# Extensions 1→N→G→Q→1 with N=C8 and Q=C62

Direct product G=N×Q with N=C8 and Q=C62
dρLabelID
C2×C6×C24288C2xC6xC24288,826

Semidirect products G=N:Q with N=C8 and Q=C62
extensionφ:Q→Aut NdρLabelID
C8⋊C62 = C32×C8⋊C22φ: C62/C32C22 ⊆ Aut C872C8:C6^2288,833
C82C62 = D8×C3×C6φ: C62/C3×C6C2 ⊆ Aut C8144C8:2C6^2288,829
C83C62 = SD16×C3×C6φ: C62/C3×C6C2 ⊆ Aut C8144C8:3C6^2288,830
C84C62 = M4(2)×C3×C6φ: C62/C3×C6C2 ⊆ Aut C8144C8:4C6^2288,827

Non-split extensions G=N.Q with N=C8 and Q=C62
extensionφ:Q→Aut NdρLabelID
C8.C62 = C32×C8.C22φ: C62/C32C22 ⊆ Aut C8144C8.C6^2288,834
C8.2C62 = C32×D16φ: C62/C3×C6C2 ⊆ Aut C8144C8.2C6^2288,329
C8.3C62 = C32×SD32φ: C62/C3×C6C2 ⊆ Aut C8144C8.3C6^2288,330
C8.4C62 = C32×Q32φ: C62/C3×C6C2 ⊆ Aut C8288C8.4C6^2288,331
C8.5C62 = Q16×C3×C6φ: C62/C3×C6C2 ⊆ Aut C8288C8.5C6^2288,831
C8.6C62 = C32×C4○D8φ: C62/C3×C6C2 ⊆ Aut C8144C8.6C6^2288,832
C8.7C62 = C32×C8○D4φ: C62/C3×C6C2 ⊆ Aut C8144C8.7C6^2288,828
C8.8C62 = C32×M5(2)central extension (φ=1)144C8.8C6^2288,328

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