Extensions 1→N→G→Q→1 with N=Q8 and Q=D6

Direct product G=N×Q with N=Q8 and Q=D6
dρLabelID
C2×S3×Q848C2xS3xQ896,212

Semidirect products G=N:Q with N=Q8 and Q=D6
extensionφ:Q→Out NdρLabelID
Q8⋊D6 = C2×GL2(𝔽3)φ: D6/C2S3 ⊆ Out Q816Q8:D696,189
Q82D6 = S3×SD16φ: D6/S3C2 ⊆ Out Q8244Q8:2D696,120
Q83D6 = Q83D6φ: D6/S3C2 ⊆ Out Q8244+Q8:3D696,121
Q84D6 = C2×Q82S3φ: D6/C6C2 ⊆ Out Q848Q8:4D696,148
Q85D6 = D4⋊D6φ: D6/C6C2 ⊆ Out Q8244+Q8:5D696,156
Q86D6 = C2×Q83S3φ: trivial image48Q8:6D696,213
Q87D6 = S3×C4○D4φ: trivial image244Q8:7D696,215
Q88D6 = D4○D12φ: trivial image244+Q8:8D696,216

Non-split extensions G=N.Q with N=Q8 and Q=D6
extensionφ:Q→Out NdρLabelID
Q8.1D6 = C2×CSU2(𝔽3)φ: D6/C2S3 ⊆ Out Q832Q8.1D696,188
Q8.2D6 = Q8.D6φ: D6/C2S3 ⊆ Out Q8164-Q8.2D696,190
Q8.3D6 = C4.S4φ: D6/C2S3 ⊆ Out Q8324-Q8.3D696,191
Q8.4D6 = C4.6S4φ: D6/C2S3 ⊆ Out Q8162Q8.4D696,192
Q8.5D6 = C4.3S4φ: D6/C2S3 ⊆ Out Q8164+Q8.5D696,193
Q8.6D6 = D4.D6φ: D6/S3C2 ⊆ Out Q8484-Q8.6D696,122
Q8.7D6 = Q8.7D6φ: D6/S3C2 ⊆ Out Q8484Q8.7D696,123
Q8.8D6 = S3×Q16φ: D6/S3C2 ⊆ Out Q8484-Q8.8D696,124
Q8.9D6 = Q16⋊S3φ: D6/S3C2 ⊆ Out Q8484Q8.9D696,125
Q8.10D6 = D24⋊C2φ: D6/S3C2 ⊆ Out Q8484+Q8.10D696,126
Q8.11D6 = Q8.11D6φ: D6/C6C2 ⊆ Out Q8484Q8.11D696,149
Q8.12D6 = C2×C3⋊Q16φ: D6/C6C2 ⊆ Out Q896Q8.12D696,150
Q8.13D6 = Q8.13D6φ: D6/C6C2 ⊆ Out Q8484Q8.13D696,157
Q8.14D6 = Q8.14D6φ: D6/C6C2 ⊆ Out Q8484-Q8.14D696,158
Q8.15D6 = Q8.15D6φ: trivial image484Q8.15D696,214
Q8.16D6 = Q8○D12φ: trivial image484-Q8.16D696,217

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