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Extensions 1→N→G→Q→1 with N=C8 and Q=C2×C12

Direct product G=N×Q with N=C8 and Q=C2×C12
dρLabelID
C2×C4×C24192C2xC4xC24192,835

Semidirect products G=N:Q with N=C8 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
C8⋊1(C2×C12) = C3×M4(2)⋊C4φ: C2×C12/C6 → C22 ⊆ Aut C896C8:1(C2xC12)192,861
C8⋊2(C2×C12) = C3×SD16⋊C4φ: C2×C12/C6 → C22 ⊆ Aut C896C8:2(C2xC12)192,873
C8⋊3(C2×C12) = C3×D8⋊C4φ: C2×C12/C6 → C22 ⊆ Aut C896C8:3(C2xC12)192,875
C8⋊4(C2×C12) = C12×D8φ: C2×C12/C12 → C2 ⊆ Aut C896C8:4(C2xC12)192,870
C8⋊5(C2×C12) = C12×SD16φ: C2×C12/C12 → C2 ⊆ Aut C896C8:5(C2xC12)192,871
C8⋊6(C2×C12) = C12×M4(2)φ: C2×C12/C12 → C2 ⊆ Aut C896C8:6(C2xC12)192,837
C8⋊7(C2×C12) = C6×C2.D8φ: C2×C12/C2×C6 → C2 ⊆ Aut C8192C8:7(C2xC12)192,859
C8⋊8(C2×C12) = C6×C4.Q8φ: C2×C12/C2×C6 → C2 ⊆ Aut C8192C8:8(C2xC12)192,858
C8⋊9(C2×C12) = C6×C8⋊C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C8192C8:9(C2xC12)192,836

Non-split extensions G=N.Q with N=C8 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
C8.1(C2×C12) = C3×D8⋊2C4φ: C2×C12/C6 → C22 ⊆ Aut C8484C8.1(C2xC12)192,166
C8.2(C2×C12) = C3×M5(2)⋊C2φ: C2×C12/C6 → C22 ⊆ Aut C8484C8.2(C2xC12)192,167
C8.3(C2×C12) = C3×C8.17D4φ: C2×C12/C6 → C22 ⊆ Aut C8964C8.3(C2xC12)192,168
C8.4(C2×C12) = C3×M4(2).C4φ: C2×C12/C6 → C22 ⊆ Aut C8484C8.4(C2xC12)192,863
C8.5(C2×C12) = C3×Q16⋊C4φ: C2×C12/C6 → C22 ⊆ Aut C8192C8.5(C2xC12)192,874
C8.6(C2×C12) = C3×C8.26D4φ: C2×C12/C6 → C22 ⊆ Aut C8484C8.6(C2xC12)192,877
C8.7(C2×C12) = C3×C2.D16φ: C2×C12/C12 → C2 ⊆ Aut C896C8.7(C2xC12)192,163
C8.8(C2×C12) = C3×C2.Q32φ: C2×C12/C12 → C2 ⊆ Aut C8192C8.8(C2xC12)192,164
C8.9(C2×C12) = C3×D8.C4φ: C2×C12/C12 → C2 ⊆ Aut C8962C8.9(C2xC12)192,165
C8.10(C2×C12) = C12×Q16φ: C2×C12/C12 → C2 ⊆ Aut C8192C8.10(C2xC12)192,872
C8.11(C2×C12) = C3×C8○D8φ: C2×C12/C12 → C2 ⊆ Aut C8482C8.11(C2xC12)192,876
C8.12(C2×C12) = C3×D4○C16φ: C2×C12/C12 → C2 ⊆ Aut C8962C8.12(C2xC12)192,937
C8.13(C2×C12) = C3×C16⋊3C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C8192C8.13(C2xC12)192,172
C8.14(C2×C12) = C3×C16⋊4C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C8192C8.14(C2xC12)192,173
C8.15(C2×C12) = C3×C8.4Q8φ: C2×C12/C2×C6 → C2 ⊆ Aut C8962C8.15(C2xC12)192,174
C8.16(C2×C12) = C3×C23.25D4φ: C2×C12/C2×C6 → C2 ⊆ Aut C896C8.16(C2xC12)192,860
C8.17(C2×C12) = C6×C8.C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C896C8.17(C2xC12)192,862
C8.18(C2×C12) = C3×C8.Q8φ: C2×C12/C2×C6 → C2 ⊆ Aut C8484C8.18(C2xC12)192,171
C8.19(C2×C12) = C3×C16⋊C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C8484C8.19(C2xC12)192,153
C8.20(C2×C12) = C6×M5(2)φ: C2×C12/C2×C6 → C2 ⊆ Aut C896C8.20(C2xC12)192,936
C8.21(C2×C12) = C3×C16⋊5C4central extension (φ=1)192C8.21(C2xC12)192,152
C8.22(C2×C12) = C3×M6(2)central extension (φ=1)962C8.22(C2xC12)192,176
C8.23(C2×C12) = C3×C8○2M4(2)central extension (φ=1)96C8.23(C2xC12)192,838

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