Extensions 1→N→G→Q→1 with N=C4 and Q=D50

Direct product G=N×Q with N=C4 and Q=D50
dρLabelID
C2×C4×D25200C2xC4xD25400,36

Semidirect products G=N:Q with N=C4 and Q=D50
extensionφ:Q→Aut NdρLabelID
C41D50 = D4×D25φ: D50/D25C2 ⊆ Aut C41004+C4:1D50400,39
C42D50 = C2×D100φ: D50/C50C2 ⊆ Aut C4200C4:2D50400,37

Non-split extensions G=N.Q with N=C4 and Q=D50
extensionφ:Q→Aut NdρLabelID
C4.1D50 = D4.D25φ: D50/D25C2 ⊆ Aut C42004-C4.1D50400,15
C4.2D50 = D4⋊D25φ: D50/D25C2 ⊆ Aut C42004+C4.2D50400,16
C4.3D50 = C25⋊Q16φ: D50/D25C2 ⊆ Aut C44004-C4.3D50400,17
C4.4D50 = Q8⋊D25φ: D50/D25C2 ⊆ Aut C42004+C4.4D50400,18
C4.5D50 = D42D25φ: D50/D25C2 ⊆ Aut C42004-C4.5D50400,40
C4.6D50 = Q8×D25φ: D50/D25C2 ⊆ Aut C42004-C4.6D50400,41
C4.7D50 = Q82D25φ: D50/D25C2 ⊆ Aut C42004+C4.7D50400,42
C4.8D50 = Dic100φ: D50/C50C2 ⊆ Aut C44002-C4.8D50400,4
C4.9D50 = C200⋊C2φ: D50/C50C2 ⊆ Aut C42002C4.9D50400,7
C4.10D50 = D200φ: D50/C50C2 ⊆ Aut C42002+C4.10D50400,8
C4.11D50 = C2×Dic50φ: D50/C50C2 ⊆ Aut C4400C4.11D50400,35
C4.12D50 = C8×D25central extension (φ=1)2002C4.12D50400,5
C4.13D50 = C8⋊D25central extension (φ=1)2002C4.13D50400,6
C4.14D50 = C2×C252C8central extension (φ=1)400C4.14D50400,9
C4.15D50 = C4.Dic25central extension (φ=1)2002C4.15D50400,10
C4.16D50 = D1005C2central extension (φ=1)2002C4.16D50400,38

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