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Extensions 1→N→G→Q→1 with N=C32×C24 and Q=C2

Direct product G=N×Q with N=C32×C24 and Q=C2
dρLabelID
C3×C6×C24432C3xC6xC24432,515

Semidirect products G=N:Q with N=C32×C24 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C32×C24)⋊1C2 = C33⋊12D8φ: C2/C1 → C2 ⊆ Aut C32×C24216(C3^2xC24):1C2432,499
(C32×C24)⋊2C2 = C32×D24φ: C2/C1 → C2 ⊆ Aut C32×C24144(C3^2xC24):2C2432,467
(C32×C24)⋊3C2 = C3×C32⋊5D8φ: C2/C1 → C2 ⊆ Aut C32×C24144(C3^2xC24):3C2432,483
(C32×C24)⋊4C2 = C33⋊21SD16φ: C2/C1 → C2 ⊆ Aut C32×C24216(C3^2xC24):4C2432,498
(C32×C24)⋊5C2 = C32×C24⋊C2φ: C2/C1 → C2 ⊆ Aut C32×C24144(C3^2xC24):5C2432,466
(C32×C24)⋊6C2 = C3×C24⋊2S3φ: C2/C1 → C2 ⊆ Aut C32×C24144(C3^2xC24):6C2432,482
(C32×C24)⋊7C2 = D8×C33φ: C2/C1 → C2 ⊆ Aut C32×C24216(C3^2xC24):7C2432,517
(C32×C24)⋊8C2 = S3×C3×C24φ: C2/C1 → C2 ⊆ Aut C32×C24144(C3^2xC24):8C2432,464
(C32×C24)⋊9C2 = C3⋊S3×C24φ: C2/C1 → C2 ⊆ Aut C32×C24144(C3^2xC24):9C2432,480
(C32×C24)⋊10C2 = C8×C33⋊C2φ: C2/C1 → C2 ⊆ Aut C32×C24216(C3^2xC24):10C2432,496
(C32×C24)⋊11C2 = C33⋊15M4(2)φ: C2/C1 → C2 ⊆ Aut C32×C24216(C3^2xC24):11C2432,497
(C32×C24)⋊12C2 = C32×C8⋊S3φ: C2/C1 → C2 ⊆ Aut C32×C24144(C3^2xC24):12C2432,465
(C32×C24)⋊13C2 = C3×C24⋊S3φ: C2/C1 → C2 ⊆ Aut C32×C24144(C3^2xC24):13C2432,481
(C32×C24)⋊14C2 = SD16×C33φ: C2/C1 → C2 ⊆ Aut C32×C24216(C3^2xC24):14C2432,518
(C32×C24)⋊15C2 = M4(2)×C33φ: C2/C1 → C2 ⊆ Aut C32×C24216(C3^2xC24):15C2432,516

Non-split extensions G=N.Q with N=C32×C24 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C32×C24).1C2 = C33⋊12Q16φ: C2/C1 → C2 ⊆ Aut C32×C24432(C3^2xC24).1C2432,500
(C32×C24).2C2 = C32×Dic12φ: C2/C1 → C2 ⊆ Aut C32×C24144(C3^2xC24).2C2432,468
(C32×C24).3C2 = C3×C32⋊5Q16φ: C2/C1 → C2 ⊆ Aut C32×C24144(C3^2xC24).3C2432,484
(C32×C24).4C2 = Q16×C33φ: C2/C1 → C2 ⊆ Aut C32×C24432(C3^2xC24).4C2432,519
(C32×C24).5C2 = C32×C3⋊C16φ: C2/C1 → C2 ⊆ Aut C32×C24144(C3^2xC24).5C2432,229
(C32×C24).6C2 = C3×C24.S3φ: C2/C1 → C2 ⊆ Aut C32×C24144(C3^2xC24).6C2432,230
(C32×C24).7C2 = C33⋊7C16φ: C2/C1 → C2 ⊆ Aut C32×C24432(C3^2xC24).7C2432,231

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