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Extensions 1→N→G→Q→1 with N=C6×C18 and Q=C3

Direct product G=N×Q with N=C6×C18 and Q=C3
dρLabelID
C3×C6×C18324C3xC6xC18324,151

Semidirect products G=N:Q with N=C6×C18 and Q=C3
extensionφ:Q→Aut NdρLabelID
(C6×C18)⋊1C3 = C62.13C32φ: C3/C1 → C3 ⊆ Aut C6×C18543(C6xC18):1C3324,49
(C6×C18)⋊2C3 = C62.14C32φ: C3/C1 → C3 ⊆ Aut C6×C18543(C6xC18):2C3324,50
(C6×C18)⋊3C3 = C62.16C32φ: C3/C1 → C3 ⊆ Aut C6×C18108(C6xC18):3C3324,52
(C6×C18)⋊4C3 = C22×C32⋊C9φ: C3/C1 → C3 ⊆ Aut C6×C18108(C6xC18):4C3324,82
(C6×C18)⋊5C3 = C22×He3.C3φ: C3/C1 → C3 ⊆ Aut C6×C18108(C6xC18):5C3324,87
(C6×C18)⋊6C3 = C22×He3⋊C3φ: C3/C1 → C3 ⊆ Aut C6×C18108(C6xC18):6C3324,88
(C6×C18)⋊7C3 = A4×C3×C9φ: C3/C1 → C3 ⊆ Aut C6×C18108(C6xC18):7C3324,126
(C6×C18)⋊8C3 = C3×C9⋊A4φ: C3/C1 → C3 ⊆ Aut C6×C18108(C6xC18):8C3324,127
(C6×C18)⋊9C3 = C62.25C32φ: C3/C1 → C3 ⊆ Aut C6×C18543(C6xC18):9C3324,128
(C6×C18)⋊10C3 = C2×C6×3- 1+2φ: C3/C1 → C3 ⊆ Aut C6×C18108(C6xC18):10C3324,153
(C6×C18)⋊11C3 = C22×C9○He3φ: C3/C1 → C3 ⊆ Aut C6×C18108(C6xC18):11C3324,154

Non-split extensions G=N.Q with N=C6×C18 and Q=C3
extensionφ:Q→Aut NdρLabelID
(C6×C18).1C3 = C3×C9.A4φ: C3/C1 → C3 ⊆ Aut C6×C18162(C6xC18).1C3324,44
(C6×C18).2C3 = C62.C9φ: C3/C1 → C3 ⊆ Aut C6×C18543(C6xC18).2C3324,45
(C6×C18).3C3 = C9×C3.A4φ: C3/C1 → C3 ⊆ Aut C6×C18162(C6xC18).3C3324,46
(C6×C18).4C3 = C62.11C32φ: C3/C1 → C3 ⊆ Aut C6×C18162(C6xC18).4C3324,47
(C6×C18).5C3 = C62.12C32φ: C3/C1 → C3 ⊆ Aut C6×C18162(C6xC18).5C3324,48
(C6×C18).6C3 = C62.15C32φ: C3/C1 → C3 ⊆ Aut C6×C18543(C6xC18).6C3324,51
(C6×C18).7C3 = C22×C9⋊C9φ: C3/C1 → C3 ⊆ Aut C6×C18324(C6xC18).7C3324,83
(C6×C18).8C3 = C22×C3.He3φ: C3/C1 → C3 ⊆ Aut C6×C18108(C6xC18).8C3324,89
(C6×C18).9C3 = C22×C27⋊C3φ: C3/C1 → C3 ⊆ Aut C6×C18108(C6xC18).9C3324,85

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