# Extensions 1→N→G→Q→1 with N=C23 and Q=C2×C8

Direct product G=N×Q with N=C23 and Q=C2×C8
dρLabelID
C24×C8128C2^4xC8128,2301

Semidirect products G=N:Q with N=C23 and Q=C2×C8
extensionφ:Q→Aut NdρLabelID
C231(C2×C8) = C23.8M4(2)φ: C2×C8/C4C4 ⊆ Aut C2332C2^3:1(C2xC8)128,191
C232(C2×C8) = C23.22M4(2)φ: C2×C8/C4C22 ⊆ Aut C2364C2^3:2(C2xC8)128,601
C233(C2×C8) = C42.691C23φ: C2×C8/C4C22 ⊆ Aut C2332C2^3:3(C2xC8)128,1704
C234(C2×C8) = C2×C23⋊C8φ: C2×C8/C22C4 ⊆ Aut C2332C2^3:4(C2xC8)128,188
C235(C2×C8) = D4×C2×C8φ: C2×C8/C8C2 ⊆ Aut C2364C2^3:5(C2xC8)128,1658
C236(C2×C8) = C22×C22⋊C8φ: C2×C8/C2×C4C2 ⊆ Aut C2364C2^3:6(C2xC8)128,1608

Non-split extensions G=N.Q with N=C23 and Q=C2×C8
extensionφ:Q→Aut NdρLabelID
C23.1(C2×C8) = C23.2M4(2)φ: C2×C8/C4C4 ⊆ Aut C2332C2^3.1(C2xC8)128,58
C23.2(C2×C8) = C22⋊C4.C8φ: C2×C8/C4C4 ⊆ Aut C23324C2^3.2(C2xC8)128,60
C23.3(C2×C8) = C42.393D4φ: C2×C8/C4C4 ⊆ Aut C2332C2^3.3(C2xC8)128,192
C23.4(C2×C8) = M5(2).19C22φ: C2×C8/C4C4 ⊆ Aut C23324C2^3.4(C2xC8)128,847
C23.5(C2×C8) = C23.21C42φ: C2×C8/C4C22 ⊆ Aut C2332C2^3.5(C2xC8)128,14
C23.6(C2×C8) = M4(2).C8φ: C2×C8/C4C22 ⊆ Aut C23324C2^3.6(C2xC8)128,110
C23.7(C2×C8) = C22⋊C44C8φ: C2×C8/C4C22 ⊆ Aut C2364C2^3.7(C2xC8)128,655
C23.8(C2×C8) = C42.325D4φ: C2×C8/C4C22 ⊆ Aut C2364C2^3.8(C2xC8)128,686
C23.9(C2×C8) = (C2×D4).5C8φ: C2×C8/C4C22 ⊆ Aut C2364C2^3.9(C2xC8)128,845
C23.10(C2×C8) = C8.12M4(2)φ: C2×C8/C4C22 ⊆ Aut C2364C2^3.10(C2xC8)128,896
C23.11(C2×C8) = C166D4φ: C2×C8/C4C22 ⊆ Aut C2364C2^3.11(C2xC8)128,901
C23.12(C2×C8) = Q8○M5(2)φ: C2×C8/C4C22 ⊆ Aut C23324C2^3.12(C2xC8)128,2139
C23.13(C2×C8) = C24⋊C8φ: C2×C8/C22C4 ⊆ Aut C2316C2^3.13(C2xC8)128,48
C23.14(C2×C8) = C23.15M4(2)φ: C2×C8/C22C4 ⊆ Aut C2332C2^3.14(C2xC8)128,49
C23.15(C2×C8) = C24.C8φ: C2×C8/C22C4 ⊆ Aut C23164C2^3.15(C2xC8)128,52
C23.16(C2×C8) = C42.371D4φ: C2×C8/C22C4 ⊆ Aut C2332C2^3.16(C2xC8)128,190
C23.17(C2×C8) = C2×C23.C8φ: C2×C8/C22C4 ⊆ Aut C2332C2^3.17(C2xC8)128,846
C23.18(C2×C8) = C8×C22⋊C4φ: C2×C8/C8C2 ⊆ Aut C2364C2^3.18(C2xC8)128,483
C23.19(C2×C8) = C23.21M4(2)φ: C2×C8/C8C2 ⊆ Aut C2364C2^3.19(C2xC8)128,582
C23.20(C2×C8) = C162M5(2)φ: C2×C8/C8C2 ⊆ Aut C2364C2^3.20(C2xC8)128,840
C23.21(C2×C8) = C4⋊C4.7C8φ: C2×C8/C8C2 ⊆ Aut C2364C2^3.21(C2xC8)128,883
C23.22(C2×C8) = D4×C16φ: C2×C8/C8C2 ⊆ Aut C2364C2^3.22(C2xC8)128,899
C23.23(C2×C8) = C169D4φ: C2×C8/C8C2 ⊆ Aut C2364C2^3.23(C2xC8)128,900
C23.24(C2×C8) = C2×D4○C16φ: C2×C8/C8C2 ⊆ Aut C2364C2^3.24(C2xC8)128,2138
C23.25(C2×C8) = C23.19C42φ: C2×C8/C2×C4C2 ⊆ Aut C2364C2^3.25(C2xC8)128,12
C23.26(C2×C8) = C23⋊C16φ: C2×C8/C2×C4C2 ⊆ Aut C2332C2^3.26(C2xC8)128,46
C23.27(C2×C8) = C22.M5(2)φ: C2×C8/C2×C4C2 ⊆ Aut C2364C2^3.27(C2xC8)128,54
C23.28(C2×C8) = M5(2)⋊C4φ: C2×C8/C2×C4C2 ⊆ Aut C2364C2^3.28(C2xC8)128,109
C23.29(C2×C8) = C2×C22.M4(2)φ: C2×C8/C2×C4C2 ⊆ Aut C2364C2^3.29(C2xC8)128,189
C23.30(C2×C8) = C4×C22⋊C8φ: C2×C8/C2×C4C2 ⊆ Aut C2364C2^3.30(C2xC8)128,480
C23.31(C2×C8) = C243C8φ: C2×C8/C2×C4C2 ⊆ Aut C2332C2^3.31(C2xC8)128,511
C23.32(C2×C8) = C42.425D4φ: C2×C8/C2×C4C2 ⊆ Aut C2364C2^3.32(C2xC8)128,529
C23.33(C2×C8) = C23.32M4(2)φ: C2×C8/C2×C4C2 ⊆ Aut C2364C2^3.33(C2xC8)128,549
C23.34(C2×C8) = C4×M5(2)φ: C2×C8/C2×C4C2 ⊆ Aut C2364C2^3.34(C2xC8)128,839
C23.35(C2×C8) = C2×C22⋊C16φ: C2×C8/C2×C4C2 ⊆ Aut C2364C2^3.35(C2xC8)128,843
C23.36(C2×C8) = C24.5C8φ: C2×C8/C2×C4C2 ⊆ Aut C2332C2^3.36(C2xC8)128,844
C23.37(C2×C8) = C4⋊M5(2)φ: C2×C8/C2×C4C2 ⊆ Aut C2364C2^3.37(C2xC8)128,882
C23.38(C2×C8) = C42.13C8φ: C2×C8/C2×C4C2 ⊆ Aut C2364C2^3.38(C2xC8)128,894
C23.39(C2×C8) = C42.6C8φ: C2×C8/C2×C4C2 ⊆ Aut C2364C2^3.39(C2xC8)128,895
C23.40(C2×C8) = C2×C42.12C4φ: C2×C8/C2×C4C2 ⊆ Aut C2364C2^3.40(C2xC8)128,1649
C23.41(C2×C8) = C22×M5(2)φ: C2×C8/C2×C4C2 ⊆ Aut C2364C2^3.41(C2xC8)128,2137
C23.42(C2×C8) = C22.7M5(2)central extension (φ=1)128C2^3.42(C2xC8)128,106
C23.43(C2×C8) = C2×C22.7C42central extension (φ=1)128C2^3.43(C2xC8)128,459
C23.44(C2×C8) = C2×C165C4central extension (φ=1)128C2^3.44(C2xC8)128,838
C23.45(C2×C8) = C2×C4⋊C16central extension (φ=1)128C2^3.45(C2xC8)128,881
C23.46(C2×C8) = C22×C4⋊C8central extension (φ=1)128C2^3.46(C2xC8)128,1634

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