Extensions 1→N→G→Q→1 with N=C₆₂ and Q=D₄

Direct product G=N×Q with N=C₆₂ and Q=D₄

		d	ρ	Label	ID
D₄×C₆₂		248		D4xC62	496,38

Semidirect products G=N:Q with N=C₆₂ and Q=D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₂⋊₁D₄ = C₂×D₁₂₄	φ: D₄/C₄ → C₂ ⊆ Aut C₆₂	248		C62:1D4	496,29
C₆₂⋊₂D₄ = C₂×C₃₁⋊D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₆₂	248		C62:2D4	496,36

Non-split extensions G=N.Q with N=C₆₂ and Q=D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₂.₁D₄ = C₂₄₈⋊C₂	φ: D₄/C₄ → C₂ ⊆ Aut C₆₂	248	2	C62.1D4	496,5
C₆₂.₂D₄ = D₂₄₈	φ: D₄/C₄ → C₂ ⊆ Aut C₆₂	248	2+	C62.2D4	496,6
C₆₂.₃D₄ = Dic₁₂₄	φ: D₄/C₄ → C₂ ⊆ Aut C₆₂	496	2-	C62.3D4	496,7
C₆₂.₄D₄ = C₄⋊Dic₃₁	φ: D₄/C₄ → C₂ ⊆ Aut C₆₂	496		C62.4D4	496,12
C₆₂.₅D₄ = Dic₃₁⋊C₄	φ: D₄/C₂² → C₂ ⊆ Aut C₆₂	496		C62.5D4	496,11
C₆₂.₆D₄ = D₆₂⋊C₄	φ: D₄/C₂² → C₂ ⊆ Aut C₆₂	248		C62.6D4	496,13
C₆₂.₇D₄ = D₄⋊D₃₁	φ: D₄/C₂² → C₂ ⊆ Aut C₆₂	248	4+	C62.7D4	496,14
C₆₂.₈D₄ = D₄.D₃₁	φ: D₄/C₂² → C₂ ⊆ Aut C₆₂	248	4-	C62.8D4	496,15
C₆₂.₉D₄ = Q₈⋊D₃₁	φ: D₄/C₂² → C₂ ⊆ Aut C₆₂	248	4+	C62.9D4	496,16
C₆₂.₁₀D₄ = C₃₁⋊Q₁₆	φ: D₄/C₂² → C₂ ⊆ Aut C₆₂	496	4-	C62.10D4	496,17
C₆₂.₁₁D₄ = C₂³.D₃₁	φ: D₄/C₂² → C₂ ⊆ Aut C₆₂	248		C62.11D4	496,18
C₆₂.₁₂D₄ = C₂²⋊C₄×C₃₁	central extension (φ=1)	248		C62.12D4	496,20
C₆₂.₁₃D₄ = C₄⋊C₄×C₃₁	central extension (φ=1)	496		C62.13D4	496,21
C₆₂.₁₄D₄ = D₈×C₃₁	central extension (φ=1)	248	2	C62.14D4	496,24
C₆₂.₁₅D₄ = SD₁₆×C₃₁	central extension (φ=1)	248	2	C62.15D4	496,25
C₆₂.₁₆D₄ = Q₁₆×C₃₁	central extension (φ=1)	496	2	C62.16D4	496,26

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