Extensions 1→N→G→Q→1 with N=C8 and Q=C3×Q8

Direct product G=N×Q with N=C8 and Q=C3×Q8
dρLabelID
Q8×C24192Q8xC24192,878

Semidirect products G=N:Q with N=C8 and Q=C3×Q8
extensionφ:Q→Aut NdρLabelID
C8⋊(C3×Q8) = C3×C8⋊Q8φ: C3×Q8/C6 → C22 ⊆ Aut C8192C8:(C3xQ8)192,934
C8⋊2(C3×Q8) = C3×C8⋊2Q8φ: C3×Q8/C12 → C2 ⊆ Aut C8192C8:2(C3xQ8)192,933
C8⋊3(C3×Q8) = C3×C8⋊3Q8φ: C3×Q8/C12 → C2 ⊆ Aut C8192C8:3(C3xQ8)192,931
C8⋊4(C3×Q8) = C3×C8⋊4Q8φ: C3×Q8/C12 → C2 ⊆ Aut C8192C8:4(C3xQ8)192,879

Non-split extensions G=N.Q with N=C8 and Q=C3×Q8
extensionφ:Q→Aut NdρLabelID
C8.(C3×Q8) = C3×C8.Q8φ: C3×Q8/C6 → C22 ⊆ Aut C8484C8.(C3xQ8)192,171
C8.2(C3×Q8) = C3×C16⋊3C4φ: C3×Q8/C12 → C2 ⊆ Aut C8192C8.2(C3xQ8)192,172
C8.3(C3×Q8) = C3×C16⋊4C4φ: C3×Q8/C12 → C2 ⊆ Aut C8192C8.3(C3xQ8)192,173
C8.4(C3×Q8) = C3×C8.5Q8φ: C3×Q8/C12 → C2 ⊆ Aut C8192C8.4(C3xQ8)192,932
C8.5(C3×Q8) = C3×C8.4Q8φ: C3×Q8/C12 → C2 ⊆ Aut C8962C8.5(C3xQ8)192,174
C8.6(C3×Q8) = C3×C8.C8φ: C3×Q8/C12 → C2 ⊆ Aut C8482C8.6(C3xQ8)192,170
C8.7(C3×Q8) = C3×C4⋊C16central extension (φ=1)192C8.7(C3xQ8)192,169

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