Extensions 1→N→G→Q→1 with N=C18 and Q=Q16

Direct product G=N×Q with N=C18 and Q=Q16
dρLabelID
Q16×C18288Q16xC18288,184

Semidirect products G=N:Q with N=C18 and Q=Q16
extensionφ:Q→Aut NdρLabelID
C181Q16 = C2×Dic36φ: Q16/C8C2 ⊆ Aut C18288C18:1Q16288,109
C182Q16 = C2×C9⋊Q16φ: Q16/Q8C2 ⊆ Aut C18288C18:2Q16288,151

Non-split extensions G=N.Q with N=C18 and Q=Q16
extensionφ:Q→Aut NdρLabelID
C18.1Q16 = C36.45D4φ: Q16/C8C2 ⊆ Aut C18288C18.1Q16288,24
C18.2Q16 = C721C4φ: Q16/C8C2 ⊆ Aut C18288C18.2Q16288,26
C18.3Q16 = C36.Q8φ: Q16/Q8C2 ⊆ Aut C18288C18.3Q16288,14
C18.4Q16 = C18.Q16φ: Q16/Q8C2 ⊆ Aut C18288C18.4Q16288,16
C18.5Q16 = Q82Dic9φ: Q16/Q8C2 ⊆ Aut C18288C18.5Q16288,43
C18.6Q16 = C9×Q8⋊C4central extension (φ=1)288C18.6Q16288,53
C18.7Q16 = C9×C2.D8central extension (φ=1)288C18.7Q16288,57

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