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Extensions 1→N→G→Q→1 with N=C63 and Q=C6

Direct product G=N×Q with N=C63 and Q=C6
dρLabelID
C3×C126378C3xC126378,44

Semidirect products G=N:Q with N=C63 and Q=C6
extensionφ:Q→Aut NdρLabelID
C63⋊1C6 = D63⋊C3φ: C6/C1 → C6 ⊆ Aut C63636+C63:1C6378,39
C63⋊2C6 = C9⋊5F7φ: C6/C1 → C6 ⊆ Aut C63636+C63:2C6378,20
C63⋊3C6 = C9⋊F7φ: C6/C1 → C6 ⊆ Aut C63636+C63:3C6378,18
C63⋊4C6 = C9⋊2F7φ: C6/C1 → C6 ⊆ Aut C63636+C63:4C6378,19
C63⋊5C6 = C63⋊C6φ: C6/C1 → C6 ⊆ Aut C63636C63:5C6378,13
C63⋊6C6 = C63⋊6C6φ: C6/C1 → C6 ⊆ Aut C63636C63:6C6378,14
C63⋊7C6 = C7×C9⋊C6φ: C6/C1 → C6 ⊆ Aut C63636C63:7C6378,35
C63⋊8C6 = D9×C7⋊C3φ: C6/C1 → C6 ⊆ Aut C63636C63:8C6378,15
C63⋊9C6 = C9×F7φ: C6/C1 → C6 ⊆ Aut C63636C63:9C6378,7
C63⋊10C6 = C9⋊3F7φ: C6/C1 → C6 ⊆ Aut C63636C63:10C6378,8
C63⋊11C6 = C9⋊4F7φ: C6/C1 → C6 ⊆ Aut C63636C63:11C6378,9
C63⋊12C6 = D7×3- 1+2φ: C6/C1 → C6 ⊆ Aut C63636C63:12C6378,31
C63⋊13C6 = C18×C7⋊C3φ: C6/C2 → C3 ⊆ Aut C631263C63:13C6378,23
C63⋊14C6 = C2×C63⋊C3φ: C6/C2 → C3 ⊆ Aut C631263C63:14C6378,24
C63⋊15C6 = C2×C63⋊3C3φ: C6/C2 → C3 ⊆ Aut C631263C63:15C6378,25
C63⋊16C6 = C14×3- 1+2φ: C6/C2 → C3 ⊆ Aut C631263C63:16C6378,46
C63⋊17C6 = C3×D63φ: C6/C3 → C2 ⊆ Aut C631262C63:17C6378,36
C63⋊18C6 = D9×C21φ: C6/C3 → C2 ⊆ Aut C631262C63:18C6378,32
C63⋊19C6 = D7×C3×C9φ: C6/C3 → C2 ⊆ Aut C63189C63:19C6378,29

Non-split extensions G=N.Q with N=C63 and Q=C6
extensionφ:Q→Aut NdρLabelID
C63.C6 = C7⋊C54φ: C6/C1 → C6 ⊆ Aut C631896C63.C6378,1
C63.2C6 = C2×C7⋊C27φ: C6/C2 → C3 ⊆ Aut C633783C63.2C6378,2
C63.3C6 = D7×C27φ: C6/C3 → C2 ⊆ Aut C631892C63.3C6378,4

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