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

Extensions 1→N→G→Q→1 with N=C22×C34 and Q=C2

Direct product G=N×Q with N=C22×C34 and Q=C2
dρLabelID
C23×C34272C2^3xC34272,54

Semidirect products G=N:Q with N=C22×C34 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22×C34)⋊1C2 = D4×C34φ: C2/C1 → C2 ⊆ Aut C22×C34136(C2^2xC34):1C2272,47
(C22×C34)⋊2C2 = C2×C17⋊D4φ: C2/C1 → C2 ⊆ Aut C22×C34136(C2^2xC34):2C2272,45
(C22×C34)⋊3C2 = C23×D17φ: C2/C1 → C2 ⊆ Aut C22×C34136(C2^2xC34):3C2272,53

Non-split extensions G=N.Q with N=C22×C34 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22×C34).1C2 = C22⋊C4×C17φ: C2/C1 → C2 ⊆ Aut C22×C34136(C2^2xC34).1C2272,21
(C22×C34).2C2 = C23.D17φ: C2/C1 → C2 ⊆ Aut C22×C34136(C2^2xC34).2C2272,19
(C22×C34).3C2 = C22×Dic17φ: C2/C1 → C2 ⊆ Aut C22×C34272(C2^2xC34).3C2272,44

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁