Extensions 1→N→G→Q→1 with N=C3 and Q=C8.12D4

Direct product G=N×Q with N=C3 and Q=C8.12D4
dρLabelID
C3×C8.12D496C3xC8.12D4192,928

Semidirect products G=N:Q with N=C3 and Q=C8.12D4
extensionφ:Q→Aut NdρLabelID
C31(C8.12D4) = C8.8D12φ: C8.12D4/C4×C8C2 ⊆ Aut C396C3:1(C8.12D4)192,255
C32(C8.12D4) = C42.214D6φ: C8.12D4/C4.4D4C2 ⊆ Aut C396C3:2(C8.12D4)192,618
C33(C8.12D4) = C24.22D4φ: C8.12D4/C2×D8C2 ⊆ Aut C396C3:3(C8.12D4)192,714
C34(C8.12D4) = C24.43D4φ: C8.12D4/C2×SD16C2 ⊆ Aut C396C3:4(C8.12D4)192,727
C35(C8.12D4) = C24.28D4φ: C8.12D4/C2×Q16C2 ⊆ Aut C396C3:5(C8.12D4)192,750


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