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Extensions 1→N→G→Q→1 with N=C3×Dic5 and Q=Q8

Direct product G=N×Q with N=C3×Dic5 and Q=Q8
dρLabelID
C3×Q8×Dic5480C3xQ8xDic5480,738

Semidirect products G=N:Q with N=C3×Dic5 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C3×Dic5)⋊1Q8 = Dic3⋊Dic10φ: Q8/C2 → C22 ⊆ Out C3×Dic5480(C3xDic5):1Q8480,404
(C3×Dic5)⋊2Q8 = Dic15⋊Q8φ: Q8/C2 → C22 ⊆ Out C3×Dic5480(C3xDic5):2Q8480,405
(C3×Dic5)⋊3Q8 = Dic5⋊5Dic6φ: Q8/C4 → C2 ⊆ Out C3×Dic5480(C3xDic5):3Q8480,399
(C3×Dic5)⋊4Q8 = Dic5×Dic6φ: Q8/C4 → C2 ⊆ Out C3×Dic5480(C3xDic5):4Q8480,408
(C3×Dic5)⋊5Q8 = Dic30⋊17C4φ: Q8/C4 → C2 ⊆ Out C3×Dic5480(C3xDic5):5Q8480,409
(C3×Dic5)⋊6Q8 = Dic5⋊Dic6φ: Q8/C4 → C2 ⊆ Out C3×Dic5480(C3xDic5):6Q8480,452
(C3×Dic5)⋊7Q8 = C60⋊Q8φ: Q8/C4 → C2 ⊆ Out C3×Dic5480(C3xDic5):7Q8480,544
(C3×Dic5)⋊8Q8 = C3×C20⋊Q8φ: Q8/C4 → C2 ⊆ Out C3×Dic5480(C3xDic5):8Q8480,681
(C3×Dic5)⋊9Q8 = C3×Dic5⋊Q8φ: Q8/C4 → C2 ⊆ Out C3×Dic5480(C3xDic5):9Q8480,737
(C3×Dic5)⋊10Q8 = C3×Dic5⋊3Q8φ: trivial image480(C3xDic5):10Q8480,680

Non-split extensions G=N.Q with N=C3×Dic5 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C3×Dic5).1Q8 = Dic5.1Dic6φ: Q8/C2 → C22 ⊆ Out C3×Dic5480(C3xDic5).1Q8480,410
(C3×Dic5).2Q8 = Dic5.2Dic6φ: Q8/C2 → C22 ⊆ Out C3×Dic5480(C3xDic5).2Q8480,411
(C3×Dic5).3Q8 = Dic5.Dic6φ: Q8/C2 → C22 ⊆ Out C3×Dic51208(C3xDic5).3Q8480,235
(C3×Dic5).4Q8 = Dic5.4Dic6φ: Q8/C2 → C22 ⊆ Out C3×Dic51208(C3xDic5).4Q8480,236
(C3×Dic5).5Q8 = C30.4M4(2)φ: Q8/C2 → C22 ⊆ Out C3×Dic5480(C3xDic5).5Q8480,252
(C3×Dic5).6Q8 = Dic15⋊C8φ: Q8/C2 → C22 ⊆ Out C3×Dic5480(C3xDic5).6Q8480,253
(C3×Dic5).7Q8 = Dic5.7Dic6φ: Q8/C4 → C2 ⊆ Out C3×Dic5480(C3xDic5).7Q8480,454
(C3×Dic5).8Q8 = C3×Dic5.Q8φ: Q8/C4 → C2 ⊆ Out C3×Dic5480(C3xDic5).8Q8480,682
(C3×Dic5).9Q8 = C120⋊C4φ: Q8/C4 → C2 ⊆ Out C3×Dic51204(C3xDic5).9Q8480,298
(C3×Dic5).10Q8 = D5.D24φ: Q8/C4 → C2 ⊆ Out C3×Dic51204(C3xDic5).10Q8480,299
(C3×Dic5).11Q8 = C60⋊C8φ: Q8/C4 → C2 ⊆ Out C3×Dic5480(C3xDic5).11Q8480,306
(C3×Dic5).12Q8 = Dic5.13D12φ: Q8/C4 → C2 ⊆ Out C3×Dic5480(C3xDic5).12Q8480,309
(C3×Dic5).13Q8 = C3×C40⋊C4φ: Q8/C4 → C2 ⊆ Out C3×Dic51204(C3xDic5).13Q8480,273
(C3×Dic5).14Q8 = C3×D5.D8φ: Q8/C4 → C2 ⊆ Out C3×Dic51204(C3xDic5).14Q8480,274
(C3×Dic5).15Q8 = C3×C20⋊C8φ: Q8/C4 → C2 ⊆ Out C3×Dic5480(C3xDic5).15Q8480,281
(C3×Dic5).16Q8 = C3×Dic5⋊C8φ: Q8/C4 → C2 ⊆ Out C3×Dic5480(C3xDic5).16Q8480,284

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