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Extensions 1→N→G→Q→1 with N=C6 and Q=C42⋊2C2

Direct product G=N×Q with N=C6 and Q=C42⋊2C2
dρLabelID
C6×C42⋊2C296C6xC4^2:2C2192,1417

Semidirect products G=N:Q with N=C6 and Q=C42⋊2C2
extensionφ:Q→Aut NdρLabelID
C6⋊1(C42⋊2C2) = C2×C42⋊3S3φ: C42⋊2C2/C42 → C2 ⊆ Aut C696C6:1(C4^2:2C2)192,1037
C6⋊2(C42⋊2C2) = C2×C23.8D6φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C696C6:2(C4^2:2C2)192,1041
C6⋊3(C42⋊2C2) = C2×C4⋊C4⋊S3φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C696C6:3(C4^2:2C2)192,1071

Non-split extensions G=N.Q with N=C6 and Q=C42⋊2C2
extensionφ:Q→Aut NdρLabelID
C6.1(C42⋊2C2) = (C2×Dic3).9D4φ: C42⋊2C2/C42 → C2 ⊆ Aut C6192C6.1(C4^2:2C2)192,217
C6.2(C42⋊2C2) = (C22×C4).37D6φ: C42⋊2C2/C42 → C2 ⊆ Aut C696C6.2(C4^2:2C2)192,235
C6.3(C42⋊2C2) = (C2×C42).6S3φ: C42⋊2C2/C42 → C2 ⊆ Aut C6192C6.3(C4^2:2C2)192,492
C6.4(C42⋊2C2) = C42⋊7Dic3φ: C42⋊2C2/C42 → C2 ⊆ Aut C6192C6.4(C4^2:2C2)192,496
C6.5(C42⋊2C2) = (C2×C42)⋊3S3φ: C42⋊2C2/C42 → C2 ⊆ Aut C696C6.5(C4^2:2C2)192,499
C6.6(C42⋊2C2) = C3⋊(C42⋊5C4)φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C6192C6.6(C4^2:2C2)192,210
C6.7(C42⋊2C2) = C6.(C4×D4)φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C6192C6.7(C4^2:2C2)192,211
C6.8(C42⋊2C2) = C2.(C4×D12)φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C6192C6.8(C4^2:2C2)192,212
C6.9(C42⋊2C2) = Dic3⋊C4⋊C4φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C6192C6.9(C4^2:2C2)192,214
C6.10(C42⋊2C2) = (C2×C4).17D12φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C6192C6.10(C4^2:2C2)192,218
C6.11(C42⋊2C2) = C24.14D6φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C696C6.11(C4^2:2C2)192,503
C6.12(C42⋊2C2) = C24.15D6φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C696C6.12(C4^2:2C2)192,504
C6.13(C42⋊2C2) = C24.17D6φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C696C6.13(C4^2:2C2)192,507
C6.14(C42⋊2C2) = C24.19D6φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C696C6.14(C4^2:2C2)192,510
C6.15(C42⋊2C2) = C24.20D6φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C696C6.15(C4^2:2C2)192,511
C6.16(C42⋊2C2) = C24.21D6φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C696C6.16(C4^2:2C2)192,512
C6.17(C42⋊2C2) = C2.(C4×Dic6)φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C6192C6.17(C4^2:2C2)192,213
C6.18(C42⋊2C2) = (C2×C4).Dic6φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C6192C6.18(C4^2:2C2)192,219
C6.19(C42⋊2C2) = (C22×C4).30D6φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C6192C6.19(C4^2:2C2)192,221
C6.20(C42⋊2C2) = D6⋊C4⋊5C4φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C696C6.20(C4^2:2C2)192,228
C6.21(C42⋊2C2) = D6⋊C4⋊3C4φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C696C6.21(C4^2:2C2)192,229
C6.22(C42⋊2C2) = (C2×C4).21D12φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C696C6.22(C4^2:2C2)192,233
C6.23(C42⋊2C2) = C6.(C4⋊D4)φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C696C6.23(C4^2:2C2)192,234
C6.24(C42⋊2C2) = C6.67(C4×D4)φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C6192C6.24(C4^2:2C2)192,537
C6.25(C42⋊2C2) = C4⋊C4⋊5Dic3φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C6192C6.25(C4^2:2C2)192,539
C6.26(C42⋊2C2) = (C2×C12).288D4φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C6192C6.26(C4^2:2C2)192,544
C6.27(C42⋊2C2) = (C2×C12).55D4φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C6192C6.27(C4^2:2C2)192,545
C6.28(C42⋊2C2) = D6⋊C4⋊7C4φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C696C6.28(C4^2:2C2)192,549
C6.29(C42⋊2C2) = (C2×C12).289D4φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C696C6.29(C4^2:2C2)192,551
C6.30(C42⋊2C2) = (C2×C12).56D4φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C696C6.30(C4^2:2C2)192,553
C6.31(C42⋊2C2) = C3×C42⋊5C4central extension (φ=1)192C6.31(C4^2:2C2)192,816
C6.32(C42⋊2C2) = C3×C23.63C23central extension (φ=1)192C6.32(C4^2:2C2)192,820
C6.33(C42⋊2C2) = C3×C24.C22central extension (φ=1)96C6.33(C4^2:2C2)192,821
C6.34(C42⋊2C2) = C3×C23.Q8central extension (φ=1)96C6.34(C4^2:2C2)192,829
C6.35(C42⋊2C2) = C3×C23.11D4central extension (φ=1)96C6.35(C4^2:2C2)192,830
C6.36(C42⋊2C2) = C3×C23.83C23central extension (φ=1)192C6.36(C4^2:2C2)192,833
C6.37(C42⋊2C2) = C3×C23.84C23central extension (φ=1)192C6.37(C4^2:2C2)192,834

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