Extensions 1→N→G→Q→1 with N=C5×CSU2(𝔽3) and Q=C2

Direct product G=N×Q with N=C5×CSU2(𝔽3) and Q=C2
dρLabelID
C10×CSU2(𝔽3)160C10xCSU(2,3)480,1016

Semidirect products G=N:Q with N=C5×CSU2(𝔽3) and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×CSU2(𝔽3))⋊1C2 = Dic5.7S4φ: C2/C1C2 ⊆ Out C5×CSU2(𝔽3)804+(C5xCSU(2,3)):1C2480,969
(C5×CSU2(𝔽3))⋊2C2 = D5×CSU2(𝔽3)φ: C2/C1C2 ⊆ Out C5×CSU2(𝔽3)804-(C5xCSU(2,3)):2C2480,971
(C5×CSU2(𝔽3))⋊3C2 = CSU2(𝔽3)⋊D5φ: C2/C1C2 ⊆ Out C5×CSU2(𝔽3)1604(C5xCSU(2,3)):3C2480,967
(C5×CSU2(𝔽3))⋊4C2 = D10.2S4φ: C2/C1C2 ⊆ Out C5×CSU2(𝔽3)804(C5xCSU(2,3)):4C2480,973
(C5×CSU2(𝔽3))⋊5C2 = C5×Q8.D6φ: C2/C1C2 ⊆ Out C5×CSU2(𝔽3)804(C5xCSU(2,3)):5C2480,1018
(C5×CSU2(𝔽3))⋊6C2 = C5×C4.S4φ: C2/C1C2 ⊆ Out C5×CSU2(𝔽3)1604(C5xCSU(2,3)):6C2480,1019
(C5×CSU2(𝔽3))⋊7C2 = C5×C4.6S4φ: trivial image802(C5xCSU(2,3)):7C2480,1020


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