# Extensions 1→N→G→Q→1 with N=C22×C4 and Q=C18

Direct product G=N×Q with N=C22×C4 and Q=C18
dρLabelID
C23×C36288C2^3xC36288,367

Semidirect products G=N:Q with N=C22×C4 and Q=C18
extensionφ:Q→Aut NdρLabelID
(C22×C4)⋊C18 = D4×C3.A4φ: C18/C3C6 ⊆ Aut C22×C4366(C2^2xC4):C18288,344
(C22×C4)⋊2C18 = C2×C4×C3.A4φ: C18/C6C3 ⊆ Aut C22×C472(C2^2xC4):2C18288,343
(C22×C4)⋊3C18 = C22⋊C4×C18φ: C18/C9C2 ⊆ Aut C22×C4144(C2^2xC4):3C18288,165
(C22×C4)⋊4C18 = D4×C36φ: C18/C9C2 ⊆ Aut C22×C4144(C2^2xC4):4C18288,168
(C22×C4)⋊5C18 = C9×C22.D4φ: C18/C9C2 ⊆ Aut C22×C4144(C2^2xC4):5C18288,173
(C22×C4)⋊6C18 = C9×C4⋊D4φ: C18/C9C2 ⊆ Aut C22×C4144(C2^2xC4):6C18288,171
(C22×C4)⋊7C18 = D4×C2×C18φ: C18/C9C2 ⊆ Aut C22×C4144(C2^2xC4):7C18288,368
(C22×C4)⋊8C18 = C4○D4×C18φ: C18/C9C2 ⊆ Aut C22×C4144(C2^2xC4):8C18288,370

Non-split extensions G=N.Q with N=C22×C4 and Q=C18
extensionφ:Q→Aut NdρLabelID
(C22×C4).C18 = Q8×C3.A4φ: C18/C3C6 ⊆ Aut C22×C4726(C2^2xC4).C18288,346
(C22×C4).2C18 = C8×C3.A4φ: C18/C6C3 ⊆ Aut C22×C4723(C2^2xC4).2C18288,76
(C22×C4).3C18 = C9×C2.C42φ: C18/C9C2 ⊆ Aut C22×C4288(C2^2xC4).3C18288,45
(C22×C4).4C18 = C9×C22⋊C8φ: C18/C9C2 ⊆ Aut C22×C4144(C2^2xC4).4C18288,48
(C22×C4).5C18 = C4⋊C4×C18φ: C18/C9C2 ⊆ Aut C22×C4288(C2^2xC4).5C18288,166
(C22×C4).6C18 = C9×C42⋊C2φ: C18/C9C2 ⊆ Aut C22×C4144(C2^2xC4).6C18288,167
(C22×C4).7C18 = C9×C22⋊Q8φ: C18/C9C2 ⊆ Aut C22×C4144(C2^2xC4).7C18288,172
(C22×C4).8C18 = M4(2)×C18φ: C18/C9C2 ⊆ Aut C22×C4144(C2^2xC4).8C18288,180
(C22×C4).9C18 = Q8×C2×C18φ: C18/C9C2 ⊆ Aut C22×C4288(C2^2xC4).9C18288,369

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