Extensions 1→N→G→Q→1 with N=C2×C14 and Q=Q8

Direct product G=N×Q with N=C2×C14 and Q=Q8
dρLabelID
Q8×C2×C14224Q8xC2xC14224,191

Semidirect products G=N:Q with N=C2×C14 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C2×C14)⋊Q8 = C22⋊Dic14φ: Q8/C2C22 ⊆ Aut C2×C14112(C2xC14):Q8224,73
(C2×C14)⋊2Q8 = C7×C22⋊Q8φ: Q8/C4C2 ⊆ Aut C2×C14112(C2xC14):2Q8224,157
(C2×C14)⋊3Q8 = C28.48D4φ: Q8/C4C2 ⊆ Aut C2×C14112(C2xC14):3Q8224,119
(C2×C14)⋊4Q8 = C22×Dic14φ: Q8/C4C2 ⊆ Aut C2×C14224(C2xC14):4Q8224,174

Non-split extensions G=N.Q with N=C2×C14 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C2×C14).Q8 = C28.53D4φ: Q8/C2C22 ⊆ Aut C2×C141124(C2xC14).Q8224,28
(C2×C14).2Q8 = C7×C8.C4φ: Q8/C4C2 ⊆ Aut C2×C141122(C2xC14).2Q8224,57
(C2×C14).3Q8 = C56.C4φ: Q8/C4C2 ⊆ Aut C2×C141122(C2xC14).3Q8224,25
(C2×C14).4Q8 = C14.C42φ: Q8/C4C2 ⊆ Aut C2×C14224(C2xC14).4Q8224,37
(C2×C14).5Q8 = C2×Dic7⋊C4φ: Q8/C4C2 ⊆ Aut C2×C14224(C2xC14).5Q8224,118
(C2×C14).6Q8 = C2×C4⋊Dic7φ: Q8/C4C2 ⊆ Aut C2×C14224(C2xC14).6Q8224,120
(C2×C14).7Q8 = C7×C2.C42central extension (φ=1)224(C2xC14).7Q8224,44
(C2×C14).8Q8 = C14×C4⋊C4central extension (φ=1)224(C2xC14).8Q8224,151

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