Extensions 1→N→G→Q→1 with N=C3 and Q=C3⋊Q16

Direct product G=N×Q with N=C3 and Q=C3⋊Q16
dρLabelID
C3×C3⋊Q16484C3xC3:Q16144,83

Semidirect products G=N:Q with N=C3 and Q=C3⋊Q16
extensionφ:Q→Aut NdρLabelID
C31(C3⋊Q16) = C323Q16φ: C3⋊Q16/C3⋊C8C2 ⊆ Aut C3484-C3:1(C3:Q16)144,62
C32(C3⋊Q16) = C322Q16φ: C3⋊Q16/Dic6C2 ⊆ Aut C3484C3:2(C3:Q16)144,61
C33(C3⋊Q16) = C327Q16φ: C3⋊Q16/C3×Q8C2 ⊆ Aut C3144C3:3(C3:Q16)144,99

Non-split extensions G=N.Q with N=C3 and Q=C3⋊Q16
extensionφ:Q→Aut NdρLabelID
C3.(C3⋊Q16) = C9⋊Q16φ: C3⋊Q16/C3×Q8C2 ⊆ Aut C31444-C3.(C3:Q16)144,17

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