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Extensions 1→N→G→Q→1 with N=C32 and Q=Q8⋊C4

Direct product G=N×Q with N=C32 and Q=Q8⋊C4
dρLabelID
C32×Q8⋊C4288C3^2xQ8:C4288,321

Semidirect products G=N:Q with N=C32 and Q=Q8⋊C4
extensionφ:Q→Aut NdρLabelID
C32⋊(Q8⋊C4) = PSU3(𝔽2)⋊C4φ: Q8⋊C4/C2 → SD16 ⊆ Aut C32368C3^2:(Q8:C4)288,842
C32⋊2(Q8⋊C4) = C3⋊S3.2Q16φ: Q8⋊C4/C4 → D4 ⊆ Aut C32484C3^2:2(Q8:C4)288,378
C32⋊3(Q8⋊C4) = C62.4D4φ: Q8⋊C4/C22 → D4 ⊆ Aut C3296C3^2:3(Q8:C4)288,388
C32⋊4(Q8⋊C4) = Dic6⋊Dic3φ: Q8⋊C4/C2×C4 → C22 ⊆ Aut C3296C3^2:4(Q8:C4)288,213
C32⋊5(Q8⋊C4) = C6.Dic12φ: Q8⋊C4/C2×C4 → C22 ⊆ Aut C3296C3^2:5(Q8:C4)288,214
C32⋊6(Q8⋊C4) = C12.73D12φ: Q8⋊C4/C2×C4 → C22 ⊆ Aut C3296C3^2:6(Q8:C4)288,215
C32⋊7(Q8⋊C4) = C3⋊S3.5Q16φ: Q8⋊C4/Q8 → C4 ⊆ Aut C32488-C3^2:7(Q8:C4)288,432
C32⋊8(Q8⋊C4) = C3×C6.SD16φ: Q8⋊C4/C4⋊C4 → C2 ⊆ Aut C3296C3^2:8(Q8:C4)288,244
C32⋊9(Q8⋊C4) = C62.114D4φ: Q8⋊C4/C4⋊C4 → C2 ⊆ Aut C32288C3^2:9(Q8:C4)288,285
C32⋊10(Q8⋊C4) = C3×C2.Dic12φ: Q8⋊C4/C2×C8 → C2 ⊆ Aut C3296C3^2:10(Q8:C4)288,250
C32⋊11(Q8⋊C4) = C6.4Dic12φ: Q8⋊C4/C2×C8 → C2 ⊆ Aut C32288C3^2:11(Q8:C4)288,291
C32⋊12(Q8⋊C4) = C3×Q8⋊2Dic3φ: Q8⋊C4/C2×Q8 → C2 ⊆ Aut C3296C3^2:12(Q8:C4)288,269
C32⋊13(Q8⋊C4) = C62.117D4φ: Q8⋊C4/C2×Q8 → C2 ⊆ Aut C32288C3^2:13(Q8:C4)288,310


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