Extensions 1→N→G→Q→1 with N=C₁₄ and Q=D₁₄

Direct product G=N×Q with N=C₁₄ and Q=D₁₄

		d	ρ	Label	ID
D₇×C₂×C₁₄		56		D7xC2xC14	392,42

Semidirect products G=N:Q with N=C₁₄ and Q=D₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊₁D₁₄ = C₂×D₇²	φ: D₁₄/D₇ → C₂ ⊆ Aut C₁₄	28	4+	C14:1D14	392,41
C₁₄⋊₂D₁₄ = C₂²×C₇⋊D₇	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₁₄	196		C14:2D14	392,43

Non-split extensions G=N.Q with N=C₁₄ and Q=D₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁D₁₄ = D₇×Dic₇	φ: D₁₄/D₇ → C₂ ⊆ Aut C₁₄	56	4-	C14.1D14	392,18
C₁₄.₂D₁₄ = Dic₇⋊₂D₇	φ: D₁₄/D₇ → C₂ ⊆ Aut C₁₄	28	4+	C14.2D14	392,19
C₁₄.₃D₁₄ = C₇²⋊₂D₄	φ: D₁₄/D₇ → C₂ ⊆ Aut C₁₄	56	4-	C14.3D14	392,20
C₁₄.₄D₁₄ = C₇⋊D₂₈	φ: D₁₄/D₇ → C₂ ⊆ Aut C₁₄	28	4+	C14.4D14	392,21
C₁₄.₅D₁₄ = C₇²⋊₂Q₈	φ: D₁₄/D₇ → C₂ ⊆ Aut C₁₄	56	4-	C14.5D14	392,22
C₁₄.₆D₁₄ = Dic₉₈	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₁₄	392	2-	C14.6D14	392,3
C₁₄.₇D₁₄ = C₄×D₄₉	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₁₄	196	2	C14.7D14	392,4
C₁₄.₈D₁₄ = D₁₉₆	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₁₄	196	2+	C14.8D14	392,5
C₁₄.₉D₁₄ = C₂×Dic₄₉	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₁₄	392		C14.9D14	392,6
C₁₄.₁₀D₁₄ = C₄₉⋊D₄	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₁₄	196	2	C14.10D14	392,7
C₁₄.₁₁D₁₄ = C₂²×D₄₉	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₁₄	196		C14.11D14	392,12
C₁₄.₁₂D₁₄ = C₇²⋊₄Q₈	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₁₄	392		C14.12D14	392,28
C₁₄.₁₃D₁₄ = C₄×C₇⋊D₇	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₁₄	196		C14.13D14	392,29
C₁₄.₁₄D₁₄ = C₂₈⋊D₇	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₁₄	196		C14.14D14	392,30
C₁₄.₁₅D₁₄ = C₂×C₇⋊Dic₇	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₁₄	392		C14.15D14	392,31
C₁₄.₁₆D₁₄ = C₇²⋊₇D₄	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₁₄	196		C14.16D14	392,32
C₁₄.₁₇D₁₄ = C₇×Dic₁₄	central extension (φ=1)	56	2	C14.17D14	392,23
C₁₄.₁₈D₁₄ = D₇×C₂₈	central extension (φ=1)	56	2	C14.18D14	392,24
C₁₄.₁₉D₁₄ = C₇×D₂₈	central extension (φ=1)	56	2	C14.19D14	392,25
C₁₄.₂₀D₁₄ = C₁₄×Dic₇	central extension (φ=1)	56		C14.20D14	392,26
C₁₄.₂₁D₁₄ = C₇×C₇⋊D₄	central extension (φ=1)	28	2	C14.21D14	392,27

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Extensions 1→N→G→Q→1 with N=C14 and Q=D14

Extensions 1→N→G→Q→1 with N=C₁₄ and Q=D₁₄