Extensions 1→N→G→Q→1 with N=C32 and Q=D15

Direct product G=N×Q with N=C32 and Q=D15
dρLabelID
C32×D1590C3^2xD15270,25

Semidirect products G=N:Q with N=C32 and Q=D15
extensionφ:Q→Aut NdρLabelID
C321D15 = He3⋊D5φ: D15/C5S3 ⊆ Aut C32456+C3^2:1D15270,14
C322D15 = C32⋊D15φ: D15/C5S3 ⊆ Aut C32456C3^2:2D15270,19
C323D15 = C3×C3⋊D15φ: D15/C15C2 ⊆ Aut C3290C3^2:3D15270,27
C324D15 = C33⋊D5φ: D15/C15C2 ⊆ Aut C32135C3^2:4D15270,29

Non-split extensions G=N.Q with N=C32 and Q=D15
extensionφ:Q→Aut NdρLabelID
C32.D15 = D45⋊C3φ: D15/C5S3 ⊆ Aut C32456+C3^2.D15270,15
C32.2D15 = C3×D45φ: D15/C15C2 ⊆ Aut C32902C3^2.2D15270,12
C32.3D15 = C3⋊D45φ: D15/C15C2 ⊆ Aut C32135C3^2.3D15270,18

׿
×
𝔽