# Extensions 1→N→G→Q→1 with N=D4×C32 and Q=C22

Direct product G=N×Q with N=D4×C32 and Q=C22
dρLabelID
D4×C62144D4xC6^2288,1019

Semidirect products G=N:Q with N=D4×C32 and Q=C22
extensionφ:Q→Out NdρLabelID
(D4×C32)⋊1C22 = S3×D4⋊S3φ: C22/C1C22 ⊆ Out D4×C32488+(D4xC3^2):1C2^2288,572
(D4×C32)⋊2C22 = Dic63D6φ: C22/C1C22 ⊆ Out D4×C32488+(D4xC3^2):2C2^2288,573
(D4×C32)⋊3C22 = D12⋊D6φ: C22/C1C22 ⊆ Out D4×C32248+(D4xC3^2):3C2^2288,574
(D4×C32)⋊4C22 = D12.D6φ: C22/C1C22 ⊆ Out D4×C32488-(D4xC3^2):4C2^2288,575
(D4×C32)⋊5C22 = C3×S3×D8φ: C22/C1C22 ⊆ Out D4×C32484(D4xC3^2):5C2^2288,681
(D4×C32)⋊6C22 = C3×D8⋊S3φ: C22/C1C22 ⊆ Out D4×C32484(D4xC3^2):6C2^2288,682
(D4×C32)⋊7C22 = D8×C3⋊S3φ: C22/C1C22 ⊆ Out D4×C3272(D4xC3^2):7C2^2288,767
(D4×C32)⋊8C22 = C248D6φ: C22/C1C22 ⊆ Out D4×C3272(D4xC3^2):8C2^2288,768
(D4×C32)⋊9C22 = S32×D4φ: C22/C1C22 ⊆ Out D4×C32248+(D4xC3^2):9C2^2288,958
(D4×C32)⋊10C22 = S3×D42S3φ: C22/C1C22 ⊆ Out D4×C32488-(D4xC3^2):10C2^2288,959
(D4×C32)⋊11C22 = Dic612D6φ: C22/C1C22 ⊆ Out D4×C32248+(D4xC3^2):11C2^2288,960
(D4×C32)⋊12C22 = D1212D6φ: C22/C1C22 ⊆ Out D4×C32488-(D4xC3^2):12C2^2288,961
(D4×C32)⋊13C22 = D1213D6φ: C22/C1C22 ⊆ Out D4×C32248+(D4xC3^2):13C2^2288,962
(D4×C32)⋊14C22 = C6×D4⋊S3φ: C22/C2C2 ⊆ Out D4×C3248(D4xC3^2):14C2^2288,702
(D4×C32)⋊15C22 = C3×D4⋊D6φ: C22/C2C2 ⊆ Out D4×C32484(D4xC3^2):15C2^2288,720
(D4×C32)⋊16C22 = C2×C327D8φ: C22/C2C2 ⊆ Out D4×C32144(D4xC3^2):16C2^2288,788
(D4×C32)⋊17C22 = C62.73D4φ: C22/C2C2 ⊆ Out D4×C3272(D4xC3^2):17C2^2288,806
(D4×C32)⋊18C22 = S3×C6×D4φ: C22/C2C2 ⊆ Out D4×C3248(D4xC3^2):18C2^2288,992
(D4×C32)⋊19C22 = C6×D42S3φ: C22/C2C2 ⊆ Out D4×C3248(D4xC3^2):19C2^2288,993
(D4×C32)⋊20C22 = C3×D46D6φ: C22/C2C2 ⊆ Out D4×C32244(D4xC3^2):20C2^2288,994
(D4×C32)⋊21C22 = C3×S3×C4○D4φ: C22/C2C2 ⊆ Out D4×C32484(D4xC3^2):21C2^2288,998
(D4×C32)⋊22C22 = C3×D4○D12φ: C22/C2C2 ⊆ Out D4×C32484(D4xC3^2):22C2^2288,999
(D4×C32)⋊23C22 = C2×D4×C3⋊S3φ: C22/C2C2 ⊆ Out D4×C3272(D4xC3^2):23C2^2288,1007
(D4×C32)⋊24C22 = C2×C12.D6φ: C22/C2C2 ⊆ Out D4×C32144(D4xC3^2):24C2^2288,1008
(D4×C32)⋊25C22 = C3282+ 1+4φ: C22/C2C2 ⊆ Out D4×C3272(D4xC3^2):25C2^2288,1009
(D4×C32)⋊26C22 = C4○D4×C3⋊S3φ: C22/C2C2 ⊆ Out D4×C3272(D4xC3^2):26C2^2288,1013
(D4×C32)⋊27C22 = C62.154C23φ: C22/C2C2 ⊆ Out D4×C3272(D4xC3^2):27C2^2288,1014
(D4×C32)⋊28C22 = D8×C3×C6φ: C22/C2C2 ⊆ Out D4×C32144(D4xC3^2):28C2^2288,829
(D4×C32)⋊29C22 = C32×C8⋊C22φ: C22/C2C2 ⊆ Out D4×C3272(D4xC3^2):29C2^2288,833
(D4×C32)⋊30C22 = C4○D4×C3×C6φ: trivial image144(D4xC3^2):30C2^2288,1021
(D4×C32)⋊31C22 = C32×2+ 1+4φ: trivial image72(D4xC3^2):31C2^2288,1022

Non-split extensions G=N.Q with N=D4×C32 and Q=C22
extensionφ:Q→Out NdρLabelID
(D4×C32).1C22 = S3×D4.S3φ: C22/C1C22 ⊆ Out D4×C32488-(D4xC3^2).1C2^2288,576
(D4×C32).2C22 = Dic6.19D6φ: C22/C1C22 ⊆ Out D4×C32488-(D4xC3^2).2C2^2288,577
(D4×C32).3C22 = Dic6⋊D6φ: C22/C1C22 ⊆ Out D4×C32248+(D4xC3^2).3C2^2288,578
(D4×C32).4C22 = Dic6.D6φ: C22/C1C22 ⊆ Out D4×C32488-(D4xC3^2).4C2^2288,579
(D4×C32).5C22 = D129D6φ: C22/C1C22 ⊆ Out D4×C32488-(D4xC3^2).5C2^2288,580
(D4×C32).6C22 = D12.22D6φ: C22/C1C22 ⊆ Out D4×C32488-(D4xC3^2).6C2^2288,581
(D4×C32).7C22 = D12.7D6φ: C22/C1C22 ⊆ Out D4×C32488+(D4xC3^2).7C2^2288,582
(D4×C32).8C22 = Dic6.20D6φ: C22/C1C22 ⊆ Out D4×C32488+(D4xC3^2).8C2^2288,583
(D4×C32).9C22 = D12.8D6φ: C22/C1C22 ⊆ Out D4×C32488-(D4xC3^2).9C2^2288,584
(D4×C32).10C22 = D125D6φ: C22/C1C22 ⊆ Out D4×C32248+(D4xC3^2).10C2^2288,585
(D4×C32).11C22 = C3×D83S3φ: C22/C1C22 ⊆ Out D4×C32484(D4xC3^2).11C2^2288,683
(D4×C32).12C22 = C3×S3×SD16φ: C22/C1C22 ⊆ Out D4×C32484(D4xC3^2).12C2^2288,684
(D4×C32).13C22 = C3×Q83D6φ: C22/C1C22 ⊆ Out D4×C32484(D4xC3^2).13C2^2288,685
(D4×C32).14C22 = C3×D4.D6φ: C22/C1C22 ⊆ Out D4×C32484(D4xC3^2).14C2^2288,686
(D4×C32).15C22 = C3×Q8.7D6φ: C22/C1C22 ⊆ Out D4×C32484(D4xC3^2).15C2^2288,687
(D4×C32).16C22 = C24.26D6φ: C22/C1C22 ⊆ Out D4×C32144(D4xC3^2).16C2^2288,769
(D4×C32).17C22 = SD16×C3⋊S3φ: C22/C1C22 ⊆ Out D4×C3272(D4xC3^2).17C2^2288,770
(D4×C32).18C22 = C247D6φ: C22/C1C22 ⊆ Out D4×C3272(D4xC3^2).18C2^2288,771
(D4×C32).19C22 = C24.32D6φ: C22/C1C22 ⊆ Out D4×C32144(D4xC3^2).19C2^2288,772
(D4×C32).20C22 = C24.40D6φ: C22/C1C22 ⊆ Out D4×C32144(D4xC3^2).20C2^2288,773
(D4×C32).21C22 = Dic6.24D6φ: C22/C1C22 ⊆ Out D4×C32488-(D4xC3^2).21C2^2288,957
(D4×C32).22C22 = C3×D126C22φ: C22/C2C2 ⊆ Out D4×C32244(D4xC3^2).22C2^2288,703
(D4×C32).23C22 = C6×D4.S3φ: C22/C2C2 ⊆ Out D4×C3248(D4xC3^2).23C2^2288,704
(D4×C32).24C22 = C3×Q8.13D6φ: C22/C2C2 ⊆ Out D4×C32484(D4xC3^2).24C2^2288,721
(D4×C32).25C22 = C3×Q8.14D6φ: C22/C2C2 ⊆ Out D4×C32484(D4xC3^2).25C2^2288,722
(D4×C32).26C22 = C62.131D4φ: C22/C2C2 ⊆ Out D4×C3272(D4xC3^2).26C2^2288,789
(D4×C32).27C22 = C2×C329SD16φ: C22/C2C2 ⊆ Out D4×C32144(D4xC3^2).27C2^2288,790
(D4×C32).28C22 = C62.74D4φ: C22/C2C2 ⊆ Out D4×C32144(D4xC3^2).28C2^2288,807
(D4×C32).29C22 = C62.75D4φ: C22/C2C2 ⊆ Out D4×C32144(D4xC3^2).29C2^2288,808
(D4×C32).30C22 = C3×Q8○D12φ: C22/C2C2 ⊆ Out D4×C32484(D4xC3^2).30C2^2288,1000
(D4×C32).31C22 = C3292- 1+4φ: C22/C2C2 ⊆ Out D4×C32144(D4xC3^2).31C2^2288,1015
(D4×C32).32C22 = SD16×C3×C6φ: C22/C2C2 ⊆ Out D4×C32144(D4xC3^2).32C2^2288,830
(D4×C32).33C22 = C32×C4○D8φ: C22/C2C2 ⊆ Out D4×C32144(D4xC3^2).33C2^2288,832
(D4×C32).34C22 = C32×C8.C22φ: C22/C2C2 ⊆ Out D4×C32144(D4xC3^2).34C2^2288,834
(D4×C32).35C22 = C32×2- 1+4φ: trivial image144(D4xC3^2).35C2^2288,1023

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