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Extensions 1→N→G→Q→1 with N=C2×SD16 and Q=C4

Direct product G=N×Q with N=C2×SD16 and Q=C4
dρLabelID
C2×C4×SD1664C2xC4xSD16128,1669

Semidirect products G=N:Q with N=C2×SD16 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×SD16)⋊1C4 = M4(2).46D4φ: C4/C1 → C4 ⊆ Out C2×SD16328-(C2xSD16):1C4128,634
(C2×SD16)⋊2C4 = M4(2).47D4φ: C4/C1 → C4 ⊆ Out C2×SD16168+(C2xSD16):2C4128,635
(C2×SD16)⋊3C4 = C42.5D4φ: C4/C1 → C4 ⊆ Out C2×SD16168+(C2xSD16):3C4128,636
(C2×SD16)⋊4C4 = C42.6D4φ: C4/C1 → C4 ⊆ Out C2×SD16328-(C2xSD16):4C4128,637
(C2×SD16)⋊5C4 = C8⋊(C22⋊C4)φ: C4/C2 → C2 ⊆ Out C2×SD1664(C2xSD16):5C4128,705
(C2×SD16)⋊6C4 = C42.116D4φ: C4/C2 → C2 ⊆ Out C2×SD1632(C2xSD16):6C4128,707
(C2×SD16)⋊7C4 = M4(2).30D4φ: C4/C2 → C2 ⊆ Out C2×SD16324(C2xSD16):7C4128,708
(C2×SD16)⋊8C4 = M4(2).31D4φ: C4/C2 → C2 ⊆ Out C2×SD1632(C2xSD16):8C4128,709
(C2×SD16)⋊9C4 = C2×SD16⋊C4φ: C4/C2 → C2 ⊆ Out C2×SD1664(C2xSD16):9C4128,1672
(C2×SD16)⋊10C4 = C42.278C23φ: C4/C2 → C2 ⊆ Out C2×SD1632(C2xSD16):10C4128,1681
(C2×SD16)⋊11C4 = C2×C8.26D4φ: C4/C2 → C2 ⊆ Out C2×SD1632(C2xSD16):11C4128,1686
(C2×SD16)⋊12C4 = M4(2)○D8φ: C4/C2 → C2 ⊆ Out C2×SD16324(C2xSD16):12C4128,1689
(C2×SD16)⋊13C4 = M4(2).43D4φ: C4/C2 → C2 ⊆ Out C2×SD1632(C2xSD16):13C4128,608
(C2×SD16)⋊14C4 = (C2×SD16)⋊14C4φ: C4/C2 → C2 ⊆ Out C2×SD1664(C2xSD16):14C4128,609
(C2×SD16)⋊15C4 = (C2×SD16)⋊15C4φ: C4/C2 → C2 ⊆ Out C2×SD1664(C2xSD16):15C4128,612
(C2×SD16)⋊16C4 = (C2×C4)⋊9SD16φ: C4/C2 → C2 ⊆ Out C2×SD1664(C2xSD16):16C4128,700
(C2×SD16)⋊17C4 = C42.326D4φ: C4/C2 → C2 ⊆ Out C2×SD1632(C2xSD16):17C4128,706
(C2×SD16)⋊18C4 = C2×C8○D8φ: trivial image32(C2xSD16):18C4128,1685

Non-split extensions G=N.Q with N=C2×SD16 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×SD16).1C4 = SD16⋊C8φ: C4/C2 → C2 ⊆ Out C2×SD1664(C2xSD16).1C4128,310
(C2×SD16).2C4 = C8⋊M4(2)φ: C4/C2 → C2 ⊆ Out C2×SD1664(C2xSD16).2C4128,324
(C2×SD16).3C4 = C8⋊12SD16φ: C4/C2 → C2 ⊆ Out C2×SD1664(C2xSD16).3C4128,314
(C2×SD16).4C4 = C8⋊15SD16φ: C4/C2 → C2 ⊆ Out C2×SD1664(C2xSD16).4C4128,315
(C2×SD16).5C4 = D4.M4(2)φ: C4/C2 → C2 ⊆ Out C2×SD1664(C2xSD16).5C4128,317
(C2×SD16).6C4 = Q8⋊2M4(2)φ: C4/C2 → C2 ⊆ Out C2×SD1664(C2xSD16).6C4128,320
(C2×SD16).7C4 = C8⋊9SD16φ: C4/C2 → C2 ⊆ Out C2×SD1664(C2xSD16).7C4128,322
(C2×SD16).8C4 = C8×SD16φ: trivial image64(C2xSD16).8C4128,308

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