# Extensions 1→N→G→Q→1 with N=C23.D5 and Q=C6

Direct product G=N×Q with N=C23.D5 and Q=C6
dρLabelID
C6×C23.D5240C6xC2^3.D5480,745

Semidirect products G=N:Q with N=C23.D5 and Q=C6
extensionφ:Q→Out NdρLabelID
C23.D51C6 = C3×C23.1D10φ: C6/C3C2 ⊆ Out C23.D51204C2^3.D5:1C6480,84
C23.D52C6 = C3×C23⋊Dic5φ: C6/C3C2 ⊆ Out C23.D51204C2^3.D5:2C6480,112
C23.D53C6 = C3×D5×C22⋊C4φ: C6/C3C2 ⊆ Out C23.D5120C2^3.D5:3C6480,673
C23.D54C6 = C3×D10.12D4φ: C6/C3C2 ⊆ Out C23.D5240C2^3.D5:4C6480,676
C23.D55C6 = C3×Dic5.5D4φ: C6/C3C2 ⊆ Out C23.D5240C2^3.D5:5C6480,678
C23.D56C6 = C3×C23.23D10φ: C6/C3C2 ⊆ Out C23.D5240C2^3.D5:6C6480,722
C23.D57C6 = C3×D4×Dic5φ: C6/C3C2 ⊆ Out C23.D5240C2^3.D5:7C6480,727
C23.D58C6 = C3×C23.18D10φ: C6/C3C2 ⊆ Out C23.D5240C2^3.D5:8C6480,728
C23.D59C6 = C3×C20.17D4φ: C6/C3C2 ⊆ Out C23.D5240C2^3.D5:9C6480,729
C23.D510C6 = C3×C23⋊D10φ: C6/C3C2 ⊆ Out C23.D5120C2^3.D5:10C6480,730
C23.D511C6 = C3×C202D4φ: C6/C3C2 ⊆ Out C23.D5240C2^3.D5:11C6480,731
C23.D512C6 = C3×Dic5⋊D4φ: C6/C3C2 ⊆ Out C23.D5240C2^3.D5:12C6480,732
C23.D513C6 = C3×C242D5φ: C6/C3C2 ⊆ Out C23.D5120C2^3.D5:13C6480,746
C23.D514C6 = C12×C5⋊D4φ: trivial image240C2^3.D5:14C6480,721

Non-split extensions G=N.Q with N=C23.D5 and Q=C6
extensionφ:Q→Out NdρLabelID
C23.D5.1C6 = C3×C23.11D10φ: C6/C3C2 ⊆ Out C23.D5240C2^3.D5.1C6480,670
C23.D5.2C6 = C3×Dic5.14D4φ: C6/C3C2 ⊆ Out C23.D5240C2^3.D5.2C6480,671
C23.D5.3C6 = C3×C23.D10φ: C6/C3C2 ⊆ Out C23.D5240C2^3.D5.3C6480,672
C23.D5.4C6 = C3×C20.48D4φ: C6/C3C2 ⊆ Out C23.D5240C2^3.D5.4C6480,717
C23.D5.5C6 = C3×C23.21D10φ: trivial image240C2^3.D5.5C6480,719

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