Extensions 1→N→G→Q→1 with N=C3 and Q=C15⋊7D4

Direct product G=N×Q with N=C3 and Q=C15⋊7D4
dρLabelID
C3×C15⋊7D4602C3xC15:7D4360,104

Semidirect products G=N:Q with N=C3 and Q=C15⋊7D4
extensionφ:Q→Aut NdρLabelID
C3⋊1(C15⋊7D4) = D6⋊2D15φ: C15⋊7D4/Dic15 → C2 ⊆ Aut C3604+C3:1(C15:7D4)360,82
C3⋊2(C15⋊7D4) = D6⋊D15φ: C15⋊7D4/D30 → C2 ⊆ Aut C31204-C3:2(C15:7D4)360,80
C3⋊3(C15⋊7D4) = C62⋊D5φ: C15⋊7D4/C2×C30 → C2 ⊆ Aut C3180C3:3(C15:7D4)360,114

Non-split extensions G=N.Q with N=C3 and Q=C15⋊7D4
extensionφ:Q→Aut NdρLabelID
C3.(C15⋊7D4) = C45⋊7D4φ: C15⋊7D4/C2×C30 → C2 ⊆ Aut C31802C3.(C15:7D4)360,29

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