Extensions 1→N→G→Q→1 with N=C8 and Q=C4×D7

Direct product G=N×Q with N=C8 and Q=C4×D7
dρLabelID
D7×C4×C8224D7xC4xC8448,218

Semidirect products G=N:Q with N=C8 and Q=C4×D7
extensionφ:Q→Aut NdρLabelID
C81(C4×D7) = C42.16D14φ: C4×D7/C14C22 ⊆ Aut C8224C8:1(C4xD7)448,244
C82(C4×D7) = D56⋊C4φ: C4×D7/C14C22 ⊆ Aut C8224C8:2(C4xD7)448,245
C83(C4×D7) = C8⋊(C4×D7)φ: C4×D7/C14C22 ⊆ Aut C8224C8:3(C4xD7)448,395
C84(C4×D7) = D569C4φ: C4×D7/C14C22 ⊆ Aut C8224C8:4(C4xD7)448,403
C85(C4×D7) = C56⋊(C2×C4)φ: C4×D7/C14C22 ⊆ Aut C8224C8:5(C4xD7)448,415
C86(C4×D7) = C56⋊C2⋊C4φ: C4×D7/C14C22 ⊆ Aut C8224C8:6(C4xD7)448,423
C87(C4×D7) = Dic75D8φ: C4×D7/Dic7C2 ⊆ Aut C8224C8:7(C4xD7)448,406
C88(C4×D7) = Dic78SD16φ: C4×D7/Dic7C2 ⊆ Aut C8224C8:8(C4xD7)448,386
C89(C4×D7) = Dic7.C42φ: C4×D7/Dic7C2 ⊆ Aut C8224C8:9(C4xD7)448,241
C810(C4×D7) = C4×D56φ: C4×D7/C28C2 ⊆ Aut C8224C8:10(C4xD7)448,226
C811(C4×D7) = C4×C56⋊C2φ: C4×D7/C28C2 ⊆ Aut C8224C8:11(C4xD7)448,225
C812(C4×D7) = C4×C8⋊D7φ: C4×D7/C28C2 ⊆ Aut C8224C8:12(C4xD7)448,221
C813(C4×D7) = D7×C2.D8φ: C4×D7/D14C2 ⊆ Aut C8224C8:13(C4xD7)448,413
C814(C4×D7) = D7×C4.Q8φ: C4×D7/D14C2 ⊆ Aut C8224C8:14(C4xD7)448,393
C815(C4×D7) = D7×C8⋊C4φ: C4×D7/D14C2 ⊆ Aut C8224C8:15(C4xD7)448,238

Non-split extensions G=N.Q with N=C8 and Q=C4×D7
extensionφ:Q→Aut NdρLabelID
C8.1(C4×D7) = D568C4φ: C4×D7/C14C22 ⊆ Aut C81124C8.1(C4xD7)448,45
C8.2(C4×D7) = D56.C4φ: C4×D7/C14C22 ⊆ Aut C81124+C8.2(C4xD7)448,52
C8.3(C4×D7) = C56.8D4φ: C4×D7/C14C22 ⊆ Aut C82244-C8.3(C4xD7)448,53
C8.4(C4×D7) = C28.3D8φ: C4×D7/C14C22 ⊆ Aut C81124+C8.4(C4xD7)448,73
C8.5(C4×D7) = C28.4D8φ: C4×D7/C14C22 ⊆ Aut C82244-C8.5(C4xD7)448,74
C8.6(C4×D7) = D562C4φ: C4×D7/C14C22 ⊆ Aut C81124C8.6(C4xD7)448,75
C8.7(C4×D7) = Dic28⋊C4φ: C4×D7/C14C22 ⊆ Aut C8448C8.7(C4xD7)448,250
C8.8(C4×D7) = D564C4φ: C4×D7/C14C22 ⊆ Aut C81124C8.8(C4xD7)448,251
C8.9(C4×D7) = Dic289C4φ: C4×D7/C14C22 ⊆ Aut C8448C8.9(C4xD7)448,387
C8.10(C4×D7) = M4(2).25D14φ: C4×D7/C14C22 ⊆ Aut C81124C8.10(C4xD7)448,427
C8.11(C4×D7) = D5610C4φ: C4×D7/C14C22 ⊆ Aut C81124C8.11(C4xD7)448,428
C8.12(C4×D7) = C14.D16φ: C4×D7/Dic7C2 ⊆ Aut C8224C8.12(C4xD7)448,48
C8.13(C4×D7) = C56.6D4φ: C4×D7/Dic7C2 ⊆ Aut C8448C8.13(C4xD7)448,49
C8.14(C4×D7) = Dic28.C4φ: C4×D7/Dic7C2 ⊆ Aut C82244C8.14(C4xD7)448,54
C8.15(C4×D7) = Dic286C4φ: C4×D7/Dic7C2 ⊆ Aut C8448C8.15(C4xD7)448,407
C8.16(C4×D7) = D567C4φ: C4×D7/Dic7C2 ⊆ Aut C81124C8.16(C4xD7)448,429
C8.17(C4×D7) = C16.12D14φ: C4×D7/Dic7C2 ⊆ Aut C82244C8.17(C4xD7)448,441
C8.18(C4×D7) = C56.78D4φ: C4×D7/C28C2 ⊆ Aut C8448C8.18(C4xD7)448,60
C8.19(C4×D7) = C2.D112φ: C4×D7/C28C2 ⊆ Aut C8224C8.19(C4xD7)448,66
C8.20(C4×D7) = D56.1C4φ: C4×D7/C28C2 ⊆ Aut C82242C8.20(C4xD7)448,67
C8.21(C4×D7) = C4×Dic28φ: C4×D7/C28C2 ⊆ Aut C8448C8.21(C4xD7)448,232
C8.22(C4×D7) = D5611C4φ: C4×D7/C28C2 ⊆ Aut C81122C8.22(C4xD7)448,234
C8.23(C4×D7) = D28.4C8φ: C4×D7/C28C2 ⊆ Aut C82242C8.23(C4xD7)448,435
C8.24(C4×D7) = C8.4Dic14φ: C4×D7/D14C2 ⊆ Aut C8448C8.24(C4xD7)448,46
C8.25(C4×D7) = C8.5Dic14φ: C4×D7/D14C2 ⊆ Aut C8448C8.25(C4xD7)448,47
C8.26(C4×D7) = C8.7Dic14φ: C4×D7/D14C2 ⊆ Aut C82244C8.26(C4xD7)448,50
C8.27(C4×D7) = C8.27(C4×D7)φ: C4×D7/D14C2 ⊆ Aut C8224C8.27(C4xD7)448,414
C8.28(C4×D7) = C56.Q8φ: C4×D7/D14C2 ⊆ Aut C81124C8.28(C4xD7)448,44
C8.29(C4×D7) = C8.Dic14φ: C4×D7/D14C2 ⊆ Aut C81124C8.29(C4xD7)448,51
C8.30(C4×D7) = (C8×D7)⋊C4φ: C4×D7/D14C2 ⊆ Aut C8224C8.30(C4xD7)448,394
C8.31(C4×D7) = D7×C8.C4φ: C4×D7/D14C2 ⊆ Aut C81124C8.31(C4xD7)448,426
C8.32(C4×D7) = C28.15C42φ: C4×D7/D14C2 ⊆ Aut C81124C8.32(C4xD7)448,23
C8.33(C4×D7) = C112⋊C4φ: C4×D7/D14C2 ⊆ Aut C81124C8.33(C4xD7)448,69
C8.34(C4×D7) = D14.4C42φ: C4×D7/D14C2 ⊆ Aut C8224C8.34(C4xD7)448,242
C8.35(C4×D7) = D7×M5(2)φ: C4×D7/D14C2 ⊆ Aut C81124C8.35(C4xD7)448,440
C8.36(C4×D7) = D7×C32central extension (φ=1)2242C8.36(C4xD7)448,3
C8.37(C4×D7) = C32⋊D7central extension (φ=1)2242C8.37(C4xD7)448,4
C8.38(C4×D7) = C4×C7⋊C16central extension (φ=1)448C8.38(C4xD7)448,17
C8.39(C4×D7) = C56.C8central extension (φ=1)448C8.39(C4xD7)448,18
C8.40(C4×D7) = C16×Dic7central extension (φ=1)448C8.40(C4xD7)448,57
C8.41(C4×D7) = C1129C4central extension (φ=1)448C8.41(C4xD7)448,59
C8.42(C4×D7) = D14.C42central extension (φ=1)224C8.42(C4xD7)448,223
C8.43(C4×D7) = D7×C2×C16central extension (φ=1)224C8.43(C4xD7)448,433
C8.44(C4×D7) = C2×C16⋊D7central extension (φ=1)224C8.44(C4xD7)448,434

׿
×
𝔽