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

Direct product G=N×Q with N=C4 and Q=C3×C5⋊D4
dρLabelID
C12×C5⋊D4240C12xC5:D4480,721

Semidirect products G=N:Q with N=C4 and Q=C3×C5⋊D4
extensionφ:Q→Aut NdρLabelID
C4⋊1(C3×C5⋊D4) = C3×C20⋊D4φ: C3×C5⋊D4/C3×Dic5 → C2 ⊆ Aut C4240C4:1(C3xC5:D4)480,733
C4⋊2(C3×C5⋊D4) = C3×C20⋊2D4φ: C3×C5⋊D4/C6×D5 → C2 ⊆ Aut C4240C4:2(C3xC5:D4)480,731
C4⋊3(C3×C5⋊D4) = C3×C20⋊7D4φ: C3×C5⋊D4/C2×C30 → C2 ⊆ Aut C4240C4:3(C3xC5:D4)480,723

Non-split extensions G=N.Q with N=C4 and Q=C3×C5⋊D4
extensionφ:Q→Aut NdρLabelID
C4.1(C3×C5⋊D4) = C3×C5⋊D16φ: C3×C5⋊D4/C3×Dic5 → C2 ⊆ Aut C42404C4.1(C3xC5:D4)480,104
C4.2(C3×C5⋊D4) = C3×D8.D5φ: C3×C5⋊D4/C3×Dic5 → C2 ⊆ Aut C42404C4.2(C3xC5:D4)480,105
C4.3(C3×C5⋊D4) = C3×C5⋊SD32φ: C3×C5⋊D4/C3×Dic5 → C2 ⊆ Aut C42404C4.3(C3xC5:D4)480,106
C4.4(C3×C5⋊D4) = C3×C5⋊Q32φ: C3×C5⋊D4/C3×Dic5 → C2 ⊆ Aut C44804C4.4(C3xC5:D4)480,107
C4.5(C3×C5⋊D4) = C6×D4⋊D5φ: C3×C5⋊D4/C3×Dic5 → C2 ⊆ Aut C4240C4.5(C3xC5:D4)480,724
C4.6(C3×C5⋊D4) = C6×D4.D5φ: C3×C5⋊D4/C3×Dic5 → C2 ⊆ Aut C4240C4.6(C3xC5:D4)480,726
C4.7(C3×C5⋊D4) = C3×C20.17D4φ: C3×C5⋊D4/C3×Dic5 → C2 ⊆ Aut C4240C4.7(C3xC5:D4)480,729
C4.8(C3×C5⋊D4) = C6×Q8⋊D5φ: C3×C5⋊D4/C3×Dic5 → C2 ⊆ Aut C4240C4.8(C3xC5:D4)480,734
C4.9(C3×C5⋊D4) = C6×C5⋊Q16φ: C3×C5⋊D4/C3×Dic5 → C2 ⊆ Aut C4480C4.9(C3xC5:D4)480,736
C4.10(C3×C5⋊D4) = C3×Dic5⋊Q8φ: C3×C5⋊D4/C3×Dic5 → C2 ⊆ Aut C4480C4.10(C3xC5:D4)480,737
C4.11(C3×C5⋊D4) = C3×C20.23D4φ: C3×C5⋊D4/C3×Dic5 → C2 ⊆ Aut C4240C4.11(C3xC5:D4)480,740
C4.12(C3×C5⋊D4) = C3×D4⋊Dic5φ: C3×C5⋊D4/C6×D5 → C2 ⊆ Aut C4240C4.12(C3xC5:D4)480,110
C4.13(C3×C5⋊D4) = C3×C20.D4φ: C3×C5⋊D4/C6×D5 → C2 ⊆ Aut C41204C4.13(C3xC5:D4)480,111
C4.14(C3×C5⋊D4) = C3×Q8⋊Dic5φ: C3×C5⋊D4/C6×D5 → C2 ⊆ Aut C4480C4.14(C3xC5:D4)480,113
C4.15(C3×C5⋊D4) = C3×C20.10D4φ: C3×C5⋊D4/C6×D5 → C2 ⊆ Aut C42404C4.15(C3xC5:D4)480,114
C4.16(C3×C5⋊D4) = C3×D4.D10φ: C3×C5⋊D4/C6×D5 → C2 ⊆ Aut C41204C4.16(C3xC5:D4)480,725
C4.17(C3×C5⋊D4) = C3×C20.C23φ: C3×C5⋊D4/C6×D5 → C2 ⊆ Aut C42404C4.17(C3xC5:D4)480,735
C4.18(C3×C5⋊D4) = C3×D10⋊3Q8φ: C3×C5⋊D4/C6×D5 → C2 ⊆ Aut C4240C4.18(C3xC5:D4)480,739
C4.19(C3×C5⋊D4) = C3×C20.44D4φ: C3×C5⋊D4/C2×C30 → C2 ⊆ Aut C4480C4.19(C3xC5:D4)480,94
C4.20(C3×C5⋊D4) = C3×D20⋊5C4φ: C3×C5⋊D4/C2×C30 → C2 ⊆ Aut C4240C4.20(C3xC5:D4)480,99
C4.21(C3×C5⋊D4) = C3×C20.46D4φ: C3×C5⋊D4/C2×C30 → C2 ⊆ Aut C41204C4.21(C3xC5:D4)480,101
C4.22(C3×C5⋊D4) = C3×C4.12D20φ: C3×C5⋊D4/C2×C30 → C2 ⊆ Aut C42404C4.22(C3xC5:D4)480,102
C4.23(C3×C5⋊D4) = C3×C20.48D4φ: C3×C5⋊D4/C2×C30 → C2 ⊆ Aut C4240C4.23(C3xC5:D4)480,717
C4.24(C3×C5⋊D4) = C3×D4⋊D10φ: C3×C5⋊D4/C2×C30 → C2 ⊆ Aut C41204C4.24(C3xC5:D4)480,742
C4.25(C3×C5⋊D4) = C3×D4.9D10φ: C3×C5⋊D4/C2×C30 → C2 ⊆ Aut C42404C4.25(C3xC5:D4)480,744
C4.26(C3×C5⋊D4) = C3×C20.8Q8central extension (φ=1)480C4.26(C3xC5:D4)480,92
C4.27(C3×C5⋊D4) = C3×D10⋊1C8central extension (φ=1)240C4.27(C3xC5:D4)480,98
C4.28(C3×C5⋊D4) = C3×C20.53D4central extension (φ=1)2404C4.28(C3xC5:D4)480,100
C4.29(C3×C5⋊D4) = C3×D20⋊7C4central extension (φ=1)1204C4.29(C3xC5:D4)480,103
C4.30(C3×C5⋊D4) = C3×C20.55D4central extension (φ=1)240C4.30(C3xC5:D4)480,108
C4.31(C3×C5⋊D4) = C3×D4⋊2Dic5central extension (φ=1)1204C4.31(C3xC5:D4)480,115
C4.32(C3×C5⋊D4) = C3×D4.8D10central extension (φ=1)2404C4.32(C3xC5:D4)480,743

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