Extensions 1→N→G→Q→1 with N=C6 and Q=C2×C34

Direct product G=N×Q with N=C6 and Q=C2×C34

Semidirect products G=N:Q with N=C6 and Q=C2×C34
extensionφ:Q→Aut NdρLabelID
C6⋊(C2×C34) = S3×C2×C34φ: C2×C34/C34C2 ⊆ Aut C6204C6:(C2xC34)408,44

Non-split extensions G=N.Q with N=C6 and Q=C2×C34
extensionφ:Q→Aut NdρLabelID
C6.1(C2×C34) = C17×Dic6φ: C2×C34/C34C2 ⊆ Aut C64082C6.1(C2xC34)408,20
C6.2(C2×C34) = S3×C68φ: C2×C34/C34C2 ⊆ Aut C62042C6.2(C2xC34)408,21
C6.3(C2×C34) = C17×D12φ: C2×C34/C34C2 ⊆ Aut C62042C6.3(C2xC34)408,22
C6.4(C2×C34) = Dic3×C34φ: C2×C34/C34C2 ⊆ Aut C6408C6.4(C2xC34)408,23
C6.5(C2×C34) = C17×C3⋊D4φ: C2×C34/C34C2 ⊆ Aut C62042C6.5(C2xC34)408,24
C6.6(C2×C34) = D4×C51central extension (φ=1)2042C6.6(C2xC34)408,31
C6.7(C2×C34) = Q8×C51central extension (φ=1)4082C6.7(C2xC34)408,32