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Extensions 1→N→G→Q→1 with N=C2×Dic15 and Q=C4

Direct product G=N×Q with N=C2×Dic15 and Q=C4
dρLabelID
C2×C4×Dic15480C2xC4xDic15480,887

Semidirect products G=N:Q with N=C2×Dic15 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×Dic15)⋊1C4 = C23.6D30φ: C4/C1 → C4 ⊆ Out C2×Dic151204(C2xDic15):1C4480,166
(C2×Dic15)⋊2C4 = C15⋊9(C23⋊C4)φ: C4/C1 → C4 ⊆ Out C2×Dic151204(C2xDic15):2C4480,73
(C2×Dic15)⋊3C4 = D10.20D12φ: C4/C1 → C4 ⊆ Out C2×Dic15120(C2xDic15):3C4480,243
(C2×Dic15)⋊4C4 = D10.D12φ: C4/C1 → C4 ⊆ Out C2×Dic151208-(C2xDic15):4C4480,248
(C2×Dic15)⋊5C4 = C2×Dic3×F5φ: C4/C1 → C4 ⊆ Out C2×Dic15120(C2xDic15):5C4480,998
(C2×Dic15)⋊6C4 = C22⋊F5.S3φ: C4/C1 → C4 ⊆ Out C2×Dic151208-(C2xDic15):6C4480,999
(C2×Dic15)⋊7C4 = C2×Dic3⋊F5φ: C4/C1 → C4 ⊆ Out C2×Dic15120(C2xDic15):7C4480,1001
(C2×Dic15)⋊8C4 = C30.29C42φ: C4/C2 → C2 ⊆ Out C2×Dic15480(C2xDic15):8C4480,191
(C2×Dic15)⋊9C4 = C23.15D30φ: C4/C2 → C2 ⊆ Out C2×Dic15240(C2xDic15):9C4480,842
(C2×Dic15)⋊10C4 = C2×C30.4Q8φ: C4/C2 → C2 ⊆ Out C2×Dic15480(C2xDic15):10C4480,888
(C2×Dic15)⋊11C4 = C30.24C42φ: C4/C2 → C2 ⊆ Out C2×Dic15480(C2xDic15):11C4480,70
(C2×Dic15)⋊12C4 = C2×Dic3×Dic5φ: C4/C2 → C2 ⊆ Out C2×Dic15480(C2xDic15):12C4480,603
(C2×Dic15)⋊13C4 = C23.48(S3×D5)φ: C4/C2 → C2 ⊆ Out C2×Dic15240(C2xDic15):13C4480,608
(C2×Dic15)⋊14C4 = C2×Dic15⋊5C4φ: C4/C2 → C2 ⊆ Out C2×Dic15480(C2xDic15):14C4480,620

Non-split extensions G=N.Q with N=C2×Dic15 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×Dic15).1C4 = C4.D60φ: C4/C1 → C4 ⊆ Out C2×Dic152404-(C2xDic15).1C4480,184
(C2×Dic15).2C4 = C60.31D4φ: C4/C1 → C4 ⊆ Out C2×Dic152404-(C2xDic15).2C4480,39
(C2×Dic15).3C4 = Dic3×C5⋊C8φ: C4/C1 → C4 ⊆ Out C2×Dic15480(C2xDic15).3C4480,244
(C2×Dic15).4C4 = C30.M4(2)φ: C4/C1 → C4 ⊆ Out C2×Dic15480(C2xDic15).4C4480,245
(C2×Dic15).5C4 = Dic5.22D12φ: C4/C1 → C4 ⊆ Out C2×Dic15240(C2xDic15).5C4480,246
(C2×Dic15).6C4 = Dic5.4D12φ: C4/C1 → C4 ⊆ Out C2×Dic152408-(C2xDic15).6C4480,251
(C2×Dic15).7C4 = C30.4M4(2)φ: C4/C1 → C4 ⊆ Out C2×Dic15480(C2xDic15).7C4480,252
(C2×Dic15).8C4 = Dic15⋊C8φ: C4/C1 → C4 ⊆ Out C2×Dic15480(C2xDic15).8C4480,253
(C2×Dic15).9C4 = C2×S3×C5⋊C8φ: C4/C1 → C4 ⊆ Out C2×Dic15240(C2xDic15).9C4480,1002
(C2×Dic15).10C4 = S3×C22.F5φ: C4/C1 → C4 ⊆ Out C2×Dic151208-(C2xDic15).10C4480,1004
(C2×Dic15).11C4 = C2×D6.F5φ: C4/C1 → C4 ⊆ Out C2×Dic15240(C2xDic15).11C4480,1008
(C2×Dic15).12C4 = C60.26Q8φ: C4/C2 → C2 ⊆ Out C2×Dic15480(C2xDic15).12C4480,174
(C2×Dic15).13C4 = C120⋊13C4φ: C4/C2 → C2 ⊆ Out C2×Dic15480(C2xDic15).13C4480,175
(C2×Dic15).14C4 = D30⋊3C8φ: C4/C2 → C2 ⊆ Out C2×Dic15240(C2xDic15).14C4480,180
(C2×Dic15).15C4 = C2×C40⋊S3φ: C4/C2 → C2 ⊆ Out C2×Dic15240(C2xDic15).15C4480,865
(C2×Dic15).16C4 = M4(2)×D15φ: C4/C2 → C2 ⊆ Out C2×Dic151204(C2xDic15).16C4480,871
(C2×Dic15).17C4 = Dic15⋊4C8φ: C4/C2 → C2 ⊆ Out C2×Dic15480(C2xDic15).17C4480,27
(C2×Dic15).18C4 = C30.23C42φ: C4/C2 → C2 ⊆ Out C2×Dic15480(C2xDic15).18C4480,30
(C2×Dic15).19C4 = D30⋊4C8φ: C4/C2 → C2 ⊆ Out C2×Dic15240(C2xDic15).19C4480,33
(C2×Dic15).20C4 = C60.14Q8φ: C4/C2 → C2 ⊆ Out C2×Dic15480(C2xDic15).20C4480,59
(C2×Dic15).21C4 = C2×D15⋊2C8φ: C4/C2 → C2 ⊆ Out C2×Dic15240(C2xDic15).21C4480,365
(C2×Dic15).22C4 = D15⋊4M4(2)φ: C4/C2 → C2 ⊆ Out C2×Dic151204(C2xDic15).22C4480,368
(C2×Dic15).23C4 = C2×D30.5C4φ: C4/C2 → C2 ⊆ Out C2×Dic15240(C2xDic15).23C4480,371
(C2×Dic15).24C4 = C8×Dic15φ: trivial image480(C2xDic15).24C4480,173
(C2×Dic15).25C4 = C2×C8×D15φ: trivial image240(C2xDic15).25C4480,864

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