Extensions 1→N→G→Q→1 with N=C5×SL2(𝔽3) and Q=C2

Direct product G=N×Q with N=C5×SL2(𝔽3) and Q=C2
dρLabelID
C10×SL2(𝔽3)80C10xSL(2,3)240,153

Semidirect products G=N:Q with N=C5×SL2(𝔽3) and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×SL2(𝔽3))⋊1C2 = Q8⋊D15φ: C2/C1C2 ⊆ Out C5×SL2(𝔽3)404+(C5xSL(2,3)):1C2240,106
(C5×SL2(𝔽3))⋊2C2 = Dic5.A4φ: C2/C1C2 ⊆ Out C5×SL2(𝔽3)804+(C5xSL(2,3)):2C2240,108
(C5×SL2(𝔽3))⋊3C2 = D5×SL2(𝔽3)φ: C2/C1C2 ⊆ Out C5×SL2(𝔽3)404-(C5xSL(2,3)):3C2240,109
(C5×SL2(𝔽3))⋊4C2 = C5×GL2(𝔽3)φ: C2/C1C2 ⊆ Out C5×SL2(𝔽3)402(C5xSL(2,3)):4C2240,103
(C5×SL2(𝔽3))⋊5C2 = C5×C4.A4φ: trivial image802(C5xSL(2,3)):5C2240,154

Non-split extensions G=N.Q with N=C5×SL2(𝔽3) and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×SL2(𝔽3)).1C2 = Q8.D15φ: C2/C1C2 ⊆ Out C5×SL2(𝔽3)804-(C5xSL(2,3)).1C2240,105
(C5×SL2(𝔽3)).2C2 = C5×CSU2(𝔽3)φ: C2/C1C2 ⊆ Out C5×SL2(𝔽3)802(C5xSL(2,3)).2C2240,102

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