Extensions 1→N→G→Q→1 with N=C3 and Q=C3⋊D16

Direct product G=N×Q with N=C3 and Q=C3⋊D16
dρLabelID
C3×C3⋊D16484C3xC3:D16288,260

Semidirect products G=N:Q with N=C3 and Q=C3⋊D16
extensionφ:Q→Aut NdρLabelID
C31(C3⋊D16) = C3⋊D48φ: C3⋊D16/C3⋊C16C2 ⊆ Aut C3484+C3:1(C3:D16)288,194
C32(C3⋊D16) = C322D16φ: C3⋊D16/D24C2 ⊆ Aut C3964C3:2(C3:D16)288,193
C33(C3⋊D16) = C327D16φ: C3⋊D16/C3×D8C2 ⊆ Aut C3144C3:3(C3:D16)288,301

Non-split extensions G=N.Q with N=C3 and Q=C3⋊D16
extensionφ:Q→Aut NdρLabelID
C3.(C3⋊D16) = C9⋊D16φ: C3⋊D16/C3×D8C2 ⊆ Aut C31444+C3.(C3:D16)288,33

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