Extensions 1→N→G→Q→1 with N=C40.9C4 and Q=C2

Direct product G=N×Q with N=C40.9C4 and Q=C2
dρLabelID
C2×C40.9C4160C2xC40.9C4320,724

Semidirect products G=N:Q with N=C40.9C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C40.9C41C2 = D8.Dic5φ: C2/C1C2 ⊆ Out C40.9C4804C40.9C4:1C2320,121
C40.9C42C2 = D8.D10φ: C2/C1C2 ⊆ Out C40.9C4804C40.9C4:2C2320,774
C40.9C43C2 = Q16.D10φ: C2/C1C2 ⊆ Out C40.9C41604C40.9C4:3C2320,806
C40.9C44C2 = D4014C4φ: C2/C1C2 ⊆ Out C40.9C4804C40.9C4:4C2320,46
C40.9C45C2 = D40.6C4φ: C2/C1C2 ⊆ Out C40.9C4804+C40.9C4:5C2320,53
C40.9C46C2 = D8⋊D10φ: C2/C1C2 ⊆ Out C40.9C4804+C40.9C4:6C2320,820
C40.9C47C2 = C40.31C23φ: C2/C1C2 ⊆ Out C40.9C41604-C40.9C4:7C2320,822
C40.9C48C2 = D82Dic5φ: C2/C1C2 ⊆ Out C40.9C4804C40.9C4:8C2320,124
C40.9C49C2 = D20.3C8φ: C2/C1C2 ⊆ Out C40.9C41602C40.9C4:9C2320,66
C40.9C410C2 = M5(2)⋊D5φ: C2/C1C2 ⊆ Out C40.9C4804C40.9C4:10C2320,72
C40.9C411C2 = C40.D4φ: C2/C1C2 ⊆ Out C40.9C4804C40.9C4:11C2320,111
C40.9C412C2 = C40.92D4φ: C2/C1C2 ⊆ Out C40.9C41604C40.9C4:12C2320,119
C40.9C413C2 = D5×M5(2)φ: C2/C1C2 ⊆ Out C40.9C4804C40.9C4:13C2320,533
C40.9C414C2 = C40.70C23φ: C2/C1C2 ⊆ Out C40.9C41604C40.9C4:14C2320,767
C40.9C415C2 = D20.6C8φ: trivial image1602C40.9C4:15C2320,528

Non-split extensions G=N.Q with N=C40.9C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C40.9C4.1C2 = Q16.Dic5φ: C2/C1C2 ⊆ Out C40.9C41604C40.9C4.1C2320,123
C40.9C4.2C2 = C8.Dic10φ: C2/C1C2 ⊆ Out C40.9C4804C40.9C4.2C2320,45
C40.9C4.3C2 = C40.8D4φ: C2/C1C2 ⊆ Out C40.9C41604-C40.9C4.3C2320,54
C40.9C4.4C2 = C40.6Q8φ: C2/C1C2 ⊆ Out C40.9C4804C40.9C4.4C2320,52
C40.9C4.5C2 = C40.7C8φ: C2/C1C2 ⊆ Out C40.9C4802C40.9C4.5C2320,21
C40.9C4.6C2 = C20.45C42φ: C2/C1C2 ⊆ Out C40.9C4804C40.9C4.6C2320,24
C40.9C4.7C2 = C40.9Q8φ: C2/C1C2 ⊆ Out C40.9C4804C40.9C4.7C2320,69
C40.9C4.8C2 = C80⋊C4φ: C2/C1C2 ⊆ Out C40.9C4804C40.9C4.8C2320,70

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