Extensions 1→N→G→Q→1 with N=C32 and Q=C8⋊C4

Direct product G=N×Q with N=C32 and Q=C8⋊C4
dρLabelID
C32×C8⋊C4288C3^2xC8:C4288,315

Semidirect products G=N:Q with N=C32 and Q=C8⋊C4
extensionφ:Q→Aut NdρLabelID
C321(C8⋊C4) = (C3×C24)⋊C4φ: C8⋊C4/C8C4 ⊆ Aut C32484C3^2:1(C8:C4)288,415
C322(C8⋊C4) = C322C8⋊C4φ: C8⋊C4/C2×C4C4 ⊆ Aut C3296C3^2:2(C8:C4)288,425
C323(C8⋊C4) = C3⋊C8⋊Dic3φ: C8⋊C4/C2×C4C22 ⊆ Aut C3296C3^2:3(C8:C4)288,202
C324(C8⋊C4) = C2.Dic32φ: C8⋊C4/C2×C4C22 ⊆ Aut C3296C3^2:4(C8:C4)288,203
C325(C8⋊C4) = C3×C42.S3φ: C8⋊C4/C42C2 ⊆ Aut C3296C3^2:5(C8:C4)288,237
C326(C8⋊C4) = C122.C2φ: C8⋊C4/C42C2 ⊆ Aut C32288C3^2:6(C8:C4)288,278
C327(C8⋊C4) = C3×C24⋊C4φ: C8⋊C4/C2×C8C2 ⊆ Aut C3296C3^2:7(C8:C4)288,249
C328(C8⋊C4) = C24⋊Dic3φ: C8⋊C4/C2×C8C2 ⊆ Aut C32288C3^2:8(C8:C4)288,290


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