Extensions 1→N→G→Q→1 with N=Dic15 and Q=Q8

Direct product G=N×Q with N=Dic15 and Q=Q8
dρLabelID
Q8×Dic15480Q8xDic15480,910

Semidirect products G=N:Q with N=Dic15 and Q=Q8
extensionφ:Q→Out NdρLabelID
Dic15⋊1Q8 = Dic15⋊1Q8φ: Q8/C2 → C22 ⊆ Out Dic15480Dic15:1Q8480,403
Dic15⋊2Q8 = Dic15⋊Q8φ: Q8/C2 → C22 ⊆ Out Dic15480Dic15:2Q8480,405
Dic15⋊3Q8 = C4⋊Dic30φ: Q8/C4 → C2 ⊆ Out Dic15480Dic15:3Q8480,853
Dic15⋊4Q8 = Dic15⋊4Q8φ: Q8/C4 → C2 ⊆ Out Dic15480Dic15:4Q8480,909
Dic15⋊5Q8 = Dic15⋊5Q8φ: Q8/C4 → C2 ⊆ Out Dic15480Dic15:5Q8480,401
Dic15⋊6Q8 = Dic15⋊6Q8φ: Q8/C4 → C2 ⊆ Out Dic15480Dic15:6Q8480,407
Dic15⋊7Q8 = Dic15⋊7Q8φ: Q8/C4 → C2 ⊆ Out Dic15480Dic15:7Q8480,420
Dic15⋊8Q8 = Dic15⋊8Q8φ: Q8/C4 → C2 ⊆ Out Dic15480Dic15:8Q8480,461
Dic15⋊9Q8 = C20⋊Dic6φ: Q8/C4 → C2 ⊆ Out Dic15480Dic15:9Q8480,546
Dic15⋊10Q8 = Dic15⋊10Q8φ: trivial image480Dic15:10Q8480,852

Non-split extensions G=N.Q with N=Dic15 and Q=Q8
extensionφ:Q→Out NdρLabelID
Dic15.1Q8 = Dic15.Q8φ: Q8/C2 → C22 ⊆ Out Dic15480Dic15.1Q8480,412
Dic15.2Q8 = Dic15.2Q8φ: Q8/C2 → C22 ⊆ Out Dic15480Dic15.2Q8480,415
Dic15.3Q8 = Dic15.3Q8φ: Q8/C4 → C2 ⊆ Out Dic15480Dic15.3Q8480,854
Dic15.4Q8 = Dic15.4Q8φ: Q8/C4 → C2 ⊆ Out Dic15480Dic15.4Q8480,458

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