# Extensions 1→N→G→Q→1 with N=C8○D4 and Q=C10

Direct product G=N×Q with N=C8○D4 and Q=C10
dρLabelID
C10×C8○D4160C10xC8oD4320,1569

Semidirect products G=N:Q with N=C8○D4 and Q=C10
extensionφ:Q→Out NdρLabelID
C8○D41C10 = C5×D4.3D4φ: C10/C5C2 ⊆ Out C8○D4804C8oD4:1C10320,972
C8○D42C10 = C5×D4.4D4φ: C10/C5C2 ⊆ Out C8○D4804C8oD4:2C10320,973
C8○D43C10 = C5×D4○D8φ: C10/C5C2 ⊆ Out C8○D4804C8oD4:3C10320,1578
C8○D44C10 = C5×D4○SD16φ: C10/C5C2 ⊆ Out C8○D4804C8oD4:4C10320,1579
C8○D45C10 = C5×Q8○D8φ: C10/C5C2 ⊆ Out C8○D41604C8oD4:5C10320,1580
C8○D46C10 = C5×C8○D8φ: C10/C5C2 ⊆ Out C8○D4802C8oD4:6C10320,944
C8○D47C10 = C5×C8.26D4φ: C10/C5C2 ⊆ Out C8○D4804C8oD4:7C10320,945
C8○D48C10 = C5×Q8○M4(2)φ: C10/C5C2 ⊆ Out C8○D4804C8oD4:8C10320,1570

Non-split extensions G=N.Q with N=C8○D4 and Q=C10
extensionφ:Q→Out NdρLabelID
C8○D4.1C10 = C5×D4.5D4φ: C10/C5C2 ⊆ Out C8○D41604C8oD4.1C10320,974
C8○D4.2C10 = C5×D4.C8φ: C10/C5C2 ⊆ Out C8○D41602C8oD4.2C10320,155
C8○D4.3C10 = C5×D4○C16φ: trivial image1602C8oD4.3C10320,1005

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