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

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

Semidirect products G=N:Q with N=C62 and Q=C32
extensionφ:Q→Aut NdρLabelID
C62⋊C32 = A4×He3φ: C32/C1C32 ⊆ Aut C62369C6^2:C3^2324,130
C622C32 = C3×C32⋊A4φ: C32/C3C3 ⊆ Aut C6254C6^2:2C3^2324,135
C623C32 = C2×C6×He3φ: C32/C3C3 ⊆ Aut C62108C6^2:3C3^2324,152
C624C32 = A4×C33φ: C32/C3C3 ⊆ Aut C62108C6^2:4C3^2324,171

Non-split extensions G=N.Q with N=C62 and Q=C32
extensionφ:Q→Aut NdρLabelID
C62.1C32 = He3.A4φ: C32/C1C32 ⊆ Aut C62549C6^2.1C3^2324,53
C62.2C32 = He3⋊A4φ: C32/C1C32 ⊆ Aut C62549C6^2.2C3^2324,54
C62.3C32 = He32A4φ: C32/C1C32 ⊆ Aut C62369C6^2.3C3^2324,55
C62.4C32 = C62.C32φ: C32/C1C32 ⊆ Aut C62549C6^2.4C3^2324,56
C62.5C32 = 3- 1+2⋊A4φ: C32/C1C32 ⊆ Aut C62549C6^2.5C3^2324,57
C62.6C32 = C62.6C32φ: C32/C1C32 ⊆ Aut C62369C6^2.6C3^2324,58
C62.7C32 = He3.2A4φ: C32/C1C32 ⊆ Aut C62549C6^2.7C3^2324,129
C62.8C32 = A4×3- 1+2φ: C32/C1C32 ⊆ Aut C62369C6^2.8C3^2324,131
C62.9C32 = C62.9C32φ: C32/C1C32 ⊆ Aut C62549C6^2.9C3^2324,132
C62.10C32 = C9×C3.A4φ: C32/C3C3 ⊆ Aut C62162C6^2.10C3^2324,46
C62.11C32 = C62.11C32φ: C32/C3C3 ⊆ Aut C62162C6^2.11C3^2324,47
C62.12C32 = C62.12C32φ: C32/C3C3 ⊆ Aut C62162C6^2.12C3^2324,48
C62.13C32 = C62.13C32φ: C32/C3C3 ⊆ Aut C62543C6^2.13C3^2324,49
C62.14C32 = C62.14C32φ: C32/C3C3 ⊆ Aut C62543C6^2.14C3^2324,50
C62.15C32 = C62.15C32φ: C32/C3C3 ⊆ Aut C62543C6^2.15C3^2324,51
C62.16C32 = C62.16C32φ: C32/C3C3 ⊆ Aut C62108C6^2.16C3^2324,52
C62.17C32 = C62⋊C9φ: C32/C3C3 ⊆ Aut C6254C6^2.17C3^2324,59
C62.18C32 = C332A4φ: C32/C3C3 ⊆ Aut C62183C6^2.18C3^2324,60
C62.19C32 = C22×C3≀C3φ: C32/C3C3 ⊆ Aut C6236C6^2.19C3^2324,86
C62.20C32 = C22×He3.C3φ: C32/C3C3 ⊆ Aut C62108C6^2.20C3^2324,87
C62.21C32 = C22×He3⋊C3φ: C32/C3C3 ⊆ Aut C62108C6^2.21C3^2324,88
C62.22C32 = C22×C3.He3φ: C32/C3C3 ⊆ Aut C62108C6^2.22C3^2324,89
C62.23C32 = A4×C3×C9φ: C32/C3C3 ⊆ Aut C62108C6^2.23C3^2324,126
C62.24C32 = C3×C9⋊A4φ: C32/C3C3 ⊆ Aut C62108C6^2.24C3^2324,127
C62.25C32 = C62.25C32φ: C32/C3C3 ⊆ Aut C62543C6^2.25C3^2324,128
C62.26C32 = C32×C3.A4φ: C32/C3C3 ⊆ Aut C62162C6^2.26C3^2324,133
C62.27C32 = C3×C32.A4φ: C32/C3C3 ⊆ Aut C6254C6^2.27C3^2324,134
C62.28C32 = C22×C9○He3φ: C32/C3C3 ⊆ Aut C62108C6^2.28C3^2324,154
C62.29C32 = C22×C32⋊C9central extension (φ=1)108C6^2.29C3^2324,82
C62.30C32 = C22×C9⋊C9central extension (φ=1)324C6^2.30C3^2324,83
C62.31C32 = C2×C6×3- 1+2central extension (φ=1)108C6^2.31C3^2324,153

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