Extensions 1→N→G→Q→1 with N=Q8⋊C9 and Q=C6

Direct product G=N×Q with N=Q8⋊C9 and Q=C6

Semidirect products G=N:Q with N=Q8⋊C9 and Q=C6
extensionφ:Q→Out NdρLabelID
Q8⋊C9⋊C6 = C32.GL2(𝔽3)φ: C6/C1C6 ⊆ Out Q8⋊C97212+Q8:C9:C6432,245
Q8⋊C92C6 = C2×C18.A4φ: C6/C2C3 ⊆ Out Q8⋊C9144Q8:C9:2C6432,328
Q8⋊C93C6 = C2×Q8⋊3- 1+2φ: C6/C2C3 ⊆ Out Q8⋊C9144Q8:C9:3C6432,335
Q8⋊C94C6 = Q8⋊C94C6φ: C6/C2C3 ⊆ Out Q8⋊C9726Q8:C9:4C6432,338
Q8⋊C95C6 = C3×Q8⋊D9φ: C6/C3C2 ⊆ Out Q8⋊C91444Q8:C9:5C6432,246
Q8⋊C96C6 = C18×SL2(𝔽3)φ: trivial image144Q8:C9:6C6432,327
Q8⋊C97C6 = C3×Q8.C18φ: trivial image216Q8:C9:7C6432,337

Non-split extensions G=N.Q with N=Q8⋊C9 and Q=C6
extensionφ:Q→Out NdρLabelID
Q8⋊C9.C6 = C32.CSU2(𝔽3)φ: C6/C1C6 ⊆ Out Q8⋊C914412-Q8:C9.C6432,243
Q8⋊C9.2C6 = C36.A4φ: C6/C2C3 ⊆ Out Q8⋊C91446Q8:C9.2C6432,330
Q8⋊C9.3C6 = C3×Q8.D9φ: C6/C3C2 ⊆ Out Q8⋊C91444Q8:C9.3C6432,244
Q8⋊C9.4C6 = C9×C4.A4φ: trivial image1442Q8:C9.4C6432,329