Extensions 1→N→G→Q→1 with N=C22 and Q=Q16

Direct product G=N×Q with N=C22 and Q=Q16
dρLabelID
C22×Q1664C2^2xQ1664,252

Semidirect products G=N:Q with N=C22 and Q=Q16
extensionφ:Q→Aut NdρLabelID
C221Q16 = C8.18D4φ: Q16/C8C2 ⊆ Aut C2232C2^2:1Q1664,148
C222Q16 = C22⋊Q16φ: Q16/Q8C2 ⊆ Aut C2232C2^2:2Q1664,132

Non-split extensions G=N.Q with N=C22 and Q=Q16
extensionφ:Q→Aut NdρLabelID
C22.1Q16 = C8.4Q8φ: Q16/C8C2 ⊆ Aut C22322C2^2.1Q1664,49
C22.2Q16 = C23.31D4φ: Q16/Q8C2 ⊆ Aut C2216C2^2.2Q1664,9
C22.3Q16 = C23.48D4φ: Q16/Q8C2 ⊆ Aut C2232C2^2.3Q1664,165
C22.4Q16 = C22.4Q16central extension (φ=1)64C2^2.4Q1664,21
C22.5Q16 = C2×Q8⋊C4central extension (φ=1)64C2^2.5Q1664,96
C22.6Q16 = C2×C2.D8central extension (φ=1)64C2^2.6Q1664,107

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