Extensions 1→N→G→Q→1 with N=C16 and Q=C22

Direct product G=N×Q with N=C16 and Q=C22
dρLabelID
C2×C176352C2xC176352,58

Semidirect products G=N:Q with N=C16 and Q=C22
extensionφ:Q→Aut NdρLabelID
C161C22 = C11×D16φ: C22/C11C2 ⊆ Aut C161762C16:1C22352,60
C162C22 = C11×SD32φ: C22/C11C2 ⊆ Aut C161762C16:2C22352,61
C163C22 = C11×M5(2)φ: C22/C11C2 ⊆ Aut C161762C16:3C22352,59

Non-split extensions G=N.Q with N=C16 and Q=C22
extensionφ:Q→Aut NdρLabelID
C16.C22 = C11×Q32φ: C22/C11C2 ⊆ Aut C163522C16.C22352,62

׿
×
𝔽