Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=C₆²

Direct product G=NxQ with N=C₂xC₄ and Q=C₆²

		d	ρ	Label	ID
C₂²xC₆xC₁₂		288		C2^2xC6xC12	288,1018

Semidirect products G=N:Q with N=C₂xC₄ and Q=C₆²

extension	φ:Q→Aut N	d	Label	ID
(C₂xC₄):₁C₆² = C₃²xC₂²wrC₂	φ: C₆²/C₃² → C₂² ⊆ Aut C₂xC₄	72	(C2xC4):1C6^2	288,817
(C₂xC₄):₂C₆² = C₃²x2₊¹⁺⁴	φ: C₆²/C₃² → C₂² ⊆ Aut C₂xC₄	72	(C2xC4):2C6^2	288,1022
(C₂xC₄):₃C₆² = C₂²:C₄xC₃xC₆	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	144	(C2xC4):3C6^2	288,812
(C₂xC₄):₄C₆² = D₄xC₆²	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	144	(C2xC4):4C6^2	288,1019
(C₂xC₄):₅C₆² = C₄oD₄xC₃xC₆	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	144	(C2xC4):5C6^2	288,1021

Non-split extensions G=N.Q with N=C₂xC₄ and Q=C₆²

extension	φ:Q→Aut N	d	Label	ID
(C₂xC₄).₁C₆² = C₃²xC₄.D₄	φ: C₆²/C₃² → C₂² ⊆ Aut C₂xC₄	72	(C2xC4).1C6^2	288,318
(C₂xC₄).₂C₆² = C₃²xC₄.₁₀D₄	φ: C₆²/C₃² → C₂² ⊆ Aut C₂xC₄	144	(C2xC4).2C6^2	288,319
(C₂xC₄).₃C₆² = C₃²xC₄:D₄	φ: C₆²/C₃² → C₂² ⊆ Aut C₂xC₄	144	(C2xC4).3C6^2	288,818
(C₂xC₄).₄C₆² = C₃²xC₂²:Q₈	φ: C₆²/C₃² → C₂² ⊆ Aut C₂xC₄	144	(C2xC4).4C6^2	288,819
(C₂xC₄).₅C₆² = C₃²xC₂².D₄	φ: C₆²/C₃² → C₂² ⊆ Aut C₂xC₄	144	(C2xC4).5C6^2	288,820
(C₂xC₄).₆C₆² = C₃²xC₈:C₂²	φ: C₆²/C₃² → C₂² ⊆ Aut C₂xC₄	72	(C2xC4).6C6^2	288,833
(C₂xC₄).₇C₆² = C₃²xC₈.C₂²	φ: C₆²/C₃² → C₂² ⊆ Aut C₂xC₄	144	(C2xC4).7C6^2	288,834
(C₂xC₄).₈C₆² = C₃²x2_-¹⁺⁴	φ: C₆²/C₃² → C₂² ⊆ Aut C₂xC₄	144	(C2xC4).8C6^2	288,1023
(C₂xC₄).₉C₆² = C₄:C₄xC₃xC₆	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	288	(C2xC4).9C6^2	288,813
(C₂xC₄).₁₀C₆² = C₃²xC₄²:C₂	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	144	(C2xC4).10C6^2	288,814
(C₂xC₄).₁₁C₆² = C₃²xC₄.₄D₄	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	144	(C2xC4).11C6^2	288,821
(C₂xC₄).₁₂C₆² = C₃²xC₄².C₂	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	288	(C2xC4).12C6^2	288,822
(C₂xC₄).₁₃C₆² = C₃²xC₄²:₂C₂	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	144	(C2xC4).13C6^2	288,823
(C₂xC₄).₁₄C₆² = C₃²xD₄:C₄	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	144	(C2xC4).14C6^2	288,320
(C₂xC₄).₁₅C₆² = C₃²xQ₈:C₄	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	288	(C2xC4).15C6^2	288,321
(C₂xC₄).₁₆C₆² = C₃²xC₄wrC₂	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	72	(C2xC4).16C6^2	288,322
(C₂xC₄).₁₇C₆² = C₃²xC₄.Q₈	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	288	(C2xC4).17C6^2	288,324
(C₂xC₄).₁₈C₆² = C₃²xC₂.D₈	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	288	(C2xC4).18C6^2	288,325
(C₂xC₄).₁₉C₆² = C₃²xC₈.C₄	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	144	(C2xC4).19C6^2	288,326
(C₂xC₄).₂₀C₆² = D₄xC₃xC₁₂	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	144	(C2xC4).20C6^2	288,815
(C₂xC₄).₂₁C₆² = Q₈xC₃xC₁₂	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	288	(C2xC4).21C6^2	288,816
(C₂xC₄).₂₂C₆² = C₃²xC₄:₁D₄	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	144	(C2xC4).22C6^2	288,824
(C₂xC₄).₂₃C₆² = C₃²xC₄:Q₈	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	288	(C2xC4).23C6^2	288,825
(C₂xC₄).₂₄C₆² = C₃²xC₈oD₄	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	144	(C2xC4).24C6^2	288,828
(C₂xC₄).₂₅C₆² = D₈xC₃xC₆	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	144	(C2xC4).25C6^2	288,829
(C₂xC₄).₂₆C₆² = SD₁₆xC₃xC₆	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	144	(C2xC4).26C6^2	288,830
(C₂xC₄).₂₇C₆² = Q₁₆xC₃xC₆	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	288	(C2xC4).27C6^2	288,831
(C₂xC₄).₂₈C₆² = C₃²xC₄oD₈	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	144	(C2xC4).28C6^2	288,832
(C₂xC₄).₂₉C₆² = Q₈xC₆²	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	288	(C2xC4).29C6^2	288,1020
(C₂xC₄).₃₀C₆² = C₃²xC₈:C₄	central extension (φ=1)	288	(C2xC4).30C6^2	288,315
(C₂xC₄).₃₁C₆² = C₃²xC₂²:C₈	central extension (φ=1)	144	(C2xC4).31C6^2	288,316
(C₂xC₄).₃₂C₆² = C₃²xC₄:C₈	central extension (φ=1)	288	(C2xC4).32C6^2	288,323
(C₂xC₄).₃₃C₆² = M₄(2)xC₃xC₆	central extension (φ=1)	144	(C2xC4).33C6^2	288,827

Extensions 1→N→G→Q→1 with N=C2xC4 and Q=C62

Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=C₆²