# Extensions 1→N→G→Q→1 with N=C12.10D4 and Q=C2

Direct product G=N×Q with N=C12.10D4 and Q=C2
dρLabelID
C2×C12.10D496C2xC12.10D4192,785

Semidirect products G=N:Q with N=C12.10D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C12.10D41C2 = (C2×C4).D12φ: C2/C1C2 ⊆ Out C12.10D4488+C12.10D4:1C2192,36
C12.10D42C2 = C42.Dic3φ: C2/C1C2 ⊆ Out C12.10D4484C12.10D4:2C2192,101
C12.10D43C2 = S3×C4.10D4φ: C2/C1C2 ⊆ Out C12.10D4488-C12.10D4:3C2192,309
C12.10D44C2 = M4(2).21D6φ: C2/C1C2 ⊆ Out C12.10D4488+C12.10D4:4C2192,310
C12.10D45C2 = D12.14D4φ: C2/C1C2 ⊆ Out C12.10D4484C12.10D4:5C2192,621
C12.10D46C2 = D12.15D4φ: C2/C1C2 ⊆ Out C12.10D4484C12.10D4:6C2192,654
C12.10D47C2 = C24.44D4φ: C2/C1C2 ⊆ Out C12.10D4484C12.10D4:7C2192,736
C12.10D48C2 = C24.29D4φ: C2/C1C2 ⊆ Out C12.10D4964C12.10D4:8C2192,751
C12.10D49C2 = M4(2).15D6φ: C2/C1C2 ⊆ Out C12.10D4488+C12.10D4:9C2192,762
C12.10D410C2 = M4(2).16D6φ: C2/C1C2 ⊆ Out C12.10D4968-C12.10D4:10C2192,763
C12.10D411C2 = 2- 1+44S3φ: C2/C1C2 ⊆ Out C12.10D4488+C12.10D4:11C2192,804
C12.10D412C2 = 2- 1+4.2S3φ: C2/C1C2 ⊆ Out C12.10D4488-C12.10D4:12C2192,805
C12.10D413C2 = (C6×D4).16C4φ: trivial image484C12.10D4:13C2192,796

Non-split extensions G=N.Q with N=C12.10D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C12.10D4.1C2 = (C2×C12).D4φ: C2/C1C2 ⊆ Out C12.10D4488-C12.10D4.1C2192,37
C12.10D4.2C2 = C42.3Dic3φ: C2/C1C2 ⊆ Out C12.10D4484C12.10D4.2C2192,107

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