# Extensions 1→N→G→Q→1 with N=C12.28D10 and Q=C2

Direct product G=N×Q with N=C12.28D10 and Q=C2
dρLabelID
C2×C12.28D10240C2xC12.28D10480,1085

Semidirect products G=N:Q with N=C12.28D10 and Q=C2
extensionφ:Q→Out NdρLabelID
C12.28D101C2 = D20.9D6φ: C2/C1C2 ⊆ Out C12.28D101208+C12.28D10:1C2480,567
C12.28D102C2 = C60.16C23φ: C2/C1C2 ⊆ Out C12.28D102408+C12.28D10:2C2480,568
C12.28D103C2 = D20.D6φ: C2/C1C2 ⊆ Out C12.28D102408+C12.28D10:3C2480,592
C12.28D104C2 = D30.C23φ: C2/C1C2 ⊆ Out C12.28D101208+C12.28D10:4C2480,1100
C12.28D105C2 = D2014D6φ: C2/C1C2 ⊆ Out C12.28D101208+C12.28D10:5C2480,1102
C12.28D106C2 = C30.33C24φ: C2/C1C2 ⊆ Out C12.28D102408+C12.28D10:6C2480,1105
C12.28D107C2 = S3×Q82D5φ: C2/C1C2 ⊆ Out C12.28D101208+C12.28D10:7C2480,1109
C12.28D108C2 = C24⋊D10φ: C2/C1C2 ⊆ Out C12.28D101204+C12.28D10:8C2480,325
C12.28D109C2 = C40.31D6φ: C2/C1C2 ⊆ Out C12.28D102404C12.28D10:9C2480,345
C12.28D1010C2 = D120⋊C2φ: C2/C1C2 ⊆ Out C12.28D102404+C12.28D10:10C2480,347
C12.28D1011C2 = D20.38D6φ: C2/C1C2 ⊆ Out C12.28D102404C12.28D10:11C2480,1076
C12.28D1012C2 = D2029D6φ: C2/C1C2 ⊆ Out C12.28D101204+C12.28D10:12C2480,1095
C12.28D1013C2 = D5×C4○D12φ: trivial image1204C12.28D10:13C2480,1090

Non-split extensions G=N.Q with N=C12.28D10 and Q=C2
extensionφ:Q→Out NdρLabelID
C12.28D10.1C2 = C60.39C23φ: C2/C1C2 ⊆ Out C12.28D102408+C12.28D10.1C2480,591
C12.28D10.2C2 = C24.2D10φ: C2/C1C2 ⊆ Out C12.28D102404C12.28D10.2C2480,337
C12.28D10.3C2 = D602C4φ: C2/C1C2 ⊆ Out C12.28D101208+C12.28D10.3C2480,233
C12.28D10.4C2 = Dic6.F5φ: C2/C1C2 ⊆ Out C12.28D102408+C12.28D10.4C2480,992
C12.28D10.5C2 = D605C4φ: C2/C1C2 ⊆ Out C12.28D101208+C12.28D10.5C2480,234
C12.28D10.6C2 = D60.C4φ: C2/C1C2 ⊆ Out C12.28D102408+C12.28D10.6C2480,990

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