Extensions 1→N→G→Q→1 with N=D10.D4 and Q=C2

Direct product G=NxQ with N=D10.D4 and Q=C2
dρLabelID
C2xD10.D480C2xD10.D4320,1082

Semidirect products G=N:Q with N=D10.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D10.D4:1C2 = C42:F5φ: C2/C1C2 ⊆ Out D10.D4404+D10.D4:1C2320,191
D10.D4:2C2 = (C2xD4):F5φ: C2/C1C2 ⊆ Out D10.D4408+D10.D4:2C2320,260
D10.D4:3C2 = (C2xD4):7F5φ: C2/C1C2 ⊆ Out D10.D4408+D10.D4:3C2320,1108
D10.D4:4C2 = (C2xQ8):7F5φ: C2/C1C2 ⊆ Out D10.D4808+D10.D4:4C2320,1123
D10.D4:5C2 = C23:F5:5C2φ: trivial image804D10.D4:5C2320,1083

Non-split extensions G=N.Q with N=D10.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D10.D4.1C2 = C42:2F5φ: C2/C1C2 ⊆ Out D10.D4804D10.D4.1C2320,192
D10.D4.2C2 = (C2xQ8):F5φ: C2/C1C2 ⊆ Out D10.D4808+D10.D4.2C2320,266

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