Extensions 1→N→G→Q→1 with N=C3×C6.D4 and Q=C2

Direct product G=N×Q with N=C3×C6.D4 and Q=C2
dρLabelID
C6×C6.D448C6xC6.D4288,723

Semidirect products G=N:Q with N=C3×C6.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C6.D4)⋊1C2 = C62.31D4φ: C2/C1C2 ⊆ Out C3×C6.D4244(C3xC6.D4):1C2288,228
(C3×C6.D4)⋊2C2 = C62.32D4φ: C2/C1C2 ⊆ Out C3×C6.D4244(C3xC6.D4):2C2288,229
(C3×C6.D4)⋊3C2 = C3×C23.6D6φ: C2/C1C2 ⊆ Out C3×C6.D4244(C3xC6.D4):3C2288,240
(C3×C6.D4)⋊4C2 = C3×C23.7D6φ: C2/C1C2 ⊆ Out C3×C6.D4244(C3xC6.D4):4C2288,268
(C3×C6.D4)⋊5C2 = C3×S3×C22⋊C4φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4):5C2288,651
(C3×C6.D4)⋊6C2 = C3×D4×Dic3φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4):6C2288,705
(C3×C6.D4)⋊7C2 = C62.57D4φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4):7C2288,610
(C3×C6.D4)⋊8C2 = C62.60D4φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4):8C2288,614
(C3×C6.D4)⋊9C2 = C625D4φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4):9C2288,625
(C3×C6.D4)⋊10C2 = C628D4φ: C2/C1C2 ⊆ Out C3×C6.D424(C3xC6.D4):10C2288,629
(C3×C6.D4)⋊11C2 = C62.95C23φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4):11C2288,601
(C3×C6.D4)⋊12C2 = C62.100C23φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4):12C2288,606
(C3×C6.D4)⋊13C2 = C62.101C23φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4):13C2288,607
(C3×C6.D4)⋊14C2 = C62.111C23φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4):14C2288,617
(C3×C6.D4)⋊15C2 = C62.113C23φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4):15C2288,619
(C3×C6.D4)⋊16C2 = C62.117C23φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4):16C2288,623
(C3×C6.D4)⋊17C2 = C62.94C23φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4):17C2288,600
(C3×C6.D4)⋊18C2 = S3×C6.D4φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4):18C2288,616
(C3×C6.D4)⋊19C2 = C62.115C23φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4):19C2288,621
(C3×C6.D4)⋊20C2 = C62.116C23φ: C2/C1C2 ⊆ Out C3×C6.D424(C3xC6.D4):20C2288,622
(C3×C6.D4)⋊21C2 = C3×C23.9D6φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4):21C2288,654
(C3×C6.D4)⋊22C2 = C3×C23.11D6φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4):22C2288,656
(C3×C6.D4)⋊23C2 = C3×C23.28D6φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4):23C2288,700
(C3×C6.D4)⋊24C2 = C3×C23.23D6φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4):24C2288,706
(C3×C6.D4)⋊25C2 = C3×C23.12D6φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4):25C2288,707
(C3×C6.D4)⋊26C2 = C3×C232D6φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4):26C2288,708
(C3×C6.D4)⋊27C2 = C3×D63D4φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4):27C2288,709
(C3×C6.D4)⋊28C2 = C3×C23.14D6φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4):28C2288,710
(C3×C6.D4)⋊29C2 = C3×C244S3φ: C2/C1C2 ⊆ Out C3×C6.D424(C3xC6.D4):29C2288,724
(C3×C6.D4)⋊30C2 = C12×C3⋊D4φ: trivial image48(C3xC6.D4):30C2288,699

Non-split extensions G=N.Q with N=C3×C6.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C6.D4).1C2 = C3×C23.16D6φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4).1C2288,648
(C3×C6.D4).2C2 = C623Q8φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4).2C2288,612
(C3×C6.D4).3C2 = C624Q8φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4).3C2288,630
(C3×C6.D4).4C2 = C62.98C23φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4).4C2288,604
(C3×C6.D4).5C2 = C62.97C23φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4).5C2288,603
(C3×C6.D4).6C2 = C62.99C23φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4).6C2288,605
(C3×C6.D4).7C2 = C3×Dic3.D4φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4).7C2288,649
(C3×C6.D4).8C2 = C3×C23.8D6φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4).8C2288,650
(C3×C6.D4).9C2 = C3×C12.48D4φ: C2/C1C2 ⊆ Out C3×C6.D448(C3xC6.D4).9C2288,695
(C3×C6.D4).10C2 = C3×C23.26D6φ: trivial image48(C3xC6.D4).10C2288,697

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