Extensions 1→N→G→Q→1 with N=C₄ and Q=D₆₂

Direct product G=N×Q with N=C₄ and Q=D₆₂

		d	ρ	Label	ID
C₂×C₄×D₃₁		248		C2xC4xD31	496,28

Semidirect products G=N:Q with N=C₄ and Q=D₆₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁D₆₂ = D₄×D₃₁	φ: D₆₂/D₃₁ → C₂ ⊆ Aut C₄	124	4+	C4:1D62	496,31
C₄⋊₂D₆₂ = C₂×D₁₂₄	φ: D₆₂/C₆₂ → C₂ ⊆ Aut C₄	248		C4:2D62	496,29

Non-split extensions G=N.Q with N=C₄ and Q=D₆₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁D₆₂ = D₄⋊D₃₁	φ: D₆₂/D₃₁ → C₂ ⊆ Aut C₄	248	4+	C4.1D62	496,14
C₄.₂D₆₂ = D₄.D₃₁	φ: D₆₂/D₃₁ → C₂ ⊆ Aut C₄	248	4-	C4.2D62	496,15
C₄.₃D₆₂ = Q₈⋊D₃₁	φ: D₆₂/D₃₁ → C₂ ⊆ Aut C₄	248	4+	C4.3D62	496,16
C₄.₄D₆₂ = C₃₁⋊Q₁₆	φ: D₆₂/D₃₁ → C₂ ⊆ Aut C₄	496	4-	C4.4D62	496,17
C₄.₅D₆₂ = D₄⋊₂D₃₁	φ: D₆₂/D₃₁ → C₂ ⊆ Aut C₄	248	4-	C4.5D62	496,32
C₄.₆D₆₂ = Q₈×D₃₁	φ: D₆₂/D₃₁ → C₂ ⊆ Aut C₄	248	4-	C4.6D62	496,33
C₄.₇D₆₂ = Q₈⋊₂D₃₁	φ: D₆₂/D₃₁ → C₂ ⊆ Aut C₄	248	4+	C4.7D62	496,34
C₄.₈D₆₂ = C₂₄₈⋊C₂	φ: D₆₂/C₆₂ → C₂ ⊆ Aut C₄	248	2	C4.8D62	496,5
C₄.₉D₆₂ = D₂₄₈	φ: D₆₂/C₆₂ → C₂ ⊆ Aut C₄	248	2+	C4.9D62	496,6
C₄.₁₀D₆₂ = Dic₁₂₄	φ: D₆₂/C₆₂ → C₂ ⊆ Aut C₄	496	2-	C4.10D62	496,7
C₄.₁₁D₆₂ = C₂×Dic₆₂	φ: D₆₂/C₆₂ → C₂ ⊆ Aut C₄	496		C4.11D62	496,27
C₄.₁₂D₆₂ = C₈×D₃₁	central extension (φ=1)	248	2	C4.12D62	496,3
C₄.₁₃D₆₂ = C₈⋊D₃₁	central extension (φ=1)	248	2	C4.13D62	496,4
C₄.₁₄D₆₂ = C₂×C₃₁⋊C₈	central extension (φ=1)	496		C4.14D62	496,8
C₄.₁₅D₆₂ = C₄.Dic₃₁	central extension (φ=1)	248	2	C4.15D62	496,9
C₄.₁₆D₆₂ = D₁₂₄⋊₅C₂	central extension (φ=1)	248	2	C4.16D62	496,30

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