Extensions 1→N→G→Q→1 with N=C₂×C₃₈ and Q=C₂²

Direct product G=N×Q with N=C₂×C₃₈ and Q=C₂²

		d	ρ	Label	ID
C₂³×C₃₈		304		C2^3xC38	304,42

Semidirect products G=N:Q with N=C₂×C₃₈ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₃₈)⋊C₂² = D₄×D₁₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₃₈	76	4+	(C2xC38):C2^2	304,31
(C₂×C₃₈)⋊₂C₂² = D₄×C₃₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₃₈	152		(C2xC38):2C2^2	304,38
(C₂×C₃₈)⋊₃C₂² = C₂×C₁₉⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₃₈	152		(C2xC38):3C2^2	304,36
(C₂×C₃₈)⋊₄C₂² = C₂³×D₁₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₃₈	152		(C2xC38):4C2^2	304,41

Non-split extensions G=N.Q with N=C₂×C₃₈ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₃₈).C₂² = D₄⋊₂D₁₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₃₈	152	4-	(C2xC38).C2^2	304,32
(C₂×C₃₈).₂C₂² = C₄○D₄×C₁₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₃₈	152	2	(C2xC38).2C2^2	304,40
(C₂×C₃₈).₃C₂² = C₄×Dic₁₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₃₈	304		(C2xC38).3C2^2	304,10
(C₂×C₃₈).₄C₂² = Dic₁₉⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₃₈	304		(C2xC38).4C2^2	304,11
(C₂×C₃₈).₅C₂² = C₇₆⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₃₈	304		(C2xC38).5C2^2	304,12
(C₂×C₃₈).₆C₂² = D₃₈⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₃₈	152		(C2xC38).6C2^2	304,13
(C₂×C₃₈).₇C₂² = C₂³.D₁₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₃₈	152		(C2xC38).7C2^2	304,18
(C₂×C₃₈).₈C₂² = C₂×Dic₃₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₃₈	304		(C2xC38).8C2^2	304,27
(C₂×C₃₈).₉C₂² = C₂×C₄×D₁₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₃₈	152		(C2xC38).9C2^2	304,28
(C₂×C₃₈).₁₀C₂² = C₂×D₇₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₃₈	152		(C2xC38).10C2^2	304,29
(C₂×C₃₈).₁₁C₂² = D₇₆⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₃₈	152	2	(C2xC38).11C2^2	304,30
(C₂×C₃₈).₁₂C₂² = C₂²×Dic₁₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₃₈	304		(C2xC38).12C2^2	304,35
(C₂×C₃₈).₁₃C₂² = C₂²⋊C₄×C₁₉	central extension (φ=1)	152		(C2xC38).13C2^2	304,20
(C₂×C₃₈).₁₄C₂² = C₄⋊C₄×C₁₉	central extension (φ=1)	304		(C2xC38).14C2^2	304,21
(C₂×C₃₈).₁₅C₂² = Q₈×C₃₈	central extension (φ=1)	304		(C2xC38).15C2^2	304,39

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁