Extensions 1→N→G→Q→1 with N=C3 and Q=C2xC3:Q16

Direct product G=NxQ with N=C3 and Q=C2xC3:Q16
dρLabelID
C6xC3:Q1696C6xC3:Q16288,714

Semidirect products G=N:Q with N=C3 and Q=C2xC3:Q16
extensionφ:Q→Aut NdρLabelID
C3:1(C2xC3:Q16) = C2xC32:3Q16φ: C2xC3:Q16/C2xC3:C8C2 ⊆ Aut C396C3:1(C2xC3:Q16)288,483
C3:2(C2xC3:Q16) = S3xC3:Q16φ: C2xC3:Q16/C3:Q16C2 ⊆ Aut C3968-C3:2(C2xC3:Q16)288,590
C3:3(C2xC3:Q16) = C2xC32:2Q16φ: C2xC3:Q16/C2xDic6C2 ⊆ Aut C396C3:3(C2xC3:Q16)288,482
C3:4(C2xC3:Q16) = C2xC32:7Q16φ: C2xC3:Q16/C6xQ8C2 ⊆ Aut C3288C3:4(C2xC3:Q16)288,800

Non-split extensions G=N.Q with N=C3 and Q=C2xC3:Q16
extensionφ:Q→Aut NdρLabelID
C3.(C2xC3:Q16) = C2xC9:Q16φ: C2xC3:Q16/C6xQ8C2 ⊆ Aut C3288C3.(C2xC3:Q16)288,151

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