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Extensions 1→N→G→Q→1 with N=C2×C14 and Q=C2×C4

Direct product G=N×Q with N=C2×C14 and Q=C2×C4
dρLabelID
C23×C28224C2^3xC28224,189

Semidirect products G=N:Q with N=C2×C14 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C2×C14)⋊1(C2×C4) = D7×C22⋊C4φ: C2×C4/C2 → C22 ⊆ Aut C2×C1456(C2xC14):1(C2xC4)224,75
(C2×C14)⋊2(C2×C4) = Dic7⋊4D4φ: C2×C4/C2 → C22 ⊆ Aut C2×C14112(C2xC14):2(C2xC4)224,76
(C2×C14)⋊3(C2×C4) = D4×Dic7φ: C2×C4/C2 → C22 ⊆ Aut C2×C14112(C2xC14):3(C2xC4)224,129
(C2×C14)⋊4(C2×C4) = D4×C28φ: C2×C4/C4 → C2 ⊆ Aut C2×C14112(C2xC14):4(C2xC4)224,153
(C2×C14)⋊5(C2×C4) = C4×C7⋊D4φ: C2×C4/C4 → C2 ⊆ Aut C2×C14112(C2xC14):5(C2xC4)224,123
(C2×C14)⋊6(C2×C4) = D7×C22×C4φ: C2×C4/C4 → C2 ⊆ Aut C2×C14112(C2xC14):6(C2xC4)224,175
(C2×C14)⋊7(C2×C4) = C14×C22⋊C4φ: C2×C4/C22 → C2 ⊆ Aut C2×C14112(C2xC14):7(C2xC4)224,150
(C2×C14)⋊8(C2×C4) = C2×C23.D7φ: C2×C4/C22 → C2 ⊆ Aut C2×C14112(C2xC14):8(C2xC4)224,147
(C2×C14)⋊9(C2×C4) = C23×Dic7φ: C2×C4/C22 → C2 ⊆ Aut C2×C14224(C2xC14):9(C2xC4)224,187

Non-split extensions G=N.Q with N=C2×C14 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C2×C14).1(C2×C4) = C23.1D14φ: C2×C4/C2 → C22 ⊆ Aut C2×C14564(C2xC14).1(C2xC4)224,12
(C2×C14).2(C2×C4) = C28.46D4φ: C2×C4/C2 → C22 ⊆ Aut C2×C14564+(C2xC14).2(C2xC4)224,29
(C2×C14).3(C2×C4) = C4.12D28φ: C2×C4/C2 → C22 ⊆ Aut C2×C141124-(C2xC14).3(C2xC4)224,30
(C2×C14).4(C2×C4) = C23.11D14φ: C2×C4/C2 → C22 ⊆ Aut C2×C14112(C2xC14).4(C2xC4)224,72
(C2×C14).5(C2×C4) = D7×M4(2)φ: C2×C4/C2 → C22 ⊆ Aut C2×C14564(C2xC14).5(C2xC4)224,101
(C2×C14).6(C2×C4) = D28.C4φ: C2×C4/C2 → C22 ⊆ Aut C2×C141124(C2xC14).6(C2xC4)224,102
(C2×C14).7(C2×C4) = Q8.Dic7φ: C2×C4/C2 → C22 ⊆ Aut C2×C141124(C2xC14).7(C2xC4)224,143
(C2×C14).8(C2×C4) = C7×C8○D4φ: C2×C4/C4 → C2 ⊆ Aut C2×C141122(C2xC14).8(C2xC4)224,166
(C2×C14).9(C2×C4) = C8×Dic7φ: C2×C4/C4 → C2 ⊆ Aut C2×C14224(C2xC14).9(C2xC4)224,19
(C2×C14).10(C2×C4) = Dic7⋊C8φ: C2×C4/C4 → C2 ⊆ Aut C2×C14224(C2xC14).10(C2xC4)224,20
(C2×C14).11(C2×C4) = C56⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C2×C14224(C2xC14).11(C2xC4)224,21
(C2×C14).12(C2×C4) = D14⋊C8φ: C2×C4/C4 → C2 ⊆ Aut C2×C14112(C2xC14).12(C2xC4)224,26
(C2×C14).13(C2×C4) = C14.C42φ: C2×C4/C4 → C2 ⊆ Aut C2×C14224(C2xC14).13(C2xC4)224,37
(C2×C14).14(C2×C4) = D7×C2×C8φ: C2×C4/C4 → C2 ⊆ Aut C2×C14112(C2xC14).14(C2xC4)224,94
(C2×C14).15(C2×C4) = C2×C8⋊D7φ: C2×C4/C4 → C2 ⊆ Aut C2×C14112(C2xC14).15(C2xC4)224,95
(C2×C14).16(C2×C4) = D28.2C4φ: C2×C4/C4 → C2 ⊆ Aut C2×C141122(C2xC14).16(C2xC4)224,96
(C2×C14).17(C2×C4) = C2×Dic7⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C2×C14224(C2xC14).17(C2xC4)224,118
(C2×C14).18(C2×C4) = C2×D14⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C2×C14112(C2xC14).18(C2xC4)224,122
(C2×C14).19(C2×C4) = C7×C23⋊C4φ: C2×C4/C22 → C2 ⊆ Aut C2×C14564(C2xC14).19(C2xC4)224,48
(C2×C14).20(C2×C4) = C7×C4.D4φ: C2×C4/C22 → C2 ⊆ Aut C2×C14564(C2xC14).20(C2xC4)224,49
(C2×C14).21(C2×C4) = C7×C4.10D4φ: C2×C4/C22 → C2 ⊆ Aut C2×C141124(C2xC14).21(C2xC4)224,50
(C2×C14).22(C2×C4) = C7×C42⋊C2φ: C2×C4/C22 → C2 ⊆ Aut C2×C14112(C2xC14).22(C2xC4)224,152
(C2×C14).23(C2×C4) = C14×M4(2)φ: C2×C4/C22 → C2 ⊆ Aut C2×C14112(C2xC14).23(C2xC4)224,165
(C2×C14).24(C2×C4) = C4×C7⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C2×C14224(C2xC14).24(C2xC4)224,8
(C2×C14).25(C2×C4) = C42.D7φ: C2×C4/C22 → C2 ⊆ Aut C2×C14224(C2xC14).25(C2xC4)224,9
(C2×C14).26(C2×C4) = C28⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C2×C14224(C2xC14).26(C2xC4)224,10
(C2×C14).27(C2×C4) = C28.55D4φ: C2×C4/C22 → C2 ⊆ Aut C2×C14112(C2xC14).27(C2xC4)224,36
(C2×C14).28(C2×C4) = C28.D4φ: C2×C4/C22 → C2 ⊆ Aut C2×C14564(C2xC14).28(C2xC4)224,39
(C2×C14).29(C2×C4) = C23⋊Dic7φ: C2×C4/C22 → C2 ⊆ Aut C2×C14564(C2xC14).29(C2xC4)224,40
(C2×C14).30(C2×C4) = C28.10D4φ: C2×C4/C22 → C2 ⊆ Aut C2×C141124(C2xC14).30(C2xC4)224,42
(C2×C14).31(C2×C4) = C22×C7⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C2×C14224(C2xC14).31(C2xC4)224,115
(C2×C14).32(C2×C4) = C2×C4.Dic7φ: C2×C4/C22 → C2 ⊆ Aut C2×C14112(C2xC14).32(C2xC4)224,116
(C2×C14).33(C2×C4) = C2×C4×Dic7φ: C2×C4/C22 → C2 ⊆ Aut C2×C14224(C2xC14).33(C2xC4)224,117
(C2×C14).34(C2×C4) = C2×C4⋊Dic7φ: C2×C4/C22 → C2 ⊆ Aut C2×C14224(C2xC14).34(C2xC4)224,120
(C2×C14).35(C2×C4) = C23.21D14φ: C2×C4/C22 → C2 ⊆ Aut C2×C14112(C2xC14).35(C2xC4)224,121
(C2×C14).36(C2×C4) = C7×C2.C42central extension (φ=1)224(C2xC14).36(C2xC4)224,44
(C2×C14).37(C2×C4) = C7×C8⋊C4central extension (φ=1)224(C2xC14).37(C2xC4)224,46
(C2×C14).38(C2×C4) = C7×C22⋊C8central extension (φ=1)112(C2xC14).38(C2xC4)224,47
(C2×C14).39(C2×C4) = C7×C4⋊C8central extension (φ=1)224(C2xC14).39(C2xC4)224,54
(C2×C14).40(C2×C4) = C14×C4⋊C4central extension (φ=1)224(C2xC14).40(C2xC4)224,151

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