# Extensions 1→N→G→Q→1 with N=D4×C32 and Q=S3

Direct product G=N×Q with N=D4×C32 and Q=S3
dρLabelID
S3×D4×C3272S3xD4xC3^2432,704

Semidirect products G=N:Q with N=D4×C32 and Q=S3
extensionφ:Q→Out NdρLabelID
(D4×C32)⋊1S3 = He36D8φ: S3/C1S3 ⊆ Out D4×C327212+(D4xC3^2):1S3432,153
(D4×C32)⋊2S3 = He37D8φ: S3/C1S3 ⊆ Out D4×C32726(D4xC3^2):2S3432,192
(D4×C32)⋊3S3 = D4×C32⋊C6φ: S3/C1S3 ⊆ Out D4×C323612+(D4xC3^2):3S3432,360
(D4×C32)⋊4S3 = C62.13D6φ: S3/C1S3 ⊆ Out D4×C327212-(D4xC3^2):4S3432,361
(D4×C32)⋊5S3 = D4×He3⋊C2φ: S3/C1S3 ⊆ Out D4×C32366(D4xC3^2):5S3432,390
(D4×C32)⋊6S3 = C62.16D6φ: S3/C1S3 ⊆ Out D4×C32726(D4xC3^2):6S3432,391
(D4×C32)⋊7S3 = C3×C327D8φ: S3/C3C2 ⊆ Out D4×C3272(D4xC3^2):7S3432,491
(D4×C32)⋊8S3 = C3315D8φ: S3/C3C2 ⊆ Out D4×C32216(D4xC3^2):8S3432,507
(D4×C32)⋊9S3 = C3×D4×C3⋊S3φ: S3/C3C2 ⊆ Out D4×C3272(D4xC3^2):9S3432,714
(D4×C32)⋊10S3 = C3×C12.D6φ: S3/C3C2 ⊆ Out D4×C3272(D4xC3^2):10S3432,715
(D4×C32)⋊11S3 = D4×C33⋊C2φ: S3/C3C2 ⊆ Out D4×C32108(D4xC3^2):11S3432,724
(D4×C32)⋊12S3 = C62.100D6φ: S3/C3C2 ⊆ Out D4×C32216(D4xC3^2):12S3432,725
(D4×C32)⋊13S3 = C32×D4⋊S3φ: S3/C3C2 ⊆ Out D4×C3272(D4xC3^2):13S3432,475
(D4×C32)⋊14S3 = C32×D42S3φ: trivial image72(D4xC3^2):14S3432,705

Non-split extensions G=N.Q with N=D4×C32 and Q=S3
extensionφ:Q→Out NdρLabelID
(D4×C32).1S3 = He38SD16φ: S3/C1S3 ⊆ Out D4×C327212-(D4xC3^2).1S3432,152
(D4×C32).2S3 = Dic18⋊C6φ: S3/C1S3 ⊆ Out D4×C327212-(D4xC3^2).2S3432,154
(D4×C32).3S3 = D36⋊C6φ: S3/C1S3 ⊆ Out D4×C327212+(D4xC3^2).3S3432,155
(D4×C32).4S3 = He39SD16φ: S3/C1S3 ⊆ Out D4×C32726(D4xC3^2).4S3432,193
(D4×C32).5S3 = D4×C9⋊C6φ: S3/C1S3 ⊆ Out D4×C323612+(D4xC3^2).5S3432,362
(D4×C32).6S3 = Dic182C6φ: S3/C1S3 ⊆ Out D4×C327212-(D4xC3^2).6S3432,363
(D4×C32).7S3 = C3×D4.D9φ: S3/C3C2 ⊆ Out D4×C32724(D4xC3^2).7S3432,148
(D4×C32).8S3 = C3×D4⋊D9φ: S3/C3C2 ⊆ Out D4×C32724(D4xC3^2).8S3432,149
(D4×C32).9S3 = C36.17D6φ: S3/C3C2 ⊆ Out D4×C32216(D4xC3^2).9S3432,190
(D4×C32).10S3 = C36.18D6φ: S3/C3C2 ⊆ Out D4×C32216(D4xC3^2).10S3432,191
(D4×C32).11S3 = C3×D4×D9φ: S3/C3C2 ⊆ Out D4×C32724(D4xC3^2).11S3432,356
(D4×C32).12S3 = C3×D42D9φ: S3/C3C2 ⊆ Out D4×C32724(D4xC3^2).12S3432,357
(D4×C32).13S3 = D4×C9⋊S3φ: S3/C3C2 ⊆ Out D4×C32108(D4xC3^2).13S3432,388
(D4×C32).14S3 = C36.27D6φ: S3/C3C2 ⊆ Out D4×C32216(D4xC3^2).14S3432,389
(D4×C32).15S3 = C3×C329SD16φ: S3/C3C2 ⊆ Out D4×C3272(D4xC3^2).15S3432,492
(D4×C32).16S3 = C3324SD16φ: S3/C3C2 ⊆ Out D4×C32216(D4xC3^2).16S3432,508
(D4×C32).17S3 = C32×D4.S3φ: S3/C3C2 ⊆ Out D4×C3272(D4xC3^2).17S3432,476

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