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

Direct product G=N×Q with N=C2×C4 and Q=C14
dρLabelID
C22×C28112C2^2xC28112,37

Semidirect products G=N:Q with N=C2×C4 and Q=C14
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1C14 = C7×C22⋊C4φ: C14/C7C2 ⊆ Aut C2×C456(C2xC4):1C14112,20
(C2×C4)⋊2C14 = D4×C14φ: C14/C7C2 ⊆ Aut C2×C456(C2xC4):2C14112,38
(C2×C4)⋊3C14 = C7×C4○D4φ: C14/C7C2 ⊆ Aut C2×C4562(C2xC4):3C14112,40

Non-split extensions G=N.Q with N=C2×C4 and Q=C14
extensionφ:Q→Aut NdρLabelID
(C2×C4).1C14 = C7×C4⋊C4φ: C14/C7C2 ⊆ Aut C2×C4112(C2xC4).1C14112,21
(C2×C4).2C14 = C7×M4(2)φ: C14/C7C2 ⊆ Aut C2×C4562(C2xC4).2C14112,23
(C2×C4).3C14 = Q8×C14φ: C14/C7C2 ⊆ Aut C2×C4112(C2xC4).3C14112,39

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