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Extensions 1→N→G→Q→1 with N=C15xC4:C4 and Q=C2

Direct product G=NxQ with N=C15xC4:C4 and Q=C2
dρLabelID
C4:C4xC30480C4:C4xC30480,921

Semidirect products G=N:Q with N=C15xC4:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C15xC4:C4):1C2 = D60:9C4φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):1C2480,169
(C15xC4:C4):2C2 = C4:C4xD15φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):2C2480,856
(C15xC4:C4):3C2 = C4:C4:7D15φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):3C2480,857
(C15xC4:C4):4C2 = D60:11C4φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):4C2480,858
(C15xC4:C4):5C2 = D30.29D4φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):5C2480,859
(C15xC4:C4):6C2 = C4:D60φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):6C2480,860
(C15xC4:C4):7C2 = D30:5Q8φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):7C2480,861
(C15xC4:C4):8C2 = D30:6Q8φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):8C2480,862
(C15xC4:C4):9C2 = C4:C4:D15φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):9C2480,863
(C15xC4:C4):10C2 = C3xD20:6C4φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):10C2480,87
(C15xC4:C4):11C2 = C3xD5xC4:C4φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):11C2480,684
(C15xC4:C4):12C2 = C3xC4:C4:7D5φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):12C2480,685
(C15xC4:C4):13C2 = C3xD20:8C4φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):13C2480,686
(C15xC4:C4):14C2 = C3xD10.13D4φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):14C2480,687
(C15xC4:C4):15C2 = C3xC4:D20φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):15C2480,688
(C15xC4:C4):16C2 = C3xD10:Q8φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):16C2480,689
(C15xC4:C4):17C2 = C3xD10:2Q8φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):17C2480,690
(C15xC4:C4):18C2 = C3xC4:C4:D5φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):18C2480,691
(C15xC4:C4):19C2 = C5xC6.D8φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):19C2480,128
(C15xC4:C4):20C2 = C5xS3xC4:C4φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):20C2480,770
(C15xC4:C4):21C2 = C5xC4:C4:7S3φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):21C2480,771
(C15xC4:C4):22C2 = C5xDic3:5D4φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):22C2480,772
(C15xC4:C4):23C2 = C5xD6.D4φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):23C2480,773
(C15xC4:C4):24C2 = C5xC12:D4φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):24C2480,774
(C15xC4:C4):25C2 = C5xD6:Q8φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):25C2480,775
(C15xC4:C4):26C2 = C5xC4.D12φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):26C2480,776
(C15xC4:C4):27C2 = C5xC4:C4:S3φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):27C2480,777
(C15xC4:C4):28C2 = C15xD4:C4φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):28C2480,205
(C15xC4:C4):29C2 = C15xC4:D4φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):29C2480,926
(C15xC4:C4):30C2 = C15xC22:Q8φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):30C2480,927
(C15xC4:C4):31C2 = C15xC22.D4φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):31C2480,928
(C15xC4:C4):32C2 = C15xC42:2C2φ: C2/C1 → C2 ⊆ Out C15xC4:C4240(C15xC4:C4):32C2480,931
(C15xC4:C4):33C2 = C15xC42:C2φ: trivial image240(C15xC4:C4):33C2480,922
(C15xC4:C4):34C2 = D4xC60φ: trivial image240(C15xC4:C4):34C2480,923

Non-split extensions G=N.Q with N=C15xC4:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C15xC4:C4).1C2 = C60.1Q8φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).1C2480,167
(C15xC4:C4).2C2 = C60.2Q8φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).2C2480,168
(C15xC4:C4).3C2 = Dic30:9C4φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).3C2480,170
(C15xC4:C4).4C2 = Dic15:10Q8φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).4C2480,852
(C15xC4:C4).5C2 = C4:Dic30φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).5C2480,853
(C15xC4:C4).6C2 = Dic15.3Q8φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).6C2480,854
(C15xC4:C4).7C2 = C4.Dic30φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).7C2480,855
(C15xC4:C4).8C2 = C3xC10.D8φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).8C2480,85
(C15xC4:C4).9C2 = C3xC20.Q8φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).9C2480,86
(C15xC4:C4).10C2 = C3xC10.Q16φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).10C2480,88
(C15xC4:C4).11C2 = C3xDic5:3Q8φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).11C2480,680
(C15xC4:C4).12C2 = C3xC20:Q8φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).12C2480,681
(C15xC4:C4).13C2 = C3xDic5.Q8φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).13C2480,682
(C15xC4:C4).14C2 = C3xC4.Dic10φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).14C2480,683
(C15xC4:C4).15C2 = C5xC6.Q16φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).15C2480,126
(C15xC4:C4).16C2 = C5xC12.Q8φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).16C2480,127
(C15xC4:C4).17C2 = C5xC6.SD16φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).17C2480,129
(C15xC4:C4).18C2 = C5xDic6:C4φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).18C2480,766
(C15xC4:C4).19C2 = C5xC12:Q8φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).19C2480,767
(C15xC4:C4).20C2 = C5xDic3.Q8φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).20C2480,768
(C15xC4:C4).21C2 = C5xC4.Dic6φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).21C2480,769
(C15xC4:C4).22C2 = C15xQ8:C4φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).22C2480,206
(C15xC4:C4).23C2 = C15xC4.Q8φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).23C2480,209
(C15xC4:C4).24C2 = C15xC2.D8φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).24C2480,210
(C15xC4:C4).25C2 = C15xC42.C2φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).25C2480,930
(C15xC4:C4).26C2 = C15xC4:Q8φ: C2/C1 → C2 ⊆ Out C15xC4:C4480(C15xC4:C4).26C2480,933
(C15xC4:C4).27C2 = Q8xC60φ: trivial image480(C15xC4:C4).27C2480,924

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