# Extensions 1→N→G→Q→1 with N=C2×C14 and Q=C42

Direct product G=N×Q with N=C2×C14 and Q=C42
dρLabelID
C22×C4×C28448C2^2xC4xC28448,1294

Semidirect products G=N:Q with N=C2×C14 and Q=C42
extensionφ:Q→Aut NdρLabelID
(C2×C14)⋊C42 = C22⋊C4×Dic7φ: C42/C22C22 ⊆ Aut C2×C14224(C2xC14):C4^2448,475
(C2×C14)⋊2C42 = C22⋊C4×C28φ: C42/C2×C4C2 ⊆ Aut C2×C14224(C2xC14):2C4^2448,785
(C2×C14)⋊3C42 = C4×C23.D7φ: C42/C2×C4C2 ⊆ Aut C2×C14224(C2xC14):3C4^2448,743
(C2×C14)⋊4C42 = C22×C4×Dic7φ: C42/C2×C4C2 ⊆ Aut C2×C14448(C2xC14):4C4^2448,1235

Non-split extensions G=N.Q with N=C2×C14 and Q=C42
extensionφ:Q→Aut NdρLabelID
(C2×C14).1C42 = C24.2D14φ: C42/C22C22 ⊆ Aut C2×C14112(C2xC14).1C4^2448,84
(C2×C14).2C42 = (C2×C28).Q8φ: C42/C22C22 ⊆ Aut C2×C141124(C2xC14).2C4^2448,90
(C2×C14).3C42 = M4(2)⋊Dic7φ: C42/C22C22 ⊆ Aut C2×C14224(C2xC14).3C4^2448,111
(C2×C14).4C42 = M4(2)⋊4Dic7φ: C42/C22C22 ⊆ Aut C2×C141124(C2xC14).4C4^2448,116
(C2×C14).5C42 = C28.5C42φ: C42/C22C22 ⊆ Aut C2×C14224(C2xC14).5C4^2448,531
(C2×C14).6C42 = M4(2)×Dic7φ: C42/C22C22 ⊆ Aut C2×C14224(C2xC14).6C4^2448,651
(C2×C14).7C42 = C28.7C42φ: C42/C22C22 ⊆ Aut C2×C14224(C2xC14).7C4^2448,656
(C2×C14).8C42 = C7×C23.9D4φ: C42/C2×C4C2 ⊆ Aut C2×C14112(C2xC14).8C4^2448,146
(C2×C14).9C42 = C7×C22.C42φ: C42/C2×C4C2 ⊆ Aut C2×C14224(C2xC14).9C4^2448,147
(C2×C14).10C42 = C7×M4(2)⋊4C4φ: C42/C2×C4C2 ⊆ Aut C2×C141124(C2xC14).10C4^2448,148
(C2×C14).11C42 = M4(2)×C28φ: C42/C2×C4C2 ⊆ Aut C2×C14224(C2xC14).11C4^2448,812
(C2×C14).12C42 = C7×C82M4(2)φ: C42/C2×C4C2 ⊆ Aut C2×C14224(C2xC14).12C4^2448,813
(C2×C14).13C42 = C8×C7⋊C8φ: C42/C2×C4C2 ⊆ Aut C2×C14448(C2xC14).13C4^2448,10
(C2×C14).14C42 = C42.279D14φ: C42/C2×C4C2 ⊆ Aut C2×C14448(C2xC14).14C4^2448,11
(C2×C14).15C42 = C56⋊C8φ: C42/C2×C4C2 ⊆ Aut C2×C14448(C2xC14).15C4^2448,12
(C2×C14).16C42 = (C2×C28)⋊3C8φ: C42/C2×C4C2 ⊆ Aut C2×C14448(C2xC14).16C4^2448,81
(C2×C14).17C42 = C24.D14φ: C42/C2×C4C2 ⊆ Aut C2×C14112(C2xC14).17C4^2448,83
(C2×C14).18C42 = C28.(C4⋊C4)φ: C42/C2×C4C2 ⊆ Aut C2×C14224(C2xC14).18C4^2448,87
(C2×C14).19C42 = (C2×C56)⋊5C4φ: C42/C2×C4C2 ⊆ Aut C2×C14448(C2xC14).19C4^2448,107
(C2×C14).20C42 = (C2×C56)⋊C4φ: C42/C2×C4C2 ⊆ Aut C2×C141124(C2xC14).20C4^2448,113
(C2×C14).21C42 = C2×C4×C7⋊C8φ: C42/C2×C4C2 ⊆ Aut C2×C14448(C2xC14).21C4^2448,454
(C2×C14).22C42 = C2×C42.D7φ: C42/C2×C4C2 ⊆ Aut C2×C14448(C2xC14).22C4^2448,455
(C2×C14).23C42 = C4×C4.Dic7φ: C42/C2×C4C2 ⊆ Aut C2×C14224(C2xC14).23C4^2448,456
(C2×C14).24C42 = C2×C8×Dic7φ: C42/C2×C4C2 ⊆ Aut C2×C14448(C2xC14).24C4^2448,632
(C2×C14).25C42 = C2×C56⋊C4φ: C42/C2×C4C2 ⊆ Aut C2×C14448(C2xC14).25C4^2448,634
(C2×C14).26C42 = C28.12C42φ: C42/C2×C4C2 ⊆ Aut C2×C14224(C2xC14).26C4^2448,635
(C2×C14).27C42 = C2×C14.C42φ: C42/C2×C4C2 ⊆ Aut C2×C14448(C2xC14).27C4^2448,742
(C2×C14).28C42 = C7×C8⋊C8central extension (φ=1)448(C2xC14).28C4^2448,126
(C2×C14).29C42 = C7×C22.7C42central extension (φ=1)448(C2xC14).29C4^2448,140
(C2×C14).30C42 = C14×C2.C42central extension (φ=1)448(C2xC14).30C4^2448,783
(C2×C14).31C42 = C14×C8⋊C4central extension (φ=1)448(C2xC14).31C4^2448,811

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