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Extensions 1→N→G→Q→1 with N=C4 and Q=C5×C3⋊D4

Direct product G=N×Q with N=C4 and Q=C5×C3⋊D4
dρLabelID
C20×C3⋊D4240C20xC3:D4480,807

Semidirect products G=N:Q with N=C4 and Q=C5×C3⋊D4
extensionφ:Q→Aut NdρLabelID
C4⋊1(C5×C3⋊D4) = C5×C12⋊3D4φ: C5×C3⋊D4/C5×Dic3 → C2 ⊆ Aut C4240C4:1(C5xC3:D4)480,819
C4⋊2(C5×C3⋊D4) = C5×D6⋊3D4φ: C5×C3⋊D4/S3×C10 → C2 ⊆ Aut C4240C4:2(C5xC3:D4)480,817
C4⋊3(C5×C3⋊D4) = C5×C12⋊7D4φ: C5×C3⋊D4/C2×C30 → C2 ⊆ Aut C4240C4:3(C5xC3:D4)480,809

Non-split extensions G=N.Q with N=C4 and Q=C5×C3⋊D4
extensionφ:Q→Aut NdρLabelID
C4.1(C5×C3⋊D4) = C5×C3⋊D16φ: C5×C3⋊D4/C5×Dic3 → C2 ⊆ Aut C42404C4.1(C5xC3:D4)480,145
C4.2(C5×C3⋊D4) = C5×D8.S3φ: C5×C3⋊D4/C5×Dic3 → C2 ⊆ Aut C42404C4.2(C5xC3:D4)480,146
C4.3(C5×C3⋊D4) = C5×C8.6D6φ: C5×C3⋊D4/C5×Dic3 → C2 ⊆ Aut C42404C4.3(C5xC3:D4)480,147
C4.4(C5×C3⋊D4) = C5×C3⋊Q32φ: C5×C3⋊D4/C5×Dic3 → C2 ⊆ Aut C44804C4.4(C5xC3:D4)480,148
C4.5(C5×C3⋊D4) = C10×D4⋊S3φ: C5×C3⋊D4/C5×Dic3 → C2 ⊆ Aut C4240C4.5(C5xC3:D4)480,810
C4.6(C5×C3⋊D4) = C10×D4.S3φ: C5×C3⋊D4/C5×Dic3 → C2 ⊆ Aut C4240C4.6(C5xC3:D4)480,812
C4.7(C5×C3⋊D4) = C5×C23.12D6φ: C5×C3⋊D4/C5×Dic3 → C2 ⊆ Aut C4240C4.7(C5xC3:D4)480,815
C4.8(C5×C3⋊D4) = C10×Q8⋊2S3φ: C5×C3⋊D4/C5×Dic3 → C2 ⊆ Aut C4240C4.8(C5xC3:D4)480,820
C4.9(C5×C3⋊D4) = C10×C3⋊Q16φ: C5×C3⋊D4/C5×Dic3 → C2 ⊆ Aut C4480C4.9(C5xC3:D4)480,822
C4.10(C5×C3⋊D4) = C5×Dic3⋊Q8φ: C5×C3⋊D4/C5×Dic3 → C2 ⊆ Aut C4480C4.10(C5xC3:D4)480,823
C4.11(C5×C3⋊D4) = C5×C12.23D4φ: C5×C3⋊D4/C5×Dic3 → C2 ⊆ Aut C4240C4.11(C5xC3:D4)480,826
C4.12(C5×C3⋊D4) = C5×D4⋊Dic3φ: C5×C3⋊D4/S3×C10 → C2 ⊆ Aut C4240C4.12(C5xC3:D4)480,151
C4.13(C5×C3⋊D4) = C5×C12.D4φ: C5×C3⋊D4/S3×C10 → C2 ⊆ Aut C41204C4.13(C5xC3:D4)480,152
C4.14(C5×C3⋊D4) = C5×Q8⋊2Dic3φ: C5×C3⋊D4/S3×C10 → C2 ⊆ Aut C4480C4.14(C5xC3:D4)480,154
C4.15(C5×C3⋊D4) = C5×C12.10D4φ: C5×C3⋊D4/S3×C10 → C2 ⊆ Aut C42404C4.15(C5xC3:D4)480,155
C4.16(C5×C3⋊D4) = C5×D12⋊6C22φ: C5×C3⋊D4/S3×C10 → C2 ⊆ Aut C41204C4.16(C5xC3:D4)480,811
C4.17(C5×C3⋊D4) = C5×Q8.11D6φ: C5×C3⋊D4/S3×C10 → C2 ⊆ Aut C42404C4.17(C5xC3:D4)480,821
C4.18(C5×C3⋊D4) = C5×D6⋊3Q8φ: C5×C3⋊D4/S3×C10 → C2 ⊆ Aut C4240C4.18(C5xC3:D4)480,825
C4.19(C5×C3⋊D4) = C5×C2.Dic12φ: C5×C3⋊D4/C2×C30 → C2 ⊆ Aut C4480C4.19(C5xC3:D4)480,135
C4.20(C5×C3⋊D4) = C5×C2.D24φ: C5×C3⋊D4/C2×C30 → C2 ⊆ Aut C4240C4.20(C5xC3:D4)480,140
C4.21(C5×C3⋊D4) = C5×C12.46D4φ: C5×C3⋊D4/C2×C30 → C2 ⊆ Aut C41204C4.21(C5xC3:D4)480,142
C4.22(C5×C3⋊D4) = C5×C12.47D4φ: C5×C3⋊D4/C2×C30 → C2 ⊆ Aut C42404C4.22(C5xC3:D4)480,143
C4.23(C5×C3⋊D4) = C5×C12.48D4φ: C5×C3⋊D4/C2×C30 → C2 ⊆ Aut C4240C4.23(C5xC3:D4)480,803
C4.24(C5×C3⋊D4) = C5×D4⋊D6φ: C5×C3⋊D4/C2×C30 → C2 ⊆ Aut C41204C4.24(C5xC3:D4)480,828
C4.25(C5×C3⋊D4) = C5×Q8.14D6φ: C5×C3⋊D4/C2×C30 → C2 ⊆ Aut C42404C4.25(C5xC3:D4)480,830
C4.26(C5×C3⋊D4) = C5×Dic3⋊C8central extension (φ=1)480C4.26(C5xC3:D4)480,133
C4.27(C5×C3⋊D4) = C5×D6⋊C8central extension (φ=1)240C4.27(C5xC3:D4)480,139
C4.28(C5×C3⋊D4) = C5×C12.53D4central extension (φ=1)2404C4.28(C5xC3:D4)480,141
C4.29(C5×C3⋊D4) = C5×D12⋊C4central extension (φ=1)1204C4.29(C5xC3:D4)480,144
C4.30(C5×C3⋊D4) = C5×C12.55D4central extension (φ=1)240C4.30(C5xC3:D4)480,149
C4.31(C5×C3⋊D4) = C5×Q8⋊3Dic3central extension (φ=1)1204C4.31(C5xC3:D4)480,156
C4.32(C5×C3⋊D4) = C5×Q8.13D6central extension (φ=1)2404C4.32(C5xC3:D4)480,829

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