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Extensions 1→N→G→Q→1 with N=C3 and Q=C22.50C24

Direct product G=N×Q with N=C3 and Q=C22.50C24
dρLabelID
C3×C22.50C2496C3xC2^2.50C2^4192,1445

Semidirect products G=N:Q with N=C3 and Q=C22.50C24
extensionφ:Q→Aut NdρLabelID
C3⋊1(C22.50C24) = C42.98D6φ: C22.50C24/C42⋊C2 → C2 ⊆ Aut C396C3:1(C2^2.50C2^4)192,1092
C3⋊2(C22.50C24) = C42.106D6φ: C22.50C24/C4×D4 → C2 ⊆ Aut C396C3:2(C2^2.50C2^4)192,1101
C3⋊3(C22.50C24) = C42.122D6φ: C22.50C24/C4×Q8 → C2 ⊆ Aut C396C3:3(C2^2.50C2^4)192,1127
C3⋊4(C22.50C24) = C42.135D6φ: C22.50C24/C4×Q8 → C2 ⊆ Aut C396C3:4(C2^2.50C2^4)192,1143
C3⋊5(C22.50C24) = C6.232- 1+4φ: C22.50C24/C22⋊Q8 → C2 ⊆ Aut C396C3:5(C2^2.50C2^4)192,1200
C3⋊6(C22.50C24) = C42.139D6φ: C22.50C24/C4.4D4 → C2 ⊆ Aut C396C3:6(C2^2.50C2^4)192,1230
C3⋊7(C22.50C24) = C42.160D6φ: C22.50C24/C42⋊2C2 → C2 ⊆ Aut C396C3:7(C2^2.50C2^4)192,1261
C3⋊8(C22.50C24) = C42.177D6φ: C22.50C24/C4⋊Q8 → C2 ⊆ Aut C396C3:8(C2^2.50C2^4)192,1291


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