Extensions 1→N→G→Q→1 with N=C6 and Q=C2×C16

Direct product G=N×Q with N=C6 and Q=C2×C16
dρLabelID
C22×C48192C2^2xC48192,935

Semidirect products G=N:Q with N=C6 and Q=C2×C16
extensionφ:Q→Aut NdρLabelID
C61(C2×C16) = S3×C2×C16φ: C2×C16/C16C2 ⊆ Aut C696C6:1(C2xC16)192,458
C62(C2×C16) = C22×C3⋊C16φ: C2×C16/C2×C8C2 ⊆ Aut C6192C6:2(C2xC16)192,655

Non-split extensions G=N.Q with N=C6 and Q=C2×C16
extensionφ:Q→Aut NdρLabelID
C6.1(C2×C16) = S3×C32φ: C2×C16/C16C2 ⊆ Aut C6962C6.1(C2xC16)192,5
C6.2(C2×C16) = C96⋊C2φ: C2×C16/C16C2 ⊆ Aut C6962C6.2(C2xC16)192,6
C6.3(C2×C16) = Dic3×C16φ: C2×C16/C16C2 ⊆ Aut C6192C6.3(C2xC16)192,59
C6.4(C2×C16) = Dic3⋊C16φ: C2×C16/C16C2 ⊆ Aut C6192C6.4(C2xC16)192,60
C6.5(C2×C16) = D6⋊C16φ: C2×C16/C16C2 ⊆ Aut C696C6.5(C2xC16)192,66
C6.6(C2×C16) = C4×C3⋊C16φ: C2×C16/C2×C8C2 ⊆ Aut C6192C6.6(C2xC16)192,19
C6.7(C2×C16) = C12⋊C16φ: C2×C16/C2×C8C2 ⊆ Aut C6192C6.7(C2xC16)192,21
C6.8(C2×C16) = C2×C3⋊C32φ: C2×C16/C2×C8C2 ⊆ Aut C6192C6.8(C2xC16)192,57
C6.9(C2×C16) = C3⋊M6(2)φ: C2×C16/C2×C8C2 ⊆ Aut C6962C6.9(C2xC16)192,58
C6.10(C2×C16) = C24.98D4φ: C2×C16/C2×C8C2 ⊆ Aut C696C6.10(C2xC16)192,108
C6.11(C2×C16) = C3×C22⋊C16central extension (φ=1)96C6.11(C2xC16)192,154
C6.12(C2×C16) = C3×C4⋊C16central extension (φ=1)192C6.12(C2xC16)192,169
C6.13(C2×C16) = C3×M6(2)central extension (φ=1)962C6.13(C2xC16)192,176

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