# Extensions 1→N→G→Q→1 with N=C8 and Q=C2×C22

Direct product G=N×Q with N=C8 and Q=C2×C22
dρLabelID
C22×C88352C2^2xC88352,164

Semidirect products G=N:Q with N=C8 and Q=C2×C22
extensionφ:Q→Aut NdρLabelID
C8⋊(C2×C22) = C11×C8⋊C22φ: C2×C22/C11C22 ⊆ Aut C8884C8:(C2xC22)352,171
C82(C2×C22) = D8×C22φ: C2×C22/C22C2 ⊆ Aut C8176C8:2(C2xC22)352,167
C83(C2×C22) = SD16×C22φ: C2×C22/C22C2 ⊆ Aut C8176C8:3(C2xC22)352,168
C84(C2×C22) = M4(2)×C22φ: C2×C22/C22C2 ⊆ Aut C8176C8:4(C2xC22)352,165

Non-split extensions G=N.Q with N=C8 and Q=C2×C22
extensionφ:Q→Aut NdρLabelID
C8.(C2×C22) = C11×C8.C22φ: C2×C22/C11C22 ⊆ Aut C81764C8.(C2xC22)352,172
C8.2(C2×C22) = C11×D16φ: C2×C22/C22C2 ⊆ Aut C81762C8.2(C2xC22)352,60
C8.3(C2×C22) = C11×SD32φ: C2×C22/C22C2 ⊆ Aut C81762C8.3(C2xC22)352,61
C8.4(C2×C22) = C11×Q32φ: C2×C22/C22C2 ⊆ Aut C83522C8.4(C2xC22)352,62
C8.5(C2×C22) = Q16×C22φ: C2×C22/C22C2 ⊆ Aut C8352C8.5(C2xC22)352,169
C8.6(C2×C22) = C11×C4○D8φ: C2×C22/C22C2 ⊆ Aut C81762C8.6(C2xC22)352,170
C8.7(C2×C22) = C11×C8○D4φ: C2×C22/C22C2 ⊆ Aut C81762C8.7(C2xC22)352,166
C8.8(C2×C22) = C11×M5(2)central extension (φ=1)1762C8.8(C2xC22)352,59

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