Extensions 1→N→G→Q→1 with N=C₂xC₁₉:C₃ and Q=C₂²

Direct product G=NxQ with N=C₂xC₁₉:C₃ and Q=C₂²

		d	ρ	Label	ID
C₂³xC₁₉:C₃		152		C2^3xC19:C3	456,48

Semidirect products G=N:Q with N=C₂xC₁₉:C₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₁₉:C₃):C₂² = C₂²xC₁₉:C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₁₉:C₃	76		(C2xC19:C3):C2^2	456,44

Non-split extensions G=N.Q with N=C₂xC₁₉:C₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₁₉:C₃).₁C₂² = Dic₃₈:C₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₁₉:C₃	152	6-	(C2xC19:C3).1C2^2	456,7
(C₂xC₁₉:C₃).₂C₂² = C₄xC₁₉:C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₁₉:C₃	76	6	(C2xC19:C3).2C2^2	456,8
(C₂xC₁₉:C₃).₃C₂² = D₇₆:C₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₁₉:C₃	76	6+	(C2xC19:C3).3C2^2	456,9
(C₂xC₁₉:C₃).₄C₂² = C₂xC₁₉:C₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₁₉:C₃	152		(C2xC19:C3).4C2^2	456,10
(C₂xC₁₉:C₃).₅C₂² = D₃₈:C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₁₉:C₃	76	6	(C2xC19:C3).5C2^2	456,11
(C₂xC₁₉:C₃).₆C₂² = C₂xC₄xC₁₉:C₃	φ: trivial image	152		(C2xC19:C3).6C2^2	456,19
(C₂xC₁₉:C₃).₇C₂² = D₄xC₁₉:C₃	φ: trivial image	76	6	(C2xC19:C3).7C2^2	456,20
(C₂xC₁₉:C₃).₈C₂² = Q₈xC₁₉:C₃	φ: trivial image	152	6	(C2xC19:C3).8C2^2	456,21

׿

x

:

Z

F

o

wr

Q

<