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

Extensions 1→N→G→Q→1 with N=C14 and Q=C4○D4

Direct product G=N×Q with N=C14 and Q=C4○D4
dρLabelID
C14×C4○D4112C14xC4oD4224,192

Semidirect products G=N:Q with N=C14 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
C14⋊1(C4○D4) = C2×C4○D28φ: C4○D4/C2×C4 → C2 ⊆ Aut C14112C14:1(C4oD4)224,177
C14⋊2(C4○D4) = C2×D4⋊2D7φ: C4○D4/D4 → C2 ⊆ Aut C14112C14:2(C4oD4)224,179
C14⋊3(C4○D4) = C2×Q8⋊2D7φ: C4○D4/Q8 → C2 ⊆ Aut C14112C14:3(C4oD4)224,182

Non-split extensions G=N.Q with N=C14 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
C14.1(C4○D4) = C4×Dic14φ: C4○D4/C2×C4 → C2 ⊆ Aut C14224C14.1(C4oD4)224,63
C14.2(C4○D4) = C28.6Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C14224C14.2(C4oD4)224,65
C14.3(C4○D4) = C42⋊D7φ: C4○D4/C2×C4 → C2 ⊆ Aut C14112C14.3(C4oD4)224,67
C14.4(C4○D4) = C4×D28φ: C4○D4/C2×C4 → C2 ⊆ Aut C14112C14.4(C4oD4)224,68
C14.5(C4○D4) = C4.D28φ: C4○D4/C2×C4 → C2 ⊆ Aut C14112C14.5(C4oD4)224,70
C14.6(C4○D4) = C42⋊2D7φ: C4○D4/C2×C4 → C2 ⊆ Aut C14112C14.6(C4oD4)224,71
C14.7(C4○D4) = C23.D14φ: C4○D4/C2×C4 → C2 ⊆ Aut C14112C14.7(C4oD4)224,74
C14.8(C4○D4) = D14.D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C14112C14.8(C4oD4)224,78
C14.9(C4○D4) = D14⋊D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C14112C14.9(C4oD4)224,79
C14.10(C4○D4) = Dic7.D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C14112C14.10(C4oD4)224,80
C14.11(C4○D4) = Dic7.Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C14224C14.11(C4oD4)224,84
C14.12(C4○D4) = D14.5D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C14112C14.12(C4oD4)224,89
C14.13(C4○D4) = D14⋊Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C14112C14.13(C4oD4)224,91
C14.14(C4○D4) = C4⋊C4⋊D7φ: C4○D4/C2×C4 → C2 ⊆ Aut C14112C14.14(C4oD4)224,93
C14.15(C4○D4) = C28.48D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C14112C14.15(C4oD4)224,119
C14.16(C4○D4) = C23.21D14φ: C4○D4/C2×C4 → C2 ⊆ Aut C14112C14.16(C4oD4)224,121
C14.17(C4○D4) = C4×C7⋊D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C14112C14.17(C4oD4)224,123
C14.18(C4○D4) = C23.23D14φ: C4○D4/C2×C4 → C2 ⊆ Aut C14112C14.18(C4oD4)224,124
C14.19(C4○D4) = C28⋊7D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C14112C14.19(C4oD4)224,125
C14.20(C4○D4) = C23.11D14φ: C4○D4/D4 → C2 ⊆ Aut C14112C14.20(C4oD4)224,72
C14.21(C4○D4) = C22⋊Dic14φ: C4○D4/D4 → C2 ⊆ Aut C14112C14.21(C4oD4)224,73
C14.22(C4○D4) = Dic7⋊4D4φ: C4○D4/D4 → C2 ⊆ Aut C14112C14.22(C4oD4)224,76
C14.23(C4○D4) = C22.D28φ: C4○D4/D4 → C2 ⊆ Aut C14112C14.23(C4oD4)224,81
C14.24(C4○D4) = Dic7⋊3Q8φ: C4○D4/D4 → C2 ⊆ Aut C14224C14.24(C4oD4)224,82
C14.25(C4○D4) = C28.3Q8φ: C4○D4/D4 → C2 ⊆ Aut C14224C14.25(C4oD4)224,85
C14.26(C4○D4) = C4⋊C4⋊7D7φ: C4○D4/D4 → C2 ⊆ Aut C14112C14.26(C4oD4)224,87
C14.27(C4○D4) = D14⋊2Q8φ: C4○D4/D4 → C2 ⊆ Aut C14112C14.27(C4oD4)224,92
C14.28(C4○D4) = D4×Dic7φ: C4○D4/D4 → C2 ⊆ Aut C14112C14.28(C4oD4)224,129
C14.29(C4○D4) = C23.18D14φ: C4○D4/D4 → C2 ⊆ Aut C14112C14.29(C4oD4)224,130
C14.30(C4○D4) = C28.17D4φ: C4○D4/D4 → C2 ⊆ Aut C14112C14.30(C4oD4)224,131
C14.31(C4○D4) = C28⋊2D4φ: C4○D4/D4 → C2 ⊆ Aut C14112C14.31(C4oD4)224,133
C14.32(C4○D4) = Dic7⋊D4φ: C4○D4/D4 → C2 ⊆ Aut C14112C14.32(C4oD4)224,134
C14.33(C4○D4) = D28⋊C4φ: C4○D4/Q8 → C2 ⊆ Aut C14112C14.33(C4oD4)224,88
C14.34(C4○D4) = C4⋊D28φ: C4○D4/Q8 → C2 ⊆ Aut C14112C14.34(C4oD4)224,90
C14.35(C4○D4) = Q8×Dic7φ: C4○D4/Q8 → C2 ⊆ Aut C14224C14.35(C4oD4)224,140
C14.36(C4○D4) = D14⋊3Q8φ: C4○D4/Q8 → C2 ⊆ Aut C14112C14.36(C4oD4)224,141
C14.37(C4○D4) = C28.23D4φ: C4○D4/Q8 → C2 ⊆ Aut C14112C14.37(C4oD4)224,142
C14.38(C4○D4) = C7×C42⋊C2central extension (φ=1)112C14.38(C4oD4)224,152
C14.39(C4○D4) = D4×C28central extension (φ=1)112C14.39(C4oD4)224,153
C14.40(C4○D4) = Q8×C28central extension (φ=1)224C14.40(C4oD4)224,154
C14.41(C4○D4) = C7×C4⋊D4central extension (φ=1)112C14.41(C4oD4)224,156
C14.42(C4○D4) = C7×C22⋊Q8central extension (φ=1)112C14.42(C4oD4)224,157
C14.43(C4○D4) = C7×C22.D4central extension (φ=1)112C14.43(C4oD4)224,158
C14.44(C4○D4) = C7×C4.4D4central extension (φ=1)112C14.44(C4oD4)224,159
C14.45(C4○D4) = C7×C42.C2central extension (φ=1)224C14.45(C4oD4)224,160
C14.46(C4○D4) = C7×C42⋊2C2central extension (φ=1)112C14.46(C4oD4)224,161

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁