# Extensions 1→N→G→Q→1 with N=C3⋊C16 and Q=C22

Direct product G=N×Q with N=C3⋊C16 and Q=C22
dρLabelID
C22×C3⋊C16192C2^2xC3:C16192,655

Semidirect products G=N:Q with N=C3⋊C16 and Q=C22
extensionφ:Q→Out NdρLabelID
C3⋊C161C22 = D8⋊D6φ: C22/C1C22 ⊆ Out C3⋊C16484C3:C16:1C2^2192,470
C3⋊C162C22 = D48⋊C2φ: C22/C1C22 ⊆ Out C3⋊C16484+C3:C16:2C2^2192,473
C3⋊C163C22 = D8.D6φ: C22/C1C22 ⊆ Out C3⋊C16484C3:C16:3C2^2192,706
C3⋊C164C22 = Q16⋊D6φ: C22/C1C22 ⊆ Out C3⋊C16484+C3:C16:4C2^2192,752
C3⋊C165C22 = S3×D16φ: C22/C2C2 ⊆ Out C3⋊C16484+C3:C16:5C2^2192,469
C3⋊C166C22 = S3×SD32φ: C22/C2C2 ⊆ Out C3⋊C16484C3:C16:6C2^2192,472
C3⋊C167C22 = C2×C3⋊D16φ: C22/C2C2 ⊆ Out C3⋊C1696C3:C16:7C2^2192,705
C3⋊C168C22 = C2×D8.S3φ: C22/C2C2 ⊆ Out C3⋊C1696C3:C16:8C2^2192,707
C3⋊C169C22 = C2×C8.6D6φ: C22/C2C2 ⊆ Out C3⋊C1696C3:C16:9C2^2192,737
C3⋊C1610C22 = C2×D6.C8φ: C22/C2C2 ⊆ Out C3⋊C1696C3:C16:10C2^2192,459
C3⋊C1611C22 = S3×M5(2)φ: C22/C2C2 ⊆ Out C3⋊C16484C3:C16:11C2^2192,465
C3⋊C1612C22 = C2×C12.C8φ: C22/C2C2 ⊆ Out C3⋊C1696C3:C16:12C2^2192,656
C3⋊C1613C22 = S3×C2×C16φ: trivial image96C3:C16:13C2^2192,458

Non-split extensions G=N.Q with N=C3⋊C16 and Q=C22
extensionφ:Q→Out NdρLabelID
C3⋊C16.1C22 = SD32⋊S3φ: C22/C1C22 ⊆ Out C3⋊C16964-C3:C16.1C2^2192,474
C3⋊C16.2C22 = Q32⋊S3φ: C22/C1C22 ⊆ Out C3⋊C16964C3:C16.2C2^2192,477
C3⋊C16.3C22 = C24.27C23φ: C22/C1C22 ⊆ Out C3⋊C16964C3:C16.3C2^2192,738
C3⋊C16.4C22 = D8.9D6φ: C22/C1C22 ⊆ Out C3⋊C16964-C3:C16.4C2^2192,754
C3⋊C16.5C22 = D163S3φ: C22/C2C2 ⊆ Out C3⋊C16964-C3:C16.5C2^2192,471
C3⋊C16.6C22 = D6.2D8φ: C22/C2C2 ⊆ Out C3⋊C16964C3:C16.6C2^2192,475
C3⋊C16.7C22 = S3×Q32φ: C22/C2C2 ⊆ Out C3⋊C16964-C3:C16.7C2^2192,476
C3⋊C16.8C22 = D485C2φ: C22/C2C2 ⊆ Out C3⋊C16964+C3:C16.8C2^2192,478
C3⋊C16.9C22 = C2×C3⋊Q32φ: C22/C2C2 ⊆ Out C3⋊C16192C3:C16.9C2^2192,739
C3⋊C16.10C22 = Q16.D6φ: C22/C2C2 ⊆ Out C3⋊C16964C3:C16.10C2^2192,753
C3⋊C16.11C22 = D12.4C8φ: C22/C2C2 ⊆ Out C3⋊C16962C3:C16.11C2^2192,460
C3⋊C16.12C22 = C24.78C23φ: C22/C2C2 ⊆ Out C3⋊C16964C3:C16.12C2^2192,699
C3⋊C16.13C22 = C16.12D6φ: trivial image964C3:C16.13C2^2192,466

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