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Extensions 1→N→G→Q→1 with N=Q8 and Q=C22×C6

Direct product G=N×Q with N=Q8 and Q=C22×C6
dρLabelID
Q8×C22×C6192Q8xC2^2xC6192,1532

Semidirect products G=N:Q with N=Q8 and Q=C22×C6
extensionφ:Q→Out NdρLabelID
Q8⋊(C22×C6) = C23×SL2(𝔽3)φ: C22×C6/C23 → C3 ⊆ Out Q864Q8:(C2^2xC6)192,1498
Q8⋊2(C22×C6) = C2×C6×SD16φ: C22×C6/C2×C6 → C2 ⊆ Out Q896Q8:2(C2^2xC6)192,1459
Q8⋊3(C22×C6) = C6×C8⋊C22φ: C22×C6/C2×C6 → C2 ⊆ Out Q848Q8:3(C2^2xC6)192,1462
Q8⋊4(C22×C6) = C2×C6×C4○D4φ: trivial image96Q8:4(C2^2xC6)192,1533
Q8⋊5(C22×C6) = C6×2+ 1+4φ: trivial image48Q8:5(C2^2xC6)192,1534

Non-split extensions G=N.Q with N=Q8 and Q=C22×C6
extensionφ:Q→Out NdρLabelID
Q8.1(C22×C6) = C22×C4.A4φ: C22×C6/C23 → C3 ⊆ Out Q864Q8.1(C2^2xC6)192,1500
Q8.2(C22×C6) = C2×Q8.A4φ: C22×C6/C23 → C3 ⊆ Out Q848Q8.2(C2^2xC6)192,1502
Q8.3(C22×C6) = C2×D4.A4φ: C22×C6/C23 → C3 ⊆ Out Q832Q8.3(C2^2xC6)192,1503
Q8.4(C22×C6) = 2- 1+4⋊3C6φ: C22×C6/C23 → C3 ⊆ Out Q8324Q8.4(C2^2xC6)192,1504
Q8.5(C22×C6) = C2×C6×Q16φ: C22×C6/C2×C6 → C2 ⊆ Out Q8192Q8.5(C2^2xC6)192,1460
Q8.6(C22×C6) = C6×C4○D8φ: C22×C6/C2×C6 → C2 ⊆ Out Q896Q8.6(C2^2xC6)192,1461
Q8.7(C22×C6) = C6×C8.C22φ: C22×C6/C2×C6 → C2 ⊆ Out Q896Q8.7(C2^2xC6)192,1463
Q8.8(C22×C6) = C3×D8⋊C22φ: C22×C6/C2×C6 → C2 ⊆ Out Q8484Q8.8(C2^2xC6)192,1464
Q8.9(C22×C6) = C3×D4○D8φ: C22×C6/C2×C6 → C2 ⊆ Out Q8484Q8.9(C2^2xC6)192,1465
Q8.10(C22×C6) = C3×D4○SD16φ: C22×C6/C2×C6 → C2 ⊆ Out Q8484Q8.10(C2^2xC6)192,1466
Q8.11(C22×C6) = C3×Q8○D8φ: C22×C6/C2×C6 → C2 ⊆ Out Q8964Q8.11(C2^2xC6)192,1467
Q8.12(C22×C6) = C6×2- 1+4φ: trivial image96Q8.12(C2^2xC6)192,1535
Q8.13(C22×C6) = C3×C2.C25φ: trivial image484Q8.13(C2^2xC6)192,1536

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