# Extensions 1→N→G→Q→1 with N=C6 and Q=C22×C6

Direct product G=N×Q with N=C6 and Q=C22×C6
dρLabelID
C22×C62144C2^2xC6^2144,197

Semidirect products G=N:Q with N=C6 and Q=C22×C6
extensionφ:Q→Aut NdρLabelID
C6⋊(C22×C6) = S3×C22×C6φ: C22×C6/C2×C6C2 ⊆ Aut C648C6:(C2^2xC6)144,195

Non-split extensions G=N.Q with N=C6 and Q=C22×C6
extensionφ:Q→Aut NdρLabelID
C6.1(C22×C6) = C6×Dic6φ: C22×C6/C2×C6C2 ⊆ Aut C648C6.1(C2^2xC6)144,158
C6.2(C22×C6) = S3×C2×C12φ: C22×C6/C2×C6C2 ⊆ Aut C648C6.2(C2^2xC6)144,159
C6.3(C22×C6) = C6×D12φ: C22×C6/C2×C6C2 ⊆ Aut C648C6.3(C2^2xC6)144,160
C6.4(C22×C6) = C3×C4○D12φ: C22×C6/C2×C6C2 ⊆ Aut C6242C6.4(C2^2xC6)144,161
C6.5(C22×C6) = C3×S3×D4φ: C22×C6/C2×C6C2 ⊆ Aut C6244C6.5(C2^2xC6)144,162
C6.6(C22×C6) = C3×D42S3φ: C22×C6/C2×C6C2 ⊆ Aut C6244C6.6(C2^2xC6)144,163
C6.7(C22×C6) = C3×S3×Q8φ: C22×C6/C2×C6C2 ⊆ Aut C6484C6.7(C2^2xC6)144,164
C6.8(C22×C6) = C3×Q83S3φ: C22×C6/C2×C6C2 ⊆ Aut C6484C6.8(C2^2xC6)144,165
C6.9(C22×C6) = Dic3×C2×C6φ: C22×C6/C2×C6C2 ⊆ Aut C648C6.9(C2^2xC6)144,166
C6.10(C22×C6) = C6×C3⋊D4φ: C22×C6/C2×C6C2 ⊆ Aut C624C6.10(C2^2xC6)144,167
C6.11(C22×C6) = D4×C18central extension (φ=1)72C6.11(C2^2xC6)144,48
C6.12(C22×C6) = Q8×C18central extension (φ=1)144C6.12(C2^2xC6)144,49
C6.13(C22×C6) = C9×C4○D4central extension (φ=1)722C6.13(C2^2xC6)144,50
C6.14(C22×C6) = D4×C3×C6central extension (φ=1)72C6.14(C2^2xC6)144,179
C6.15(C22×C6) = Q8×C3×C6central extension (φ=1)144C6.15(C2^2xC6)144,180
C6.16(C22×C6) = C32×C4○D4central extension (φ=1)72C6.16(C2^2xC6)144,181

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