Extensions 1→N→G→Q→1 with N=C2xC8:C22 and Q=C2

Direct product G=NxQ with N=C2xC8:C22 and Q=C2
dρLabelID
C22xC8:C2232C2^2xC8:C2^2128,2310

Semidirect products G=N:Q with N=C2xC8:C22 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC8:C22):1C2 = C42:9D4φ: C2/C1C2 ⊆ Out C2xC8:C2216(C2xC8:C2^2):1C2128,734
(C2xC8:C22):2C2 = M4(2):D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):2C2128,738
(C2xC8:C22):3C2 = M4(2):5D4φ: C2/C1C2 ⊆ Out C2xC8:C22168+(C2xC8:C2^2):3C2128,740
(C2xC8:C22):4C2 = M4(2).4D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):4C2128,750
(C2xC8:C22):5C2 = C24.177D4φ: C2/C1C2 ⊆ Out C2xC8:C2216(C2xC8:C2^2):5C2128,1735
(C2xC8:C22):6C2 = C24.104D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):6C2128,1737
(C2xC8:C22):7C2 = C24.105D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):7C2128,1738
(C2xC8:C22):8C2 = C4oD4:D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):8C2128,1740
(C2xC8:C22):9C2 = (C2xQ8):16D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):9C2128,1742
(C2xC8:C22):10C2 = (C2xD4):21D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):10C2128,1744
(C2xC8:C22):11C2 = C2xD4:4D4φ: C2/C1C2 ⊆ Out C2xC8:C2216(C2xC8:C2^2):11C2128,1746
(C2xC8:C22):12C2 = C2xD4.8D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):12C2128,1748
(C2xC8:C22):13C2 = C42.12C23φ: C2/C1C2 ⊆ Out C2xC8:C22168+(C2xC8:C2^2):13C2128,1753
(C2xC8:C22):14C2 = C42.211D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):14C2128,1768
(C2xC8:C22):15C2 = C42.444D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):15C2128,1770
(C2xC8:C22):16C2 = C42.14C23φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):16C2128,1773
(C2xC8:C22):17C2 = C42.18C23φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):17C2128,1777
(C2xC8:C22):18C2 = M4(2):14D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):18C2128,1787
(C2xC8:C22):19C2 = M4(2):16D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):19C2128,1794
(C2xC8:C22):20C2 = C2xD4.4D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):20C2128,1797
(C2xC8:C22):21C2 = M4(2).37D4φ: C2/C1C2 ⊆ Out C2xC8:C22168+(C2xC8:C2^2):21C2128,1800
(C2xC8:C22):22C2 = M4(2):7D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):22C2128,1883
(C2xC8:C22):23C2 = M4(2):9D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):23C2128,1885
(C2xC8:C22):24C2 = M4(2):10D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):24C2128,1886
(C2xC8:C22):25C2 = M4(2):11D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):25C2128,1887
(C2xC8:C22):26C2 = D8:9D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):26C2128,1996
(C2xC8:C22):27C2 = SD16:D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):27C2128,1997
(C2xC8:C22):28C2 = D8:10D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):28C2128,1999
(C2xC8:C22):29C2 = SD16:7D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):29C2128,2000
(C2xC8:C22):30C2 = D8:4D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):30C2128,2004
(C2xC8:C22):31C2 = D8:5D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):31C2128,2005
(C2xC8:C22):32C2 = SD16:1D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):32C2128,2006
(C2xC8:C22):33C2 = SD16:2D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):33C2128,2007
(C2xC8:C22):34C2 = C2xD4oD8φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):34C2128,2313
(C2xC8:C22):35C2 = C2xD4oSD16φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2):35C2128,2314
(C2xC8:C22):36C2 = D8:C23φ: C2/C1C2 ⊆ Out C2xC8:C22168+(C2xC8:C2^2):36C2128,2317
(C2xC8:C22):37C2 = C2xD8:C22φ: trivial image32(C2xC8:C2^2):37C2128,2312

Non-split extensions G=N.Q with N=C2xC8:C22 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC8:C22).1C2 = C8:C22:C4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2).1C2128,615
(C2xC8:C22).2C2 = M4(2).47D4φ: C2/C1C2 ⊆ Out C2xC8:C22168+(C2xC8:C2^2).2C2128,635
(C2xC8:C22).3C2 = C42.5D4φ: C2/C1C2 ⊆ Out C2xC8:C22168+(C2xC8:C2^2).3C2128,636
(C2xC8:C22).4C2 = M4(2).48D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2).4C2128,639
(C2xC8:C22).5C2 = C42.129D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2).5C2128,735
(C2xC8:C22).6C2 = M4(2).5D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2).6C2128,751
(C2xC8:C22).7C2 = M4(2).8D4φ: C2/C1C2 ⊆ Out C2xC8:C22168+(C2xC8:C2^2).7C2128,780
(C2xC8:C22).8C2 = M4(2).10D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2).8C2128,783
(C2xC8:C22).9C2 = C42.275C23φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2).9C2128,1678
(C2xC8:C22).10C2 = C42.446D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2).10C2128,1772
(C2xC8:C22).11C2 = C42.15C23φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2).11C2128,1774
(C2xC8:C22).12C2 = C2xD4.3D4φ: C2/C1C2 ⊆ Out C2xC8:C2232(C2xC8:C2^2).12C2128,1796
(C2xC8:C22).13C2 = C4xC8:C22φ: trivial image32(C2xC8:C2^2).13C2128,1676

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