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Extensions 1→N→G→Q→1 with N=C4 and Q=C15⋊7D4

Direct product G=N×Q with N=C4 and Q=C15⋊7D4
dρLabelID
C4×C15⋊7D4240C4xC15:7D4480,893

Semidirect products G=N:Q with N=C4 and Q=C15⋊7D4
extensionφ:Q→Aut NdρLabelID
C4⋊1(C15⋊7D4) = C60⋊3D4φ: C15⋊7D4/Dic15 → C2 ⊆ Aut C4240C4:1(C15:7D4)480,905
C4⋊2(C15⋊7D4) = C60⋊2D4φ: C15⋊7D4/D30 → C2 ⊆ Aut C4240C4:2(C15:7D4)480,903
C4⋊3(C15⋊7D4) = C60⋊29D4φ: C15⋊7D4/C2×C30 → C2 ⊆ Aut C4240C4:3(C15:7D4)480,895

Non-split extensions G=N.Q with N=C4 and Q=C15⋊7D4
extensionφ:Q→Aut NdρLabelID
C4.1(C15⋊7D4) = C15⋊7D16φ: C15⋊7D4/Dic15 → C2 ⊆ Aut C42404+C4.1(C15:7D4)480,186
C4.2(C15⋊7D4) = D8.D15φ: C15⋊7D4/Dic15 → C2 ⊆ Aut C42404-C4.2(C15:7D4)480,187
C4.3(C15⋊7D4) = C8.6D30φ: C15⋊7D4/Dic15 → C2 ⊆ Aut C42404+C4.3(C15:7D4)480,188
C4.4(C15⋊7D4) = C15⋊7Q32φ: C15⋊7D4/Dic15 → C2 ⊆ Aut C44804-C4.4(C15:7D4)480,189
C4.5(C15⋊7D4) = C2×D4⋊D15φ: C15⋊7D4/Dic15 → C2 ⊆ Aut C4240C4.5(C15:7D4)480,896
C4.6(C15⋊7D4) = C2×D4.D15φ: C15⋊7D4/Dic15 → C2 ⊆ Aut C4240C4.6(C15:7D4)480,898
C4.7(C15⋊7D4) = C60.17D4φ: C15⋊7D4/Dic15 → C2 ⊆ Aut C4240C4.7(C15:7D4)480,901
C4.8(C15⋊7D4) = C2×Q8⋊2D15φ: C15⋊7D4/Dic15 → C2 ⊆ Aut C4240C4.8(C15:7D4)480,906
C4.9(C15⋊7D4) = C2×C15⋊7Q16φ: C15⋊7D4/Dic15 → C2 ⊆ Aut C4480C4.9(C15:7D4)480,908
C4.10(C15⋊7D4) = Dic15⋊4Q8φ: C15⋊7D4/Dic15 → C2 ⊆ Aut C4480C4.10(C15:7D4)480,909
C4.11(C15⋊7D4) = C60.23D4φ: C15⋊7D4/Dic15 → C2 ⊆ Aut C4240C4.11(C15:7D4)480,912
C4.12(C15⋊7D4) = D4⋊Dic15φ: C15⋊7D4/D30 → C2 ⊆ Aut C4240C4.12(C15:7D4)480,192
C4.13(C15⋊7D4) = C60.8D4φ: C15⋊7D4/D30 → C2 ⊆ Aut C41204C4.13(C15:7D4)480,193
C4.14(C15⋊7D4) = Q8⋊2Dic15φ: C15⋊7D4/D30 → C2 ⊆ Aut C4480C4.14(C15:7D4)480,195
C4.15(C15⋊7D4) = C60.10D4φ: C15⋊7D4/D30 → C2 ⊆ Aut C42404C4.15(C15:7D4)480,196
C4.16(C15⋊7D4) = D4.D30φ: C15⋊7D4/D30 → C2 ⊆ Aut C41204C4.16(C15:7D4)480,897
C4.17(C15⋊7D4) = Q8.11D30φ: C15⋊7D4/D30 → C2 ⊆ Aut C42404C4.17(C15:7D4)480,907
C4.18(C15⋊7D4) = D30⋊7Q8φ: C15⋊7D4/D30 → C2 ⊆ Aut C4240C4.18(C15:7D4)480,911
C4.19(C15⋊7D4) = Dic30⋊8C4φ: C15⋊7D4/C2×C30 → C2 ⊆ Aut C4480C4.19(C15:7D4)480,176
C4.20(C15⋊7D4) = D60⋊8C4φ: C15⋊7D4/C2×C30 → C2 ⊆ Aut C4240C4.20(C15:7D4)480,181
C4.21(C15⋊7D4) = M4(2)⋊D15φ: C15⋊7D4/C2×C30 → C2 ⊆ Aut C41204+C4.21(C15:7D4)480,183
C4.22(C15⋊7D4) = C4.D60φ: C15⋊7D4/C2×C30 → C2 ⊆ Aut C42404-C4.22(C15:7D4)480,184
C4.23(C15⋊7D4) = C60.205D4φ: C15⋊7D4/C2×C30 → C2 ⊆ Aut C4240C4.23(C15:7D4)480,889
C4.24(C15⋊7D4) = D4⋊D30φ: C15⋊7D4/C2×C30 → C2 ⊆ Aut C41204+C4.24(C15:7D4)480,914
C4.25(C15⋊7D4) = D4.9D30φ: C15⋊7D4/C2×C30 → C2 ⊆ Aut C42404-C4.25(C15:7D4)480,916
C4.26(C15⋊7D4) = C60.26Q8central extension (φ=1)480C4.26(C15:7D4)480,174
C4.27(C15⋊7D4) = D30⋊3C8central extension (φ=1)240C4.27(C15:7D4)480,180
C4.28(C15⋊7D4) = C60.210D4central extension (φ=1)2404C4.28(C15:7D4)480,182
C4.29(C15⋊7D4) = D60⋊10C4central extension (φ=1)1204C4.29(C15:7D4)480,185
C4.30(C15⋊7D4) = C60.212D4central extension (φ=1)240C4.30(C15:7D4)480,190
C4.31(C15⋊7D4) = Q8⋊3Dic15central extension (φ=1)1204C4.31(C15:7D4)480,197
C4.32(C15⋊7D4) = D4.8D30central extension (φ=1)2404C4.32(C15:7D4)480,915

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