# Extensions 1→N→G→Q→1 with N=C5⋊2C16 and Q=C22

Direct product G=N×Q with N=C52C16 and Q=C22
dρLabelID
C22×C52C16320C2^2xC5:2C16320,723

Semidirect products G=N:Q with N=C52C16 and Q=C22
extensionφ:Q→Out NdρLabelID
C52C161C22 = D16⋊D5φ: C22/C1C22 ⊆ Out C52C16804C5:2C16:1C2^2320,538
C52C162C22 = C16⋊D10φ: C22/C1C22 ⊆ Out C52C16804+C5:2C16:2C2^2320,541
C52C163C22 = D8.D10φ: C22/C1C22 ⊆ Out C52C16804C5:2C16:3C2^2320,774
C52C164C22 = D8⋊D10φ: C22/C1C22 ⊆ Out C52C16804+C5:2C16:4C2^2320,820
C52C165C22 = D5×D16φ: C22/C2C2 ⊆ Out C52C16804+C5:2C16:5C2^2320,537
C52C166C22 = D5×SD32φ: C22/C2C2 ⊆ Out C52C16804C5:2C16:6C2^2320,540
C52C167C22 = C2×C5⋊D16φ: C22/C2C2 ⊆ Out C52C16160C5:2C16:7C2^2320,773
C52C168C22 = C2×D8.D5φ: C22/C2C2 ⊆ Out C52C16160C5:2C16:8C2^2320,775
C52C169C22 = C2×C5⋊SD32φ: C22/C2C2 ⊆ Out C52C16160C5:2C16:9C2^2320,805
C52C1610C22 = C2×C80⋊C2φ: C22/C2C2 ⊆ Out C52C16160C5:2C16:10C2^2320,527
C52C1611C22 = D5×M5(2)φ: C22/C2C2 ⊆ Out C52C16804C5:2C16:11C2^2320,533
C52C1612C22 = C2×C20.4C8φ: C22/C2C2 ⊆ Out C52C16160C5:2C16:12C2^2320,724
C52C1613C22 = D5×C2×C16φ: trivial image160C5:2C16:13C2^2320,526

Non-split extensions G=N.Q with N=C52C16 and Q=C22
extensionφ:Q→Out NdρLabelID
C52C16.1C22 = SD32⋊D5φ: C22/C1C22 ⊆ Out C52C161604-C5:2C16.1C2^2320,542
C52C16.2C22 = Q32⋊D5φ: C22/C1C22 ⊆ Out C52C161604C5:2C16.2C2^2320,545
C52C16.3C22 = Q16.D10φ: C22/C1C22 ⊆ Out C52C161604C5:2C16.3C2^2320,806
C52C16.4C22 = C40.31C23φ: C22/C1C22 ⊆ Out C52C161604-C5:2C16.4C2^2320,822
C52C16.5C22 = D163D5φ: C22/C2C2 ⊆ Out C52C161604-C5:2C16.5C2^2320,539
C52C16.6C22 = SD323D5φ: C22/C2C2 ⊆ Out C52C161604C5:2C16.6C2^2320,543
C52C16.7C22 = D5×Q32φ: C22/C2C2 ⊆ Out C52C161604-C5:2C16.7C2^2320,544
C52C16.8C22 = D805C2φ: C22/C2C2 ⊆ Out C52C161604+C5:2C16.8C2^2320,546
C52C16.9C22 = C2×C5⋊Q32φ: C22/C2C2 ⊆ Out C52C16320C5:2C16.9C2^2320,807
C52C16.10C22 = C40.30C23φ: C22/C2C2 ⊆ Out C52C161604C5:2C16.10C2^2320,821
C52C16.11C22 = D20.6C8φ: C22/C2C2 ⊆ Out C52C161602C5:2C16.11C2^2320,528
C52C16.12C22 = C40.70C23φ: C22/C2C2 ⊆ Out C52C161604C5:2C16.12C2^2320,767
C52C16.13C22 = D5⋊C32φ: C22/C2C2 ⊆ Out C52C161604C5:2C16.13C2^2320,179
C52C16.14C22 = C80.C4φ: C22/C2C2 ⊆ Out C52C161604C5:2C16.14C2^2320,180
C52C16.15C22 = C2×C5⋊C32φ: C22/C2C2 ⊆ Out C52C16320C5:2C16.15C2^2320,214
C52C16.16C22 = C5⋊M6(2)φ: C22/C2C2 ⊆ Out C52C161604C5:2C16.16C2^2320,215
C52C16.17C22 = D20.5C8φ: trivial image1604C5:2C16.17C2^2320,534

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