Extensions 1→N→G→Q→1 with N=C32 and Q=C2×C3⋊C8

Direct product G=N×Q with N=C32 and Q=C2×C3⋊C8
dρLabelID
C3×C6×C3⋊C8144C3xC6xC3:C8432,469

Semidirect products G=N:Q with N=C32 and Q=C2×C3⋊C8
extensionφ:Q→Aut NdρLabelID
C32⋊(C2×C3⋊C8) = C32⋊C6⋊C8φ: C2×C3⋊C8/C4D6 ⊆ Aut C32726C3^2:(C2xC3:C8)432,76
C322(C2×C3⋊C8) = C2×C3⋊F9φ: C2×C3⋊C8/C6C8 ⊆ Aut C32488C3^2:2(C2xC3:C8)432,752
C323(C2×C3⋊C8) = C2×He33C8φ: C2×C3⋊C8/C2×C4S3 ⊆ Aut C32144C3^2:3(C2xC3:C8)432,136
C324(C2×C3⋊C8) = C2×He34C8φ: C2×C3⋊C8/C2×C4S3 ⊆ Aut C32144C3^2:4(C2xC3:C8)432,184
C325(C2×C3⋊C8) = C337(C2×C8)φ: C2×C3⋊C8/C12C4 ⊆ Aut C32484C3^2:5(C2xC3:C8)432,635
C326(C2×C3⋊C8) = S3×C324C8φ: C2×C3⋊C8/C12C22 ⊆ Aut C32144C3^2:6(C2xC3:C8)432,430
C327(C2×C3⋊C8) = C12.93S32φ: C2×C3⋊C8/C12C22 ⊆ Aut C32484C3^2:7(C2xC3:C8)432,455
C328(C2×C3⋊C8) = C2×C334C8φ: C2×C3⋊C8/C2×C6C4 ⊆ Aut C3248C3^2:8(C2xC3:C8)432,639
C329(C2×C3⋊C8) = C3×S3×C3⋊C8φ: C2×C3⋊C8/C3⋊C8C2 ⊆ Aut C32484C3^2:9(C2xC3:C8)432,414
C3210(C2×C3⋊C8) = C3⋊S3×C3⋊C8φ: C2×C3⋊C8/C3⋊C8C2 ⊆ Aut C32144C3^2:10(C2xC3:C8)432,431
C3211(C2×C3⋊C8) = C6×C324C8φ: C2×C3⋊C8/C2×C12C2 ⊆ Aut C32144C3^2:11(C2xC3:C8)432,485
C3212(C2×C3⋊C8) = C2×C337C8φ: C2×C3⋊C8/C2×C12C2 ⊆ Aut C32432C3^2:12(C2xC3:C8)432,501

Non-split extensions G=N.Q with N=C32 and Q=C2×C3⋊C8
extensionφ:Q→Aut NdρLabelID
C32.(C2×C3⋊C8) = C2×C9⋊C24φ: C2×C3⋊C8/C2×C4S3 ⊆ Aut C32144C3^2.(C2xC3:C8)432,142
C32.2(C2×C3⋊C8) = S3×C9⋊C8φ: C2×C3⋊C8/C12C22 ⊆ Aut C321444C3^2.2(C2xC3:C8)432,66
C32.3(C2×C3⋊C8) = C6×C9⋊C8φ: C2×C3⋊C8/C2×C12C2 ⊆ Aut C32144C3^2.3(C2xC3:C8)432,124
C32.4(C2×C3⋊C8) = C2×C36.S3φ: C2×C3⋊C8/C2×C12C2 ⊆ Aut C32432C3^2.4(C2xC3:C8)432,178

׿
×
𝔽