Extensions 1→N→G→Q→1 with N=C10×C7⋊C3 and Q=C2

Direct product G=N×Q with N=C10×C7⋊C3 and Q=C2
dρLabelID
C2×C10×C7⋊C3140C2xC10xC7:C3420,31

Semidirect products G=N:Q with N=C10×C7⋊C3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C10×C7⋊C3)⋊1C2 = C2×C5⋊F7φ: C2/C1C2 ⊆ Out C10×C7⋊C3706+(C10xC7:C3):1C2420,19
(C10×C7⋊C3)⋊2C2 = C10×F7φ: C2/C1C2 ⊆ Out C10×C7⋊C3706(C10xC7:C3):2C2420,17
(C10×C7⋊C3)⋊3C2 = C2×D5×C7⋊C3φ: C2/C1C2 ⊆ Out C10×C7⋊C3706(C10xC7:C3):3C2420,18

Non-split extensions G=N.Q with N=C10×C7⋊C3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C10×C7⋊C3).1C2 = C353C12φ: C2/C1C2 ⊆ Out C10×C7⋊C31406-(C10xC7:C3).1C2420,3
(C10×C7⋊C3).2C2 = C5×C7⋊C12φ: C2/C1C2 ⊆ Out C10×C7⋊C31406(C10xC7:C3).2C2420,1
(C10×C7⋊C3).3C2 = Dic5×C7⋊C3φ: C2/C1C2 ⊆ Out C10×C7⋊C31406(C10xC7:C3).3C2420,2
(C10×C7⋊C3).4C2 = C20×C7⋊C3φ: trivial image1403(C10xC7:C3).4C2420,4

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