Extensions 1→N→G→Q→1 with N=C₁₁₆ and Q=C₂²

Direct product G=N×Q with N=C₁₁₆ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₁₁₆		464		C2^2xC116	464,45

Semidirect products G=N:Q with N=C₁₁₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₁₆⋊C₂² = D₄×D₂₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₆	116	4+	C116:C2^2	464,39
C₁₁₆⋊₂C₂² = C₂×D₁₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₆	232		C116:2C2^2	464,37
C₁₁₆⋊₃C₂² = C₂×C₄×D₂₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₆	232		C116:3C2^2	464,36
C₁₁₆⋊₄C₂² = D₄×C₅₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₆	232		C116:4C2^2	464,46

Non-split extensions G=N.Q with N=C₁₁₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₁₆.₁C₂² = D₄⋊D₂₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₆	232	4+	C116.1C2^2	464,15
C₁₁₆.₂C₂² = D₄.D₂₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₆	232	4-	C116.2C2^2	464,16
C₁₁₆.₃C₂² = Q₈⋊D₂₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₆	232	4+	C116.3C2^2	464,17
C₁₁₆.₄C₂² = C₂₉⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₆	464	4-	C116.4C2^2	464,18
C₁₁₆.₅C₂² = D₄⋊₂D₂₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₆	232	4-	C116.5C2^2	464,40
C₁₁₆.₆C₂² = Q₈×D₂₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₆	232	4-	C116.6C2^2	464,41
C₁₁₆.₇C₂² = Q₈⋊₂D₂₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₆	232	4+	C116.7C2^2	464,42
C₁₁₆.₈C₂² = C₂₃₂⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₆	232	2	C116.8C2^2	464,6
C₁₁₆.₉C₂² = D₂₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₆	232	2+	C116.9C2^2	464,7
C₁₁₆.₁₀C₂² = Dic₁₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₆	464	2-	C116.10C2^2	464,8
C₁₁₆.₁₁C₂² = C₂×Dic₅₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₆	464		C116.11C2^2	464,35
C₁₁₆.₁₂C₂² = C₈×D₂₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₆	232	2	C116.12C2^2	464,4
C₁₁₆.₁₃C₂² = C₈⋊D₂₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₆	232	2	C116.13C2^2	464,5
C₁₁₆.₁₄C₂² = C₂×C₂₉⋊₂C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₆	464		C116.14C2^2	464,9
C₁₁₆.₁₅C₂² = C₄.Dic₂₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₆	232	2	C116.15C2^2	464,10
C₁₁₆.₁₆C₂² = D₁₁₆⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₆	232	2	C116.16C2^2	464,38
C₁₁₆.₁₇C₂² = D₈×C₂₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₆	232	2	C116.17C2^2	464,25
C₁₁₆.₁₈C₂² = SD₁₆×C₂₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₆	232	2	C116.18C2^2	464,26
C₁₁₆.₁₉C₂² = Q₁₆×C₂₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₆	464	2	C116.19C2^2	464,27
C₁₁₆.₂₀C₂² = Q₈×C₅₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₆	464		C116.20C2^2	464,47
C₁₁₆.₂₁C₂² = C₄○D₄×C₂₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₆	232	2	C116.21C2^2	464,48
C₁₁₆.₂₂C₂² = M₄(2)×C₂₉	central extension (φ=1)	232	2	C116.22C2^2	464,24

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Extensions 1→N→G→Q→1 with N=C116 and Q=C22

Extensions 1→N→G→Q→1 with N=C₁₁₆ and Q=C₂²