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

Extensions 1→N→G→Q→1 with N=C2×C15⋊3C8 and Q=C2

Direct product G=N×Q with N=C2×C15⋊3C8 and Q=C2
dρLabelID
C22×C15⋊3C8480C2^2xC15:3C8480,885

Semidirect products G=N:Q with N=C2×C15⋊3C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C15⋊3C8)⋊1C2 = D60⋊9C4φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8240(C2xC15:3C8):1C2480,169
(C2×C15⋊3C8)⋊2C2 = D4⋊Dic15φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8240(C2xC15:3C8):2C2480,192
(C2×C15⋊3C8)⋊3C2 = D60.3C4φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C82404(C2xC15:3C8):3C2480,872
(C2×C15⋊3C8)⋊4C2 = C2×D4⋊D15φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8240(C2xC15:3C8):4C2480,896
(C2×C15⋊3C8)⋊5C2 = C2×D4.D15φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8240(C2xC15:3C8):5C2480,898
(C2×C15⋊3C8)⋊6C2 = C2×Q8⋊2D15φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8240(C2xC15:3C8):6C2480,906
(C2×C15⋊3C8)⋊7C2 = D4.Dic15φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C82404(C2xC15:3C8):7C2480,913
(C2×C15⋊3C8)⋊8C2 = D4.8D30φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C82404(C2xC15:3C8):8C2480,915
(C2×C15⋊3C8)⋊9C2 = D30⋊3C8φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8240(C2xC15:3C8):9C2480,180
(C2×C15⋊3C8)⋊10C2 = C60.212D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8240(C2xC15:3C8):10C2480,190
(C2×C15⋊3C8)⋊11C2 = C2×C40⋊S3φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8240(C2xC15:3C8):11C2480,865
(C2×C15⋊3C8)⋊12C2 = C2×C60.7C4φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8240(C2xC15:3C8):12C2480,886
(C2×C15⋊3C8)⋊13C2 = C30.D8φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8240(C2xC15:3C8):13C2480,40
(C2×C15⋊3C8)⋊14C2 = D12⋊Dic5φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8240(C2xC15:3C8):14C2480,42
(C2×C15⋊3C8)⋊15C2 = C2×C15⋊D8φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8240(C2xC15:3C8):15C2480,372
(C2×C15⋊3C8)⋊16C2 = C2×C30.D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8240(C2xC15:3C8):16C2480,382
(C2×C15⋊3C8)⋊17C2 = C2×C20.D6φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8240(C2xC15:3C8):17C2480,384
(C2×C15⋊3C8)⋊18C2 = D20.2Dic3φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C82404(C2xC15:3C8):18C2480,360
(C2×C15⋊3C8)⋊19C2 = D12.Dic5φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C82404(C2xC15:3C8):19C2480,364
(C2×C15⋊3C8)⋊20C2 = D20.34D6φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C82404(C2xC15:3C8):20C2480,373
(C2×C15⋊3C8)⋊21C2 = C60.93D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8240(C2xC15:3C8):21C2480,31
(C2×C15⋊3C8)⋊22C2 = C60.94D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8240(C2xC15:3C8):22C2480,32
(C2×C15⋊3C8)⋊23C2 = C2×D5×C3⋊C8φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8240(C2xC15:3C8):23C2480,357
(C2×C15⋊3C8)⋊24C2 = C2×S3×C5⋊2C8φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8240(C2xC15:3C8):24C2480,361
(C2×C15⋊3C8)⋊25C2 = C2×C20.32D6φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8240(C2xC15:3C8):25C2480,369
(C2×C15⋊3C8)⋊26C2 = C2×D6.Dic5φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8240(C2xC15:3C8):26C2480,370
(C2×C15⋊3C8)⋊27C2 = C2×C8×D15φ: trivial image240(C2xC15:3C8):27C2480,864

Non-split extensions G=N.Q with N=C2×C15⋊3C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C15⋊3C8).1C2 = C60.1Q8φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8480(C2xC15:3C8).1C2480,167
(C2×C15⋊3C8).2C2 = C60.2Q8φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8480(C2xC15:3C8).2C2480,168
(C2×C15⋊3C8).3C2 = Dic30⋊9C4φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8480(C2xC15:3C8).3C2480,170
(C2×C15⋊3C8).4C2 = C60.210D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C82404(C2xC15:3C8).4C2480,182
(C2×C15⋊3C8).5C2 = Q8⋊2Dic15φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8480(C2xC15:3C8).5C2480,195
(C2×C15⋊3C8).6C2 = C2×C15⋊7Q16φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8480(C2xC15:3C8).6C2480,908
(C2×C15⋊3C8).7C2 = C42.D15φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8480(C2xC15:3C8).7C2480,163
(C2×C15⋊3C8).8C2 = C60⋊5C8φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8480(C2xC15:3C8).8C2480,164
(C2×C15⋊3C8).9C2 = C60.26Q8φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8480(C2xC15:3C8).9C2480,174
(C2×C15⋊3C8).10C2 = C120⋊13C4φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8480(C2xC15:3C8).10C2480,175
(C2×C15⋊3C8).11C2 = C30.Q16φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8480(C2xC15:3C8).11C2480,46
(C2×C15⋊3C8).12C2 = Dic6⋊Dic5φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8480(C2xC15:3C8).12C2480,48
(C2×C15⋊3C8).13C2 = C30.SD16φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8480(C2xC15:3C8).13C2480,62
(C2×C15⋊3C8).14C2 = C30.20D8φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8480(C2xC15:3C8).14C2480,65
(C2×C15⋊3C8).15C2 = C2×C15⋊Q16φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8480(C2xC15:3C8).15C2480,394
(C2×C15⋊3C8).16C2 = C60.D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C82404(C2xC15:3C8).16C2480,68
(C2×C15⋊3C8).17C2 = Dic5×C3⋊C8φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8480(C2xC15:3C8).17C2480,25
(C2×C15⋊3C8).18C2 = Dic3×C5⋊2C8φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8480(C2xC15:3C8).18C2480,26
(C2×C15⋊3C8).19C2 = C30.21C42φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8480(C2xC15:3C8).19C2480,28
(C2×C15⋊3C8).20C2 = C30.22C42φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8480(C2xC15:3C8).20C2480,29
(C2×C15⋊3C8).21C2 = C60.13Q8φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8480(C2xC15:3C8).21C2480,58
(C2×C15⋊3C8).22C2 = C60.15Q8φ: C2/C1 → C2 ⊆ Out C2×C15⋊3C8480(C2xC15:3C8).22C2480,60
(C2×C15⋊3C8).23C2 = C4×C15⋊3C8φ: trivial image480(C2xC15:3C8).23C2480,162
(C2×C15⋊3C8).24C2 = C8×Dic15φ: trivial image480(C2xC15:3C8).24C2480,173

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁