# Extensions 1→N→G→Q→1 with N=C23×C4 and Q=C6

Direct product G=N×Q with N=C23×C4 and Q=C6
dρLabelID
C24×C12192C2^4xC12192,1530

Semidirect products G=N:Q with N=C23×C4 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C23×C4)⋊1C6 = A4×C22⋊C4φ: C6/C1C6 ⊆ Aut C23×C424(C2^3xC4):1C6192,994
(C23×C4)⋊2C6 = C2×D4×A4φ: C6/C1C6 ⊆ Aut C23×C424(C2^3xC4):2C6192,1497
(C23×C4)⋊3C6 = A4×C4○D4φ: C6/C1C6 ⊆ Aut C23×C4246(C2^3xC4):3C6192,1501
(C23×C4)⋊4C6 = A4×C22×C4φ: C6/C2C3 ⊆ Aut C23×C448(C2^3xC4):4C6192,1496
(C23×C4)⋊5C6 = C3×C23.23D4φ: C6/C3C2 ⊆ Aut C23×C496(C2^3xC4):5C6192,819
(C23×C4)⋊6C6 = C2×C6×C22⋊C4φ: C6/C3C2 ⊆ Aut C23×C496(C2^3xC4):6C6192,1401
(C23×C4)⋊7C6 = D4×C2×C12φ: C6/C3C2 ⊆ Aut C23×C496(C2^3xC4):7C6192,1404
(C23×C4)⋊8C6 = C6×C22.D4φ: C6/C3C2 ⊆ Aut C23×C496(C2^3xC4):8C6192,1413
(C23×C4)⋊9C6 = C6×C4⋊D4φ: C6/C3C2 ⊆ Aut C23×C496(C2^3xC4):9C6192,1411
(C23×C4)⋊10C6 = C3×C22.19C24φ: C6/C3C2 ⊆ Aut C23×C448(C2^3xC4):10C6192,1414
(C23×C4)⋊11C6 = D4×C22×C6φ: C6/C3C2 ⊆ Aut C23×C496(C2^3xC4):11C6192,1531
(C23×C4)⋊12C6 = C2×C6×C4○D4φ: C6/C3C2 ⊆ Aut C23×C496(C2^3xC4):12C6192,1533

Non-split extensions G=N.Q with N=C23×C4 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C23×C4).1C6 = A4×C4⋊C4φ: C6/C1C6 ⊆ Aut C23×C448(C2^3xC4).1C6192,995
(C23×C4).2C6 = A4×M4(2)φ: C6/C1C6 ⊆ Aut C23×C4246(C2^3xC4).2C6192,1011
(C23×C4).3C6 = C2×Q8×A4φ: C6/C1C6 ⊆ Aut C23×C448(C2^3xC4).3C6192,1499
(C23×C4).4C6 = A4×C42φ: C6/C2C3 ⊆ Aut C23×C448(C2^3xC4).4C6192,993
(C23×C4).5C6 = A4×C2×C8φ: C6/C2C3 ⊆ Aut C23×C448(C2^3xC4).5C6192,1010
(C23×C4).6C6 = C6×C2.C42φ: C6/C3C2 ⊆ Aut C23×C4192(C2^3xC4).6C6192,808
(C23×C4).7C6 = C12×C22⋊C4φ: C6/C3C2 ⊆ Aut C23×C496(C2^3xC4).7C6192,810
(C23×C4).8C6 = C3×C23.34D4φ: C6/C3C2 ⊆ Aut C23×C496(C2^3xC4).8C6192,814
(C23×C4).9C6 = C3×C23.8Q8φ: C6/C3C2 ⊆ Aut C23×C496(C2^3xC4).9C6192,818
(C23×C4).10C6 = C6×C22⋊C8φ: C6/C3C2 ⊆ Aut C23×C496(C2^3xC4).10C6192,839
(C23×C4).11C6 = C2×C6×C4⋊C4φ: C6/C3C2 ⊆ Aut C23×C4192(C2^3xC4).11C6192,1402
(C23×C4).12C6 = C3×C23.7Q8φ: C6/C3C2 ⊆ Aut C23×C496(C2^3xC4).12C6192,813
(C23×C4).13C6 = C3×C24.4C4φ: C6/C3C2 ⊆ Aut C23×C448(C2^3xC4).13C6192,840
(C23×C4).14C6 = C6×C42⋊C2φ: C6/C3C2 ⊆ Aut C23×C496(C2^3xC4).14C6192,1403
(C23×C4).15C6 = C6×C22⋊Q8φ: C6/C3C2 ⊆ Aut C23×C496(C2^3xC4).15C6192,1412
(C23×C4).16C6 = C2×C6×M4(2)φ: C6/C3C2 ⊆ Aut C23×C496(C2^3xC4).16C6192,1455
(C23×C4).17C6 = Q8×C22×C6φ: C6/C3C2 ⊆ Aut C23×C4192(C2^3xC4).17C6192,1532

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