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

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

Semidirect products G=N:Q with N=C4 and Q=C2×C16
extensionφ:Q→Aut NdρLabelID
C4⋊1(C2×C16) = D4×C16φ: C2×C16/C16 → C2 ⊆ Aut C464C4:1(C2xC16)128,899
C4⋊2(C2×C16) = C2×C4⋊C16φ: C2×C16/C2×C8 → C2 ⊆ Aut C4128C4:2(C2xC16)128,881

Non-split extensions G=N.Q with N=C4 and Q=C2×C16
extensionφ:Q→Aut NdρLabelID
C4.1(C2×C16) = D4⋊C16φ: C2×C16/C16 → C2 ⊆ Aut C464C4.1(C2xC16)128,61
C4.2(C2×C16) = Q8⋊C16φ: C2×C16/C16 → C2 ⊆ Aut C4128C4.2(C2xC16)128,69
C4.3(C2×C16) = D4.C16φ: C2×C16/C16 → C2 ⊆ Aut C4642C4.3(C2xC16)128,133
C4.4(C2×C16) = Q8×C16φ: C2×C16/C16 → C2 ⊆ Aut C4128C4.4(C2xC16)128,914
C4.5(C2×C16) = D4○C32φ: C2×C16/C16 → C2 ⊆ Aut C4642C4.5(C2xC16)128,990
C4.6(C2×C16) = C8⋊2C16φ: C2×C16/C2×C8 → C2 ⊆ Aut C4128C4.6(C2xC16)128,99
C4.7(C2×C16) = C8.36D8φ: C2×C16/C2×C8 → C2 ⊆ Aut C4128C4.7(C2xC16)128,102
C4.8(C2×C16) = C8.C16φ: C2×C16/C2×C8 → C2 ⊆ Aut C4322C4.8(C2xC16)128,154
C4.9(C2×C16) = C42.13C8φ: C2×C16/C2×C8 → C2 ⊆ Aut C464C4.9(C2xC16)128,894
C4.10(C2×C16) = C2×M6(2)φ: C2×C16/C2×C8 → C2 ⊆ Aut C464C4.10(C2xC16)128,989
C4.11(C2×C16) = C8⋊C16central extension (φ=1)128C4.11(C2xC16)128,44
C4.12(C2×C16) = C32⋊5C4central extension (φ=1)128C4.12(C2xC16)128,129
C4.13(C2×C16) = M7(2)central extension (φ=1)642C4.13(C2xC16)128,160

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