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Extensions 1→N→G→Q→1 with N=C16 and Q=C2×C4

Direct product G=N×Q with N=C16 and Q=C2×C4
dρLabelID
C2×C4×C16128C2xC4xC16128,837

Semidirect products G=N:Q with N=C16 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C16⋊(C2×C4) = D16⋊C4φ: C2×C4/C1 → C2×C4 ⊆ Aut C16168+C16:(C2xC4)128,913
C16⋊2(C2×C4) = C2×C8.Q8φ: C2×C4/C2 → C4 ⊆ Aut C1632C16:2(C2xC4)128,886
C16⋊3(C2×C4) = C2×C16⋊C4φ: C2×C4/C2 → C4 ⊆ Aut C1632C16:3(C2xC4)128,841
C16⋊4(C2×C4) = M5(2)⋊1C4φ: C2×C4/C2 → C22 ⊆ Aut C1664C16:4(C2xC4)128,891
C16⋊5(C2×C4) = SD32⋊3C4φ: C2×C4/C2 → C22 ⊆ Aut C1664C16:5(C2xC4)128,907
C16⋊6(C2×C4) = D16⋊4C4φ: C2×C4/C2 → C22 ⊆ Aut C1664C16:6(C2xC4)128,909
C16⋊7(C2×C4) = C4×D16φ: C2×C4/C4 → C2 ⊆ Aut C1664C16:7(C2xC4)128,904
C16⋊8(C2×C4) = C4×SD32φ: C2×C4/C4 → C2 ⊆ Aut C1664C16:8(C2xC4)128,905
C16⋊9(C2×C4) = C4×M5(2)φ: C2×C4/C4 → C2 ⊆ Aut C1664C16:9(C2xC4)128,839
C16⋊10(C2×C4) = C2×C16⋊3C4φ: C2×C4/C22 → C2 ⊆ Aut C16128C16:10(C2xC4)128,888
C16⋊11(C2×C4) = C2×C16⋊4C4φ: C2×C4/C22 → C2 ⊆ Aut C16128C16:11(C2xC4)128,889
C16⋊12(C2×C4) = C2×C16⋊5C4φ: C2×C4/C22 → C2 ⊆ Aut C16128C16:12(C2xC4)128,838

Non-split extensions G=N.Q with N=C16 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C16.(C2×C4) = Q32⋊C4φ: C2×C4/C1 → C2×C4 ⊆ Aut C16328-C16.(C2xC4)128,912
C16.2(C2×C4) = M5(2)⋊3C4φ: C2×C4/C2 → C4 ⊆ Aut C16324C16.2(C2xC4)128,887
C16.3(C2×C4) = C8.23C42φ: C2×C4/C2 → C4 ⊆ Aut C16324C16.3(C2xC4)128,842
C16.4(C2×C4) = D16⋊3C4φ: C2×C4/C2 → C22 ⊆ Aut C16324C16.4(C2xC4)128,150
C16.5(C2×C4) = M6(2)⋊C2φ: C2×C4/C2 → C22 ⊆ Aut C16324+C16.5(C2xC4)128,151
C16.6(C2×C4) = C16.18D4φ: C2×C4/C2 → C22 ⊆ Aut C16644-C16.6(C2xC4)128,152
C16.7(C2×C4) = M5(2).1C4φ: C2×C4/C2 → C22 ⊆ Aut C16324C16.7(C2xC4)128,893
C16.8(C2×C4) = Q32⋊4C4φ: C2×C4/C2 → C22 ⊆ Aut C16128C16.8(C2xC4)128,908
C16.9(C2×C4) = D16⋊5C4φ: C2×C4/C2 → C22 ⊆ Aut C16324C16.9(C2xC4)128,911
C16.10(C2×C4) = D16⋊2C4φ: C2×C4/C4 → C2 ⊆ Aut C1664C16.10(C2xC4)128,147
C16.11(C2×C4) = Q32⋊2C4φ: C2×C4/C4 → C2 ⊆ Aut C16128C16.11(C2xC4)128,148
C16.12(C2×C4) = D16.C4φ: C2×C4/C4 → C2 ⊆ Aut C16642C16.12(C2xC4)128,149
C16.13(C2×C4) = C4×Q32φ: C2×C4/C4 → C2 ⊆ Aut C16128C16.13(C2xC4)128,906
C16.14(C2×C4) = C8○D16φ: C2×C4/C4 → C2 ⊆ Aut C16322C16.14(C2xC4)128,910
C16.15(C2×C4) = D4○C32φ: C2×C4/C4 → C2 ⊆ Aut C16642C16.15(C2xC4)128,990
C16.16(C2×C4) = C32⋊3C4φ: C2×C4/C22 → C2 ⊆ Aut C16128C16.16(C2xC4)128,155
C16.17(C2×C4) = C32⋊4C4φ: C2×C4/C22 → C2 ⊆ Aut C16128C16.17(C2xC4)128,156
C16.18(C2×C4) = C32.C4φ: C2×C4/C22 → C2 ⊆ Aut C16642C16.18(C2xC4)128,157
C16.19(C2×C4) = C8.Q16φ: C2×C4/C22 → C2 ⊆ Aut C16324C16.19(C2xC4)128,158
C16.20(C2×C4) = C23.25D8φ: C2×C4/C22 → C2 ⊆ Aut C1664C16.20(C2xC4)128,890
C16.21(C2×C4) = C2×C8.4Q8φ: C2×C4/C22 → C2 ⊆ Aut C1664C16.21(C2xC4)128,892
C16.22(C2×C4) = C32⋊C4φ: C2×C4/C22 → C2 ⊆ Aut C16324C16.22(C2xC4)128,130
C16.23(C2×C4) = C2×M6(2)φ: C2×C4/C22 → C2 ⊆ Aut C1664C16.23(C2xC4)128,989
C16.24(C2×C4) = C32⋊5C4central extension (φ=1)128C16.24(C2xC4)128,129
C16.25(C2×C4) = M7(2)central extension (φ=1)642C16.25(C2xC4)128,160
C16.26(C2×C4) = C16○2M5(2)central extension (φ=1)64C16.26(C2xC4)128,840

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