Extensions 1→N→G→Q→1 with N=C8 and Q=C2×C4

Direct product G=N×Q with N=C8 and Q=C2×C4
dρLabelID
C2×C4×C864C2xC4xC864,83

Semidirect products G=N:Q with N=C8 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C81(C2×C4) = M4(2)⋊C4φ: C2×C4/C2C22 ⊆ Aut C832C8:1(C2xC4)64,109
C82(C2×C4) = SD16⋊C4φ: C2×C4/C2C22 ⊆ Aut C832C8:2(C2xC4)64,121
C83(C2×C4) = D8⋊C4φ: C2×C4/C2C22 ⊆ Aut C832C8:3(C2xC4)64,123
C84(C2×C4) = C4×D8φ: C2×C4/C4C2 ⊆ Aut C832C8:4(C2xC4)64,118
C85(C2×C4) = C4×SD16φ: C2×C4/C4C2 ⊆ Aut C832C8:5(C2xC4)64,119
C86(C2×C4) = C4×M4(2)φ: C2×C4/C4C2 ⊆ Aut C832C8:6(C2xC4)64,85
C87(C2×C4) = C2×C2.D8φ: C2×C4/C22C2 ⊆ Aut C864C8:7(C2xC4)64,107
C88(C2×C4) = C2×C4.Q8φ: C2×C4/C22C2 ⊆ Aut C864C8:8(C2xC4)64,106
C89(C2×C4) = C2×C8⋊C4φ: C2×C4/C22C2 ⊆ Aut C864C8:9(C2xC4)64,84

Non-split extensions G=N.Q with N=C8 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C8.1(C2×C4) = D82C4φ: C2×C4/C2C22 ⊆ Aut C8164C8.1(C2xC4)64,41
C8.2(C2×C4) = M5(2)⋊C2φ: C2×C4/C2C22 ⊆ Aut C8164+C8.2(C2xC4)64,42
C8.3(C2×C4) = C8.17D4φ: C2×C4/C2C22 ⊆ Aut C8324-C8.3(C2xC4)64,43
C8.4(C2×C4) = M4(2).C4φ: C2×C4/C2C22 ⊆ Aut C8164C8.4(C2xC4)64,111
C8.5(C2×C4) = Q16⋊C4φ: C2×C4/C2C22 ⊆ Aut C864C8.5(C2xC4)64,122
C8.6(C2×C4) = C8.26D4φ: C2×C4/C2C22 ⊆ Aut C8164C8.6(C2xC4)64,125
C8.7(C2×C4) = C2.D16φ: C2×C4/C4C2 ⊆ Aut C832C8.7(C2xC4)64,38
C8.8(C2×C4) = C2.Q32φ: C2×C4/C4C2 ⊆ Aut C864C8.8(C2xC4)64,39
C8.9(C2×C4) = D8.C4φ: C2×C4/C4C2 ⊆ Aut C8322C8.9(C2xC4)64,40
C8.10(C2×C4) = C4×Q16φ: C2×C4/C4C2 ⊆ Aut C864C8.10(C2xC4)64,120
C8.11(C2×C4) = C8○D8φ: C2×C4/C4C2 ⊆ Aut C8162C8.11(C2xC4)64,124
C8.12(C2×C4) = C82M4(2)φ: C2×C4/C4C2 ⊆ Aut C832C8.12(C2xC4)64,86
C8.13(C2×C4) = D4○C16φ: C2×C4/C4C2 ⊆ Aut C8322C8.13(C2xC4)64,185
C8.14(C2×C4) = C163C4φ: C2×C4/C22C2 ⊆ Aut C864C8.14(C2xC4)64,47
C8.15(C2×C4) = C164C4φ: C2×C4/C22C2 ⊆ Aut C864C8.15(C2xC4)64,48
C8.16(C2×C4) = C8.4Q8φ: C2×C4/C22C2 ⊆ Aut C8322C8.16(C2xC4)64,49
C8.17(C2×C4) = C23.25D4φ: C2×C4/C22C2 ⊆ Aut C832C8.17(C2xC4)64,108
C8.18(C2×C4) = C2×C8.C4φ: C2×C4/C22C2 ⊆ Aut C832C8.18(C2xC4)64,110
C8.19(C2×C4) = C8.Q8φ: C2×C4/C22C2 ⊆ Aut C8164C8.19(C2xC4)64,46
C8.20(C2×C4) = C16⋊C4φ: C2×C4/C22C2 ⊆ Aut C8164C8.20(C2xC4)64,28
C8.21(C2×C4) = C2×M5(2)φ: C2×C4/C22C2 ⊆ Aut C832C8.21(C2xC4)64,184
C8.22(C2×C4) = C165C4central extension (φ=1)64C8.22(C2xC4)64,27
C8.23(C2×C4) = M6(2)central extension (φ=1)322C8.23(C2xC4)64,51

׿
×
𝔽