Extensions 1→N→G→Q→1 with N=C₅₂⋊₃C₄ and Q=C₂

Direct product G=N×Q with N=C₅₂⋊₃C₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₅₂⋊₃C₄		416		C2xC52:3C4	416,146

Semidirect products G=N:Q with N=C₅₂⋊₃C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅₂⋊₃C₄⋊₁C₂ = D₅₂⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	208		C52:3C4:1C2	416,28
C₅₂⋊₃C₄⋊₂C₂ = C₂²⋊Dic₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	208		C52:3C4:2C2	416,99
C₅₂⋊₃C₄⋊₃C₂ = C₂³.D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	208		C52:3C4:3C2	416,100
C₅₂⋊₃C₄⋊₄C₂ = D₂₆.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	208		C52:3C4:4C2	416,104
C₅₂⋊₃C₄⋊₅C₂ = C₂².D₅₂	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	208		C52:3C4:5C2	416,107
C₅₂⋊₃C₄⋊₆C₂ = D₂₆⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	208		C52:3C4:6C2	416,118
C₅₂⋊₃C₄⋊₇C₂ = C₄⋊C₄⋊D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	208		C52:3C4:7C2	416,119
C₅₂⋊₃C₄⋊₈C₂ = C₅₂.₄₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	208		C52:3C4:8C2	416,145
C₅₂⋊₃C₄⋊₉C₂ = C₅₂⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	208		C52:3C4:9C2	416,151
C₅₂⋊₃C₄⋊₁₀C₂ = D₄⋊Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	208		C52:3C4:10C2	416,39
C₅₂⋊₃C₄⋊₁₁C₂ = C₄⋊C₄×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	208		C52:3C4:11C2	416,112
C₅₂⋊₃C₄⋊₁₂C₂ = C₄⋊C₄⋊₇D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	208		C52:3C4:12C2	416,113
C₅₂⋊₃C₄⋊₁₃C₂ = D₄×Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	208		C52:3C4:13C2	416,155
C₅₂⋊₃C₄⋊₁₄C₂ = C₅₂⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	208		C52:3C4:14C2	416,159
C₅₂⋊₃C₄⋊₁₅C₂ = D₂₆⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	208		C52:3C4:15C2	416,167
C₅₂⋊₃C₄⋊₁₆C₂ = C₄×D₅₂	φ: trivial image	208		C52:3C4:16C2	416,94
C₅₂⋊₃C₄⋊₁₇C₂ = C₂³.₂₁D₂₆	φ: trivial image	208		C52:3C4:17C2	416,147

Non-split extensions G=N.Q with N=C₅₂⋊₃C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅₂⋊₃C₄.₁C₂ = C₅₂.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	416		C52:3C4.1C2	416,23
C₅₂⋊₃C₄.₂C₂ = C₁₀₄⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	416		C52:3C4.2C2	416,24
C₅₂⋊₃C₄.₃C₂ = C₁₀₄⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	416		C52:3C4.3C2	416,25
C₅₂⋊₃C₄.₄C₂ = C₅₂⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	416		C52:3C4.4C2	416,90
C₅₂⋊₃C₄.₅C₂ = C₅₂.₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	416		C52:3C4.5C2	416,91
C₅₂⋊₃C₄.₆C₂ = Dic₁₃.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	416		C52:3C4.6C2	416,110
C₅₂⋊₃C₄.₇C₂ = C₄.Dic₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	416		C52:3C4.7C2	416,111
C₅₂⋊₃C₄.₈C₂ = C₂₆.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	416		C52:3C4.8C2	416,14
C₅₂⋊₃C₄.₉C₂ = C₅₂.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	416		C52:3C4.9C2	416,15
C₅₂⋊₃C₄.₁₀C₂ = Q₈⋊Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	416		C52:3C4.10C2	416,42
C₅₂⋊₃C₄.₁₁C₂ = C₅₂⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	416		C52:3C4.11C2	416,109
C₅₂⋊₃C₄.₁₂C₂ = Q₈×Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊₃C₄	416		C52:3C4.12C2	416,166
C₅₂⋊₃C₄.₁₃C₂ = C₄×Dic₂₆	φ: trivial image	416		C52:3C4.13C2	416,89

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