# Extensions 1→N→G→Q→1 with N=C8 and Q=C22×C6

Direct product G=N×Q with N=C8 and Q=C22×C6
dρLabelID
C23×C24192C2^3xC24192,1454

Semidirect products G=N:Q with N=C8 and Q=C22×C6
extensionφ:Q→Aut NdρLabelID
C8⋊(C22×C6) = C6×C8⋊C22φ: C22×C6/C6C22 ⊆ Aut C848C8:(C2^2xC6)192,1462
C82(C22×C6) = C2×C6×D8φ: C22×C6/C2×C6C2 ⊆ Aut C896C8:2(C2^2xC6)192,1458
C83(C22×C6) = C2×C6×SD16φ: C22×C6/C2×C6C2 ⊆ Aut C896C8:3(C2^2xC6)192,1459
C84(C22×C6) = C2×C6×M4(2)φ: C22×C6/C2×C6C2 ⊆ Aut C896C8:4(C2^2xC6)192,1455

Non-split extensions G=N.Q with N=C8 and Q=C22×C6
extensionφ:Q→Aut NdρLabelID
C8.1(C22×C6) = C6×C8.C22φ: C22×C6/C6C22 ⊆ Aut C896C8.1(C2^2xC6)192,1463
C8.2(C22×C6) = C3×D8⋊C22φ: C22×C6/C6C22 ⊆ Aut C8484C8.2(C2^2xC6)192,1464
C8.3(C22×C6) = C6×D16φ: C22×C6/C2×C6C2 ⊆ Aut C896C8.3(C2^2xC6)192,938
C8.4(C22×C6) = C6×SD32φ: C22×C6/C2×C6C2 ⊆ Aut C896C8.4(C2^2xC6)192,939
C8.5(C22×C6) = C6×Q32φ: C22×C6/C2×C6C2 ⊆ Aut C8192C8.5(C2^2xC6)192,940
C8.6(C22×C6) = C3×C4○D16φ: C22×C6/C2×C6C2 ⊆ Aut C8962C8.6(C2^2xC6)192,941
C8.7(C22×C6) = C3×C16⋊C22φ: C22×C6/C2×C6C2 ⊆ Aut C8484C8.7(C2^2xC6)192,942
C8.8(C22×C6) = C3×Q32⋊C2φ: C22×C6/C2×C6C2 ⊆ Aut C8964C8.8(C2^2xC6)192,943
C8.9(C22×C6) = C2×C6×Q16φ: C22×C6/C2×C6C2 ⊆ Aut C8192C8.9(C2^2xC6)192,1460
C8.10(C22×C6) = C3×D4○D8φ: C22×C6/C2×C6C2 ⊆ Aut C8484C8.10(C2^2xC6)192,1465
C8.11(C22×C6) = C3×Q8○D8φ: C22×C6/C2×C6C2 ⊆ Aut C8964C8.11(C2^2xC6)192,1467
C8.12(C22×C6) = C6×C4○D8φ: C22×C6/C2×C6C2 ⊆ Aut C896C8.12(C2^2xC6)192,1461
C8.13(C22×C6) = C3×D4○SD16φ: C22×C6/C2×C6C2 ⊆ Aut C8484C8.13(C2^2xC6)192,1466
C8.14(C22×C6) = C3×Q8○M4(2)φ: C22×C6/C2×C6C2 ⊆ Aut C8484C8.14(C2^2xC6)192,1457
C8.15(C22×C6) = C6×M5(2)central extension (φ=1)96C8.15(C2^2xC6)192,936
C8.16(C22×C6) = C3×D4○C16central extension (φ=1)962C8.16(C2^2xC6)192,937
C8.17(C22×C6) = C6×C8○D4central extension (φ=1)96C8.17(C2^2xC6)192,1456

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