Extensions 1→N→G→Q→1 with N=C4 and Q=C33⋊C4

Direct product G=N×Q with N=C4 and Q=C33⋊C4
dρLabelID
C4×C33⋊C4484C4xC3^3:C4432,637

Semidirect products G=N:Q with N=C4 and Q=C33⋊C4
extensionφ:Q→Aut NdρLabelID
C4⋊(C33⋊C4) = C339(C4⋊C4)φ: C33⋊C4/C3×C3⋊S3C2 ⊆ Aut C4484C4:(C3^3:C4)432,638

Non-split extensions G=N.Q with N=C4 and Q=C33⋊C4
extensionφ:Q→Aut NdρLabelID
C4.(C33⋊C4) = C334M4(2)φ: C33⋊C4/C3×C3⋊S3C2 ⊆ Aut C4484C4.(C3^3:C4)432,636
C4.2(C33⋊C4) = C334C16central extension (φ=1)484C4.2(C3^3:C4)432,413
C4.3(C33⋊C4) = C337(C2×C8)central extension (φ=1)484C4.3(C3^3:C4)432,635

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