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Extensions 1→N→G→Q→1 with N=C5 and Q=C4⋊C4⋊7S3

Direct product G=N×Q with N=C5 and Q=C4⋊C4⋊7S3
dρLabelID
C5×C4⋊C4⋊7S3240C5xC4:C4:7S3480,771

Semidirect products G=N:Q with N=C5 and Q=C4⋊C4⋊7S3
extensionφ:Q→Aut NdρLabelID
C5⋊(C4⋊C4⋊7S3) = C4⋊F5⋊3S3φ: C4⋊C4⋊7S3/C4×S3 → C4 ⊆ Aut C51208C5:(C4:C4:7S3)480,983
C5⋊2(C4⋊C4⋊7S3) = D30.23(C2×C4)φ: C4⋊C4⋊7S3/C4×Dic3 → C2 ⊆ Aut C5240C5:2(C4:C4:7S3)480,479
C5⋊3(C4⋊C4⋊7S3) = (C4×D15)⋊8C4φ: C4⋊C4⋊7S3/C4⋊Dic3 → C2 ⊆ Aut C5240C5:3(C4:C4:7S3)480,423
C5⋊4(C4⋊C4⋊7S3) = (S3×Dic5)⋊C4φ: C4⋊C4⋊7S3/D6⋊C4 → C2 ⊆ Aut C5240C5:4(C4:C4:7S3)480,476
C5⋊5(C4⋊C4⋊7S3) = C4⋊C4⋊7D15φ: C4⋊C4⋊7S3/C3×C4⋊C4 → C2 ⊆ Aut C5240C5:5(C4:C4:7S3)480,857
C5⋊6(C4⋊C4⋊7S3) = (S3×C20)⋊5C4φ: C4⋊C4⋊7S3/S3×C2×C4 → C2 ⊆ Aut C5240C5:6(C4:C4:7S3)480,414


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