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Extensions 1→N→G→Q→1 with N=C28 and Q=C2×C6

Direct product G=N×Q with N=C28 and Q=C2×C6
dρLabelID
C22×C84336C2^2xC84336,204

Semidirect products G=N:Q with N=C28 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
C28⋊(C2×C6) = D4×F7φ: C2×C6/C1 → C2×C6 ⊆ Aut C282812+C28:(C2xC6)336,125
C28⋊2(C2×C6) = C2×C4⋊F7φ: C2×C6/C2 → C6 ⊆ Aut C2856C28:2(C2xC6)336,123
C28⋊3(C2×C6) = C2×C4×F7φ: C2×C6/C2 → C6 ⊆ Aut C2856C28:3(C2xC6)336,122
C28⋊4(C2×C6) = C2×D4×C7⋊C3φ: C2×C6/C2 → C6 ⊆ Aut C2856C28:4(C2xC6)336,165
C28⋊5(C2×C6) = C3×D4×D7φ: C2×C6/C3 → C22 ⊆ Aut C28844C28:5(C2xC6)336,178
C28⋊6(C2×C6) = C22×C4×C7⋊C3φ: C2×C6/C22 → C3 ⊆ Aut C28112C28:6(C2xC6)336,164
C28⋊7(C2×C6) = C6×D28φ: C2×C6/C6 → C2 ⊆ Aut C28168C28:7(C2xC6)336,176
C28⋊8(C2×C6) = D7×C2×C12φ: C2×C6/C6 → C2 ⊆ Aut C28168C28:8(C2xC6)336,175
C28⋊9(C2×C6) = D4×C42φ: C2×C6/C6 → C2 ⊆ Aut C28168C28:9(C2xC6)336,205

Non-split extensions G=N.Q with N=C28 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
C28.1(C2×C6) = D4⋊F7φ: C2×C6/C1 → C2×C6 ⊆ Aut C285612+C28.1(C2xC6)336,18
C28.2(C2×C6) = D4.F7φ: C2×C6/C1 → C2×C6 ⊆ Aut C285612-C28.2(C2xC6)336,19
C28.3(C2×C6) = Q8⋊2F7φ: C2×C6/C1 → C2×C6 ⊆ Aut C285612+C28.3(C2xC6)336,20
C28.4(C2×C6) = Q8.2F7φ: C2×C6/C1 → C2×C6 ⊆ Aut C2811212-C28.4(C2xC6)336,21
C28.5(C2×C6) = D4⋊2F7φ: C2×C6/C1 → C2×C6 ⊆ Aut C285612-C28.5(C2xC6)336,126
C28.6(C2×C6) = Q8×F7φ: C2×C6/C1 → C2×C6 ⊆ Aut C285612-C28.6(C2xC6)336,127
C28.7(C2×C6) = Q8⋊3F7φ: C2×C6/C1 → C2×C6 ⊆ Aut C285612+C28.7(C2xC6)336,128
C28.8(C2×C6) = C56⋊C6φ: C2×C6/C2 → C6 ⊆ Aut C28566C28.8(C2xC6)336,9
C28.9(C2×C6) = D56⋊C3φ: C2×C6/C2 → C6 ⊆ Aut C28566+C28.9(C2xC6)336,10
C28.10(C2×C6) = C8.F7φ: C2×C6/C2 → C6 ⊆ Aut C281126-C28.10(C2xC6)336,11
C28.11(C2×C6) = C2×C4.F7φ: C2×C6/C2 → C6 ⊆ Aut C28112C28.11(C2xC6)336,121
C28.12(C2×C6) = D28⋊6C6φ: C2×C6/C2 → C6 ⊆ Aut C28566C28.12(C2xC6)336,124
C28.13(C2×C6) = C8×F7φ: C2×C6/C2 → C6 ⊆ Aut C28566C28.13(C2xC6)336,7
C28.14(C2×C6) = C8⋊F7φ: C2×C6/C2 → C6 ⊆ Aut C28566C28.14(C2xC6)336,8
C28.15(C2×C6) = C2×C7⋊C24φ: C2×C6/C2 → C6 ⊆ Aut C28112C28.15(C2xC6)336,12
C28.16(C2×C6) = C28.C12φ: C2×C6/C2 → C6 ⊆ Aut C28566C28.16(C2xC6)336,13
C28.17(C2×C6) = D8×C7⋊C3φ: C2×C6/C2 → C6 ⊆ Aut C28566C28.17(C2xC6)336,53
C28.18(C2×C6) = SD16×C7⋊C3φ: C2×C6/C2 → C6 ⊆ Aut C28566C28.18(C2xC6)336,54
C28.19(C2×C6) = Q16×C7⋊C3φ: C2×C6/C2 → C6 ⊆ Aut C281126C28.19(C2xC6)336,55
C28.20(C2×C6) = C2×Q8×C7⋊C3φ: C2×C6/C2 → C6 ⊆ Aut C28112C28.20(C2xC6)336,166
C28.21(C2×C6) = C4○D4×C7⋊C3φ: C2×C6/C2 → C6 ⊆ Aut C28566C28.21(C2xC6)336,167
C28.22(C2×C6) = C3×D4⋊D7φ: C2×C6/C3 → C22 ⊆ Aut C281684C28.22(C2xC6)336,69
C28.23(C2×C6) = C3×D4.D7φ: C2×C6/C3 → C22 ⊆ Aut C281684C28.23(C2xC6)336,70
C28.24(C2×C6) = C3×Q8⋊D7φ: C2×C6/C3 → C22 ⊆ Aut C281684C28.24(C2xC6)336,71
C28.25(C2×C6) = C3×C7⋊Q16φ: C2×C6/C3 → C22 ⊆ Aut C283364C28.25(C2xC6)336,72
C28.26(C2×C6) = C3×D4⋊2D7φ: C2×C6/C3 → C22 ⊆ Aut C281684C28.26(C2xC6)336,179
C28.27(C2×C6) = C3×Q8×D7φ: C2×C6/C3 → C22 ⊆ Aut C281684C28.27(C2xC6)336,180
C28.28(C2×C6) = C3×Q8⋊2D7φ: C2×C6/C3 → C22 ⊆ Aut C281684C28.28(C2xC6)336,181
C28.29(C2×C6) = C2×C8×C7⋊C3φ: C2×C6/C22 → C3 ⊆ Aut C28112C28.29(C2xC6)336,51
C28.30(C2×C6) = M4(2)×C7⋊C3φ: C2×C6/C22 → C3 ⊆ Aut C28566C28.30(C2xC6)336,52
C28.31(C2×C6) = C3×C56⋊C2φ: C2×C6/C6 → C2 ⊆ Aut C281682C28.31(C2xC6)336,60
C28.32(C2×C6) = C3×D56φ: C2×C6/C6 → C2 ⊆ Aut C281682C28.32(C2xC6)336,61
C28.33(C2×C6) = C3×Dic28φ: C2×C6/C6 → C2 ⊆ Aut C283362C28.33(C2xC6)336,62
C28.34(C2×C6) = C6×Dic14φ: C2×C6/C6 → C2 ⊆ Aut C28336C28.34(C2xC6)336,174
C28.35(C2×C6) = C3×C4○D28φ: C2×C6/C6 → C2 ⊆ Aut C281682C28.35(C2xC6)336,177
C28.36(C2×C6) = D7×C24φ: C2×C6/C6 → C2 ⊆ Aut C281682C28.36(C2xC6)336,58
C28.37(C2×C6) = C3×C8⋊D7φ: C2×C6/C6 → C2 ⊆ Aut C281682C28.37(C2xC6)336,59
C28.38(C2×C6) = C6×C7⋊C8φ: C2×C6/C6 → C2 ⊆ Aut C28336C28.38(C2xC6)336,63
C28.39(C2×C6) = C3×C4.Dic7φ: C2×C6/C6 → C2 ⊆ Aut C281682C28.39(C2xC6)336,64
C28.40(C2×C6) = D8×C21φ: C2×C6/C6 → C2 ⊆ Aut C281682C28.40(C2xC6)336,111
C28.41(C2×C6) = SD16×C21φ: C2×C6/C6 → C2 ⊆ Aut C281682C28.41(C2xC6)336,112
C28.42(C2×C6) = Q16×C21φ: C2×C6/C6 → C2 ⊆ Aut C283362C28.42(C2xC6)336,113
C28.43(C2×C6) = Q8×C42φ: C2×C6/C6 → C2 ⊆ Aut C28336C28.43(C2xC6)336,206
C28.44(C2×C6) = C4○D4×C21φ: C2×C6/C6 → C2 ⊆ Aut C281682C28.44(C2xC6)336,207
C28.45(C2×C6) = M4(2)×C21central extension (φ=1)1682C28.45(C2xC6)336,110

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