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Extensions 1→N→G→Q→1 with N=C22×C16 and Q=C2

Direct product G=N×Q with N=C22×C16 and Q=C2
dρLabelID
C23×C16128C2^3xC16128,2136

Semidirect products G=N:Q with N=C22×C16 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22×C16)⋊1C2 = C2×C22⋊C16φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16):1C2128,843
(C22×C16)⋊2C2 = (C2×D4).5C8φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16):2C2128,845
(C22×C16)⋊3C2 = C2×D4.C8φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16):3C2128,848
(C22×C16)⋊4C2 = C2×C2.D16φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16):4C2128,868
(C22×C16)⋊5C2 = C23.24D8φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16):5C2128,870
(C22×C16)⋊6C2 = C2×D8.C4φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16):6C2128,874
(C22×C16)⋊7C2 = D4×C16φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16):7C2128,899
(C22×C16)⋊8C2 = C16⋊7D4φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16):8C2128,947
(C22×C16)⋊9C2 = C22×D16φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16):9C2128,2140
(C22×C16)⋊10C2 = C2×C4○D16φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16):10C2128,2143
(C22×C16)⋊11C2 = C16⋊8D4φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16):11C2128,949
(C22×C16)⋊12C2 = C22×SD32φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16):12C2128,2141
(C22×C16)⋊13C2 = C16⋊9D4φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16):13C2128,900
(C22×C16)⋊14C2 = C22×M5(2)φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16):14C2128,2137
(C22×C16)⋊15C2 = C2×D4○C16φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16):15C2128,2138

Non-split extensions G=N.Q with N=C22×C16 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22×C16).1C2 = C22.7M5(2)φ: C2/C1 → C2 ⊆ Aut C22×C16128(C2^2xC16).1C2128,106
(C22×C16).2C2 = M5(2)⋊7C4φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16).2C2128,111
(C22×C16).3C2 = C8.7C42φ: C2/C1 → C2 ⊆ Aut C22×C16128(C2^2xC16).3C2128,112
(C22×C16).4C2 = C8.8C42φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16).4C2128,113
(C22×C16).5C2 = C8.9C42φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16).5C2128,114
(C22×C16).6C2 = C22⋊C32φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16).6C2128,131
(C22×C16).7C2 = C2×C2.Q32φ: C2/C1 → C2 ⊆ Aut C22×C16128(C2^2xC16).7C2128,869
(C22×C16).8C2 = C2×C4⋊C16φ: C2/C1 → C2 ⊆ Aut C22×C16128(C2^2xC16).8C2128,881
(C22×C16).9C2 = C4⋊C4.7C8φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16).9C2128,883
(C22×C16).10C2 = C2×C16⋊3C4φ: C2/C1 → C2 ⊆ Aut C22×C16128(C2^2xC16).10C2128,888
(C22×C16).11C2 = C16.19D4φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16).11C2128,948
(C22×C16).12C2 = C22×Q32φ: C2/C1 → C2 ⊆ Aut C22×C16128(C2^2xC16).12C2128,2142
(C22×C16).13C2 = C23.25D8φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16).13C2128,890
(C22×C16).14C2 = C2×C8.4Q8φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16).14C2128,892
(C22×C16).15C2 = C2×C16⋊4C4φ: C2/C1 → C2 ⊆ Aut C22×C16128(C2^2xC16).15C2128,889
(C22×C16).16C2 = C2×C16⋊5C4φ: C2/C1 → C2 ⊆ Aut C22×C16128(C2^2xC16).16C2128,838
(C22×C16).17C2 = C16○2M5(2)φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16).17C2128,840
(C22×C16).18C2 = C2×M6(2)φ: C2/C1 → C2 ⊆ Aut C22×C1664(C2^2xC16).18C2128,989

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