Extensions 1→N→G→Q→1 with N=Q8 and Q=C62

Direct product G=N×Q with N=Q8 and Q=C62

Semidirect products G=N:Q with N=Q8 and Q=C62
extensionφ:Q→Out NdρLabelID
Q8⋊C62 = C2×C6×SL2(𝔽3)φ: C62/C2×C6C3 ⊆ Out Q896Q8:C6^2288,981
Q82C62 = SD16×C3×C6φ: C62/C3×C6C2 ⊆ Out Q8144Q8:2C6^2288,830
Q83C62 = C32×C8⋊C22φ: C62/C3×C6C2 ⊆ Out Q872Q8:3C6^2288,833
Q84C62 = C4○D4×C3×C6φ: trivial image144Q8:4C6^2288,1021
Q85C62 = C32×2+ 1+4φ: trivial image72Q8:5C6^2288,1022

Non-split extensions G=N.Q with N=Q8 and Q=C62
extensionφ:Q→Out NdρLabelID
Q8.1C62 = C6×C4.A4φ: C62/C2×C6C3 ⊆ Out Q896Q8.1C6^2288,983
Q8.2C62 = C3×Q8.A4φ: C62/C2×C6C3 ⊆ Out Q8724Q8.2C6^2288,984
Q8.3C62 = C3×D4.A4φ: C62/C2×C6C3 ⊆ Out Q8484Q8.3C6^2288,985
Q8.4C62 = Q16×C3×C6φ: C62/C3×C6C2 ⊆ Out Q8288Q8.4C6^2288,831
Q8.5C62 = C32×C4○D8φ: C62/C3×C6C2 ⊆ Out Q8144Q8.5C6^2288,832
Q8.6C62 = C32×C8.C22φ: C62/C3×C6C2 ⊆ Out Q8144Q8.6C6^2288,834
Q8.7C62 = C32×2- 1+4φ: trivial image144Q8.7C6^2288,1023