Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

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

Direct product G=N×Q with N=C6 and Q=C42⋊C2
dρLabelID
C6×C42⋊C296C6xC4^2:C2192,1403

Semidirect products G=N:Q with N=C6 and Q=C42⋊C2
extensionφ:Q→Aut NdρLabelID
C6⋊1(C42⋊C2) = C2×C42⋊2S3φ: C42⋊C2/C42 → C2 ⊆ Aut C696C6:1(C4^2:C2)192,1031
C6⋊2(C42⋊C2) = C2×C23.16D6φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C696C6:2(C4^2:C2)192,1039
C6⋊3(C42⋊C2) = C2×C4⋊C4⋊7S3φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C696C6:3(C4^2:C2)192,1061
C6⋊4(C42⋊C2) = C2×C23.26D6φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C696C6:4(C4^2:C2)192,1345

Non-split extensions G=N.Q with N=C6 and Q=C42⋊C2
extensionφ:Q→Aut NdρLabelID
C6.1(C42⋊C2) = C3⋊(C42⋊8C4)φ: C42⋊C2/C42 → C2 ⊆ Aut C6192C6.1(C4^2:C2)192,209
C6.2(C42⋊C2) = C3⋊(C42⋊5C4)φ: C42⋊C2/C42 → C2 ⊆ Aut C6192C6.2(C4^2:C2)192,210
C6.3(C42⋊C2) = C6.(C4×D4)φ: C42⋊C2/C42 → C2 ⊆ Aut C6192C6.3(C4^2:C2)192,211
C6.4(C42⋊C2) = C22.58(S3×D4)φ: C42⋊C2/C42 → C2 ⊆ Aut C696C6.4(C4^2:C2)192,223
C6.5(C42⋊C2) = D6⋊(C4⋊C4)φ: C42⋊C2/C42 → C2 ⊆ Aut C696C6.5(C4^2:C2)192,226
C6.6(C42⋊C2) = D6⋊C4⋊5C4φ: C42⋊C2/C42 → C2 ⊆ Aut C696C6.6(C4^2:C2)192,228
C6.7(C42⋊C2) = C42.282D6φ: C42⋊C2/C42 → C2 ⊆ Aut C696C6.7(C4^2:C2)192,244
C6.8(C42⋊C2) = C42.243D6φ: C42⋊C2/C42 → C2 ⊆ Aut C696C6.8(C4^2:C2)192,249
C6.9(C42⋊C2) = C42.182D6φ: C42⋊C2/C42 → C2 ⊆ Aut C696C6.9(C4^2:C2)192,264
C6.10(C42⋊C2) = C42.185D6φ: C42⋊C2/C42 → C2 ⊆ Aut C696C6.10(C4^2:C2)192,268
C6.11(C42⋊C2) = C4×Dic3⋊C4φ: C42⋊C2/C42 → C2 ⊆ Aut C6192C6.11(C4^2:C2)192,490
C6.12(C42⋊C2) = C42⋊6Dic3φ: C42⋊C2/C42 → C2 ⊆ Aut C6192C6.12(C4^2:C2)192,491
C6.13(C42⋊C2) = (C2×C42).6S3φ: C42⋊C2/C42 → C2 ⊆ Aut C6192C6.13(C4^2:C2)192,492
C6.14(C42⋊C2) = C4×D6⋊C4φ: C42⋊C2/C42 → C2 ⊆ Aut C696C6.14(C4^2:C2)192,497
C6.15(C42⋊C2) = (C2×C42)⋊3S3φ: C42⋊C2/C42 → C2 ⊆ Aut C696C6.15(C4^2:C2)192,499
C6.16(C42⋊C2) = Dic3.5C42φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C6192C6.16(C4^2:C2)192,207
C6.17(C42⋊C2) = Dic3⋊C42φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C6192C6.17(C4^2:C2)192,208
C6.18(C42⋊C2) = C2.(C4×D12)φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C6192C6.18(C4^2:C2)192,212
C6.19(C42⋊C2) = C2.(C4×Dic6)φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C6192C6.19(C4^2:C2)192,213
C6.20(C42⋊C2) = Dic3.5M4(2)φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C696C6.20(C4^2:C2)192,277
C6.21(C42⋊C2) = Dic3.M4(2)φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C696C6.21(C4^2:C2)192,278
C6.22(C42⋊C2) = C24⋊C4⋊C2φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C696C6.22(C4^2:C2)192,279
C6.23(C42⋊C2) = Dic3×C22⋊C4φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C696C6.23(C4^2:C2)192,500
C6.24(C42⋊C2) = C24.55D6φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C696C6.24(C4^2:C2)192,501
C6.25(C42⋊C2) = C24.56D6φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C696C6.25(C4^2:C2)192,502
C6.26(C42⋊C2) = C24.14D6φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C696C6.26(C4^2:C2)192,503
C6.27(C42⋊C2) = C24.15D6φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C696C6.27(C4^2:C2)192,504
C6.28(C42⋊C2) = Dic3⋊C4⋊C4φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C6192C6.28(C4^2:C2)192,214
C6.29(C42⋊C2) = D6⋊C42φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C696C6.29(C4^2:C2)192,225
C6.30(C42⋊C2) = D6⋊C4⋊3C4φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C696C6.30(C4^2:C2)192,229
C6.31(C42⋊C2) = C42.200D6φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C696C6.31(C4^2:C2)192,392
C6.32(C42⋊C2) = C42.202D6φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C696C6.32(C4^2:C2)192,394
C6.33(C42⋊C2) = C42.31D6φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C696C6.33(C4^2:C2)192,399
C6.34(C42⋊C2) = Dic3×C4⋊C4φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C6192C6.34(C4^2:C2)192,533
C6.35(C42⋊C2) = (C4×Dic3)⋊9C4φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C6192C6.35(C4^2:C2)192,536
C6.36(C42⋊C2) = C6.67(C4×D4)φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C6192C6.36(C4^2:C2)192,537
C6.37(C42⋊C2) = C4⋊(D6⋊C4)φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C696C6.37(C4^2:C2)192,546
C6.38(C42⋊C2) = D6⋊C4⋊7C4φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C696C6.38(C4^2:C2)192,549
C6.39(C42⋊C2) = C42.285D6φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C696C6.39(C4^2:C2)192,484
C6.40(C42⋊C2) = C42.270D6φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C696C6.40(C4^2:C2)192,485
C6.41(C42⋊C2) = C4×C4⋊Dic3φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C6192C6.41(C4^2:C2)192,493
C6.42(C42⋊C2) = C42⋊11Dic3φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C6192C6.42(C4^2:C2)192,495
C6.43(C42⋊C2) = C42⋊7Dic3φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C6192C6.43(C4^2:C2)192,496
C6.44(C42⋊C2) = C24.19D6φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C696C6.44(C4^2:C2)192,510
C6.45(C42⋊C2) = C4⋊C4⋊5Dic3φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C6192C6.45(C4^2:C2)192,539
C6.46(C42⋊C2) = C42.187D6φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C696C6.46(C4^2:C2)192,559
C6.47(C42⋊C2) = C4×C6.D4φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C696C6.47(C4^2:C2)192,768
C6.48(C42⋊C2) = C24.74D6φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C696C6.48(C4^2:C2)192,770
C6.49(C42⋊C2) = C24.75D6φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C696C6.49(C4^2:C2)192,771
C6.50(C42⋊C2) = C3×C42⋊4C4central extension (φ=1)192C6.50(C4^2:C2)192,809
C6.51(C42⋊C2) = C12×C22⋊C4central extension (φ=1)96C6.51(C4^2:C2)192,810
C6.52(C42⋊C2) = C12×C4⋊C4central extension (φ=1)192C6.52(C4^2:C2)192,811
C6.53(C42⋊C2) = C3×C23.7Q8central extension (φ=1)96C6.53(C4^2:C2)192,813
C6.54(C42⋊C2) = C3×C23.34D4central extension (φ=1)96C6.54(C4^2:C2)192,814
C6.55(C42⋊C2) = C3×C42⋊8C4central extension (φ=1)192C6.55(C4^2:C2)192,815
C6.56(C42⋊C2) = C3×C42⋊5C4central extension (φ=1)192C6.56(C4^2:C2)192,816
C6.57(C42⋊C2) = C3×C23.63C23central extension (φ=1)192C6.57(C4^2:C2)192,820
C6.58(C42⋊C2) = C3×C24.C22central extension (φ=1)96C6.58(C4^2:C2)192,821
C6.59(C42⋊C2) = C3×C42.12C4central extension (φ=1)96C6.59(C4^2:C2)192,864
C6.60(C42⋊C2) = C3×C42.6C4central extension (φ=1)96C6.60(C4^2:C2)192,865
C6.61(C42⋊C2) = C3×C42.7C22central extension (φ=1)96C6.61(C4^2:C2)192,866

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁