Extensions 1→N→G→Q→1 with N=C6 and Q=Q8×C9

Direct product G=N×Q with N=C6 and Q=Q8×C9
dρLabelID
Q8×C3×C18432Q8xC3xC18432,406

Semidirect products G=N:Q with N=C6 and Q=Q8×C9
extensionφ:Q→Aut NdρLabelID
C6⋊(Q8×C9) = C18×Dic6φ: Q8×C9/C36C2 ⊆ Aut C6144C6:(Q8xC9)432,341

Non-split extensions G=N.Q with N=C6 and Q=Q8×C9
extensionφ:Q→Aut NdρLabelID
C6.1(Q8×C9) = C9×Dic3⋊C4φ: Q8×C9/C36C2 ⊆ Aut C6144C6.1(Q8xC9)432,132
C6.2(Q8×C9) = C9×C4⋊Dic3φ: Q8×C9/C36C2 ⊆ Aut C6144C6.2(Q8xC9)432,133
C6.3(Q8×C9) = C4⋊C4×C27central extension (φ=1)432C6.3(Q8xC9)432,22
C6.4(Q8×C9) = Q8×C54central extension (φ=1)432C6.4(Q8xC9)432,55
C6.5(Q8×C9) = C4⋊C4×C3×C9central extension (φ=1)432C6.5(Q8xC9)432,206

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