Extensions 1→N→G→Q→1 with N=Q8 and Q=C3×C18

Direct product G=N×Q with N=Q8 and Q=C3×C18

Semidirect products G=N:Q with N=Q8 and Q=C3×C18
extensionφ:Q→Out NdρLabelID
Q81(C3×C18) = C18×SL2(𝔽3)φ: C3×C18/C18C3 ⊆ Out Q8144Q8:1(C3xC18)432,327
Q82(C3×C18) = C6×Q8⋊C9φ: C3×C18/C3×C6C3 ⊆ Out Q8432Q8:2(C3xC18)432,334
Q83(C3×C18) = SD16×C3×C9φ: C3×C18/C3×C9C2 ⊆ Out Q8216Q8:3(C3xC18)432,218
Q84(C3×C18) = C4○D4×C3×C9φ: trivial image216Q8:4(C3xC18)432,409

Non-split extensions G=N.Q with N=Q8 and Q=C3×C18
extensionφ:Q→Out NdρLabelID
Q8.1(C3×C18) = C9×C4.A4φ: C3×C18/C18C3 ⊆ Out Q81442Q8.1(C3xC18)432,329
Q8.2(C3×C18) = C3×Q8.C18φ: C3×C18/C3×C6C3 ⊆ Out Q8216Q8.2(C3xC18)432,337
Q8.3(C3×C18) = Q16×C3×C9φ: C3×C18/C3×C9C2 ⊆ Out Q8432Q8.3(C3xC18)432,221