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.D4112C14xC4.D4448,819

Semidirect products G=N:Q with N=C14 and Q=C4.D4
extensionφ:Q→Aut NdρLabelID
C14⋊1(C4.D4) = C2×C28.46D4φ: C4.D4/M4(2) → C2 ⊆ Aut C14112C14:1(C4.D4)448,664
C14⋊2(C4.D4) = C2×C28.D4φ: C4.D4/C2×D4 → C2 ⊆ Aut C14112C14:2(C4.D4)448,750

Non-split extensions G=N.Q with N=C14 and Q=C4.D4
extensionφ:Q→Aut NdρLabelID
C14.1(C4.D4) = C42.D14φ: C4.D4/M4(2) → C2 ⊆ Aut C14224C14.1(C4.D4)448,21
C14.2(C4.D4) = (C22×D7)⋊C8φ: C4.D4/M4(2) → C2 ⊆ Aut C14112C14.2(C4.D4)448,25
C14.3(C4.D4) = C4.Dic28φ: C4.D4/M4(2) → C2 ⊆ Aut C14448C14.3(C4.D4)448,38
C14.4(C4.D4) = C4.D56φ: C4.D4/M4(2) → C2 ⊆ Aut C14224C14.4(C4.D4)448,42
C14.5(C4.D4) = M4(2)⋊Dic7φ: C4.D4/M4(2) → C2 ⊆ Aut C14224C14.5(C4.D4)448,111
C14.6(C4.D4) = C24.Dic7φ: C4.D4/C2×D4 → C2 ⊆ Aut C14112C14.6(C4.D4)448,82
C14.7(C4.D4) = C28.(C4⋊C4)φ: C4.D4/C2×D4 → C2 ⊆ Aut C14224C14.7(C4.D4)448,87
C14.8(C4.D4) = C42.7D14φ: C4.D4/C2×D4 → C2 ⊆ Aut C14224C14.8(C4.D4)448,97
C14.9(C4.D4) = C28.9D8φ: C4.D4/C2×D4 → C2 ⊆ Aut C14224C14.9(C4.D4)448,101
C14.10(C4.D4) = C28.5Q16φ: C4.D4/C2×D4 → C2 ⊆ Aut C14448C14.10(C4.D4)448,103
C14.11(C4.D4) = C7×C23⋊C8central extension (φ=1)112C14.11(C4.D4)448,127
C14.12(C4.D4) = C7×C42.C22central extension (φ=1)224C14.12(C4.D4)448,133
C14.13(C4.D4) = C7×C4.D8central extension (φ=1)224C14.13(C4.D4)448,135
C14.14(C4.D4) = C7×C4.6Q16central extension (φ=1)448C14.14(C4.D4)448,137
C14.15(C4.D4) = C7×C22.C42central extension (φ=1)224C14.15(C4.D4)448,147

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁