# Extensions 1→N→G→Q→1 with N=C2×C6 and Q=C42

Direct product G=N×Q with N=C2×C6 and Q=C42
dρLabelID
C22×C4×C12192C2^2xC4xC12192,1400

Semidirect products G=N:Q with N=C2×C6 and Q=C42
extensionφ:Q→Aut NdρLabelID
(C2×C6)⋊C42 = Dic3×C22⋊C4φ: C42/C22C22 ⊆ Aut C2×C696(C2xC6):C4^2192,500
(C2×C6)⋊2C42 = C12×C22⋊C4φ: C42/C2×C4C2 ⊆ Aut C2×C696(C2xC6):2C4^2192,810
(C2×C6)⋊3C42 = C4×C6.D4φ: C42/C2×C4C2 ⊆ Aut C2×C696(C2xC6):3C4^2192,768
(C2×C6)⋊4C42 = Dic3×C22×C4φ: C42/C2×C4C2 ⊆ Aut C2×C6192(C2xC6):4C4^2192,1341

Non-split extensions G=N.Q with N=C2×C6 and Q=C42
extensionφ:Q→Aut NdρLabelID
(C2×C6).1C42 = C24.13D6φ: C42/C22C22 ⊆ Aut C2×C648(C2xC6).1C4^2192,86
(C2×C6).2C42 = (C2×C12).Q8φ: C42/C22C22 ⊆ Aut C2×C6484(C2xC6).2C4^2192,92
(C2×C6).3C42 = M4(2)⋊Dic3φ: C42/C22C22 ⊆ Aut C2×C696(C2xC6).3C4^2192,113
(C2×C6).4C42 = M4(2)⋊4Dic3φ: C42/C22C22 ⊆ Aut C2×C6484(C2xC6).4C4^2192,118
(C2×C6).5C42 = C12.5C42φ: C42/C22C22 ⊆ Aut C2×C696(C2xC6).5C4^2192,556
(C2×C6).6C42 = Dic3×M4(2)φ: C42/C22C22 ⊆ Aut C2×C696(C2xC6).6C4^2192,676
(C2×C6).7C42 = C12.7C42φ: C42/C22C22 ⊆ Aut C2×C696(C2xC6).7C4^2192,681
(C2×C6).8C42 = C3×C23.9D4φ: C42/C2×C4C2 ⊆ Aut C2×C648(C2xC6).8C4^2192,148
(C2×C6).9C42 = C3×C22.C42φ: C42/C2×C4C2 ⊆ Aut C2×C696(C2xC6).9C4^2192,149
(C2×C6).10C42 = C3×M4(2)⋊4C4φ: C42/C2×C4C2 ⊆ Aut C2×C6484(C2xC6).10C4^2192,150
(C2×C6).11C42 = C12×M4(2)φ: C42/C2×C4C2 ⊆ Aut C2×C696(C2xC6).11C4^2192,837
(C2×C6).12C42 = C3×C82M4(2)φ: C42/C2×C4C2 ⊆ Aut C2×C696(C2xC6).12C4^2192,838
(C2×C6).13C42 = C8×C3⋊C8φ: C42/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).13C4^2192,12
(C2×C6).14C42 = C42.279D6φ: C42/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).14C4^2192,13
(C2×C6).15C42 = C24⋊C8φ: C42/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).15C4^2192,14
(C2×C6).16C42 = (C2×C12)⋊3C8φ: C42/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).16C4^2192,83
(C2×C6).17C42 = C24.12D6φ: C42/C2×C4C2 ⊆ Aut C2×C648(C2xC6).17C4^2192,85
(C2×C6).18C42 = C12.(C4⋊C4)φ: C42/C2×C4C2 ⊆ Aut C2×C696(C2xC6).18C4^2192,89
(C2×C6).19C42 = (C2×C24)⋊5C4φ: C42/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).19C4^2192,109
(C2×C6).20C42 = (C2×C24)⋊C4φ: C42/C2×C4C2 ⊆ Aut C2×C6484(C2xC6).20C4^2192,115
(C2×C6).21C42 = C2×C4×C3⋊C8φ: C42/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).21C4^2192,479
(C2×C6).22C42 = C2×C42.S3φ: C42/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).22C4^2192,480
(C2×C6).23C42 = C4×C4.Dic3φ: C42/C2×C4C2 ⊆ Aut C2×C696(C2xC6).23C4^2192,481
(C2×C6).24C42 = Dic3×C2×C8φ: C42/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).24C4^2192,657
(C2×C6).25C42 = C2×C24⋊C4φ: C42/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).25C4^2192,659
(C2×C6).26C42 = C12.12C42φ: C42/C2×C4C2 ⊆ Aut C2×C696(C2xC6).26C4^2192,660
(C2×C6).27C42 = C2×C6.C42φ: C42/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).27C4^2192,767
(C2×C6).28C42 = C3×C8⋊C8central extension (φ=1)192(C2xC6).28C4^2192,128
(C2×C6).29C42 = C3×C22.7C42central extension (φ=1)192(C2xC6).29C4^2192,142
(C2×C6).30C42 = C6×C2.C42central extension (φ=1)192(C2xC6).30C4^2192,808
(C2×C6).31C42 = C6×C8⋊C4central extension (φ=1)192(C2xC6).31C4^2192,836

׿
×
𝔽