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

Direct product G=N×Q with N=C3 and Q=C8⋊D4
dρLabelID
C3×C8⋊D496C3xC8:D4192,901

Semidirect products G=N:Q with N=C3 and Q=C8⋊D4
extensionφ:Q→Aut NdρLabelID
C3⋊1(C8⋊D4) = C3⋊C8⋊1D4φ: C8⋊D4/D4⋊C4 → C2 ⊆ Aut C396C3:1(C8:D4)192,339
C3⋊2(C8⋊D4) = C3⋊(C8⋊D4)φ: C8⋊D4/Q8⋊C4 → C2 ⊆ Aut C396C3:2(C8:D4)192,371
C3⋊3(C8⋊D4) = C8⋊3D12φ: C8⋊D4/C2.D8 → C2 ⊆ Aut C396C3:3(C8:D4)192,445
C3⋊4(C8⋊D4) = C3⋊C8⋊5D4φ: C8⋊D4/C4⋊D4 → C2 ⊆ Aut C396C3:4(C8:D4)192,601
C3⋊5(C8⋊D4) = C3⋊C8⋊6D4φ: C8⋊D4/C22⋊Q8 → C2 ⊆ Aut C396C3:5(C8:D4)192,608
C3⋊6(C8⋊D4) = C24⋊2D4φ: C8⋊D4/C2×M4(2) → C2 ⊆ Aut C396C3:6(C8:D4)192,693
C3⋊7(C8⋊D4) = C24⋊8D4φ: C8⋊D4/C2×SD16 → C2 ⊆ Aut C396C3:7(C8:D4)192,733


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