# Extensions 1→N→G→Q→1 with N=C16 and Q=D6

Direct product G=N×Q with N=C16 and Q=D6
dρLabelID
S3×C2×C1696S3xC2xC16192,458

Semidirect products G=N:Q with N=C16 and Q=D6
extensionφ:Q→Aut NdρLabelID
C161D6 = C16⋊D6φ: D6/C3C22 ⊆ Aut C16484+C16:1D6192,467
C162D6 = D8⋊D6φ: D6/C3C22 ⊆ Aut C16484C16:2D6192,470
C163D6 = D48⋊C2φ: D6/C3C22 ⊆ Aut C16484+C16:3D6192,473
C164D6 = S3×D16φ: D6/S3C2 ⊆ Aut C16484+C16:4D6192,469
C165D6 = S3×SD32φ: D6/S3C2 ⊆ Aut C16484C16:5D6192,472
C166D6 = S3×M5(2)φ: D6/S3C2 ⊆ Aut C16484C16:6D6192,465
C167D6 = C2×D48φ: D6/C6C2 ⊆ Aut C1696C16:7D6192,461
C168D6 = C2×C48⋊C2φ: D6/C6C2 ⊆ Aut C1696C16:8D6192,462
C169D6 = C2×D6.C8φ: D6/C6C2 ⊆ Aut C1696C16:9D6192,459

Non-split extensions G=N.Q with N=C16 and Q=D6
extensionφ:Q→Aut NdρLabelID
C16.1D6 = C16.D6φ: D6/C3C22 ⊆ Aut C16964-C16.1D6192,468
C16.2D6 = SD32⋊S3φ: D6/C3C22 ⊆ Aut C16964-C16.2D6192,474
C16.3D6 = Q32⋊S3φ: D6/C3C22 ⊆ Aut C16964C16.3D6192,477
C16.4D6 = C3⋊D32φ: D6/S3C2 ⊆ Aut C16964+C16.4D6192,78
C16.5D6 = D16.S3φ: D6/S3C2 ⊆ Aut C16964-C16.5D6192,79
C16.6D6 = C3⋊SD64φ: D6/S3C2 ⊆ Aut C16964+C16.6D6192,80
C16.7D6 = C3⋊Q64φ: D6/S3C2 ⊆ Aut C161924-C16.7D6192,81
C16.8D6 = D163S3φ: D6/S3C2 ⊆ Aut C16964-C16.8D6192,471
C16.9D6 = S3×Q32φ: D6/S3C2 ⊆ Aut C16964-C16.9D6192,476
C16.10D6 = D485C2φ: D6/S3C2 ⊆ Aut C16964+C16.10D6192,478
C16.11D6 = D6.2D8φ: D6/S3C2 ⊆ Aut C16964C16.11D6192,475
C16.12D6 = C16.12D6φ: D6/S3C2 ⊆ Aut C16964C16.12D6192,466
C16.13D6 = D96φ: D6/C6C2 ⊆ Aut C16962+C16.13D6192,7
C16.14D6 = C32⋊S3φ: D6/C6C2 ⊆ Aut C16962C16.14D6192,8
C16.15D6 = Dic48φ: D6/C6C2 ⊆ Aut C161922-C16.15D6192,9
C16.16D6 = D487C2φ: D6/C6C2 ⊆ Aut C16962C16.16D6192,463
C16.17D6 = C2×Dic24φ: D6/C6C2 ⊆ Aut C16192C16.17D6192,464
C16.18D6 = D12.4C8φ: D6/C6C2 ⊆ Aut C16962C16.18D6192,460
C16.19D6 = S3×C32central extension (φ=1)962C16.19D6192,5
C16.20D6 = C96⋊C2central extension (φ=1)962C16.20D6192,6
C16.21D6 = C2×C3⋊C32central extension (φ=1)192C16.21D6192,57
C16.22D6 = C3⋊M6(2)central extension (φ=1)962C16.22D6192,58

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