Extensions 1→N→G→Q→1 with N=C8:D5 and Q=C4

Direct product G=NxQ with N=C8:D5 and Q=C4
dρLabelID
C4xC8:D5160C4xC8:D5320,314

Semidirect products G=N:Q with N=C8:D5 and Q=C4
extensionφ:Q→Out NdρLabelID
C8:D5:1C4 = M4(2):1F5φ: C4/C1C4 ⊆ Out C8:D5408C8:D5:1C4320,1065
C8:D5:2C4 = M4(2)xF5φ: C4/C1C4 ⊆ Out C8:D5408C8:D5:2C4320,1064
C8:D5:3C4 = M4(2):5F5φ: C4/C1C4 ⊆ Out C8:D5808C8:D5:3C4320,1066
C8:D5:4C4 = C8:(C4xD5)φ: C4/C2C2 ⊆ Out C8:D5160C8:D5:4C4320,488
C8:D5:5C4 = C40:20(C2xC4)φ: C4/C2C2 ⊆ Out C8:D5160C8:D5:5C4320,508
C8:D5:6C4 = D10.6C42φ: C4/C2C2 ⊆ Out C8:D5160C8:D5:6C4320,334
C8:D5:7C4 = D10.7C42φ: C4/C2C2 ⊆ Out C8:D5160C8:D5:7C4320,335
C8:D5:8C4 = D10.5C42φ: trivial image160C8:D5:8C4320,316

Non-split extensions G=N.Q with N=C8:D5 and Q=C4
extensionφ:Q→Out NdρLabelID
C8:D5.1C4 = M4(2).1F5φ: C4/C1C4 ⊆ Out C8:D5808C8:D5.1C4320,1067
C8:D5.2C4 = Dic10.C8φ: C4/C1C4 ⊆ Out C8:D51608C8:D5.2C4320,1063
C8:D5.3C4 = M4(2).25D10φ: C4/C2C2 ⊆ Out C8:D5804C8:D5.3C4320,520
C8:D5.4C4 = D20.5C8φ: C4/C2C2 ⊆ Out C8:D51604C8:D5.4C4320,534
C8:D5.5C4 = D20.6C8φ: trivial image1602C8:D5.5C4320,528

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