁₄.₁₃(C₂×M₄(2)) = C₅₆⋊₃₂D₄	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.13(C2xM4(2))	448,645
C₁₄.₁₄(C₂×M₄(2)) = C₅₆⋊Q₈	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₁₄	448	C14.14(C2xM4(2))	448,235
C₁₄.₁₅(C₂×M₄(2)) = D₇×C₈⋊C₄	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.15(C2xM4(2))	448,238
C₁₄.₁₆(C₂×M₄(2)) = C₄².₁₈₂D₁₄	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.16(C2xM4(2))	448,239
C₁₄.₁₇(C₂×M₄(2)) = C₈⋊₉D₂₈	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.17(C2xM4(2))	448,240
C₁₄.₁₈(C₂×M₄(2)) = Dic₇.C₄²	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.18(C2xM4(2))	448,241
C₁₄.₁₉(C₂×M₄(2)) = Dic₇.₅M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.19(C2xM4(2))	448,252
C₁₄.₂₀(C₂×M₄(2)) = Dic₇.M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.20(C2xM4(2))	448,253
C₁₄.₂₁(C₂×M₄(2)) = D₇×C₂²⋊C₈	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₁₄	112	C14.21(C2xM4(2))	448,258
C₁₄.₂₂(C₂×M₄(2)) = D₁₄⋊₂M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.22(C2xM4(2))	448,262
C₁₄.₂₃(C₂×M₄(2)) = Dic₇⋊M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.23(C2xM4(2))	448,263
C₁₄.₂₄(C₂×M₄(2)) = C₄².₂₇D₁₄	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₁₄	448	C14.24(C2xM4(2))	448,362
C₁₄.₂₅(C₂×M₄(2)) = D₇×C₄⋊C₈	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.25(C2xM4(2))	448,366
C₁₄.₂₆(C₂×M₄(2)) = C₄².₂₀₀D₁₄	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.26(C2xM4(2))	448,367
C₁₄.₂₇(C₂×M₄(2)) = C₄².₂₀₂D₁₄	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.27(C2xM4(2))	448,369
C₁₄.₂₈(C₂×M₄(2)) = D₁₄⋊₃M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.28(C2xM4(2))	448,370
C₁₄.₂₉(C₂×M₄(2)) = M₄(2)×Dic₇	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.29(C2xM4(2))	448,651
C₁₄.₃₀(C₂×M₄(2)) = Dic₇⋊₄M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.30(C2xM4(2))	448,652
C₁₄.₃₁(C₂×M₄(2)) = D₁₄⋊₆M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₁₄	112	C14.31(C2xM4(2))	448,660
C₁₄.₃₂(C₂×M₄(2)) = C₅₆⋊D₄	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.32(C2xM4(2))	448,661
C₁₄.₃₃(C₂×M₄(2)) = C₅₆⋊₁₈D₄	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.33(C2xM4(2))	448,662
C₁₄.₃₄(C₂×M₄(2)) = C₂×C₄².D₇	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₁₄	448	C14.34(C2xM4(2))	448,455
C₁₄.₃₅(C₂×M₄(2)) = C₄×C₄.Dic₇	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₁₄	224	C14.35(C2xM4(2))	448,456
C₁₄.₃₆(C₂×M₄(2)) = C₂×C₂₈⋊C₈	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₁₄	448	C14.36(C2xM4(2))	448,457
C₁₄.₃₇(C₂×M₄(2)) = C₂₈⋊₇M₄(2)	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₁₄	224	C14.37(C2xM4(2))	448,458
C₁₄.₃₈(C₂×M₄(2)) = C₄².₆Dic₇	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₁₄	224	C14.38(C2xM4(2))	448,459
C₁₄.₃₉(C₂×M₄(2)) = C₄².₇Dic₇	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₁₄	224	C14.39(C2xM4(2))	448,460
C₁₄.₄₀(C₂×M₄(2)) = C₄².₄₇D₁₄	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₁₄	224	C14.40(C2xM4(2))	448,545
C₁₄.₄₁(C₂×M₄(2)) = C₂₈⋊₃M₄(2)	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₁₄	224	C14.41(C2xM4(2))	448,546
C₁₄.₄₂(C₂×M₄(2)) = C₄².₂₁₀D₁₄	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₁₄	448	C14.42(C2xM4(2))	448,558
C₁₄.₄₃(C₂×M₄(2)) = C₂×C₂₈.₅₅D₄	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₁₄	224	C14.43(C2xM4(2))	448,740
C₁₄.₄₄(C₂×M₄(2)) = C₂⁴.₄Dic₇	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₁₄	112	C14.44(C2xM4(2))	448,741
C₁₄.₄₅(C₂×M₄(2)) = C₁₄×C₈⋊C₄	central extension (φ=1)	448	C14.45(C2xM4(2))	448,811
C₁₄.₄₆(C₂×M₄(2)) = M₄(2)×C₂₈	central extension (φ=1)	224	C14.46(C2xM4(2))	448,812
C₁₄.₄₇(C₂×M₄(2)) = C₁₄×C₂²⋊C₈	central extension (φ=1)	224	C14.47(C2xM4(2))	448,814
C₁₄.₄₈(C₂×M₄(2)) = C₇×C₂⁴.₄C₄	central extension (φ=1)	112	C14.48(C2xM4(2))	448,815
C₁₄.₄₉(C₂×M₄(2)) = C₁₄×C₄⋊C₈	central extension (φ=1)	448	C14.49(C2xM4(2))	448,830
C₁₄.₅₀(C₂×M₄(2)) = C₇×C₄⋊M₄(2)	central extension (φ=1)	224	C14.50(C2xM4(2))	448,831
C₁₄.₅₁(C₂×M₄(2)) = C₇×C₄².₁₂C₄	central extension (φ=1)	224	C14.51(C2xM4(2))	448,839
C₁₄.₅₂(C₂×M₄(2)) = C₇×C₄².₆C₄	central extension (φ=1)	224	C14.52(C2xM4(2))	448,840
C₁₄.₅₃(C₂×M₄(2)) = C₇×C₈⋊₉D₄	central extension (φ=1)	224	C14.53(C2xM4(2))	448,843
C₁₄.₅₄(C₂×M₄(2)) = C₇×C₈⋊₆D₄	central extension (φ=1)	224	C14.54(C2xM4(2))	448,844
C₁₄.₅₅(C₂×M₄(2)) = C₇×C₈⋊₄Q₈	central extension (φ=1)	448	C14.55(C2xM4(2))	448,854

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Extensions 1→N→G→Q→1 with N=C14 and Q=C2×M4(2)

Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₂×M₄(2)