Extensions 1→N→G→Q→1 with N=C₄² and Q=C₁₄

Direct product G=N×Q with N=C₄² and Q=C₁₄

		d	ρ	Label	ID
C₂×C₄×C₂₈		224		C2xC4xC28	224,149

Semidirect products G=N:Q with N=C₄² and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²⋊₁C₁₄ = C₇×C₄²⋊C₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄²	112		C4^2:1C14	224,152
C₄²⋊₂C₁₄ = C₇×C₄²⋊₂C₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄²	112		C4^2:2C14	224,161
C₄²⋊₃C₁₄ = C₇×C₄≀C₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄²	56	2	C4^2:3C14	224,53
C₄²⋊₄C₁₄ = D₄×C₂₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄²	112		C4^2:4C14	224,153
C₄²⋊₅C₁₄ = C₇×C₄.₄D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄²	112		C4^2:5C14	224,159
C₄²⋊₆C₁₄ = C₇×C₄⋊₁D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄²	112		C4^2:6C14	224,162

Non-split extensions G=N.Q with N=C₄² and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁C₁₄ = C₇×C₈⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄²	224		C4^2.1C14	224,46
C₄².₂C₁₄ = C₇×C₄⋊C₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄²	224		C4^2.2C14	224,54
C₄².₃C₁₄ = Q₈×C₂₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄²	224		C4^2.3C14	224,154
C₄².₄C₁₄ = C₇×C₄².C₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄²	224		C4^2.4C14	224,160
C₄².₅C₁₄ = C₇×C₄⋊Q₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄²	224		C4^2.5C14	224,163

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