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Extensions 1→N→G→Q→1 with N=C23 and Q=C2×C6

Direct product G=N×Q with N=C23 and Q=C2×C6
dρLabelID
C24×C696C2^4xC696,231

Semidirect products G=N:Q with N=C23 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
C23⋊1(C2×C6) = C3×C22≀C2φ: C2×C6/C3 → C22 ⊆ Aut C2324C2^3:1(C2xC6)96,167
C23⋊2(C2×C6) = C3×2+ 1+4φ: C2×C6/C3 → C22 ⊆ Aut C23244C2^3:2(C2xC6)96,224
C23⋊3(C2×C6) = C23×A4φ: C2×C6/C22 → C3 ⊆ Aut C2324C2^3:3(C2xC6)96,228
C23⋊4(C2×C6) = D4×C2×C6φ: C2×C6/C6 → C2 ⊆ Aut C2348C2^3:4(C2xC6)96,221

Non-split extensions G=N.Q with N=C23 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
C23.1(C2×C6) = C3×C23⋊C4φ: C2×C6/C3 → C22 ⊆ Aut C23244C2^3.1(C2xC6)96,49
C23.2(C2×C6) = C3×C4.4D4φ: C2×C6/C3 → C22 ⊆ Aut C2348C2^3.2(C2xC6)96,171
C23.3(C2×C6) = C3×C42⋊2C2φ: C2×C6/C3 → C22 ⊆ Aut C2348C2^3.3(C2xC6)96,173
C23.4(C2×C6) = C3×C4⋊1D4φ: C2×C6/C3 → C22 ⊆ Aut C2348C2^3.4(C2xC6)96,174
C23.5(C2×C6) = C2×C4×A4φ: C2×C6/C22 → C3 ⊆ Aut C2324C2^3.5(C2xC6)96,196
C23.6(C2×C6) = D4×A4φ: C2×C6/C22 → C3 ⊆ Aut C23126+C2^3.6(C2xC6)96,197
C23.7(C2×C6) = Q8×A4φ: C2×C6/C22 → C3 ⊆ Aut C23246-C2^3.7(C2xC6)96,199
C23.8(C2×C6) = C6×C22⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C2348C2^3.8(C2xC6)96,162
C23.9(C2×C6) = C3×C42⋊C2φ: C2×C6/C6 → C2 ⊆ Aut C2348C2^3.9(C2xC6)96,164
C23.10(C2×C6) = D4×C12φ: C2×C6/C6 → C2 ⊆ Aut C2348C2^3.10(C2xC6)96,165
C23.11(C2×C6) = C3×C4⋊D4φ: C2×C6/C6 → C2 ⊆ Aut C2348C2^3.11(C2xC6)96,168
C23.12(C2×C6) = C3×C22⋊Q8φ: C2×C6/C6 → C2 ⊆ Aut C2348C2^3.12(C2xC6)96,169
C23.13(C2×C6) = C3×C22.D4φ: C2×C6/C6 → C2 ⊆ Aut C2348C2^3.13(C2xC6)96,170
C23.14(C2×C6) = C6×C4○D4φ: C2×C6/C6 → C2 ⊆ Aut C2348C2^3.14(C2xC6)96,223
C23.15(C2×C6) = C3×C2.C42central extension (φ=1)96C2^3.15(C2xC6)96,45
C23.16(C2×C6) = C6×C4⋊C4central extension (φ=1)96C2^3.16(C2xC6)96,163
C23.17(C2×C6) = Q8×C2×C6central extension (φ=1)96C2^3.17(C2xC6)96,222

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