Extensions 1→N→G→Q→1 with N=C5⋊D4 and Q=D6

Direct product G=N×Q with N=C5⋊D4 and Q=D6
dρLabelID
C2×S3×C5⋊D4120C2xS3xC5:D4480,1123

Semidirect products G=N:Q with N=C5⋊D4 and Q=D6
extensionφ:Q→Out NdρLabelID
C5⋊D41D6 = S3×D4×D5φ: D6/S3C2 ⊆ Out C5⋊D4608+C5:D4:1D6480,1097
C5⋊D42D6 = D5×D42S3φ: D6/S3C2 ⊆ Out C5⋊D41208-C5:D4:2D6480,1098
C5⋊D43D6 = S3×D42D5φ: D6/S3C2 ⊆ Out C5⋊D41208-C5:D4:3D6480,1099
C5⋊D44D6 = D30.C23φ: D6/S3C2 ⊆ Out C5⋊D41208+C5:D4:4D6480,1100
C5⋊D45D6 = D2013D6φ: D6/S3C2 ⊆ Out C5⋊D41208-C5:D4:5D6480,1101
C5⋊D46D6 = D2014D6φ: D6/S3C2 ⊆ Out C5⋊D41208+C5:D4:6D6480,1102
C5⋊D47D6 = D1214D10φ: D6/S3C2 ⊆ Out C5⋊D41208+C5:D4:7D6480,1103
C5⋊D48D6 = D2024D6φ: D6/C6C2 ⊆ Out C5⋊D41204C5:D4:8D6480,1092
C5⋊D49D6 = D2029D6φ: D6/C6C2 ⊆ Out C5⋊D41204+C5:D4:9D6480,1095
C5⋊D410D6 = C2×C30.C23φ: D6/C6C2 ⊆ Out C5⋊D4240C5:D4:10D6480,1114
C5⋊D411D6 = C2×D10⋊D6φ: D6/C6C2 ⊆ Out C5⋊D4120C5:D4:11D6480,1124
C5⋊D412D6 = C15⋊2+ 1+4φ: D6/C6C2 ⊆ Out C5⋊D41204C5:D4:12D6480,1125
C5⋊D413D6 = S3×C4○D20φ: trivial image1204C5:D4:13D6480,1091
C5⋊D414D6 = D2026D6φ: trivial image1204C5:D4:14D6480,1094
C5⋊D415D6 = C2×Dic5.D6φ: trivial image240C5:D4:15D6480,1113

Non-split extensions G=N.Q with N=C5⋊D4 and Q=D6
extensionφ:Q→Out NdρLabelID
C5⋊D4.1D6 = C15⋊2- 1+4φ: D6/S3C2 ⊆ Out C5⋊D42408-C5:D4.1D6480,1096
C5⋊D4.2D6 = D20.39D6φ: D6/C6C2 ⊆ Out C5⋊D42404-C5:D4.2D6480,1077
C5⋊D4.3D6 = D20.38D6φ: trivial image2404C5:D4.3D6480,1076

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