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

Extensions 1→N→G→Q→1 with N=C3×C6 and Q=C24

Direct product G=N×Q with N=C3×C6 and Q=C24
dρLabelID
C3×C6×C24432C3xC6xC24432,515

Semidirect products G=N:Q with N=C3×C6 and Q=C24
extensionφ:Q→Aut NdρLabelID
(C3×C6)⋊C24 = C6×F9φ: C24/C3 → C8 ⊆ Aut C3×C6488(C3xC6):C24432,751
(C3×C6)⋊2C24 = C2×He3⋊3C8φ: C24/C4 → C6 ⊆ Aut C3×C6144(C3xC6):2C24432,136
(C3×C6)⋊3C24 = C6×C32⋊2C8φ: C24/C6 → C4 ⊆ Aut C3×C648(C3xC6):3C24432,632
(C3×C6)⋊4C24 = C2×C8×He3φ: C24/C8 → C3 ⊆ Aut C3×C6144(C3xC6):4C24432,210
(C3×C6)⋊5C24 = C3×C6×C3⋊C8φ: C24/C12 → C2 ⊆ Aut C3×C6144(C3xC6):5C24432,469
(C3×C6)⋊6C24 = C6×C32⋊4C8φ: C24/C12 → C2 ⊆ Aut C3×C6144(C3xC6):6C24432,485

Non-split extensions G=N.Q with N=C3×C6 and Q=C24
extensionφ:Q→Aut NdρLabelID
(C3×C6).C24 = C3×C2.F9φ: C24/C3 → C8 ⊆ Aut C3×C6488(C3xC6).C24432,565
(C3×C6).2C24 = He3⋊3C16φ: C24/C4 → C6 ⊆ Aut C3×C61446(C3xC6).2C24432,30
(C3×C6).3C24 = C3×C32⋊2C16φ: C24/C6 → C4 ⊆ Aut C3×C6484(C3xC6).3C24432,412
(C3×C6).4C24 = C16×He3φ: C24/C8 → C3 ⊆ Aut C3×C61443(C3xC6).4C24432,35
(C3×C6).5C24 = C16×3- 1+2φ: C24/C8 → C3 ⊆ Aut C3×C61443(C3xC6).5C24432,36
(C3×C6).6C24 = C2×C8×3- 1+2φ: C24/C8 → C3 ⊆ Aut C3×C6144(C3xC6).6C24432,211
(C3×C6).7C24 = C9×C3⋊C16φ: C24/C12 → C2 ⊆ Aut C3×C61442(C3xC6).7C24432,29
(C3×C6).8C24 = C18×C3⋊C8φ: C24/C12 → C2 ⊆ Aut C3×C6144(C3xC6).8C24432,126
(C3×C6).9C24 = C32×C3⋊C16φ: C24/C12 → C2 ⊆ Aut C3×C6144(C3xC6).9C24432,229
(C3×C6).10C24 = C3×C24.S3φ: C24/C12 → C2 ⊆ Aut C3×C6144(C3xC6).10C24432,230

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁