Extensions 1→N→G→Q→1 with N=C52C16 and Q=C2

Direct product G=N×Q with N=C52C16 and Q=C2
dρLabelID
C2×C52C16160C2xC5:2C16160,18

Semidirect products G=N:Q with N=C52C16 and Q=C2
extensionφ:Q→Out NdρLabelID
C52C161C2 = C5⋊D16φ: C2/C1C2 ⊆ Out C52C16804+C5:2C16:1C2160,33
C52C162C2 = D8.D5φ: C2/C1C2 ⊆ Out C52C16804-C5:2C16:2C2160,34
C52C163C2 = C5⋊SD32φ: C2/C1C2 ⊆ Out C52C16804+C5:2C16:3C2160,35
C52C164C2 = C80⋊C2φ: C2/C1C2 ⊆ Out C52C16802C5:2C16:4C2160,5
C52C165C2 = C20.4C8φ: C2/C1C2 ⊆ Out C52C16802C5:2C16:5C2160,19
C52C166C2 = D5×C16φ: trivial image802C5:2C16:6C2160,4

Non-split extensions G=N.Q with N=C52C16 and Q=C2
extensionφ:Q→Out NdρLabelID
C52C16.1C2 = C5⋊Q32φ: C2/C1C2 ⊆ Out C52C161604-C5:2C16.1C2160,36
C52C16.2C2 = C5⋊C32φ: C2/C1C2 ⊆ Out C52C161604C5:2C16.2C2160,3

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