# Extensions 1→N→G→Q→1 with N=C33 and Q=C2×C8

Direct product G=N×Q with N=C33 and Q=C2×C8
dρLabelID
C3×C6×C24432C3xC6xC24432,515

Semidirect products G=N:Q with N=C33 and Q=C2×C8
extensionφ:Q→Aut NdρLabelID
C33⋊(C2×C8) = S3×F9φ: C2×C8/C1C2×C8 ⊆ Aut C332416+C3^3:(C2xC8)432,736
C332(C2×C8) = C6×F9φ: C2×C8/C2C8 ⊆ Aut C33488C3^3:2(C2xC8)432,751
C333(C2×C8) = C2×C3⋊F9φ: C2×C8/C2C8 ⊆ Aut C33488C3^3:3(C2xC8)432,752
C334(C2×C8) = S3×C322C8φ: C2×C8/C2C2×C4 ⊆ Aut C33488-C3^3:4(C2xC8)432,570
C335(C2×C8) = C335(C2×C8)φ: C2×C8/C2C2×C4 ⊆ Aut C33248+C3^3:5(C2xC8)432,571
C336(C2×C8) = C3×C3⋊S33C8φ: C2×C8/C4C4 ⊆ Aut C33484C3^3:6(C2xC8)432,628
C337(C2×C8) = C337(C2×C8)φ: C2×C8/C4C4 ⊆ Aut C33484C3^3:7(C2xC8)432,635
C338(C2×C8) = C3×S3×C3⋊C8φ: C2×C8/C4C22 ⊆ Aut C33484C3^3:8(C2xC8)432,414
C339(C2×C8) = C3×C12.29D6φ: C2×C8/C4C22 ⊆ Aut C33484C3^3:9(C2xC8)432,415
C3310(C2×C8) = S3×C324C8φ: C2×C8/C4C22 ⊆ Aut C33144C3^3:10(C2xC8)432,430
C3311(C2×C8) = C3⋊S3×C3⋊C8φ: C2×C8/C4C22 ⊆ Aut C33144C3^3:11(C2xC8)432,431
C3312(C2×C8) = C12.69S32φ: C2×C8/C4C22 ⊆ Aut C3372C3^3:12(C2xC8)432,432
C3313(C2×C8) = C12.93S32φ: C2×C8/C4C22 ⊆ Aut C33484C3^3:13(C2xC8)432,455
C3314(C2×C8) = C6×C322C8φ: C2×C8/C22C4 ⊆ Aut C3348C3^3:14(C2xC8)432,632
C3315(C2×C8) = C2×C334C8φ: C2×C8/C22C4 ⊆ Aut C3348C3^3:15(C2xC8)432,639
C3316(C2×C8) = S3×C3×C24φ: C2×C8/C8C2 ⊆ Aut C33144C3^3:16(C2xC8)432,464
C3317(C2×C8) = C3⋊S3×C24φ: C2×C8/C8C2 ⊆ Aut C33144C3^3:17(C2xC8)432,480
C3318(C2×C8) = C8×C33⋊C2φ: C2×C8/C8C2 ⊆ Aut C33216C3^3:18(C2xC8)432,496
C3319(C2×C8) = C3×C6×C3⋊C8φ: C2×C8/C2×C4C2 ⊆ Aut C33144C3^3:19(C2xC8)432,469
C3320(C2×C8) = C6×C324C8φ: C2×C8/C2×C4C2 ⊆ Aut C33144C3^3:20(C2xC8)432,485
C3321(C2×C8) = C2×C337C8φ: C2×C8/C2×C4C2 ⊆ Aut C33432C3^3:21(C2xC8)432,501

׿
×
𝔽