Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂³×C₁₄

Direct product G=N×Q with N=C₄ and Q=C₂³×C₁₄

		d	ρ	Label	ID
C₂⁴×C₂₈		448		C2^4xC28	448,1385

Semidirect products G=N:Q with N=C₄ and Q=C₂³×C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂³×C₁₄) = D₄×C₂²×C₁₄	φ: C₂³×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224		C4:(C2^3xC14)	448,1386

Non-split extensions G=N.Q with N=C₄ and Q=C₂³×C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂³×C₁₄) = D₈×C₂×C₁₄	φ: C₂³×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224		C4.1(C2^3xC14)	448,1352
C₄.₂(C₂³×C₁₄) = SD₁₆×C₂×C₁₄	φ: C₂³×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224		C4.2(C2^3xC14)	448,1353
C₄.₃(C₂³×C₁₄) = Q₁₆×C₂×C₁₄	φ: C₂³×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	448		C4.3(C2^3xC14)	448,1354
C₄.₄(C₂³×C₁₄) = C₁₄×C₄○D₈	φ: C₂³×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224		C4.4(C2^3xC14)	448,1355
C₄.₅(C₂³×C₁₄) = C₁₄×C₈⋊C₂²	φ: C₂³×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	112		C4.5(C2^3xC14)	448,1356
C₄.₆(C₂³×C₁₄) = C₁₄×C₈.C₂²	φ: C₂³×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224		C4.6(C2^3xC14)	448,1357
C₄.₇(C₂³×C₁₄) = C₇×D₈⋊C₂²	φ: C₂³×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	112	4	C4.7(C2^3xC14)	448,1358
C₄.₈(C₂³×C₁₄) = C₇×D₄○D₈	φ: C₂³×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	112	4	C4.8(C2^3xC14)	448,1359
C₄.₉(C₂³×C₁₄) = C₇×D₄○SD₁₆	φ: C₂³×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	112	4	C4.9(C2^3xC14)	448,1360
C₄.₁₀(C₂³×C₁₄) = C₇×Q₈○D₈	φ: C₂³×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224	4	C4.10(C2^3xC14)	448,1361
C₄.₁₁(C₂³×C₁₄) = Q₈×C₂²×C₁₄	φ: C₂³×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	448		C4.11(C2^3xC14)	448,1387
C₄.₁₂(C₂³×C₁₄) = C₄○D₄×C₂×C₁₄	φ: C₂³×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224		C4.12(C2^3xC14)	448,1388
C₄.₁₃(C₂³×C₁₄) = C₁₄×2₊¹⁺⁴	φ: C₂³×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	112		C4.13(C2^3xC14)	448,1389
C₄.₁₄(C₂³×C₁₄) = C₁₄×2_-¹⁺⁴	φ: C₂³×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224		C4.14(C2^3xC14)	448,1390
C₄.₁₅(C₂³×C₁₄) = C₇×C₂.C₂⁵	φ: C₂³×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	112	4	C4.15(C2^3xC14)	448,1391
C₄.₁₆(C₂³×C₁₄) = M₄(2)×C₂×C₁₄	central extension (φ=1)	224		C4.16(C2^3xC14)	448,1349
C₄.₁₇(C₂³×C₁₄) = C₁₄×C₈○D₄	central extension (φ=1)	224		C4.17(C2^3xC14)	448,1350
C₄.₁₈(C₂³×C₁₄) = C₇×Q₈○M₄(2)	central extension (φ=1)	112	4	C4.18(C2^3xC14)	448,1351

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