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

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

		d	ρ	Label	ID
C₂xC₂₀₄		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 = C₂xC₅₁:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₁₀₂	102	4	C102:1C4	408,40
C₁₀₂:₂C₄ = C₆xC₁₇:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₁₀₂	102	4	C102:2C4	408,39
C₁₀₂:₃C₄ = C₂xDic₅₁	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₂	408		C102:3C4	408,28
C₁₀₂:₄C₄ = C₆xDic₁₇	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₂	408		C102:4C4	408,18
C₁₀₂:₅C₄ = Dic₃xC₃₄	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 = C₃xC₁₇:₂C₈	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 = C₃xC₁₇:₃C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₂	408	2	C102.4C4	408,2
C₁₀₂.₅C₄ = C₁₇xC₃:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₂	408	2	C102.5C4	408,1

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