# Extensions 1→N→G→Q→1 with N=C32 and Q=C2×C24

Direct product G=N×Q with N=C32 and Q=C2×C24
dρLabelID
C3×C6×C24432C3xC6xC24432,515

Semidirect products G=N:Q with N=C32 and Q=C2×C24
extensionφ:Q→Aut NdρLabelID
C32⋊(C2×C24) = C6×F9φ: C2×C24/C6C8 ⊆ Aut C32488C3^2:(C2xC24)432,751
C322(C2×C24) = C8×C32⋊C6φ: C2×C24/C8C6 ⊆ Aut C32726C3^2:2(C2xC24)432,115
C323(C2×C24) = C2×He33C8φ: C2×C24/C2×C4C6 ⊆ Aut C32144C3^2:3(C2xC24)432,136
C324(C2×C24) = C3×C3⋊S33C8φ: C2×C24/C12C4 ⊆ Aut C32484C3^2:4(C2xC24)432,628
C325(C2×C24) = C3×S3×C3⋊C8φ: C2×C24/C12C22 ⊆ Aut C32484C3^2:5(C2xC24)432,414
C326(C2×C24) = C3×C12.29D6φ: C2×C24/C12C22 ⊆ Aut C32484C3^2:6(C2xC24)432,415
C327(C2×C24) = C6×C322C8φ: C2×C24/C2×C6C4 ⊆ Aut C3248C3^2:7(C2xC24)432,632
C328(C2×C24) = C2×C8×He3φ: C2×C24/C2×C8C3 ⊆ Aut C32144C3^2:8(C2xC24)432,210
C329(C2×C24) = S3×C3×C24φ: C2×C24/C24C2 ⊆ Aut C32144C3^2:9(C2xC24)432,464
C3210(C2×C24) = C3⋊S3×C24φ: C2×C24/C24C2 ⊆ Aut C32144C3^2:10(C2xC24)432,480
C3211(C2×C24) = C3×C6×C3⋊C8φ: C2×C24/C2×C12C2 ⊆ Aut C32144C3^2:11(C2xC24)432,469
C3212(C2×C24) = C6×C324C8φ: C2×C24/C2×C12C2 ⊆ Aut C32144C3^2:12(C2xC24)432,485

Non-split extensions G=N.Q with N=C32 and Q=C2×C24
extensionφ:Q→Aut NdρLabelID
C32.(C2×C24) = C2×C8×3- 1+2φ: C2×C24/C2×C8C3 ⊆ Aut C32144C3^2.(C2xC24)432,211
C32.2(C2×C24) = S3×C72φ: C2×C24/C24C2 ⊆ Aut C321442C3^2.2(C2xC24)432,109
C32.3(C2×C24) = C18×C3⋊C8φ: C2×C24/C2×C12C2 ⊆ Aut C32144C3^2.3(C2xC24)432,126

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