Extensions 1→N→G→Q→1 with N=C3×C6 and Q=C8

Direct product G=N×Q with N=C3×C6 and Q=C8
dρLabelID
C6×C24144C6xC24144,104

Semidirect products G=N:Q with N=C3×C6 and Q=C8
extensionφ:Q→Aut NdρLabelID
(C3×C6)⋊C8 = C2×F9φ: C8/C1C8 ⊆ Aut C3×C6188+(C3xC6):C8144,185
(C3×C6)⋊2C8 = C2×C322C8φ: C8/C2C4 ⊆ Aut C3×C648(C3xC6):2C8144,134
(C3×C6)⋊3C8 = C6×C3⋊C8φ: C8/C4C2 ⊆ Aut C3×C648(C3xC6):3C8144,74
(C3×C6)⋊4C8 = C2×C324C8φ: C8/C4C2 ⊆ Aut C3×C6144(C3xC6):4C8144,90

Non-split extensions G=N.Q with N=C3×C6 and Q=C8
extensionφ:Q→Aut NdρLabelID
(C3×C6).C8 = C2.F9φ: C8/C1C8 ⊆ Aut C3×C6488-(C3xC6).C8144,114
(C3×C6).2C8 = C322C16φ: C8/C2C4 ⊆ Aut C3×C6484(C3xC6).2C8144,51
(C3×C6).3C8 = C3×C3⋊C16φ: C8/C4C2 ⊆ Aut C3×C6482(C3xC6).3C8144,28
(C3×C6).4C8 = C24.S3φ: C8/C4C2 ⊆ Aut C3×C6144(C3xC6).4C8144,29

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