Extensions 1→N→G→Q→1 with N=C5⋊D4 and Q=C4

Direct product G=N×Q with N=C5⋊D4 and Q=C4
dρLabelID
C4×C5⋊D480C4xC5:D4160,149

Semidirect products G=N:Q with N=C5⋊D4 and Q=C4
extensionφ:Q→Out NdρLabelID
C5⋊D4⋊C4 = D4×F5φ: C4/C1C4 ⊆ Out C5⋊D4208+C5:D4:C4160,207
C5⋊D42C4 = Dic54D4φ: C4/C2C2 ⊆ Out C5⋊D480C5:D4:2C4160,102

Non-split extensions G=N.Q with N=C5⋊D4 and Q=C4
extensionφ:Q→Out NdρLabelID
C5⋊D4.C4 = D4.F5φ: C4/C1C4 ⊆ Out C5⋊D4808-C5:D4.C4160,206
C5⋊D4.2C4 = D20.2C4φ: C4/C2C2 ⊆ Out C5⋊D4804C5:D4.2C4160,128
C5⋊D4.3C4 = D20.3C4φ: trivial image802C5:D4.3C4160,122

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