Extensions 1→N→G→Q→1 with N=C₁₀₀ and Q=C₄

Direct product G=N×Q with N=C₁₀₀ and Q=C₄

		d	ρ	Label	ID
C₄×C₁₀₀		400		C4xC100	400,20

Semidirect products G=N:Q with N=C₁₀₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀₀⋊₁C₄ = C₁₀₀⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₁₀₀	100	4	C100:1C4	400,31
C₁₀₀⋊₂C₄ = C₄×C₂₅⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₁₀₀	100	4	C100:2C4	400,30
C₁₀₀⋊₃C₄ = C₄⋊Dic₂₅	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₀	400		C100:3C4	400,13
C₁₀₀⋊₄C₄ = C₄×Dic₂₅	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₀	400		C100:4C4	400,11
C₁₀₀⋊₅C₄ = C₄⋊C₄×C₂₅	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₀	400		C100:5C4	400,22

Non-split extensions G=N.Q with N=C₁₀₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀₀.₁C₄ = C₁₀₀.C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₁₀₀	200	4	C100.1C4	400,29
C₁₀₀.₂C₄ = C₂₅⋊C₁₆	φ: C₄/C₁ → C₄ ⊆ Aut C₁₀₀	400	4	C100.2C4	400,3
C₁₀₀.₃C₄ = D₂₅⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₁₀₀	200	4	C100.3C4	400,28
C₁₀₀.₄C₄ = C₄.Dic₂₅	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₀	200	2	C100.4C4	400,10
C₁₀₀.₅C₄ = C₂₅⋊₂C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₀	400	2	C100.5C4	400,1
C₁₀₀.₆C₄ = C₂×C₂₅⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₀	400		C100.6C4	400,9
C₁₀₀.₇C₄ = M₄(2)×C₂₅	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₀	200	2	C100.7C4	400,24

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