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

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

Semidirect products G=N:Q with N=C16 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
C16⋊(C2×C6) = C3×C16⋊C22φ: C2×C6/C3 → C22 ⊆ Aut C16484C16:(C2xC6)192,942
C16⋊2(C2×C6) = C6×D16φ: C2×C6/C6 → C2 ⊆ Aut C1696C16:2(C2xC6)192,938
C16⋊3(C2×C6) = C6×SD32φ: C2×C6/C6 → C2 ⊆ Aut C1696C16:3(C2xC6)192,939
C16⋊4(C2×C6) = C6×M5(2)φ: C2×C6/C6 → C2 ⊆ Aut C1696C16:4(C2xC6)192,936

Non-split extensions G=N.Q with N=C16 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
C16.(C2×C6) = C3×Q32⋊C2φ: C2×C6/C3 → C22 ⊆ Aut C16964C16.(C2xC6)192,943
C16.2(C2×C6) = C3×D32φ: C2×C6/C6 → C2 ⊆ Aut C16962C16.2(C2xC6)192,177
C16.3(C2×C6) = C3×SD64φ: C2×C6/C6 → C2 ⊆ Aut C16962C16.3(C2xC6)192,178
C16.4(C2×C6) = C3×Q64φ: C2×C6/C6 → C2 ⊆ Aut C161922C16.4(C2xC6)192,179
C16.5(C2×C6) = C6×Q32φ: C2×C6/C6 → C2 ⊆ Aut C16192C16.5(C2xC6)192,940
C16.6(C2×C6) = C3×C4○D16φ: C2×C6/C6 → C2 ⊆ Aut C16962C16.6(C2xC6)192,941
C16.7(C2×C6) = C3×M6(2)central extension (φ=1)962C16.7(C2xC6)192,176
C16.8(C2×C6) = C3×D4○C16central extension (φ=1)962C16.8(C2xC6)192,937

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