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

Extensions 1→N→G→Q→1 with N=C2×C5⋊2C16 and Q=C2

Direct product G=N×Q with N=C2×C5⋊2C16 and Q=C2
dρLabelID
C22×C5⋊2C16320C2^2xC5:2C16320,723

Semidirect products G=N:Q with N=C2×C5⋊2C16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C5⋊2C16)⋊1C2 = D40.5C4φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C161604(C2xC5:2C16):1C2320,55
(C2×C5⋊2C16)⋊2C2 = C20.58D8φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C161604(C2xC5:2C16):2C2320,125
(C2×C5⋊2C16)⋊3C2 = C40.30C23φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C161604(C2xC5:2C16):3C2320,821
(C2×C5⋊2C16)⋊4C2 = C40.5D4φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C16160(C2xC5:2C16):4C2320,49
(C2×C5⋊2C16)⋊5C2 = C10.D16φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C16160(C2xC5:2C16):5C2320,120
(C2×C5⋊2C16)⋊6C2 = C2×C5⋊D16φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C16160(C2xC5:2C16):6C2320,773
(C2×C5⋊2C16)⋊7C2 = C2×D8.D5φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C16160(C2xC5:2C16):7C2320,775
(C2×C5⋊2C16)⋊8C2 = C2×C5⋊SD32φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C16160(C2xC5:2C16):8C2320,805
(C2×C5⋊2C16)⋊9C2 = D10⋊1C16φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C16160(C2xC5:2C16):9C2320,65
(C2×C5⋊2C16)⋊10C2 = C40.91D4φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C16160(C2xC5:2C16):10C2320,107
(C2×C5⋊2C16)⋊11C2 = C2×C80⋊C2φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C16160(C2xC5:2C16):11C2320,527
(C2×C5⋊2C16)⋊12C2 = C2×C20.4C8φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C16160(C2xC5:2C16):12C2320,724
(C2×C5⋊2C16)⋊13C2 = D20.4C8φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C161604(C2xC5:2C16):13C2320,73
(C2×C5⋊2C16)⋊14C2 = C40.92D4φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C161604(C2xC5:2C16):14C2320,119
(C2×C5⋊2C16)⋊15C2 = D20.5C8φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C161604(C2xC5:2C16):15C2320,534
(C2×C5⋊2C16)⋊16C2 = C40.70C23φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C161604(C2xC5:2C16):16C2320,767
(C2×C5⋊2C16)⋊17C2 = D5×C2×C16φ: trivial image160(C2xC5:2C16):17C2320,526

Non-split extensions G=N.Q with N=C2×C5⋊2C16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C5⋊2C16).1C2 = C40.7Q8φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C161604(C2xC5:2C16).1C2320,51
(C2×C5⋊2C16).2C2 = C40.2Q8φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C16320(C2xC5:2C16).2C2320,47
(C2×C5⋊2C16).3C2 = C10.SD32φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C16320(C2xC5:2C16).3C2320,48
(C2×C5⋊2C16).4C2 = C10.Q32φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C16320(C2xC5:2C16).4C2320,50
(C2×C5⋊2C16).5C2 = C40.15D4φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C16320(C2xC5:2C16).5C2320,122
(C2×C5⋊2C16).6C2 = C2×C5⋊Q32φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C16320(C2xC5:2C16).6C2320,807
(C2×C5⋊2C16).7C2 = C40.10C8φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C16320(C2xC5:2C16).7C2320,19
(C2×C5⋊2C16).8C2 = C20⋊3C16φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C16320(C2xC5:2C16).8C2320,20
(C2×C5⋊2C16).9C2 = C40.88D4φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C16320(C2xC5:2C16).9C2320,59
(C2×C5⋊2C16).10C2 = C80⋊17C4φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C16320(C2xC5:2C16).10C2320,60
(C2×C5⋊2C16).11C2 = C2×C5⋊C32φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C16320(C2xC5:2C16).11C2320,214
(C2×C5⋊2C16).12C2 = C5⋊M6(2)φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C161604(C2xC5:2C16).12C2320,215
(C2×C5⋊2C16).13C2 = C4×C5⋊2C16φ: trivial image320(C2xC5:2C16).13C2320,18
(C2×C5⋊2C16).14C2 = C16×Dic5φ: trivial image320(C2xC5:2C16).14C2320,58

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁