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Extensions 1→N→G→Q→1 with N=C22×C6 and Q=Q8

Direct product G=N×Q with N=C22×C6 and Q=Q8
dρLabelID
Q8×C22×C6192Q8xC2^2xC6192,1532

Semidirect products G=N:Q with N=C22×C6 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C22×C6)⋊1Q8 = C3×C23⋊Q8φ: Q8/C2 → C22 ⊆ Aut C22×C696(C2^2xC6):1Q8192,826
(C22×C6)⋊2Q8 = C3×C23⋊2Q8φ: Q8/C2 → C22 ⊆ Aut C22×C648(C2^2xC6):2Q8192,1432
(C22×C6)⋊3Q8 = C23⋊2Dic6φ: Q8/C2 → C22 ⊆ Aut C22×C696(C2^2xC6):3Q8192,506
(C22×C6)⋊4Q8 = C2×Dic3.D4φ: Q8/C2 → C22 ⊆ Aut C22×C696(C2^2xC6):4Q8192,1040
(C22×C6)⋊5Q8 = C23⋊3Dic6φ: Q8/C2 → C22 ⊆ Aut C22×C648(C2^2xC6):5Q8192,1042
(C22×C6)⋊6Q8 = C6×C22⋊Q8φ: Q8/C4 → C2 ⊆ Aut C22×C696(C2^2xC6):6Q8192,1412
(C22×C6)⋊7Q8 = C2×C12.48D4φ: Q8/C4 → C2 ⊆ Aut C22×C696(C2^2xC6):7Q8192,1343
(C22×C6)⋊8Q8 = C23×Dic6φ: Q8/C4 → C2 ⊆ Aut C22×C6192(C2^2xC6):8Q8192,1510

Non-split extensions G=N.Q with N=C22×C6 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C22×C6).1Q8 = C3×C4.10C42φ: Q8/C2 → C22 ⊆ Aut C22×C6484(C2^2xC6).1Q8192,144
(C22×C6).2Q8 = C3×C23.9D4φ: Q8/C2 → C22 ⊆ Aut C22×C648(C2^2xC6).2Q8192,148
(C22×C6).3Q8 = C3×C23.Q8φ: Q8/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).3Q8192,829
(C22×C6).4Q8 = C3×C23.4Q8φ: Q8/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).4Q8192,832
(C22×C6).5Q8 = C3×M4(2).C4φ: Q8/C2 → C22 ⊆ Aut C22×C6484(C2^2xC6).5Q8192,863
(C22×C6).6Q8 = C24.12D6φ: Q8/C2 → C22 ⊆ Aut C22×C648(C2^2xC6).6Q8192,85
(C22×C6).7Q8 = C24.13D6φ: Q8/C2 → C22 ⊆ Aut C22×C648(C2^2xC6).7Q8192,86
(C22×C6).8Q8 = C12.4C42φ: Q8/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).8Q8192,117
(C22×C6).9Q8 = C12.21C42φ: Q8/C2 → C22 ⊆ Aut C22×C6484(C2^2xC6).9Q8192,119
(C22×C6).10Q8 = C24.55D6φ: Q8/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).10Q8192,501
(C22×C6).11Q8 = C24.57D6φ: Q8/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).11Q8192,505
(C22×C6).12Q8 = C24.17D6φ: Q8/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).12Q8192,507
(C22×C6).13Q8 = C24.18D6φ: Q8/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).13Q8192,508
(C22×C6).14Q8 = C24.58D6φ: Q8/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).14Q8192,509
(C22×C6).15Q8 = C2×C12.53D4φ: Q8/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).15Q8192,682
(C22×C6).16Q8 = C23.8Dic6φ: Q8/C2 → C22 ⊆ Aut C22×C6484(C2^2xC6).16Q8192,683
(C22×C6).17Q8 = C23.9Dic6φ: Q8/C2 → C22 ⊆ Aut C22×C6484(C2^2xC6).17Q8192,684
(C22×C6).18Q8 = C3×C4.C42φ: Q8/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).18Q8192,147
(C22×C6).19Q8 = C3×C23.7Q8φ: Q8/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).19Q8192,813
(C22×C6).20Q8 = C3×C23.8Q8φ: Q8/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).20Q8192,818
(C22×C6).21Q8 = C6×C8.C4φ: Q8/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).21Q8192,862
(C22×C6).22Q8 = C12.10C42φ: Q8/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).22Q8192,111
(C22×C6).23Q8 = C2×C24.C4φ: Q8/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).23Q8192,666
(C22×C6).24Q8 = C2×C6.C42φ: Q8/C4 → C2 ⊆ Aut C22×C6192(C2^2xC6).24Q8192,767
(C22×C6).25Q8 = C24.73D6φ: Q8/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).25Q8192,769
(C22×C6).26Q8 = C24.75D6φ: Q8/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).26Q8192,771
(C22×C6).27Q8 = C22×Dic3⋊C4φ: Q8/C4 → C2 ⊆ Aut C22×C6192(C2^2xC6).27Q8192,1342
(C22×C6).28Q8 = C22×C4⋊Dic3φ: Q8/C4 → C2 ⊆ Aut C22×C6192(C2^2xC6).28Q8192,1344
(C22×C6).29Q8 = C6×C2.C42central extension (φ=1)192(C2^2xC6).29Q8192,808
(C22×C6).30Q8 = C2×C6×C4⋊C4central extension (φ=1)192(C2^2xC6).30Q8192,1402

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