Extensions 1→N→G→Q→1 with N=C24 and Q=D9

Direct product G=NxQ with N=C24 and Q=D9
dρLabelID
C24xD9144C2^4xD9288,839

Semidirect products G=N:Q with N=C24 and Q=D9
extensionφ:Q→Aut NdρLabelID
C24:1D9 = C23.D18φ: D9/C3S3 ⊆ Aut C24366C2^4:1D9288,342
C24:2D9 = C22xC3.S4φ: D9/C3S3 ⊆ Aut C2436C2^4:2D9288,835
C24:3D9 = C24:D9φ: D9/C3S3 ⊆ Aut C24366C2^4:3D9288,836
C24:4D9 = C24:4D9φ: D9/C9C2 ⊆ Aut C2472C2^4:4D9288,163
C24:5D9 = C22xC9:D4φ: D9/C9C2 ⊆ Aut C24144C2^4:5D9288,366

Non-split extensions G=N.Q with N=C24 and Q=D9
extensionφ:Q→Aut NdρLabelID
C24.D9 = C2xC6.S4φ: D9/C3S3 ⊆ Aut C2472C2^4.D9288,341
C24.2D9 = C2xC18.D4φ: D9/C9C2 ⊆ Aut C24144C2^4.2D9288,162
C24.3D9 = C23xDic9central extension (φ=1)288C2^4.3D9288,365

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