Extensions 1→N→G→Q→1 with N=C₂² and Q=Q₈×C₁₄

Direct product G=N×Q with N=C₂² and Q=Q₈×C₁₄

		d	ρ	Label	ID
Q₈×C₂²×C₁₄		448		Q8xC2^2xC14	448,1387

Semidirect products G=N:Q with N=C₂² and Q=Q₈×C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(Q₈×C₁₄) = C₁₄×C₂²⋊Q₈	φ: Q₈×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₂²	224		C2^2:1(Q8xC14)	448,1306
C₂²⋊₂(Q₈×C₁₄) = C₇×D₄×Q₈	φ: Q₈×C₁₄/C₇×Q₈ → C₂ ⊆ Aut C₂²	224		C2^2:2(Q8xC14)	448,1332

Non-split extensions G=N.Q with N=C₂² and Q=Q₈×C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(Q₈×C₁₄) = C₁₄×C₈.C₄	φ: Q₈×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₂²	224		C2^2.1(Q8xC14)	448,837
C₂².₂(Q₈×C₁₄) = C₇×M₄(2).C₄	φ: Q₈×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₂²	112	4	C2^2.2(Q8xC14)	448,838
C₂².₃(Q₈×C₁₄) = C₇×C₂³.₃₇C₂³	φ: Q₈×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₂²	224		C2^2.3(Q8xC14)	448,1316
C₂².₄(Q₈×C₁₄) = C₇×C₂³⋊₂Q₈	φ: Q₈×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₂²	112		C2^2.4(Q8xC14)	448,1326
C₂².₅(Q₈×C₁₄) = C₇×C₂³.₄₁C₂³	φ: Q₈×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₂²	224		C2^2.5(Q8xC14)	448,1327
C₂².₆(Q₈×C₁₄) = C₇×D₄⋊₃Q₈	φ: Q₈×C₁₄/C₇×Q₈ → C₂ ⊆ Aut C₂²	224		C2^2.6(Q8xC14)	448,1337
C₂².₇(Q₈×C₁₄) = C₁₄×C₂.C₄²	central extension (φ=1)	448		C2^2.7(Q8xC14)	448,783
C₂².₈(Q₈×C₁₄) = C₄⋊C₄×C₂₈	central extension (φ=1)	448		C2^2.8(Q8xC14)	448,786
C₂².₉(Q₈×C₁₄) = C₇×C₂³.₇Q₈	central extension (φ=1)	224		C2^2.9(Q8xC14)	448,788
C₂².₁₀(Q₈×C₁₄) = C₇×C₄²⋊₈C₄	central extension (φ=1)	448		C2^2.10(Q8xC14)	448,790
C₂².₁₁(Q₈×C₁₄) = C₇×C₄²⋊₉C₄	central extension (φ=1)	448		C2^2.11(Q8xC14)	448,792
C₂².₁₂(Q₈×C₁₄) = C₇×C₂³.₈Q₈	central extension (φ=1)	224		C2^2.12(Q8xC14)	448,793
C₂².₁₃(Q₈×C₁₄) = C₇×C₂³.₆₃C₂³	central extension (φ=1)	448		C2^2.13(Q8xC14)	448,795
C₂².₁₄(Q₈×C₁₄) = C₇×C₂³.₆₅C₂³	central extension (φ=1)	448		C2^2.14(Q8xC14)	448,797
C₂².₁₅(Q₈×C₁₄) = C₇×C₂³.₆₇C₂³	central extension (φ=1)	448		C2^2.15(Q8xC14)	448,799
C₂².₁₆(Q₈×C₁₄) = C₄⋊C₄×C₂×C₁₄	central extension (φ=1)	448		C2^2.16(Q8xC14)	448,1296
C₂².₁₇(Q₈×C₁₄) = Q₈×C₂×C₂₈	central extension (φ=1)	448		C2^2.17(Q8xC14)	448,1299
C₂².₁₈(Q₈×C₁₄) = C₁₄×C₄².C₂	central extension (φ=1)	448		C2^2.18(Q8xC14)	448,1310
C₂².₁₉(Q₈×C₁₄) = C₁₄×C₄⋊Q₈	central extension (φ=1)	448		C2^2.19(Q8xC14)	448,1314
C₂².₂₀(Q₈×C₁₄) = C₇×C₂³⋊Q₈	central stem extension (φ=1)	224		C2^2.20(Q8xC14)	448,801
C₂².₂₁(Q₈×C₁₄) = C₇×C₂³.₇₈C₂³	central stem extension (φ=1)	448		C2^2.21(Q8xC14)	448,803
C₂².₂₂(Q₈×C₁₄) = C₇×C₂³.Q₈	central stem extension (φ=1)	224		C2^2.22(Q8xC14)	448,804
C₂².₂₃(Q₈×C₁₄) = C₇×C₂³.₈₁C₂³	central stem extension (φ=1)	448		C2^2.23(Q8xC14)	448,806
C₂².₂₄(Q₈×C₁₄) = C₇×C₂³.₄Q₈	central stem extension (φ=1)	224		C2^2.24(Q8xC14)	448,807
C₂².₂₅(Q₈×C₁₄) = C₇×C₂³.₈₃C₂³	central stem extension (φ=1)	448		C2^2.25(Q8xC14)	448,808

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Extensions 1→N→G→Q→1 with N=C22 and Q=Q8×C14

Extensions 1→N→G→Q→1 with N=C₂² and Q=Q₈×C₁₄