# Extensions 1→N→G→Q→1 with N=C3×C6 and Q=C42

Direct product G=N×Q with N=C3×C6 and Q=C42
dρLabelID
C2×C122288C2xC12^2288,811

Semidirect products G=N:Q with N=C3×C6 and Q=C42
extensionφ:Q→Aut NdρLabelID
(C3×C6)⋊1C42 = C2×C4×C32⋊C4φ: C42/C4C4 ⊆ Aut C3×C648(C3xC6):1C4^2288,932
(C3×C6)⋊2C42 = C2×Dic32φ: C42/C22C22 ⊆ Aut C3×C696(C3xC6):2C4^2288,602
(C3×C6)⋊3C42 = Dic3×C2×C12φ: C42/C2×C4C2 ⊆ Aut C3×C696(C3xC6):3C4^2288,693
(C3×C6)⋊4C42 = C2×C4×C3⋊Dic3φ: C42/C2×C4C2 ⊆ Aut C3×C6288(C3xC6):4C4^2288,779

Non-split extensions G=N.Q with N=C3×C6 and Q=C42
extensionφ:Q→Aut NdρLabelID
(C3×C6).1C42 = C8×C32⋊C4φ: C42/C4C4 ⊆ Aut C3×C6484(C3xC6).1C4^2288,414
(C3×C6).2C42 = (C3×C24)⋊C4φ: C42/C4C4 ⊆ Aut C3×C6484(C3xC6).2C4^2288,415
(C3×C6).3C42 = C4×C322C8φ: C42/C4C4 ⊆ Aut C3×C696(C3xC6).3C4^2288,423
(C3×C6).4C42 = C322C8⋊C4φ: C42/C4C4 ⊆ Aut C3×C696(C3xC6).4C4^2288,425
(C3×C6).5C42 = (C6×C12)⋊2C4φ: C42/C4C4 ⊆ Aut C3×C648(C3xC6).5C4^2288,429
(C3×C6).6C42 = Dic3×C3⋊C8φ: C42/C22C22 ⊆ Aut C3×C696(C3xC6).6C4^2288,200
(C3×C6).7C42 = C6.(S3×C8)φ: C42/C22C22 ⊆ Aut C3×C696(C3xC6).7C4^2288,201
(C3×C6).8C42 = C3⋊C8⋊Dic3φ: C42/C22C22 ⊆ Aut C3×C696(C3xC6).8C4^2288,202
(C3×C6).9C42 = C2.Dic32φ: C42/C22C22 ⊆ Aut C3×C696(C3xC6).9C4^2288,203
(C3×C6).10C42 = C62.6Q8φ: C42/C22C22 ⊆ Aut C3×C696(C3xC6).10C4^2288,227
(C3×C6).11C42 = C12×C3⋊C8φ: C42/C2×C4C2 ⊆ Aut C3×C696(C3xC6).11C4^2288,236
(C3×C6).12C42 = C3×C42.S3φ: C42/C2×C4C2 ⊆ Aut C3×C696(C3xC6).12C4^2288,237
(C3×C6).13C42 = Dic3×C24φ: C42/C2×C4C2 ⊆ Aut C3×C696(C3xC6).13C4^2288,247
(C3×C6).14C42 = C3×C24⋊C4φ: C42/C2×C4C2 ⊆ Aut C3×C696(C3xC6).14C4^2288,249
(C3×C6).15C42 = C3×C6.C42φ: C42/C2×C4C2 ⊆ Aut C3×C696(C3xC6).15C4^2288,265
(C3×C6).16C42 = C4×C324C8φ: C42/C2×C4C2 ⊆ Aut C3×C6288(C3xC6).16C4^2288,277
(C3×C6).17C42 = C122.C2φ: C42/C2×C4C2 ⊆ Aut C3×C6288(C3xC6).17C4^2288,278
(C3×C6).18C42 = C8×C3⋊Dic3φ: C42/C2×C4C2 ⊆ Aut C3×C6288(C3xC6).18C4^2288,288
(C3×C6).19C42 = C24⋊Dic3φ: C42/C2×C4C2 ⊆ Aut C3×C6288(C3xC6).19C4^2288,290
(C3×C6).20C42 = C62.15Q8φ: C42/C2×C4C2 ⊆ Aut C3×C6288(C3xC6).20C4^2288,306
(C3×C6).21C42 = C32×C2.C42central extension (φ=1)288(C3xC6).21C4^2288,313
(C3×C6).22C42 = C32×C8⋊C4central extension (φ=1)288(C3xC6).22C4^2288,315

׿
×
𝔽