Extensions 1→N→G→Q→1 with N=C₁₁₆ and Q=C₄

Direct product G=N×Q with N=C₁₁₆ and Q=C₄

		d	ρ	Label	ID
C₄×C₁₁₆		464		C4xC116	464,20

Semidirect products G=N:Q with N=C₁₁₆ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₁₆⋊₁C₄ = C₁₁₆⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₁₁₆	116	4	C116:1C4	464,31
C₁₁₆⋊₂C₄ = C₄×C₂₉⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₁₁₆	116	4	C116:2C4	464,30
C₁₁₆⋊₃C₄ = C₄⋊Dic₂₉	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₆	464		C116:3C4	464,13
C₁₁₆⋊₄C₄ = C₄×Dic₂₉	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₆	464		C116:4C4	464,11
C₁₁₆⋊₅C₄ = C₄⋊C₄×C₂₉	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₆	464		C116:5C4	464,22

Non-split extensions G=N.Q with N=C₁₁₆ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₁₆.₁C₄ = C₁₁₆.C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₁₁₆	232	4	C116.1C4	464,29
C₁₁₆.₂C₄ = C₂₉⋊C₁₆	φ: C₄/C₁ → C₄ ⊆ Aut C₁₁₆	464	4	C116.2C4	464,3
C₁₁₆.₃C₄ = D₂₉⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₁₁₆	232	4	C116.3C4	464,28
C₁₁₆.₄C₄ = C₄.Dic₂₉	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₆	232	2	C116.4C4	464,10
C₁₁₆.₅C₄ = C₂₉⋊₂C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₆	464	2	C116.5C4	464,1
C₁₁₆.₆C₄ = C₂×C₂₉⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₆	464		C116.6C4	464,9
C₁₁₆.₇C₄ = M₄(2)×C₂₉	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₆	232	2	C116.7C4	464,24

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