Extensions 1→N→G→Q→1 with N=C3 and Q=S3×C2×C8

Direct product G=N×Q with N=C3 and Q=S3×C2×C8
dρLabelID
S3×C2×C2496S3xC2xC24288,670

Semidirect products G=N:Q with N=C3 and Q=S3×C2×C8
extensionφ:Q→Aut NdρLabelID
C3⋊1(S3×C2×C8) = S32×C8φ: S3×C2×C8/S3×C8 → C2 ⊆ Aut C3484C3:1(S3xC2xC8)288,437
C3⋊2(S3×C2×C8) = C2×C12.29D6φ: S3×C2×C8/C2×C3⋊C8 → C2 ⊆ Aut C348C3:2(S3xC2xC8)288,464
C3⋊3(S3×C2×C8) = C2×C8×C3⋊S3φ: S3×C2×C8/C2×C24 → C2 ⊆ Aut C3144C3:3(S3xC2xC8)288,756
C3⋊4(S3×C2×C8) = C2×S3×C3⋊C8φ: S3×C2×C8/S3×C2×C4 → C2 ⊆ Aut C396C3:4(S3xC2xC8)288,460

Non-split extensions G=N.Q with N=C3 and Q=S3×C2×C8
extensionφ:Q→Aut NdρLabelID
C3.(S3×C2×C8) = C2×C8×D9φ: S3×C2×C8/C2×C24 → C2 ⊆ Aut C3144C3.(S3xC2xC8)288,110

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁