Extensions 1→N→G→Q→1 with N=C₁₈ and Q=C₃:C₈

Direct product G=NxQ with N=C₁₈ and Q=C₃:C₈

		d	ρ	Label	ID
C₁₈xC₃:C₈		144		C18xC3:C8	432,126

Semidirect products G=N:Q with N=C₁₈ and Q=C₃:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈:(C₃:C₈) = C₂xC₃₆.S₃	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₁₈	432		C18:(C3:C8)	432,178

Non-split extensions G=N.Q with N=C₁₈ and Q=C₃:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.₁(C₃:C₈) = C₂₇:C₁₆	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₁₈	432	2	C18.1(C3:C8)	432,1
C₁₈.₂(C₃:C₈) = C₂xC₂₇:C₈	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₁₈	432		C18.2(C3:C8)	432,9
C₁₈.₃(C₃:C₈) = C₇₂.S₃	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₁₈	432		C18.3(C3:C8)	432,32
C₁₈.₄(C₃:C₈) = C₉xC₃:C₁₆	central extension (φ=1)	144	2	C18.4(C3:C8)	432,29

׿

x

:

Z

F

o

wr

Q

<