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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=Q16

Direct product G=N×Q with N=C2×C6 and Q=Q16
dρLabelID
C2×C6×Q16192C2xC6xQ16192,1460

Semidirect products G=N:Q with N=C2×C6 and Q=Q16
extensionφ:Q→Aut NdρLabelID
(C2×C6)⋊1Q16 = Dic6.32D4φ: Q16/C4 → C22 ⊆ Aut C2×C696(C2xC6):1Q16192,298
(C2×C6)⋊2Q16 = Dic6.37D4φ: Q16/C4 → C22 ⊆ Aut C2×C696(C2xC6):2Q16192,609
(C2×C6)⋊3Q16 = C3⋊C8.29D4φ: Q16/C4 → C22 ⊆ Aut C2×C696(C2xC6):3Q16192,610
(C2×C6)⋊4Q16 = C3×C8.18D4φ: Q16/C8 → C2 ⊆ Aut C2×C696(C2xC6):4Q16192,900
(C2×C6)⋊5Q16 = C24.82D4φ: Q16/C8 → C2 ⊆ Aut C2×C696(C2xC6):5Q16192,675
(C2×C6)⋊6Q16 = C22×Dic12φ: Q16/C8 → C2 ⊆ Aut C2×C6192(C2xC6):6Q16192,1301
(C2×C6)⋊7Q16 = C3×C22⋊Q16φ: Q16/Q8 → C2 ⊆ Aut C2×C696(C2xC6):7Q16192,884
(C2×C6)⋊8Q16 = (C2×C6)⋊8Q16φ: Q16/Q8 → C2 ⊆ Aut C2×C696(C2xC6):8Q16192,787
(C2×C6)⋊9Q16 = C22×C3⋊Q16φ: Q16/Q8 → C2 ⊆ Aut C2×C6192(C2xC6):9Q16192,1368

Non-split extensions G=N.Q with N=C2×C6 and Q=Q16
extensionφ:Q→Aut NdρLabelID
(C2×C6).1Q16 = C23.35D12φ: Q16/C4 → C22 ⊆ Aut C2×C648(C2xC6).1Q16192,26
(C2×C6).2Q16 = C24.7Q8φ: Q16/C4 → C22 ⊆ Aut C2×C6964(C2xC6).2Q16192,52
(C2×C6).3Q16 = (C6×Q8)⋊C4φ: Q16/C4 → C22 ⊆ Aut C2×C648(C2xC6).3Q16192,97
(C2×C6).4Q16 = C23.40D12φ: Q16/C4 → C22 ⊆ Aut C2×C696(C2xC6).4Q16192,281
(C2×C6).5Q16 = (C2×C6).Q16φ: Q16/C4 → C22 ⊆ Aut C2×C696(C2xC6).5Q16192,603
(C2×C6).6Q16 = C3×C8.4Q8φ: Q16/C8 → C2 ⊆ Aut C2×C6962(C2xC6).6Q16192,174
(C2×C6).7Q16 = C48.C4φ: Q16/C8 → C2 ⊆ Aut C2×C6962(C2xC6).7Q16192,65
(C2×C6).8Q16 = C12.9C42φ: Q16/C8 → C2 ⊆ Aut C2×C6192(C2xC6).8Q16192,110
(C2×C6).9Q16 = C2×C2.Dic12φ: Q16/C8 → C2 ⊆ Aut C2×C6192(C2xC6).9Q16192,662
(C2×C6).10Q16 = C2×C24⋊1C4φ: Q16/C8 → C2 ⊆ Aut C2×C6192(C2xC6).10Q16192,664
(C2×C6).11Q16 = C3×C23.31D4φ: Q16/Q8 → C2 ⊆ Aut C2×C648(C2xC6).11Q16192,134
(C2×C6).12Q16 = C3×C23.48D4φ: Q16/Q8 → C2 ⊆ Aut C2×C696(C2xC6).12Q16192,917
(C2×C6).13Q16 = C4⋊Dic3⋊C4φ: Q16/Q8 → C2 ⊆ Aut C2×C648(C2xC6).13Q16192,11
(C2×C6).14Q16 = C12.C42φ: Q16/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).14Q16192,88
(C2×C6).15Q16 = C2×C6.Q16φ: Q16/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).15Q16192,521
(C2×C6).16Q16 = C2×C6.SD16φ: Q16/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).16Q16192,528
(C2×C6).17Q16 = C4⋊C4.230D6φ: Q16/Q8 → C2 ⊆ Aut C2×C696(C2xC6).17Q16192,529
(C2×C6).18Q16 = C2×Q8⋊2Dic3φ: Q16/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).18Q16192,783
(C2×C6).19Q16 = C3×C22.4Q16central extension (φ=1)192(C2xC6).19Q16192,146
(C2×C6).20Q16 = C6×Q8⋊C4central extension (φ=1)192(C2xC6).20Q16192,848
(C2×C6).21Q16 = C6×C2.D8central extension (φ=1)192(C2xC6).21Q16192,859

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