# Extensions 1→N→G→Q→1 with N=C2×C22 and Q=C2×C4

Direct product G=N×Q with N=C2×C22 and Q=C2×C4
dρLabelID
C23×C44352C2^3xC44352,188

Semidirect products G=N:Q with N=C2×C22 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C2×C22)⋊1(C2×C4) = C22⋊C4×D11φ: C2×C4/C2C22 ⊆ Aut C2×C2288(C2xC22):1(C2xC4)352,75
(C2×C22)⋊2(C2×C4) = Dic114D4φ: C2×C4/C2C22 ⊆ Aut C2×C22176(C2xC22):2(C2xC4)352,76
(C2×C22)⋊3(C2×C4) = D4×Dic11φ: C2×C4/C2C22 ⊆ Aut C2×C22176(C2xC22):3(C2xC4)352,129
(C2×C22)⋊4(C2×C4) = D4×C44φ: C2×C4/C4C2 ⊆ Aut C2×C22176(C2xC22):4(C2xC4)352,153
(C2×C22)⋊5(C2×C4) = C4×C11⋊D4φ: C2×C4/C4C2 ⊆ Aut C2×C22176(C2xC22):5(C2xC4)352,123
(C2×C22)⋊6(C2×C4) = C22×C4×D11φ: C2×C4/C4C2 ⊆ Aut C2×C22176(C2xC22):6(C2xC4)352,174
(C2×C22)⋊7(C2×C4) = C22⋊C4×C22φ: C2×C4/C22C2 ⊆ Aut C2×C22176(C2xC22):7(C2xC4)352,150
(C2×C22)⋊8(C2×C4) = C2×C23.D11φ: C2×C4/C22C2 ⊆ Aut C2×C22176(C2xC22):8(C2xC4)352,147
(C2×C22)⋊9(C2×C4) = C23×Dic11φ: C2×C4/C22C2 ⊆ Aut C2×C22352(C2xC22):9(C2xC4)352,186

Non-split extensions G=N.Q with N=C2×C22 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C2×C22).1(C2×C4) = C22.2D44φ: C2×C4/C2C22 ⊆ Aut C2×C22884(C2xC22).1(C2xC4)352,12
(C2×C22).2(C2×C4) = C44.46D4φ: C2×C4/C2C22 ⊆ Aut C2×C22884+(C2xC22).2(C2xC4)352,29
(C2×C22).3(C2×C4) = C44.47D4φ: C2×C4/C2C22 ⊆ Aut C2×C221764-(C2xC22).3(C2xC4)352,30
(C2×C22).4(C2×C4) = C23.11D22φ: C2×C4/C2C22 ⊆ Aut C2×C22176(C2xC22).4(C2xC4)352,72
(C2×C22).5(C2×C4) = M4(2)×D11φ: C2×C4/C2C22 ⊆ Aut C2×C22884(C2xC22).5(C2xC4)352,101
(C2×C22).6(C2×C4) = D44.C4φ: C2×C4/C2C22 ⊆ Aut C2×C221764(C2xC22).6(C2xC4)352,102
(C2×C22).7(C2×C4) = Q8.Dic11φ: C2×C4/C2C22 ⊆ Aut C2×C221764(C2xC22).7(C2xC4)352,143
(C2×C22).8(C2×C4) = C11×C8○D4φ: C2×C4/C4C2 ⊆ Aut C2×C221762(C2xC22).8(C2xC4)352,166
(C2×C22).9(C2×C4) = C8×Dic11φ: C2×C4/C4C2 ⊆ Aut C2×C22352(C2xC22).9(C2xC4)352,19
(C2×C22).10(C2×C4) = Dic11⋊C8φ: C2×C4/C4C2 ⊆ Aut C2×C22352(C2xC22).10(C2xC4)352,20
(C2×C22).11(C2×C4) = C88⋊C4φ: C2×C4/C4C2 ⊆ Aut C2×C22352(C2xC22).11(C2xC4)352,21
(C2×C22).12(C2×C4) = D22⋊C8φ: C2×C4/C4C2 ⊆ Aut C2×C22176(C2xC22).12(C2xC4)352,26
(C2×C22).13(C2×C4) = C22.C42φ: C2×C4/C4C2 ⊆ Aut C2×C22352(C2xC22).13(C2xC4)352,37
(C2×C22).14(C2×C4) = C2×C8×D11φ: C2×C4/C4C2 ⊆ Aut C2×C22176(C2xC22).14(C2xC4)352,94
(C2×C22).15(C2×C4) = C2×C88⋊C2φ: C2×C4/C4C2 ⊆ Aut C2×C22176(C2xC22).15(C2xC4)352,95
(C2×C22).16(C2×C4) = D44.2C4φ: C2×C4/C4C2 ⊆ Aut C2×C221762(C2xC22).16(C2xC4)352,96
(C2×C22).17(C2×C4) = C2×Dic11⋊C4φ: C2×C4/C4C2 ⊆ Aut C2×C22352(C2xC22).17(C2xC4)352,118
(C2×C22).18(C2×C4) = C2×D22⋊C4φ: C2×C4/C4C2 ⊆ Aut C2×C22176(C2xC22).18(C2xC4)352,122
(C2×C22).19(C2×C4) = C11×C23⋊C4φ: C2×C4/C22C2 ⊆ Aut C2×C22884(C2xC22).19(C2xC4)352,48
(C2×C22).20(C2×C4) = C11×C4.D4φ: C2×C4/C22C2 ⊆ Aut C2×C22884(C2xC22).20(C2xC4)352,49
(C2×C22).21(C2×C4) = C11×C4.10D4φ: C2×C4/C22C2 ⊆ Aut C2×C221764(C2xC22).21(C2xC4)352,50
(C2×C22).22(C2×C4) = C11×C42⋊C2φ: C2×C4/C22C2 ⊆ Aut C2×C22176(C2xC22).22(C2xC4)352,152
(C2×C22).23(C2×C4) = M4(2)×C22φ: C2×C4/C22C2 ⊆ Aut C2×C22176(C2xC22).23(C2xC4)352,165
(C2×C22).24(C2×C4) = C4×C11⋊C8φ: C2×C4/C22C2 ⊆ Aut C2×C22352(C2xC22).24(C2xC4)352,8
(C2×C22).25(C2×C4) = C42.D11φ: C2×C4/C22C2 ⊆ Aut C2×C22352(C2xC22).25(C2xC4)352,9
(C2×C22).26(C2×C4) = C44⋊C8φ: C2×C4/C22C2 ⊆ Aut C2×C22352(C2xC22).26(C2xC4)352,10
(C2×C22).27(C2×C4) = C44.55D4φ: C2×C4/C22C2 ⊆ Aut C2×C22176(C2xC22).27(C2xC4)352,36
(C2×C22).28(C2×C4) = C44.D4φ: C2×C4/C22C2 ⊆ Aut C2×C22884(C2xC22).28(C2xC4)352,39
(C2×C22).29(C2×C4) = C23⋊Dic11φ: C2×C4/C22C2 ⊆ Aut C2×C22884(C2xC22).29(C2xC4)352,40
(C2×C22).30(C2×C4) = C44.10D4φ: C2×C4/C22C2 ⊆ Aut C2×C221764(C2xC22).30(C2xC4)352,42
(C2×C22).31(C2×C4) = C22×C11⋊C8φ: C2×C4/C22C2 ⊆ Aut C2×C22352(C2xC22).31(C2xC4)352,115
(C2×C22).32(C2×C4) = C2×C44.C4φ: C2×C4/C22C2 ⊆ Aut C2×C22176(C2xC22).32(C2xC4)352,116
(C2×C22).33(C2×C4) = C2×C4×Dic11φ: C2×C4/C22C2 ⊆ Aut C2×C22352(C2xC22).33(C2xC4)352,117
(C2×C22).34(C2×C4) = C2×C44⋊C4φ: C2×C4/C22C2 ⊆ Aut C2×C22352(C2xC22).34(C2xC4)352,120
(C2×C22).35(C2×C4) = C23.21D22φ: C2×C4/C22C2 ⊆ Aut C2×C22176(C2xC22).35(C2xC4)352,121
(C2×C22).36(C2×C4) = C11×C2.C42central extension (φ=1)352(C2xC22).36(C2xC4)352,44
(C2×C22).37(C2×C4) = C11×C8⋊C4central extension (φ=1)352(C2xC22).37(C2xC4)352,46
(C2×C22).38(C2×C4) = C11×C22⋊C8central extension (φ=1)176(C2xC22).38(C2xC4)352,47
(C2×C22).39(C2×C4) = C11×C4⋊C8central extension (φ=1)352(C2xC22).39(C2xC4)352,54
(C2×C22).40(C2×C4) = C4⋊C4×C22central extension (φ=1)352(C2xC22).40(C2xC4)352,151

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