Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C3⋊Q16

Direct product G=N×Q with N=C3 and Q=C2×C3⋊Q16
dρLabelID
C6×C3⋊Q1696C6xC3:Q16288,714

Semidirect products G=N:Q with N=C3 and Q=C2×C3⋊Q16
extensionφ:Q→Aut NdρLabelID
C31(C2×C3⋊Q16) = C2×C323Q16φ: C2×C3⋊Q16/C2×C3⋊C8C2 ⊆ Aut C396C3:1(C2xC3:Q16)288,483
C32(C2×C3⋊Q16) = S3×C3⋊Q16φ: C2×C3⋊Q16/C3⋊Q16C2 ⊆ Aut C3968-C3:2(C2xC3:Q16)288,590
C33(C2×C3⋊Q16) = C2×C322Q16φ: C2×C3⋊Q16/C2×Dic6C2 ⊆ Aut C396C3:3(C2xC3:Q16)288,482
C34(C2×C3⋊Q16) = C2×C327Q16φ: C2×C3⋊Q16/C6×Q8C2 ⊆ Aut C3288C3:4(C2xC3:Q16)288,800

Non-split extensions G=N.Q with N=C3 and Q=C2×C3⋊Q16
extensionφ:Q→Aut NdρLabelID
C3.(C2×C3⋊Q16) = C2×C9⋊Q16φ: C2×C3⋊Q16/C6×Q8C2 ⊆ Aut C3288C3.(C2xC3:Q16)288,151

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