Extensions 1→N→G→Q→1 with N=C2×C7⋊C3 and Q=D5

Direct product G=N×Q with N=C2×C7⋊C3 and Q=D5
dρLabelID
C2×D5×C7⋊C3706C2xD5xC7:C3420,18

Semidirect products G=N:Q with N=C2×C7⋊C3 and Q=D5
extensionφ:Q→Out NdρLabelID
(C2×C7⋊C3)⋊D5 = C2×C5⋊F7φ: D5/C5C2 ⊆ Out C2×C7⋊C3706+(C2xC7:C3):D5420,19

Non-split extensions G=N.Q with N=C2×C7⋊C3 and Q=D5
extensionφ:Q→Out NdρLabelID
(C2×C7⋊C3).D5 = C353C12φ: D5/C5C2 ⊆ Out C2×C7⋊C31406-(C2xC7:C3).D5420,3
(C2×C7⋊C3).2D5 = Dic5×C7⋊C3φ: trivial image1406(C2xC7:C3).2D5420,2

׿
×
𝔽