Extensions 1→N→G→Q→1 with N=C23 and Q=D15

Direct product G=N×Q with N=C23 and Q=D15
dρLabelID
C23×D15120C2^3xD15240,207

Semidirect products G=N:Q with N=C23 and Q=D15
extensionφ:Q→Aut NdρLabelID
C23⋊D15 = C2×C5⋊S4φ: D15/C5S3 ⊆ Aut C23306+C2^3:D15240,197
C232D15 = C2×C157D4φ: D15/C15C2 ⊆ Aut C23120C2^3:2D15240,184

Non-split extensions G=N.Q with N=C23 and Q=D15
extensionφ:Q→Aut NdρLabelID
C23.D15 = A4⋊Dic5φ: D15/C5S3 ⊆ Aut C23606-C2^3.D15240,107
C23.2D15 = C30.38D4φ: D15/C15C2 ⊆ Aut C23120C2^3.2D15240,80
C23.3D15 = C22×Dic15central extension (φ=1)240C2^3.3D15240,183

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