Extensions 1→N→G→Q→1 with N=C7×C14 and Q=C22

Direct product G=N×Q with N=C7×C14 and Q=C22
dρLabelID
C2×C142392C2xC14^2392,44

Semidirect products G=N:Q with N=C7×C14 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C7×C14)⋊C22 = C2×D72φ: C22/C1C22 ⊆ Aut C7×C14284+(C7xC14):C2^2392,41
(C7×C14)⋊2C22 = D7×C2×C14φ: C22/C2C2 ⊆ Aut C7×C1456(C7xC14):2C2^2392,42
(C7×C14)⋊3C22 = C22×C7⋊D7φ: C22/C2C2 ⊆ Aut C7×C14196(C7xC14):3C2^2392,43

Non-split extensions G=N.Q with N=C7×C14 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C7×C14).1C22 = D7×Dic7φ: C22/C1C22 ⊆ Aut C7×C14564-(C7xC14).1C2^2392,18
(C7×C14).2C22 = Dic72D7φ: C22/C1C22 ⊆ Aut C7×C14284+(C7xC14).2C2^2392,19
(C7×C14).3C22 = C722D4φ: C22/C1C22 ⊆ Aut C7×C14564-(C7xC14).3C2^2392,20
(C7×C14).4C22 = C7⋊D28φ: C22/C1C22 ⊆ Aut C7×C14284+(C7xC14).4C2^2392,21
(C7×C14).5C22 = C722Q8φ: C22/C1C22 ⊆ Aut C7×C14564-(C7xC14).5C2^2392,22
(C7×C14).6C22 = C7×Dic14φ: C22/C2C2 ⊆ Aut C7×C14562(C7xC14).6C2^2392,23
(C7×C14).7C22 = D7×C28φ: C22/C2C2 ⊆ Aut C7×C14562(C7xC14).7C2^2392,24
(C7×C14).8C22 = C7×D28φ: C22/C2C2 ⊆ Aut C7×C14562(C7xC14).8C2^2392,25
(C7×C14).9C22 = C14×Dic7φ: C22/C2C2 ⊆ Aut C7×C1456(C7xC14).9C2^2392,26
(C7×C14).10C22 = C7×C7⋊D4φ: C22/C2C2 ⊆ Aut C7×C14282(C7xC14).10C2^2392,27
(C7×C14).11C22 = C724Q8φ: C22/C2C2 ⊆ Aut C7×C14392(C7xC14).11C2^2392,28
(C7×C14).12C22 = C4×C7⋊D7φ: C22/C2C2 ⊆ Aut C7×C14196(C7xC14).12C2^2392,29
(C7×C14).13C22 = C28⋊D7φ: C22/C2C2 ⊆ Aut C7×C14196(C7xC14).13C2^2392,30
(C7×C14).14C22 = C2×C7⋊Dic7φ: C22/C2C2 ⊆ Aut C7×C14392(C7xC14).14C2^2392,31
(C7×C14).15C22 = C727D4φ: C22/C2C2 ⊆ Aut C7×C14196(C7xC14).15C2^2392,32
(C7×C14).16C22 = D4×C72central extension (φ=1)196(C7xC14).16C2^2392,34
(C7×C14).17C22 = Q8×C72central extension (φ=1)392(C7xC14).17C2^2392,35

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