Extensions 1→N→G→Q→1 with N=C4.10D4 and Q=C10

Direct product G=N×Q with N=C4.10D4 and Q=C10
dρLabelID
C10×C4.10D4160C10xC4.10D4320,913

Semidirect products G=N:Q with N=C4.10D4 and Q=C10
extensionφ:Q→Out NdρLabelID
C4.10D41C10 = C5×D4.8D4φ: C10/C5C2 ⊆ Out C4.10D4804C4.10D4:1C10320,955
C4.10D42C10 = C5×D4.10D4φ: C10/C5C2 ⊆ Out C4.10D4804C4.10D4:2C10320,957
C4.10D43C10 = C5×D4.3D4φ: C10/C5C2 ⊆ Out C4.10D4804C4.10D4:3C10320,972
C4.10D44C10 = C5×D4.5D4φ: C10/C5C2 ⊆ Out C4.10D41604C4.10D4:4C10320,974
C4.10D45C10 = C5×C42.C4φ: C10/C5C2 ⊆ Out C4.10D4804C4.10D4:5C10320,160
C4.10D46C10 = C5×M4(2).8C22φ: trivial image804C4.10D4:6C10320,914

Non-split extensions G=N.Q with N=C4.10D4 and Q=C10
extensionφ:Q→Out NdρLabelID
C4.10D4.C10 = C5×C42.3C4φ: C10/C5C2 ⊆ Out C4.10D4804C4.10D4.C10320,161

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