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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=D18

Direct product G=N×Q with N=C2×C6 and Q=D18
dρLabelID
D9×C22×C6144D9xC2^2xC6432,556

Semidirect products G=N:Q with N=C2×C6 and Q=D18
extensionφ:Q→Aut NdρLabelID
(C2×C6)⋊D18 = S3×C3.S4φ: D18/C3 → D6 ⊆ Aut C2×C63612+(C2xC6):D18432,522
(C2×C6)⋊2D18 = C6×C3.S4φ: D18/C6 → S3 ⊆ Aut C2×C6366(C2xC6):2D18432,534
(C2×C6)⋊3D18 = C2×C32.3S4φ: D18/C6 → S3 ⊆ Aut C2×C654(C2xC6):3D18432,537
(C2×C6)⋊4D18 = S3×C9⋊D4φ: D18/C9 → C22 ⊆ Aut C2×C6724(C2xC6):4D18432,313
(C2×C6)⋊5D18 = D18⋊D6φ: D18/C9 → C22 ⊆ Aut C2×C6364+(C2xC6):5D18432,315
(C2×C6)⋊6D18 = D4×C9⋊S3φ: D18/C9 → C22 ⊆ Aut C2×C6108(C2xC6):6D18432,388
(C2×C6)⋊7D18 = C3×D4×D9φ: D18/D9 → C2 ⊆ Aut C2×C6724(C2xC6):7D18432,356
(C2×C6)⋊8D18 = D9×C3⋊D4φ: D18/D9 → C2 ⊆ Aut C2×C6724(C2xC6):8D18432,314
(C2×C6)⋊9D18 = C22×S3×D9φ: D18/D9 → C2 ⊆ Aut C2×C672(C2xC6):9D18432,544
(C2×C6)⋊10D18 = C6×C9⋊D4φ: D18/C18 → C2 ⊆ Aut C2×C672(C2xC6):10D18432,374
(C2×C6)⋊11D18 = C2×C6.D18φ: D18/C18 → C2 ⊆ Aut C2×C6216(C2xC6):11D18432,397
(C2×C6)⋊12D18 = C23×C9⋊S3φ: D18/C18 → C2 ⊆ Aut C2×C6216(C2xC6):12D18432,560

Non-split extensions G=N.Q with N=C2×C6 and Q=D18
extensionφ:Q→Aut NdρLabelID
(C2×C6).D18 = C2×C9.S4φ: D18/C6 → S3 ⊆ Aut C2×C6546+(C2xC6).D18432,224
(C2×C6).2D18 = D4×D27φ: D18/C9 → C22 ⊆ Aut C2×C61084+(C2xC6).2D18432,47
(C2×C6).3D18 = D4⋊2D27φ: D18/C9 → C22 ⊆ Aut C2×C62164-(C2xC6).3D18432,48
(C2×C6).4D18 = D18.3D6φ: D18/C9 → C22 ⊆ Aut C2×C6724(C2xC6).4D18432,305
(C2×C6).5D18 = D18.4D6φ: D18/C9 → C22 ⊆ Aut C2×C6724-(C2xC6).5D18432,310
(C2×C6).6D18 = C36.27D6φ: D18/C9 → C22 ⊆ Aut C2×C6216(C2xC6).6D18432,389
(C2×C6).7D18 = C3×D4⋊2D9φ: D18/D9 → C2 ⊆ Aut C2×C6724(C2xC6).7D18432,357
(C2×C6).8D18 = Dic3×Dic9φ: D18/D9 → C2 ⊆ Aut C2×C6144(C2xC6).8D18432,87
(C2×C6).9D18 = Dic9⋊Dic3φ: D18/D9 → C2 ⊆ Aut C2×C6144(C2xC6).9D18432,88
(C2×C6).10D18 = C18.Dic6φ: D18/D9 → C2 ⊆ Aut C2×C6144(C2xC6).10D18432,89
(C2×C6).11D18 = Dic3⋊Dic9φ: D18/D9 → C2 ⊆ Aut C2×C6144(C2xC6).11D18432,90
(C2×C6).12D18 = D18⋊Dic3φ: D18/D9 → C2 ⊆ Aut C2×C6144(C2xC6).12D18432,91
(C2×C6).13D18 = C6.18D36φ: D18/D9 → C2 ⊆ Aut C2×C672(C2xC6).13D18432,92
(C2×C6).14D18 = D6⋊Dic9φ: D18/D9 → C2 ⊆ Aut C2×C6144(C2xC6).14D18432,93
(C2×C6).15D18 = C2×C9⋊Dic6φ: D18/D9 → C2 ⊆ Aut C2×C6144(C2xC6).15D18432,303
(C2×C6).16D18 = C2×Dic3×D9φ: D18/D9 → C2 ⊆ Aut C2×C6144(C2xC6).16D18432,304
(C2×C6).17D18 = C2×C18.D6φ: D18/D9 → C2 ⊆ Aut C2×C672(C2xC6).17D18432,306
(C2×C6).18D18 = C2×C3⋊D36φ: D18/D9 → C2 ⊆ Aut C2×C672(C2xC6).18D18432,307
(C2×C6).19D18 = C2×S3×Dic9φ: D18/D9 → C2 ⊆ Aut C2×C6144(C2xC6).19D18432,308
(C2×C6).20D18 = Dic3.D18φ: D18/D9 → C2 ⊆ Aut C2×C6724(C2xC6).20D18432,309
(C2×C6).21D18 = C2×D6⋊D9φ: D18/D9 → C2 ⊆ Aut C2×C6144(C2xC6).21D18432,311
(C2×C6).22D18 = C2×C9⋊D12φ: D18/D9 → C2 ⊆ Aut C2×C672(C2xC6).22D18432,312
(C2×C6).23D18 = C3×D36⋊5C2φ: D18/C18 → C2 ⊆ Aut C2×C6722(C2xC6).23D18432,344
(C2×C6).24D18 = C4×Dic27φ: D18/C18 → C2 ⊆ Aut C2×C6432(C2xC6).24D18432,11
(C2×C6).25D18 = Dic27⋊C4φ: D18/C18 → C2 ⊆ Aut C2×C6432(C2xC6).25D18432,12
(C2×C6).26D18 = C4⋊Dic27φ: D18/C18 → C2 ⊆ Aut C2×C6432(C2xC6).26D18432,13
(C2×C6).27D18 = D54⋊C4φ: D18/C18 → C2 ⊆ Aut C2×C6216(C2xC6).27D18432,14
(C2×C6).28D18 = C54.D4φ: D18/C18 → C2 ⊆ Aut C2×C6216(C2xC6).28D18432,19
(C2×C6).29D18 = C2×Dic54φ: D18/C18 → C2 ⊆ Aut C2×C6432(C2xC6).29D18432,43
(C2×C6).30D18 = C2×C4×D27φ: D18/C18 → C2 ⊆ Aut C2×C6216(C2xC6).30D18432,44
(C2×C6).31D18 = C2×D108φ: D18/C18 → C2 ⊆ Aut C2×C6216(C2xC6).31D18432,45
(C2×C6).32D18 = D108⋊5C2φ: D18/C18 → C2 ⊆ Aut C2×C62162(C2xC6).32D18432,46
(C2×C6).33D18 = C22×Dic27φ: D18/C18 → C2 ⊆ Aut C2×C6432(C2xC6).33D18432,51
(C2×C6).34D18 = C2×C27⋊D4φ: D18/C18 → C2 ⊆ Aut C2×C6216(C2xC6).34D18432,52
(C2×C6).35D18 = C4×C9⋊Dic3φ: D18/C18 → C2 ⊆ Aut C2×C6432(C2xC6).35D18432,180
(C2×C6).36D18 = C6.Dic18φ: D18/C18 → C2 ⊆ Aut C2×C6432(C2xC6).36D18432,181
(C2×C6).37D18 = C36⋊Dic3φ: D18/C18 → C2 ⊆ Aut C2×C6432(C2xC6).37D18432,182
(C2×C6).38D18 = C6.11D36φ: D18/C18 → C2 ⊆ Aut C2×C6216(C2xC6).38D18432,183
(C2×C6).39D18 = C62.127D6φ: D18/C18 → C2 ⊆ Aut C2×C6216(C2xC6).39D18432,198
(C2×C6).40D18 = C23×D27φ: D18/C18 → C2 ⊆ Aut C2×C6216(C2xC6).40D18432,227
(C2×C6).41D18 = C2×C12.D9φ: D18/C18 → C2 ⊆ Aut C2×C6432(C2xC6).41D18432,380
(C2×C6).42D18 = C2×C4×C9⋊S3φ: D18/C18 → C2 ⊆ Aut C2×C6216(C2xC6).42D18432,381
(C2×C6).43D18 = C2×C36⋊S3φ: D18/C18 → C2 ⊆ Aut C2×C6216(C2xC6).43D18432,382
(C2×C6).44D18 = C36.70D6φ: D18/C18 → C2 ⊆ Aut C2×C6216(C2xC6).44D18432,383
(C2×C6).45D18 = C22×C9⋊Dic3φ: D18/C18 → C2 ⊆ Aut C2×C6432(C2xC6).45D18432,396
(C2×C6).46D18 = C12×Dic9central extension (φ=1)144(C2xC6).46D18432,128
(C2×C6).47D18 = C3×Dic9⋊C4central extension (φ=1)144(C2xC6).47D18432,129
(C2×C6).48D18 = C3×C4⋊Dic9central extension (φ=1)144(C2xC6).48D18432,130
(C2×C6).49D18 = C3×D18⋊C4central extension (φ=1)144(C2xC6).49D18432,134
(C2×C6).50D18 = C3×C18.D4central extension (φ=1)72(C2xC6).50D18432,164
(C2×C6).51D18 = C6×Dic18central extension (φ=1)144(C2xC6).51D18432,340
(C2×C6).52D18 = D9×C2×C12central extension (φ=1)144(C2xC6).52D18432,342
(C2×C6).53D18 = C6×D36central extension (φ=1)144(C2xC6).53D18432,343
(C2×C6).54D18 = C2×C6×Dic9central extension (φ=1)144(C2xC6).54D18432,372

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