Extensions 1→N→G→Q→1 with N=Dic₁₃ and Q=C₂³

Direct product G=N×Q with N=Dic₁₃ and Q=C₂³

		d	ρ	Label	ID
C₂³×Dic₁₃		416		C2^3xDic13	416,225

Semidirect products G=N:Q with N=Dic₁₃ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₃⋊₁C₂³ = C₂×D₄×D₁₃	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₃	104		Dic13:1C2^3	416,216
Dic₁₃⋊₂C₂³ = C₂²×C₁₃⋊D₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₃	208		Dic13:2C2^3	416,226
Dic₁₃⋊₃C₂³ = C₂²×C₄×D₁₃	φ: trivial image	208		Dic13:3C2^3	416,213

Non-split extensions G=N.Q with N=Dic₁₃ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₃.₁C₂³ = C₂²×Dic₂₆	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₃	416		Dic13.1C2^3	416,212
Dic₁₃.₂C₂³ = C₂×D₅₂⋊₅C₂	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₃	208		Dic13.2C2^3	416,215
Dic₁₃.₃C₂³ = C₂×D₄⋊₂D₁₃	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₃	208		Dic13.3C2^3	416,217
Dic₁₃.₄C₂³ = D₄⋊₆D₂₆	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₃	104	4	Dic13.4C2^3	416,218
Dic₁₃.₅C₂³ = C₂×Q₈×D₁₃	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₃	208		Dic13.5C2^3	416,219
Dic₁₃.₆C₂³ = Q₈.₁₀D₂₆	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₃	208	4	Dic13.6C2^3	416,221
Dic₁₃.₇C₂³ = D₄⋊₈D₂₆	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₃	104	4+	Dic13.7C2^3	416,223
Dic₁₃.₈C₂³ = D₄.₁₀D₂₆	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₃	208	4-	Dic13.8C2^3	416,224
Dic₁₃.₉C₂³ = C₂×D₁₃⋊C₈	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₃	208		Dic13.9C2^3	416,199
Dic₁₃.₁₀C₂³ = C₂×C₅₂.C₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₃	208		Dic13.10C2^3	416,200
Dic₁₃.₁₁C₂³ = D₁₃⋊M₄(2)	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₃	104	4	Dic13.11C2^3	416,201
Dic₁₃.₁₂C₂³ = Dic₂₆.C₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₃	208	8-	Dic13.12C2^3	416,205
Dic₁₃.₁₃C₂³ = D₅₂.C₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₃	208	8+	Dic13.13C2^3	416,207
Dic₁₃.₁₄C₂³ = C₂²×C₁₃⋊C₈	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₃	416		Dic13.14C2^3	416,209
Dic₁₃.₁₅C₂³ = C₂×C₁₃⋊M₄(2)	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₃	208		Dic13.15C2^3	416,210
Dic₁₃.₁₆C₂³ = C₂×D₅₂⋊C₂	φ: trivial image	208		Dic13.16C2^3	416,220
Dic₁₃.₁₇C₂³ = C₄○D₄×D₁₃	φ: trivial image	104	4	Dic13.17C2^3	416,222

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