# Extensions 1→N→G→Q→1 with N=C32 and Q=C62

Direct product G=N×Q with N=C32 and Q=C62
dρLabelID
C32×C62324C3^2xC6^2324,176

Semidirect products G=N:Q with N=C32 and Q=C62
extensionφ:Q→Aut NdρLabelID
C32⋊C62 = C6×C32⋊C6φ: C62/C6C6 ⊆ Aut C32366C3^2:C6^2324,138
C322C62 = S32×C32φ: C62/C32C22 ⊆ Aut C3236C3^2:2C6^2324,165
C323C62 = C2×C6×He3φ: C62/C2×C6C3 ⊆ Aut C32108C3^2:3C6^2324,152
C324C62 = S3×C32×C6φ: C62/C3×C6C2 ⊆ Aut C32108C3^2:4C6^2324,172
C325C62 = C3⋊S3×C3×C6φ: C62/C3×C6C2 ⊆ Aut C3236C3^2:5C6^2324,173

Non-split extensions G=N.Q with N=C32 and Q=C62
extensionφ:Q→Aut NdρLabelID
C32.1C62 = C22×C3≀C3φ: C62/C2×C6C3 ⊆ Aut C3236C3^2.1C6^2324,86
C32.2C62 = C22×He3.C3φ: C62/C2×C6C3 ⊆ Aut C32108C3^2.2C6^2324,87
C32.3C62 = C22×He3⋊C3φ: C62/C2×C6C3 ⊆ Aut C32108C3^2.3C6^2324,88
C32.4C62 = C22×C3.He3φ: C62/C2×C6C3 ⊆ Aut C32108C3^2.4C6^2324,89
C32.5C62 = C2×C6×3- 1+2φ: C62/C2×C6C3 ⊆ Aut C32108C3^2.5C6^2324,153
C32.6C62 = C22×C9○He3φ: C62/C2×C6C3 ⊆ Aut C32108C3^2.6C6^2324,154
C32.7C62 = S3×C3×C18φ: C62/C3×C6C2 ⊆ Aut C32108C3^2.7C6^2324,137
C32.8C62 = C2×S3×He3φ: C62/C3×C6C2 ⊆ Aut C32366C3^2.8C6^2324,139
C32.9C62 = C2×S3×3- 1+2φ: C62/C3×C6C2 ⊆ Aut C32366C3^2.9C6^2324,141
C32.10C62 = C22×C32⋊C9central extension (φ=1)108C3^2.10C6^2324,82
C32.11C62 = C22×C9⋊C9central extension (φ=1)324C3^2.11C6^2324,83

׿
×
𝔽