Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃xDic₃

Direct product G=NxQ with N=C₆ and Q=C₃xDic₃

		d	ρ	Label	ID
Dic₃xC₃xC₆		72		Dic3xC3xC6	216,138

Semidirect products G=N:Q with N=C₆ and Q=C₃xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(C₃xDic₃) = C₆xC₃:Dic₃	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₆	72		C6:(C3xDic3)	216,143

Non-split extensions G=N.Q with N=C₆ and Q=C₃xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₃xDic₃) = C₃xC₉:C₈	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₆	72	2	C6.1(C3xDic3)	216,12
C₆.₂(C₃xDic₃) = He₃:₃C₈	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₆	72	6	C6.2(C3xDic3)	216,14
C₆.₃(C₃xDic₃) = C₉:C₂₄	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₆	72	6	C6.3(C3xDic3)	216,15
C₆.₄(C₃xDic₃) = C₆xDic₉	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₆	72		C6.4(C3xDic3)	216,55
C₆.₅(C₃xDic₃) = C₂xC₃²:C₁₂	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₆	72		C6.5(C3xDic3)	216,59
C₆.₆(C₃xDic₃) = C₂xC₉:C₁₂	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₆	72		C6.6(C3xDic3)	216,61
C₆.₇(C₃xDic₃) = C₃xC₃²:₄C₈	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₆	72		C6.7(C3xDic3)	216,83
C₆.₈(C₃xDic₃) = C₉xC₃:C₈	central extension (φ=1)	72	2	C6.8(C3xDic3)	216,13
C₆.₉(C₃xDic₃) = Dic₃xC₁₈	central extension (φ=1)	72		C6.9(C3xDic3)	216,56
C₆.₁₀(C₃xDic₃) = C₃²xC₃:C₈	central extension (φ=1)	72		C6.10(C3xDic3)	216,82

׿

x

:

Z

F

o

wr

Q

<