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

Extensions 1→N→G→Q→1 with N=C5 and Q=C23.83C23

Direct product G=N×Q with N=C5 and Q=C23.83C23
dρLabelID
C5×C23.83C23320C5xC2^3.83C2^3320,901

Semidirect products G=N:Q with N=C5 and Q=C23.83C23
extensionφ:Q→Aut NdρLabelID
C5⋊1(C23.83C23) = (C2×Dic5).Q8φ: C23.83C23/C2.C42 → C2 ⊆ Aut C5320C5:1(C2^3.83C2^3)320,285
C5⋊2(C23.83C23) = (C2×C20).28D4φ: C23.83C23/C2.C42 → C2 ⊆ Aut C5320C5:2(C2^3.83C2^3)320,286
C5⋊3(C23.83C23) = (C2×C4).Dic10φ: C23.83C23/C2.C42 → C2 ⊆ Aut C5320C5:3(C2^3.83C2^3)320,287
C5⋊4(C23.83C23) = (C2×C20).288D4φ: C23.83C23/C2×C4⋊C4 → C2 ⊆ Aut C5320C5:4(C2^3.83C2^3)320,609
C5⋊5(C23.83C23) = (C2×C20).55D4φ: C23.83C23/C2×C4⋊C4 → C2 ⊆ Aut C5320C5:5(C2^3.83C2^3)320,613


׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁