# Extensions 1→N→G→Q→1 with N=C210 and Q=C2

Direct product G=N×Q with N=C210 and Q=C2
dρLabelID
C2×C210420C2xC210420,41

Semidirect products G=N:Q with N=C210 and Q=C2
extensionφ:Q→Aut NdρLabelID
C2101C2 = D210φ: C2/C1C2 ⊆ Aut C2102102+C210:1C2420,40
C2102C2 = C6×D35φ: C2/C1C2 ⊆ Aut C2102102C210:2C2420,36
C2103C2 = C10×D21φ: C2/C1C2 ⊆ Aut C2102102C210:3C2420,38
C2104C2 = C14×D15φ: C2/C1C2 ⊆ Aut C2102102C210:4C2420,39
C2105C2 = D7×C30φ: C2/C1C2 ⊆ Aut C2102102C210:5C2420,34
C2106C2 = D5×C42φ: C2/C1C2 ⊆ Aut C2102102C210:6C2420,35
C2107C2 = S3×C70φ: C2/C1C2 ⊆ Aut C2102102C210:7C2420,37

Non-split extensions G=N.Q with N=C210 and Q=C2
extensionφ:Q→Aut NdρLabelID
C210.1C2 = Dic105φ: C2/C1C2 ⊆ Aut C2104202-C210.1C2420,11
C210.2C2 = C3×Dic35φ: C2/C1C2 ⊆ Aut C2104202C210.2C2420,7
C210.3C2 = C5×Dic21φ: C2/C1C2 ⊆ Aut C2104202C210.3C2420,9
C210.4C2 = C7×Dic15φ: C2/C1C2 ⊆ Aut C2104202C210.4C2420,10
C210.5C2 = C15×Dic7φ: C2/C1C2 ⊆ Aut C2104202C210.5C2420,5
C210.6C2 = Dic5×C21φ: C2/C1C2 ⊆ Aut C2104202C210.6C2420,6
C210.7C2 = Dic3×C35φ: C2/C1C2 ⊆ Aut C2104202C210.7C2420,8

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