Extensions 1→N→G→Q→1 with N=Q8⋊He3 and Q=C2

Direct product G=N×Q with N=Q8⋊He3 and Q=C2

Semidirect products G=N:Q with N=Q8⋊He3 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8⋊He31C2 = C322GL2(𝔽3)φ: C2/C1C2 ⊆ Out Q8⋊He37212+Q8:He3:1C2432,248
Q8⋊He32C2 = C323GL2(𝔽3)φ: C2/C1C2 ⊆ Out Q8⋊He3726Q8:He3:2C2432,258
Q8⋊He33C2 = C6.(S3×A4)φ: C2/C1C2 ⊆ Out Q8⋊He37212+Q8:He3:3C2432,269
Q8⋊He34C2 = Q8⋊He3⋊C2φ: C2/C1C2 ⊆ Out Q8⋊He37212-Q8:He3:4C2432,270
Q8⋊He35C2 = C4○D4⋊He3φ: trivial image726Q8:He3:5C2432,339

Non-split extensions G=N.Q with N=Q8⋊He3 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8⋊He3.1C2 = C32⋊CSU2(𝔽3)φ: C2/C1C2 ⊆ Out Q8⋊He314412-Q8:He3.1C2432,247
Q8⋊He3.2C2 = C322CSU2(𝔽3)φ: C2/C1C2 ⊆ Out Q8⋊He31446Q8:He3.2C2432,257