Extensions 1→N→G→Q→1 with N=C3 and Q=C3xC4.10D4

Direct product G=NxQ with N=C3 and Q=C3xC4.10D4
dρLabelID
C32xC4.10D4144C3^2xC4.10D4288,319

Semidirect products G=N:Q with N=C3 and Q=C3xC4.10D4
extensionφ:Q→Aut NdρLabelID
C3:1(C3xC4.10D4) = C3xC12.47D4φ: C3xC4.10D4/C3xM4(2)C2 ⊆ Aut C3484C3:1(C3xC4.10D4)288,258
C3:2(C3xC4.10D4) = C3xC12.10D4φ: C3xC4.10D4/C6xQ8C2 ⊆ Aut C3484C3:2(C3xC4.10D4)288,270

Non-split extensions G=N.Q with N=C3 and Q=C3xC4.10D4
extensionφ:Q→Aut NdρLabelID
C3.(C3xC4.10D4) = C9xC4.10D4central extension (φ=1)1444C3.(C3xC4.10D4)288,51

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