Extensions 1→N→G→Q→1 with N=C8 and Q=C42

Direct product G=N×Q with N=C8 and Q=C42
dρLabelID
C2×C168336C2xC168336,109

Semidirect products G=N:Q with N=C8 and Q=C42
extensionφ:Q→Aut NdρLabelID
C81C42 = D8×C21φ: C42/C21C2 ⊆ Aut C81682C8:1C42336,111
C82C42 = SD16×C21φ: C42/C21C2 ⊆ Aut C81682C8:2C42336,112
C83C42 = M4(2)×C21φ: C42/C21C2 ⊆ Aut C81682C8:3C42336,110

Non-split extensions G=N.Q with N=C8 and Q=C42
extensionφ:Q→Aut NdρLabelID
C8.C42 = Q16×C21φ: C42/C21C2 ⊆ Aut C83362C8.C42336,113

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