Extensions 1→N→G→Q→1 with N=C₁₀₂ and Q=C₄

Direct product G=N×Q with N=C₁₀₂ and Q=C₄

		d	ρ	Label	ID
C₂×C₂₀₄		408		C2xC204	408,30

Semidirect products G=N:Q with N=C₁₀₂ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀₂⋊₁C₄ = C₂×C₅₁⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₁₀₂	102	4	C102:1C4	408,40
C₁₀₂⋊₂C₄ = C₆×C₁₇⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₁₀₂	102	4	C102:2C4	408,39
C₁₀₂⋊₃C₄ = C₂×Dic₅₁	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₂	408		C102:3C4	408,28
C₁₀₂⋊₄C₄ = C₆×Dic₁₇	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₂	408		C102:4C4	408,18
C₁₀₂⋊₅C₄ = Dic₃×C₃₄	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₂	408		C102:5C4	408,23

Non-split extensions G=N.Q with N=C₁₀₂ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀₂.₁C₄ = C₅₁⋊₃C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₁₀₂	408	4	C102.1C4	408,6
C₁₀₂.₂C₄ = C₃×C₁₇⋊₂C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₁₀₂	408	4	C102.2C4	408,5
C₁₀₂.₃C₄ = C₅₁⋊₅C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₂	408	2	C102.3C4	408,3
C₁₀₂.₄C₄ = C₃×C₁₇⋊₃C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₂	408	2	C102.4C4	408,2
C₁₀₂.₅C₄ = C₁₇×C₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₂	408	2	C102.5C4	408,1

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