Extensions 1→N→G→Q→1 with N=C3 and Q=C3⋊D21

Direct product G=N×Q with N=C3 and Q=C3⋊D21
dρLabelID
C3×C3⋊D21126C3xC3:D21378,57

Semidirect products G=N:Q with N=C3 and Q=C3⋊D21
extensionφ:Q→Aut NdρLabelID
C3⋊(C3⋊D21) = C33⋊D7φ: C3⋊D21/C3×C21C2 ⊆ Aut C3189C3:(C3:D21)378,59

Non-split extensions G=N.Q with N=C3 and Q=C3⋊D21
extensionφ:Q→Aut NdρLabelID
C3.(C3⋊D21) = C3⋊D63φ: C3⋊D21/C3×C21C2 ⊆ Aut C3189C3.(C3:D21)378,42
C3.2(C3⋊D21) = C32⋊D21central stem extension (φ=1)636C3.2(C3:D21)378,43

׿
×
𝔽