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

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

Semidirect products G=N:Q with N=C2×C16 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C16)⋊1C4 = C2×C8.Q8φ: C4/C1C4 ⊆ Aut C2×C1632(C2xC16):1C4128,886
(C2×C16)⋊2C4 = M5(2)⋊3C4φ: C4/C1C4 ⊆ Aut C2×C16324(C2xC16):2C4128,887
(C2×C16)⋊3C4 = C42.2C8φ: C4/C1C4 ⊆ Aut C2×C1632(C2xC16):3C4128,107
(C2×C16)⋊4C4 = M4(2).C8φ: C4/C1C4 ⊆ Aut C2×C16324(C2xC16):4C4128,110
(C2×C16)⋊5C4 = C8.11C42φ: C4/C1C4 ⊆ Aut C2×C1632(C2xC16):5C4128,115
(C2×C16)⋊6C4 = C23.9D8φ: C4/C1C4 ⊆ Aut C2×C16324(C2xC16):6C4128,116
(C2×C16)⋊7C4 = C2×C16⋊C4φ: C4/C1C4 ⊆ Aut C2×C1632(C2xC16):7C4128,841
(C2×C16)⋊8C4 = C8.23C42φ: C4/C1C4 ⊆ Aut C2×C16324(C2xC16):8C4128,842
(C2×C16)⋊9C4 = C22.7M5(2)φ: C4/C2C2 ⊆ Aut C2×C16128(C2xC16):9C4128,106
(C2×C16)⋊10C4 = M5(2)⋊7C4φ: C4/C2C2 ⊆ Aut C2×C1664(C2xC16):10C4128,111
(C2×C16)⋊11C4 = C8.7C42φ: C4/C2C2 ⊆ Aut C2×C16128(C2xC16):11C4128,112
(C2×C16)⋊12C4 = C8.9C42φ: C4/C2C2 ⊆ Aut C2×C1664(C2xC16):12C4128,114
(C2×C16)⋊13C4 = C2×C163C4φ: C4/C2C2 ⊆ Aut C2×C16128(C2xC16):13C4128,888
(C2×C16)⋊14C4 = C23.25D8φ: C4/C2C2 ⊆ Aut C2×C1664(C2xC16):14C4128,890
(C2×C16)⋊15C4 = C2×C164C4φ: C4/C2C2 ⊆ Aut C2×C16128(C2xC16):15C4128,889
(C2×C16)⋊16C4 = C2×C165C4φ: C4/C2C2 ⊆ Aut C2×C16128(C2xC16):16C4128,838
(C2×C16)⋊17C4 = C162M5(2)φ: C4/C2C2 ⊆ Aut C2×C1664(C2xC16):17C4128,840

Non-split extensions G=N.Q with N=C2×C16 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C16).1C4 = C161C8φ: C4/C1C4 ⊆ Aut C2×C16128(C2xC16).1C4128,100
(C2×C16).2C4 = C16.C8φ: C4/C1C4 ⊆ Aut C2×C16324(C2xC16).2C4128,101
(C2×C16).3C4 = C16⋊C8φ: C4/C1C4 ⊆ Aut C2×C16128(C2xC16).3C4128,45
(C2×C16).4C4 = C8.13C42φ: C4/C1C4 ⊆ Aut C2×C16324(C2xC16).4C4128,117
(C2×C16).5C4 = C32⋊C4φ: C4/C1C4 ⊆ Aut C2×C16324(C2xC16).5C4128,130
(C2×C16).6C4 = C23.C16φ: C4/C1C4 ⊆ Aut C2×C16324(C2xC16).6C4128,132
(C2×C16).7C4 = C8⋊C16φ: C4/C2C2 ⊆ Aut C2×C16128(C2xC16).7C4128,44
(C2×C16).8C4 = C8.8C42φ: C4/C2C2 ⊆ Aut C2×C1664(C2xC16).8C4128,113
(C2×C16).9C4 = C22⋊C32φ: C4/C2C2 ⊆ Aut C2×C1664(C2xC16).9C4128,131
(C2×C16).10C4 = C4⋊C32φ: C4/C2C2 ⊆ Aut C2×C16128(C2xC16).10C4128,153
(C2×C16).11C4 = C8.C16φ: C4/C2C2 ⊆ Aut C2×C16322(C2xC16).11C4128,154
(C2×C16).12C4 = C163C8φ: C4/C2C2 ⊆ Aut C2×C16128(C2xC16).12C4128,103
(C2×C16).13C4 = C16.3C8φ: C4/C2C2 ⊆ Aut C2×C16322(C2xC16).13C4128,105
(C2×C16).14C4 = C2×C8.4Q8φ: C4/C2C2 ⊆ Aut C2×C1664(C2xC16).14C4128,892
(C2×C16).15C4 = C164C8φ: C4/C2C2 ⊆ Aut C2×C16128(C2xC16).15C4128,104
(C2×C16).16C4 = C165C8φ: C4/C2C2 ⊆ Aut C2×C16128(C2xC16).16C4128,43
(C2×C16).17C4 = C325C4φ: C4/C2C2 ⊆ Aut C2×C16128(C2xC16).17C4128,129
(C2×C16).18C4 = M7(2)φ: C4/C2C2 ⊆ Aut C2×C16642(C2xC16).18C4128,160
(C2×C16).19C4 = C2×M6(2)φ: C4/C2C2 ⊆ Aut C2×C1664(C2xC16).19C4128,989

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