# Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C2×C18

Direct product G=N×Q with N=C2×C4 and Q=C2×C18
dρLabelID
C23×C36288C2^3xC36288,367

Semidirect products G=N:Q with N=C2×C4 and Q=C2×C18
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1(C2×C18) = C9×C22≀C2φ: C2×C18/C9C22 ⊆ Aut C2×C472(C2xC4):1(C2xC18)288,170
(C2×C4)⋊2(C2×C18) = C9×2+ 1+4φ: C2×C18/C9C22 ⊆ Aut C2×C4724(C2xC4):2(C2xC18)288,371
(C2×C4)⋊3(C2×C18) = C22⋊C4×C18φ: C2×C18/C18C2 ⊆ Aut C2×C4144(C2xC4):3(C2xC18)288,165
(C2×C4)⋊4(C2×C18) = D4×C2×C18φ: C2×C18/C18C2 ⊆ Aut C2×C4144(C2xC4):4(C2xC18)288,368
(C2×C4)⋊5(C2×C18) = C4○D4×C18φ: C2×C18/C18C2 ⊆ Aut C2×C4144(C2xC4):5(C2xC18)288,370

Non-split extensions G=N.Q with N=C2×C4 and Q=C2×C18
extensionφ:Q→Aut NdρLabelID
(C2×C4).1(C2×C18) = C9×C4.D4φ: C2×C18/C9C22 ⊆ Aut C2×C4724(C2xC4).1(C2xC18)288,50
(C2×C4).2(C2×C18) = C9×C4.10D4φ: C2×C18/C9C22 ⊆ Aut C2×C41444(C2xC4).2(C2xC18)288,51
(C2×C4).3(C2×C18) = C9×C22⋊Q8φ: C2×C18/C9C22 ⊆ Aut C2×C4144(C2xC4).3(C2xC18)288,172
(C2×C4).4(C2×C18) = C9×C8⋊C22φ: C2×C18/C9C22 ⊆ Aut C2×C4724(C2xC4).4(C2xC18)288,186
(C2×C4).5(C2×C18) = C9×C8.C22φ: C2×C18/C9C22 ⊆ Aut C2×C41444(C2xC4).5(C2xC18)288,187
(C2×C4).6(C2×C18) = C9×2- 1+4φ: C2×C18/C9C22 ⊆ Aut C2×C41444(C2xC4).6(C2xC18)288,372
(C2×C4).7(C2×C18) = C4⋊C4×C18φ: C2×C18/C18C2 ⊆ Aut C2×C4288(C2xC4).7(C2xC18)288,166
(C2×C4).8(C2×C18) = C9×C42⋊C2φ: C2×C18/C18C2 ⊆ Aut C2×C4144(C2xC4).8(C2xC18)288,167
(C2×C4).9(C2×C18) = C9×C4⋊D4φ: C2×C18/C18C2 ⊆ Aut C2×C4144(C2xC4).9(C2xC18)288,171
(C2×C4).10(C2×C18) = C9×C22.D4φ: C2×C18/C18C2 ⊆ Aut C2×C4144(C2xC4).10(C2xC18)288,173
(C2×C4).11(C2×C18) = C9×C422C2φ: C2×C18/C18C2 ⊆ Aut C2×C4144(C2xC4).11(C2xC18)288,176
(C2×C4).12(C2×C18) = C9×D4⋊C4φ: C2×C18/C18C2 ⊆ Aut C2×C4144(C2xC4).12(C2xC18)288,52
(C2×C4).13(C2×C18) = C9×Q8⋊C4φ: C2×C18/C18C2 ⊆ Aut C2×C4288(C2xC4).13(C2xC18)288,53
(C2×C4).14(C2×C18) = C9×C4≀C2φ: C2×C18/C18C2 ⊆ Aut C2×C4722(C2xC4).14(C2xC18)288,54
(C2×C4).15(C2×C18) = C9×C4.Q8φ: C2×C18/C18C2 ⊆ Aut C2×C4288(C2xC4).15(C2xC18)288,56
(C2×C4).16(C2×C18) = C9×C2.D8φ: C2×C18/C18C2 ⊆ Aut C2×C4288(C2xC4).16(C2xC18)288,57
(C2×C4).17(C2×C18) = C9×C8.C4φ: C2×C18/C18C2 ⊆ Aut C2×C41442(C2xC4).17(C2xC18)288,58
(C2×C4).18(C2×C18) = D4×C36φ: C2×C18/C18C2 ⊆ Aut C2×C4144(C2xC4).18(C2xC18)288,168
(C2×C4).19(C2×C18) = Q8×C36φ: C2×C18/C18C2 ⊆ Aut C2×C4288(C2xC4).19(C2xC18)288,169
(C2×C4).20(C2×C18) = C9×C4.4D4φ: C2×C18/C18C2 ⊆ Aut C2×C4144(C2xC4).20(C2xC18)288,174
(C2×C4).21(C2×C18) = C9×C42.C2φ: C2×C18/C18C2 ⊆ Aut C2×C4288(C2xC4).21(C2xC18)288,175
(C2×C4).22(C2×C18) = C9×C41D4φ: C2×C18/C18C2 ⊆ Aut C2×C4144(C2xC4).22(C2xC18)288,177
(C2×C4).23(C2×C18) = C9×C4⋊Q8φ: C2×C18/C18C2 ⊆ Aut C2×C4288(C2xC4).23(C2xC18)288,178
(C2×C4).24(C2×C18) = M4(2)×C18φ: C2×C18/C18C2 ⊆ Aut C2×C4144(C2xC4).24(C2xC18)288,180
(C2×C4).25(C2×C18) = C9×C8○D4φ: C2×C18/C18C2 ⊆ Aut C2×C41442(C2xC4).25(C2xC18)288,181
(C2×C4).26(C2×C18) = D8×C18φ: C2×C18/C18C2 ⊆ Aut C2×C4144(C2xC4).26(C2xC18)288,182
(C2×C4).27(C2×C18) = SD16×C18φ: C2×C18/C18C2 ⊆ Aut C2×C4144(C2xC4).27(C2xC18)288,183
(C2×C4).28(C2×C18) = Q16×C18φ: C2×C18/C18C2 ⊆ Aut C2×C4288(C2xC4).28(C2xC18)288,184
(C2×C4).29(C2×C18) = C9×C4○D8φ: C2×C18/C18C2 ⊆ Aut C2×C41442(C2xC4).29(C2xC18)288,185
(C2×C4).30(C2×C18) = Q8×C2×C18φ: C2×C18/C18C2 ⊆ Aut C2×C4288(C2xC4).30(C2xC18)288,369
(C2×C4).31(C2×C18) = C9×C8⋊C4central extension (φ=1)288(C2xC4).31(C2xC18)288,47
(C2×C4).32(C2×C18) = C9×C22⋊C8central extension (φ=1)144(C2xC4).32(C2xC18)288,48
(C2×C4).33(C2×C18) = C9×C4⋊C8central extension (φ=1)288(C2xC4).33(C2xC18)288,55

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