Extensions 1→N→G→Q→1 with N=C₂₄ and Q=C₁₄

Direct product G=NxQ with N=C₂₄ and Q=C₁₄

		d	ρ	Label	ID
C₂xC₁₆₈		336		C2xC168	336,109

Semidirect products G=N:Q with N=C₂₄ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄:₁C₁₄ = C₇xD₂₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂₄	168	2	C24:1C14	336,77
C₂₄:₂C₁₄ = C₇xC₂₄:C₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂₄	168	2	C24:2C14	336,76
C₂₄:₃C₁₄ = D₈xC₂₁	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂₄	168	2	C24:3C14	336,111
C₂₄:₄C₁₄ = S₃xC₅₆	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂₄	168	2	C24:4C14	336,74
C₂₄:₅C₁₄ = C₇xC₈:S₃	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂₄	168	2	C24:5C14	336,75
C₂₄:₆C₁₄ = SD₁₆xC₂₁	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂₄	168	2	C24:6C14	336,112
C₂₄:₇C₁₄ = M₄(2)xC₂₁	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂₄	168	2	C24:7C14	336,110

Non-split extensions G=N.Q with N=C₂₄ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄.₁C₁₄ = C₇xDic₁₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂₄	336	2	C24.1C14	336,78
C₂₄.₂C₁₄ = Q₁₆xC₂₁	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂₄	336	2	C24.2C14	336,113
C₂₄.₃C₁₄ = C₇xC₃:C₁₆	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂₄	336	2	C24.3C14	336,3

׿

x

:

Z

F

o

wr

Q

<