Extensions 1→N→G→Q→1 with N=C14 and Q=C42

Direct product G=NxQ with N=C14 and Q=C42
dρLabelID
C2xC4xC28224C2xC4xC28224,149

Semidirect products G=N:Q with N=C14 and Q=C42
extensionφ:Q→Aut NdρLabelID
C14:C42 = C2xC4xDic7φ: C42/C2xC4C2 ⊆ Aut C14224C14:C4^2224,117

Non-split extensions G=N.Q with N=C14 and Q=C42
extensionφ:Q→Aut NdρLabelID
C14.1C42 = C4xC7:C8φ: C42/C2xC4C2 ⊆ Aut C14224C14.1C4^2224,8
C14.2C42 = C42.D7φ: C42/C2xC4C2 ⊆ Aut C14224C14.2C4^2224,9
C14.3C42 = C8xDic7φ: C42/C2xC4C2 ⊆ Aut C14224C14.3C4^2224,19
C14.4C42 = C56:C4φ: C42/C2xC4C2 ⊆ Aut C14224C14.4C4^2224,21
C14.5C42 = C14.C42φ: C42/C2xC4C2 ⊆ Aut C14224C14.5C4^2224,37
C14.6C42 = C7xC2.C42central extension (φ=1)224C14.6C4^2224,44
C14.7C42 = C7xC8:C4central extension (φ=1)224C14.7C4^2224,46

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