Extensions 1→N→G→Q→1 with N=C8 and Q=C33⋊C2

Direct product G=N×Q with N=C8 and Q=C33⋊C2
dρLabelID
C8×C33⋊C2216C8xC3^3:C2432,496

Semidirect products G=N:Q with N=C8 and Q=C33⋊C2
extensionφ:Q→Aut NdρLabelID
C81(C33⋊C2) = C3312D8φ: C33⋊C2/C33C2 ⊆ Aut C8216C8:1(C3^3:C2)432,499
C82(C33⋊C2) = C3321SD16φ: C33⋊C2/C33C2 ⊆ Aut C8216C8:2(C3^3:C2)432,498
C83(C33⋊C2) = C3315M4(2)φ: C33⋊C2/C33C2 ⊆ Aut C8216C8:3(C3^3:C2)432,497

Non-split extensions G=N.Q with N=C8 and Q=C33⋊C2
extensionφ:Q→Aut NdρLabelID
C8.(C33⋊C2) = C3312Q16φ: C33⋊C2/C33C2 ⊆ Aut C8432C8.(C3^3:C2)432,500
C8.2(C33⋊C2) = C337C16central extension (φ=1)432C8.2(C3^3:C2)432,231

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