# Extensions 1→N→G→Q→1 with N=Q8×C15 and Q=C2

Direct product G=N×Q with N=Q8×C15 and Q=C2
dρLabelID
Q8×C30240Q8xC30240,187

Semidirect products G=N:Q with N=Q8×C15 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C15)⋊1C2 = Q82D15φ: C2/C1C2 ⊆ Out Q8×C151204+(Q8xC15):1C2240,78
(Q8×C15)⋊2C2 = Q8×D15φ: C2/C1C2 ⊆ Out Q8×C151204-(Q8xC15):2C2240,181
(Q8×C15)⋊3C2 = Q83D15φ: C2/C1C2 ⊆ Out Q8×C151204+(Q8xC15):3C2240,182
(Q8×C15)⋊4C2 = C3×Q8⋊D5φ: C2/C1C2 ⊆ Out Q8×C151204(Q8xC15):4C2240,46
(Q8×C15)⋊5C2 = C3×Q8×D5φ: C2/C1C2 ⊆ Out Q8×C151204(Q8xC15):5C2240,161
(Q8×C15)⋊6C2 = C3×Q82D5φ: C2/C1C2 ⊆ Out Q8×C151204(Q8xC15):6C2240,162
(Q8×C15)⋊7C2 = C5×Q82S3φ: C2/C1C2 ⊆ Out Q8×C151204(Q8xC15):7C2240,62
(Q8×C15)⋊8C2 = C5×S3×Q8φ: C2/C1C2 ⊆ Out Q8×C151204(Q8xC15):8C2240,171
(Q8×C15)⋊9C2 = C5×Q83S3φ: C2/C1C2 ⊆ Out Q8×C151204(Q8xC15):9C2240,172
(Q8×C15)⋊10C2 = C15×SD16φ: C2/C1C2 ⊆ Out Q8×C151202(Q8xC15):10C2240,87
(Q8×C15)⋊11C2 = C15×C4○D4φ: trivial image1202(Q8xC15):11C2240,188

Non-split extensions G=N.Q with N=Q8×C15 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C15).1C2 = C157Q16φ: C2/C1C2 ⊆ Out Q8×C152404-(Q8xC15).1C2240,79
(Q8×C15).2C2 = C3×C5⋊Q16φ: C2/C1C2 ⊆ Out Q8×C152404(Q8xC15).2C2240,47
(Q8×C15).3C2 = C5×C3⋊Q16φ: C2/C1C2 ⊆ Out Q8×C152404(Q8xC15).3C2240,63
(Q8×C15).4C2 = C15×Q16φ: C2/C1C2 ⊆ Out Q8×C152402(Q8xC15).4C2240,88

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