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

Extensions 1→N→G→Q→1 with N=C5 and Q=C22.31C24

Direct product G=N×Q with N=C5 and Q=C22.31C24
dρLabelID
C5×C22.31C24160C5xC2^2.31C2^4320,1539

Semidirect products G=N:Q with N=C5 and Q=C22.31C24
extensionφ:Q→Aut NdρLabelID
C5⋊1(C22.31C24) = C10.2+ 1+4φ: C22.31C24/C2×C4⋊C4 → C2 ⊆ Aut C5160C5:1(C2^2.31C2^4)320,1182
C5⋊2(C22.31C24) = C10.682- 1+4φ: C22.31C24/C4⋊D4 → C2 ⊆ Aut C5160C5:2(C2^2.31C2^4)320,1269
C5⋊3(C22.31C24) = C10.392+ 1+4φ: C22.31C24/C4⋊D4 → C2 ⊆ Aut C5160C5:3(C2^2.31C2^4)320,1280
C5⋊4(C22.31C24) = C10.172- 1+4φ: C22.31C24/C22⋊Q8 → C2 ⊆ Aut C5160C5:4(C2^2.31C2^4)320,1301
C5⋊5(C22.31C24) = C10.1472+ 1+4φ: C22.31C24/C2×C4○D4 → C2 ⊆ Aut C5160C5:5(C2^2.31C2^4)320,1505


׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁