Extensions 1→N→G→Q→1 with N=C₄⋊₁D₄ and Q=C₁₄

Direct product G=N×Q with N=C₄⋊₁D₄ and Q=C₁₄

		d	ρ	Label	ID
C₁₄×C₄⋊₁D₄		224		C14xC4:1D4	448,1313

Semidirect products G=N:Q with N=C₄⋊₁D₄ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊₁D₄⋊₁C₁₄ = C₇×D₄⋊₄D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊₁D₄	56	4	C4:1D4:1C14	448,861
C₄⋊₁D₄⋊₂C₁₄ = C₇×C₄⋊D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊₁D₄	224		C4:1D4:2C14	448,867
C₄⋊₁D₄⋊₃C₁₄ = C₇×C₈⋊₄D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊₁D₄	224		C4:1D4:3C14	448,901
C₄⋊₁D₄⋊₄C₁₄ = C₇×C₈⋊₃D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊₁D₄	224		C4:1D4:4C14	448,904
C₄⋊₁D₄⋊₅C₁₄ = C₇×C₂².₂₉C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊₁D₄	112		C4:1D4:5C14	448,1318
C₄⋊₁D₄⋊₆C₁₄ = C₇×C₂².₃₄C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊₁D₄	224		C4:1D4:6C14	448,1323
C₄⋊₁D₄⋊₇C₁₄ = C₇×D₄²	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊₁D₄	112		C4:1D4:7C14	448,1328
C₄⋊₁D₄⋊₈C₁₄ = C₇×Q₈⋊₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊₁D₄	224		C4:1D4:8C14	448,1333
C₄⋊₁D₄⋊₉C₁₄ = C₇×C₂².₅₄C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊₁D₄	112		C4:1D4:9C14	448,1343
C₄⋊₁D₄⋊₁₀C₁₄ = C₇×C₂².₂₆C₂⁴	φ: trivial image	224		C4:1D4:10C14	448,1315

Non-split extensions G=N.Q with N=C₄⋊₁D₄ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊₁D₄.₁C₁₄ = C₇×C₄.D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊₁D₄	224		C4:1D4.1C14	448,135
C₄⋊₁D₄.₂C₁₄ = C₇×C₄²⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊₁D₄	56	4	C4:1D4.2C14	448,157
C₄⋊₁D₄.₃C₁₄ = C₇×C₄⋊SD₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊₁D₄	224		C4:1D4.3C14	448,868
C₄⋊₁D₄.₄C₁₄ = C₇×C₄.₄D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊₁D₄	224		C4:1D4.4C14	448,894
C₄⋊₁D₄.₅C₁₄ = C₇×C₄².₂₉C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊₁D₄	224		C4:1D4.5C14	448,898
C₄⋊₁D₄.₆C₁₄ = C₇×C₈⋊₅D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊₁D₄	224		C4:1D4.6C14	448,900
C₄⋊₁D₄.₇C₁₄ = C₇×C₂².₅₃C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊₁D₄	224		C4:1D4.7C14	448,1342

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