# Extensions 1→N→G→Q→1 with N=D4×C32 and Q=C6

Direct product G=N×Q with N=D4×C32 and Q=C6
dρLabelID
D4×C32×C6216D4xC3^2xC6432,731

Semidirect products G=N:Q with N=D4×C32 and Q=C6
extensionφ:Q→Out NdρLabelID
(D4×C32)⋊1C6 = He36D8φ: C6/C1C6 ⊆ Out D4×C327212+(D4xC3^2):1C6432,153
(D4×C32)⋊2C6 = D4×C32⋊C6φ: C6/C1C6 ⊆ Out D4×C323612+(D4xC3^2):2C6432,360
(D4×C32)⋊3C6 = C62.13D6φ: C6/C1C6 ⊆ Out D4×C327212-(D4xC3^2):3C6432,361
(D4×C32)⋊4C6 = D8×He3φ: C6/C1C6 ⊆ Out D4×C32726(D4xC3^2):4C6432,216
(D4×C32)⋊5C6 = C2×D4×He3φ: C6/C2C3 ⊆ Out D4×C3272(D4xC3^2):5C6432,404
(D4×C32)⋊6C6 = C4○D4×He3φ: C6/C2C3 ⊆ Out D4×C32726(D4xC3^2):6C6432,410
(D4×C32)⋊7C6 = C32×D4⋊S3φ: C6/C3C2 ⊆ Out D4×C3272(D4xC3^2):7C6432,475
(D4×C32)⋊8C6 = C3×C327D8φ: C6/C3C2 ⊆ Out D4×C3272(D4xC3^2):8C6432,491
(D4×C32)⋊9C6 = S3×D4×C32φ: C6/C3C2 ⊆ Out D4×C3272(D4xC3^2):9C6432,704
(D4×C32)⋊10C6 = C32×D42S3φ: C6/C3C2 ⊆ Out D4×C3272(D4xC3^2):10C6432,705
(D4×C32)⋊11C6 = C3×D4×C3⋊S3φ: C6/C3C2 ⊆ Out D4×C3272(D4xC3^2):11C6432,714
(D4×C32)⋊12C6 = C3×C12.D6φ: C6/C3C2 ⊆ Out D4×C3272(D4xC3^2):12C6432,715
(D4×C32)⋊13C6 = D8×C33φ: C6/C3C2 ⊆ Out D4×C32216(D4xC3^2):13C6432,517
(D4×C32)⋊14C6 = C4○D4×C33φ: trivial image216(D4xC3^2):14C6432,733

Non-split extensions G=N.Q with N=D4×C32 and Q=C6
extensionφ:Q→Out NdρLabelID
(D4×C32).1C6 = He38SD16φ: C6/C1C6 ⊆ Out D4×C327212-(D4xC3^2).1C6432,152
(D4×C32).2C6 = D8×3- 1+2φ: C6/C1C6 ⊆ Out D4×C32726(D4xC3^2).2C6432,217
(D4×C32).3C6 = SD16×He3φ: C6/C1C6 ⊆ Out D4×C32726(D4xC3^2).3C6432,219
(D4×C32).4C6 = SD16×3- 1+2φ: C6/C1C6 ⊆ Out D4×C32726(D4xC3^2).4C6432,220
(D4×C32).5C6 = C2×D4×3- 1+2φ: C6/C2C3 ⊆ Out D4×C3272(D4xC3^2).5C6432,405
(D4×C32).6C6 = C4○D4×3- 1+2φ: C6/C2C3 ⊆ Out D4×C32726(D4xC3^2).6C6432,411
(D4×C32).7C6 = C9×D4⋊S3φ: C6/C3C2 ⊆ Out D4×C32724(D4xC3^2).7C6432,150
(D4×C32).8C6 = C9×D4.S3φ: C6/C3C2 ⊆ Out D4×C32724(D4xC3^2).8C6432,151
(D4×C32).9C6 = S3×D4×C9φ: C6/C3C2 ⊆ Out D4×C32724(D4xC3^2).9C6432,358
(D4×C32).10C6 = C9×D42S3φ: C6/C3C2 ⊆ Out D4×C32724(D4xC3^2).10C6432,359
(D4×C32).11C6 = C32×D4.S3φ: C6/C3C2 ⊆ Out D4×C3272(D4xC3^2).11C6432,476
(D4×C32).12C6 = C3×C329SD16φ: C6/C3C2 ⊆ Out D4×C3272(D4xC3^2).12C6432,492
(D4×C32).13C6 = D8×C3×C9φ: C6/C3C2 ⊆ Out D4×C32216(D4xC3^2).13C6432,215
(D4×C32).14C6 = SD16×C3×C9φ: C6/C3C2 ⊆ Out D4×C32216(D4xC3^2).14C6432,218
(D4×C32).15C6 = SD16×C33φ: C6/C3C2 ⊆ Out D4×C32216(D4xC3^2).15C6432,518
(D4×C32).16C6 = D4×C3×C18φ: trivial image216(D4xC3^2).16C6432,403
(D4×C32).17C6 = C4○D4×C3×C9φ: trivial image216(D4xC3^2).17C6432,409

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