Extensions 1→N→G→Q→1 with N=C2×SL2(𝔽3) and Q=C10

Direct product G=N×Q with N=C2×SL2(𝔽3) and Q=C10
dρLabelID
C2×C10×SL2(𝔽3)160C2xC10xSL(2,3)480,1128

Semidirect products G=N:Q with N=C2×SL2(𝔽3) and Q=C10
extensionφ:Q→Out NdρLabelID
(C2×SL2(𝔽3))⋊1C10 = C5×D4.A4φ: C10/C5C2 ⊆ Out C2×SL2(𝔽3)804(C2xSL(2,3)):1C10480,1132
(C2×SL2(𝔽3))⋊2C10 = C10×GL2(𝔽3)φ: C10/C5C2 ⊆ Out C2×SL2(𝔽3)80(C2xSL(2,3)):2C10480,1017
(C2×SL2(𝔽3))⋊3C10 = C5×Q8.D6φ: C10/C5C2 ⊆ Out C2×SL2(𝔽3)804(C2xSL(2,3)):3C10480,1018
(C2×SL2(𝔽3))⋊4C10 = C10×C4.A4φ: trivial image160(C2xSL(2,3)):4C10480,1130

Non-split extensions G=N.Q with N=C2×SL2(𝔽3) and Q=C10
extensionφ:Q→Out NdρLabelID
(C2×SL2(𝔽3)).1C10 = C5×Q8⋊Dic3φ: C10/C5C2 ⊆ Out C2×SL2(𝔽3)160(C2xSL(2,3)).1C10480,256
(C2×SL2(𝔽3)).2C10 = C10×CSU2(𝔽3)φ: C10/C5C2 ⊆ Out C2×SL2(𝔽3)160(C2xSL(2,3)).2C10480,1016
(C2×SL2(𝔽3)).3C10 = C20×SL2(𝔽3)φ: trivial image160(C2xSL(2,3)).3C10480,655

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