# Extensions 1→N→G→Q→1 with N=C2×Q8 and Q=D15

Direct product G=N×Q with N=C2×Q8 and Q=D15
dρLabelID
C2×Q8×D15240C2xQ8xD15480,1172

Semidirect products G=N:Q with N=C2×Q8 and Q=D15
extensionφ:Q→Out NdρLabelID
(C2×Q8)⋊1D15 = C2×Q8⋊D15φ: D15/C5S3 ⊆ Out C2×Q880(C2xQ8):1D15480,1028
(C2×Q8)⋊2D15 = Q8.D30φ: D15/C5S3 ⊆ Out C2×Q8804(C2xQ8):2D15480,1029
(C2×Q8)⋊3D15 = C2×Q82D15φ: D15/C15C2 ⊆ Out C2×Q8240(C2xQ8):3D15480,906
(C2×Q8)⋊4D15 = Q8.11D30φ: D15/C15C2 ⊆ Out C2×Q82404(C2xQ8):4D15480,907
(C2×Q8)⋊5D15 = D307Q8φ: D15/C15C2 ⊆ Out C2×Q8240(C2xQ8):5D15480,911
(C2×Q8)⋊6D15 = C60.23D4φ: D15/C15C2 ⊆ Out C2×Q8240(C2xQ8):6D15480,912
(C2×Q8)⋊7D15 = Q8.15D30φ: D15/C15C2 ⊆ Out C2×Q82404(C2xQ8):7D15480,1174
(C2×Q8)⋊8D15 = C2×Q83D15φ: trivial image240(C2xQ8):8D15480,1173

Non-split extensions G=N.Q with N=C2×Q8 and Q=D15
extensionφ:Q→Out NdρLabelID
(C2×Q8).1D15 = Q8⋊Dic15φ: D15/C5S3 ⊆ Out C2×Q8160(C2xQ8).1D15480,260
(C2×Q8).2D15 = C2×Q8.D15φ: D15/C5S3 ⊆ Out C2×Q8160(C2xQ8).2D15480,1027
(C2×Q8).3D15 = Q82Dic15φ: D15/C15C2 ⊆ Out C2×Q8480(C2xQ8).3D15480,195
(C2×Q8).4D15 = C60.10D4φ: D15/C15C2 ⊆ Out C2×Q82404(C2xQ8).4D15480,196
(C2×Q8).5D15 = C2×C157Q16φ: D15/C15C2 ⊆ Out C2×Q8480(C2xQ8).5D15480,908
(C2×Q8).6D15 = Dic154Q8φ: D15/C15C2 ⊆ Out C2×Q8480(C2xQ8).6D15480,909
(C2×Q8).7D15 = Q8×Dic15φ: trivial image480(C2xQ8).7D15480,910

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