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Extensions 1→N→G→Q→1 with N=C42 and Q=C2×C4

Direct product G=N×Q with N=C42 and Q=C2×C4
dρLabelID
C22×C84336C2^2xC84336,204

Semidirect products G=N:Q with N=C42 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C42⋊1(C2×C4) = C2×Dic3×D7φ: C2×C4/C2 → C22 ⊆ Aut C42168C42:1(C2xC4)336,151
C42⋊2(C2×C4) = C2×S3×Dic7φ: C2×C4/C2 → C22 ⊆ Aut C42168C42:2(C2xC4)336,154
C42⋊3(C2×C4) = C2×D21⋊C4φ: C2×C4/C2 → C22 ⊆ Aut C42168C42:3(C2xC4)336,156
C42⋊4(C2×C4) = C2×C4×D21φ: C2×C4/C4 → C2 ⊆ Aut C42168C42:4(C2xC4)336,195
C42⋊5(C2×C4) = D7×C2×C12φ: C2×C4/C4 → C2 ⊆ Aut C42168C42:5(C2xC4)336,175
C42⋊6(C2×C4) = S3×C2×C28φ: C2×C4/C4 → C2 ⊆ Aut C42168C42:6(C2xC4)336,185
C42⋊7(C2×C4) = C22×Dic21φ: C2×C4/C22 → C2 ⊆ Aut C42336C42:7(C2xC4)336,202
C42⋊8(C2×C4) = C2×C6×Dic7φ: C2×C4/C22 → C2 ⊆ Aut C42336C42:8(C2xC4)336,182
C42⋊9(C2×C4) = Dic3×C2×C14φ: C2×C4/C22 → C2 ⊆ Aut C42336C42:9(C2xC4)336,192

Non-split extensions G=N.Q with N=C42 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C42.1(C2×C4) = D7×C3⋊C8φ: C2×C4/C2 → C22 ⊆ Aut C421684C42.1(C2xC4)336,23
C42.2(C2×C4) = S3×C7⋊C8φ: C2×C4/C2 → C22 ⊆ Aut C421684C42.2(C2xC4)336,24
C42.3(C2×C4) = D21⋊C8φ: C2×C4/C2 → C22 ⊆ Aut C421684C42.3(C2xC4)336,25
C42.4(C2×C4) = C28.32D6φ: C2×C4/C2 → C22 ⊆ Aut C421684C42.4(C2xC4)336,26
C42.5(C2×C4) = D6.Dic7φ: C2×C4/C2 → C22 ⊆ Aut C421684C42.5(C2xC4)336,27
C42.6(C2×C4) = D42.C4φ: C2×C4/C2 → C22 ⊆ Aut C421684C42.6(C2xC4)336,28
C42.7(C2×C4) = Dic3×Dic7φ: C2×C4/C2 → C22 ⊆ Aut C42336C42.7(C2xC4)336,41
C42.8(C2×C4) = D14⋊Dic3φ: C2×C4/C2 → C22 ⊆ Aut C42168C42.8(C2xC4)336,42
C42.9(C2×C4) = D6⋊Dic7φ: C2×C4/C2 → C22 ⊆ Aut C42168C42.9(C2xC4)336,43
C42.10(C2×C4) = D42⋊C4φ: C2×C4/C2 → C22 ⊆ Aut C42168C42.10(C2xC4)336,44
C42.11(C2×C4) = C42.Q8φ: C2×C4/C2 → C22 ⊆ Aut C42336C42.11(C2xC4)336,45
C42.12(C2×C4) = Dic21⋊C4φ: C2×C4/C2 → C22 ⊆ Aut C42336C42.12(C2xC4)336,46
C42.13(C2×C4) = C14.Dic6φ: C2×C4/C2 → C22 ⊆ Aut C42336C42.13(C2xC4)336,47
C42.14(C2×C4) = C8×D21φ: C2×C4/C4 → C2 ⊆ Aut C421682C42.14(C2xC4)336,90
C42.15(C2×C4) = C56⋊S3φ: C2×C4/C4 → C2 ⊆ Aut C421682C42.15(C2xC4)336,91
C42.16(C2×C4) = C4×Dic21φ: C2×C4/C4 → C2 ⊆ Aut C42336C42.16(C2xC4)336,97
C42.17(C2×C4) = C42.4Q8φ: C2×C4/C4 → C2 ⊆ Aut C42336C42.17(C2xC4)336,98
C42.18(C2×C4) = C2.D84φ: C2×C4/C4 → C2 ⊆ Aut C42168C42.18(C2xC4)336,100
C42.19(C2×C4) = D7×C24φ: C2×C4/C4 → C2 ⊆ Aut C421682C42.19(C2xC4)336,58
C42.20(C2×C4) = C3×C8⋊D7φ: C2×C4/C4 → C2 ⊆ Aut C421682C42.20(C2xC4)336,59
C42.21(C2×C4) = C12×Dic7φ: C2×C4/C4 → C2 ⊆ Aut C42336C42.21(C2xC4)336,65
C42.22(C2×C4) = C3×Dic7⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C42336C42.22(C2xC4)336,66
C42.23(C2×C4) = C3×D14⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C42168C42.23(C2xC4)336,68
C42.24(C2×C4) = S3×C56φ: C2×C4/C4 → C2 ⊆ Aut C421682C42.24(C2xC4)336,74
C42.25(C2×C4) = C7×C8⋊S3φ: C2×C4/C4 → C2 ⊆ Aut C421682C42.25(C2xC4)336,75
C42.26(C2×C4) = Dic3×C28φ: C2×C4/C4 → C2 ⊆ Aut C42336C42.26(C2xC4)336,81
C42.27(C2×C4) = C7×Dic3⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C42336C42.27(C2xC4)336,82
C42.28(C2×C4) = C7×D6⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C42168C42.28(C2xC4)336,84
C42.29(C2×C4) = C2×C21⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C42336C42.29(C2xC4)336,95
C42.30(C2×C4) = C84.C4φ: C2×C4/C22 → C2 ⊆ Aut C421682C42.30(C2xC4)336,96
C42.31(C2×C4) = C84⋊C4φ: C2×C4/C22 → C2 ⊆ Aut C42336C42.31(C2xC4)336,99
C42.32(C2×C4) = C42.38D4φ: C2×C4/C22 → C2 ⊆ Aut C42168C42.32(C2xC4)336,105
C42.33(C2×C4) = C6×C7⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C42336C42.33(C2xC4)336,63
C42.34(C2×C4) = C3×C4.Dic7φ: C2×C4/C22 → C2 ⊆ Aut C421682C42.34(C2xC4)336,64
C42.35(C2×C4) = C3×C4⋊Dic7φ: C2×C4/C22 → C2 ⊆ Aut C42336C42.35(C2xC4)336,67
C42.36(C2×C4) = C3×C23.D7φ: C2×C4/C22 → C2 ⊆ Aut C42168C42.36(C2xC4)336,73
C42.37(C2×C4) = C14×C3⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C42336C42.37(C2xC4)336,79
C42.38(C2×C4) = C7×C4.Dic3φ: C2×C4/C22 → C2 ⊆ Aut C421682C42.38(C2xC4)336,80
C42.39(C2×C4) = C7×C4⋊Dic3φ: C2×C4/C22 → C2 ⊆ Aut C42336C42.39(C2xC4)336,83
C42.40(C2×C4) = C7×C6.D4φ: C2×C4/C22 → C2 ⊆ Aut C42168C42.40(C2xC4)336,89
C42.41(C2×C4) = C22⋊C4×C21central extension (φ=1)168C42.41(C2xC4)336,107
C42.42(C2×C4) = C4⋊C4×C21central extension (φ=1)336C42.42(C2xC4)336,108
C42.43(C2×C4) = M4(2)×C21central extension (φ=1)1682C42.43(C2xC4)336,110

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