Extensions 1→N→G→Q→1 with N=D5×SL2(𝔽3) and Q=C2

Direct product G=N×Q with N=D5×SL2(𝔽3) and Q=C2
dρLabelID
C2×D5×SL2(𝔽3)80C2xD5xSL(2,3)480,1039

Semidirect products G=N:Q with N=D5×SL2(𝔽3) and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×SL2(𝔽3))⋊1C2 = D10.1S4φ: C2/C1C2 ⊆ Out D5×SL2(𝔽3)804-(D5xSL(2,3)):1C2480,972
(D5×SL2(𝔽3))⋊2C2 = D10.2S4φ: C2/C1C2 ⊆ Out D5×SL2(𝔽3)804(D5xSL(2,3)):2C2480,973
(D5×SL2(𝔽3))⋊3C2 = D5×GL2(𝔽3)φ: C2/C1C2 ⊆ Out D5×SL2(𝔽3)404(D5xSL(2,3)):3C2480,974
(D5×SL2(𝔽3))⋊4C2 = SL2(𝔽3).11D10φ: C2/C1C2 ⊆ Out D5×SL2(𝔽3)804(D5xSL(2,3)):4C2480,1040
(D5×SL2(𝔽3))⋊5C2 = D20.A4φ: C2/C1C2 ⊆ Out D5×SL2(𝔽3)804-(D5xSL(2,3)):5C2480,1043
(D5×SL2(𝔽3))⋊6C2 = D5×C4.A4φ: trivial image804(D5xSL(2,3)):6C2480,1042

Non-split extensions G=N.Q with N=D5×SL2(𝔽3) and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×SL2(𝔽3)).1C2 = D5×CSU2(𝔽3)φ: C2/C1C2 ⊆ Out D5×SL2(𝔽3)804-(D5xSL(2,3)).1C2480,971
(D5×SL2(𝔽3)).2C2 = D10.S4φ: C2/C1C2 ⊆ Out D5×SL2(𝔽3)408-(D5xSL(2,3)).2C2480,962
(D5×SL2(𝔽3)).3C2 = F5×SL2(𝔽3)φ: C2/C1C2 ⊆ Out D5×SL2(𝔽3)408-(D5xSL(2,3)).3C2480,965

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