# Extensions 1→N→G→Q→1 with N=C15×D8 and Q=C2

Direct product G=N×Q with N=C15×D8 and Q=C2
dρLabelID
D8×C30240D8xC30480,937

Semidirect products G=N:Q with N=C15×D8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C15×D8)⋊1C2 = C157D16φ: C2/C1C2 ⊆ Out C15×D82404+(C15xD8):1C2480,186
(C15×D8)⋊2C2 = D8×D15φ: C2/C1C2 ⊆ Out C15×D81204+(C15xD8):2C2480,875
(C15×D8)⋊3C2 = D83D15φ: C2/C1C2 ⊆ Out C15×D82404-(C15xD8):3C2480,877
(C15×D8)⋊4C2 = D8⋊D15φ: C2/C1C2 ⊆ Out C15×D81204(C15xD8):4C2480,876
(C15×D8)⋊5C2 = C3×C5⋊D16φ: C2/C1C2 ⊆ Out C15×D82404(C15xD8):5C2480,104
(C15×D8)⋊6C2 = C3×D5×D8φ: C2/C1C2 ⊆ Out C15×D81204(C15xD8):6C2480,703
(C15×D8)⋊7C2 = C3×D83D5φ: C2/C1C2 ⊆ Out C15×D82404(C15xD8):7C2480,705
(C15×D8)⋊8C2 = C5×C3⋊D16φ: C2/C1C2 ⊆ Out C15×D82404(C15xD8):8C2480,145
(C15×D8)⋊9C2 = C5×S3×D8φ: C2/C1C2 ⊆ Out C15×D81204(C15xD8):9C2480,789
(C15×D8)⋊10C2 = C5×D83S3φ: C2/C1C2 ⊆ Out C15×D82404(C15xD8):10C2480,791
(C15×D8)⋊11C2 = C3×D8⋊D5φ: C2/C1C2 ⊆ Out C15×D81204(C15xD8):11C2480,704
(C15×D8)⋊12C2 = C5×D8⋊S3φ: C2/C1C2 ⊆ Out C15×D81204(C15xD8):12C2480,790
(C15×D8)⋊13C2 = C15×D16φ: C2/C1C2 ⊆ Out C15×D82402(C15xD8):13C2480,214
(C15×D8)⋊14C2 = C15×C8⋊C22φ: C2/C1C2 ⊆ Out C15×D81204(C15xD8):14C2480,941
(C15×D8)⋊15C2 = C15×C4○D8φ: trivial image2402(C15xD8):15C2480,940

Non-split extensions G=N.Q with N=C15×D8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C15×D8).1C2 = D8.D15φ: C2/C1C2 ⊆ Out C15×D82404-(C15xD8).1C2480,187
(C15×D8).2C2 = C3×D8.D5φ: C2/C1C2 ⊆ Out C15×D82404(C15xD8).2C2480,105
(C15×D8).3C2 = C5×D8.S3φ: C2/C1C2 ⊆ Out C15×D82404(C15xD8).3C2480,146
(C15×D8).4C2 = C15×SD32φ: C2/C1C2 ⊆ Out C15×D82402(C15xD8).4C2480,215

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