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

Extensions 1→N→G→Q→1 with N=C5⋊2C16 and Q=C4

Direct product G=N×Q with N=C5⋊2C16 and Q=C4
dρLabelID
C4×C5⋊2C16320C4xC5:2C16320,18

Semidirect products G=N:Q with N=C5⋊2C16 and Q=C4
extensionφ:Q→Out NdρLabelID
C5⋊2C16⋊1C4 = C8.Dic10φ: C4/C1 → C4 ⊆ Out C5⋊2C16804C5:2C16:1C4320,45
C5⋊2C16⋊2C4 = C40.6Q8φ: C4/C1 → C4 ⊆ Out C5⋊2C16804C5:2C16:2C4320,52
C5⋊2C16⋊3C4 = C80⋊4C4φ: C4/C1 → C4 ⊆ Out C5⋊2C16804C5:2C16:3C4320,185
C5⋊2C16⋊4C4 = C80⋊5C4φ: C4/C1 → C4 ⊆ Out C5⋊2C16804C5:2C16:4C4320,186
C5⋊2C16⋊5C4 = C20.45C42φ: C4/C1 → C4 ⊆ Out C5⋊2C16804C5:2C16:5C4320,24
C5⋊2C16⋊6C4 = C80⋊C4φ: C4/C1 → C4 ⊆ Out C5⋊2C16804C5:2C16:6C4320,70
C5⋊2C16⋊7C4 = C16⋊F5φ: C4/C1 → C4 ⊆ Out C5⋊2C16804C5:2C16:7C4320,183
C5⋊2C16⋊8C4 = C16⋊4F5φ: C4/C1 → C4 ⊆ Out C5⋊2C16804C5:2C16:8C4320,184
C5⋊2C16⋊9C4 = C40.2Q8φ: C4/C2 → C2 ⊆ Out C5⋊2C16320C5:2C16:9C4320,47
C5⋊2C16⋊10C4 = C10.SD32φ: C4/C2 → C2 ⊆ Out C5⋊2C16320C5:2C16:10C4320,48
C5⋊2C16⋊11C4 = C40.10C8φ: C4/C2 → C2 ⊆ Out C5⋊2C16320C5:2C16:11C4320,19
C5⋊2C16⋊12C4 = C80⋊17C4φ: C4/C2 → C2 ⊆ Out C5⋊2C16320C5:2C16:12C4320,60
C5⋊2C16⋊13C4 = C80⋊2C4φ: C4/C2 → C2 ⊆ Out C5⋊2C16804C5:2C16:13C4320,187
C5⋊2C16⋊14C4 = C80⋊3C4φ: C4/C2 → C2 ⊆ Out C5⋊2C16804C5:2C16:14C4320,188
C5⋊2C16⋊15C4 = C16×F5φ: C4/C2 → C2 ⊆ Out C5⋊2C16804C5:2C16:15C4320,181
C5⋊2C16⋊16C4 = C16⋊7F5φ: C4/C2 → C2 ⊆ Out C5⋊2C16804C5:2C16:16C4320,182
C5⋊2C16⋊17C4 = C16×Dic5φ: trivial image320C5:2C16:17C4320,58

Non-split extensions G=N.Q with N=C5⋊2C16 and Q=C4
extensionφ:Q→Out NdρLabelID
C5⋊2C16.1C4 = C40.7Q8φ: C4/C2 → C2 ⊆ Out C5⋊2C161604C5:2C16.1C4320,51
C5⋊2C16.2C4 = C32⋊D5φ: C4/C2 → C2 ⊆ Out C5⋊2C161602C5:2C16.2C4320,5
C5⋊2C16.3C4 = C16.F5φ: C4/C2 → C2 ⊆ Out C5⋊2C161604C5:2C16.3C4320,189
C5⋊2C16.4C4 = C80.2C4φ: C4/C2 → C2 ⊆ Out C5⋊2C161604C5:2C16.4C4320,190
C5⋊2C16.5C4 = C2×C5⋊C32φ: C4/C2 → C2 ⊆ Out C5⋊2C16320C5:2C16.5C4320,214
C5⋊2C16.6C4 = C5⋊M6(2)φ: C4/C2 → C2 ⊆ Out C5⋊2C161604C5:2C16.6C4320,215
C5⋊2C16.7C4 = D5×C32φ: trivial image1602C5:2C16.7C4320,4

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁