Extensions 1→N→G→Q→1 with N=C₄ and Q=C₄×D₁₃

Direct product G=N×Q with N=C₄ and Q=C₄×D₁₃

		d	ρ	Label	ID
C₄²×D₁₃		208		C4^2xD13	416,92

Semidirect products G=N:Q with N=C₄ and Q=C₄×D₁₃

extension	φ:Q→Aut N	d	Label	ID
C₄⋊₁(C₄×D₁₃) = D₅₂⋊₈C₄	φ: C₄×D₁₃/Dic₁₃ → C₂ ⊆ Aut C₄	208	C4:1(C4xD13)	416,114
C₄⋊₂(C₄×D₁₃) = C₄×D₅₂	φ: C₄×D₁₃/C₅₂ → C₂ ⊆ Aut C₄	208	C4:2(C4xD13)	416,94
C₄⋊₃(C₄×D₁₃) = C₄⋊C₄×D₁₃	φ: C₄×D₁₃/D₂₆ → C₂ ⊆ Aut C₄	208	C4:3(C4xD13)	416,112

Non-split extensions G=N.Q with N=C₄ and Q=C₄×D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₄×D₁₃) = D₅₂⋊₆C₄	φ: C₄×D₁₃/Dic₁₃ → C₂ ⊆ Aut C₄	208		C4.1(C4xD13)	416,16
C₄.₂(C₄×D₁₃) = C₂₆.Q₁₆	φ: C₄×D₁₃/Dic₁₃ → C₂ ⊆ Aut C₄	416		C4.2(C4xD13)	416,17
C₄.₃(C₄×D₁₃) = D₅₂⋊₇C₄	φ: C₄×D₁₃/Dic₁₃ → C₂ ⊆ Aut C₄	104	4	C4.3(C4xD13)	416,32
C₄.₄(C₄×D₁₃) = Dic₁₃⋊₃Q₈	φ: C₄×D₁₃/Dic₁₃ → C₂ ⊆ Aut C₄	416		C4.4(C4xD13)	416,108
C₄.₅(C₄×D₁₃) = D₅₂.₂C₄	φ: C₄×D₁₃/Dic₁₃ → C₂ ⊆ Aut C₄	208	4	C4.5(C4xD13)	416,128
C₄.₆(C₄×D₁₃) = D₅₂⋊₄C₄	φ: C₄×D₁₃/C₅₂ → C₂ ⊆ Aut C₄	104	2	C4.6(C4xD13)	416,12
C₄.₇(C₄×D₁₃) = C₅₂.₄₄D₄	φ: C₄×D₁₃/C₅₂ → C₂ ⊆ Aut C₄	416		C4.7(C4xD13)	416,23
C₄.₈(C₄×D₁₃) = D₅₂⋊₅C₄	φ: C₄×D₁₃/C₅₂ → C₂ ⊆ Aut C₄	208		C4.8(C4xD13)	416,28
C₄.₉(C₄×D₁₃) = C₄×Dic₂₆	φ: C₄×D₁₃/C₅₂ → C₂ ⊆ Aut C₄	416		C4.9(C4xD13)	416,89
C₄.₁₀(C₄×D₁₃) = D₅₂.₃C₄	φ: C₄×D₁₃/C₅₂ → C₂ ⊆ Aut C₄	208	2	C4.10(C4xD13)	416,122
C₄.₁₁(C₄×D₁₃) = C₂₆.D₈	φ: C₄×D₁₃/D₂₆ → C₂ ⊆ Aut C₄	416		C4.11(C4xD13)	416,14
C₄.₁₂(C₄×D₁₃) = C₅₂.Q₈	φ: C₄×D₁₃/D₂₆ → C₂ ⊆ Aut C₄	416		C4.12(C4xD13)	416,15
C₄.₁₃(C₄×D₁₃) = C₅₂.₅₃D₄	φ: C₄×D₁₃/D₂₆ → C₂ ⊆ Aut C₄	208	4	C4.13(C4xD13)	416,29
C₄.₁₄(C₄×D₁₃) = C₄⋊C₄⋊₇D₁₃	φ: C₄×D₁₃/D₂₆ → C₂ ⊆ Aut C₄	208		C4.14(C4xD13)	416,113
C₄.₁₅(C₄×D₁₃) = M₄(2)×D₁₃	φ: C₄×D₁₃/D₂₆ → C₂ ⊆ Aut C₄	104	4	C4.15(C4xD13)	416,127
C₄.₁₆(C₄×D₁₃) = C₁₆×D₁₃	central extension (φ=1)	208	2	C4.16(C4xD13)	416,4
C₄.₁₇(C₄×D₁₃) = C₂₀₈⋊C₂	central extension (φ=1)	208	2	C4.17(C4xD13)	416,5
C₄.₁₈(C₄×D₁₃) = C₄×C₁₃⋊₂C₈	central extension (φ=1)	416		C4.18(C4xD13)	416,9
C₄.₁₉(C₄×D₁₃) = C₂₆.₇C₄²	central extension (φ=1)	416		C4.19(C4xD13)	416,10
C₄.₂₀(C₄×D₁₃) = C₈×Dic₁₃	central extension (φ=1)	416		C4.20(C4xD13)	416,20
C₄.₂₁(C₄×D₁₃) = C₁₀₄⋊₈C₄	central extension (φ=1)	416		C4.21(C4xD13)	416,22
C₄.₂₂(C₄×D₁₃) = C₄²⋊D₁₃	central extension (φ=1)	208		C4.22(C4xD13)	416,93
C₄.₂₃(C₄×D₁₃) = C₂×C₈×D₁₃	central extension (φ=1)	208		C4.23(C4xD13)	416,120
C₄.₂₄(C₄×D₁₃) = C₂×C₈⋊D₁₃	central extension (φ=1)	208		C4.24(C4xD13)	416,121

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Extensions 1→N→G→Q→1 with N=C4 and Q=C4×D13

Extensions 1→N→G→Q→1 with N=C₄ and Q=C₄×D₁₃