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

Extensions 1→N→G→Q→1 with N=C15×C4⋊C4 and Q=C2

Direct product G=N×Q with N=C15×C4⋊C4 and Q=C2
dρLabelID
C4⋊C4×C30480C4:C4xC30480,921

Semidirect products G=N:Q with N=C15×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C15×C4⋊C4)⋊1C2 = D60⋊9C4φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):1C2480,169
(C15×C4⋊C4)⋊2C2 = C4⋊C4×D15φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):2C2480,856
(C15×C4⋊C4)⋊3C2 = C4⋊C4⋊7D15φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):3C2480,857
(C15×C4⋊C4)⋊4C2 = D60⋊11C4φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):4C2480,858
(C15×C4⋊C4)⋊5C2 = D30.29D4φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):5C2480,859
(C15×C4⋊C4)⋊6C2 = C4⋊D60φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):6C2480,860
(C15×C4⋊C4)⋊7C2 = D30⋊5Q8φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):7C2480,861
(C15×C4⋊C4)⋊8C2 = D30⋊6Q8φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):8C2480,862
(C15×C4⋊C4)⋊9C2 = C4⋊C4⋊D15φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):9C2480,863
(C15×C4⋊C4)⋊10C2 = C3×D20⋊6C4φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):10C2480,87
(C15×C4⋊C4)⋊11C2 = C3×D5×C4⋊C4φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):11C2480,684
(C15×C4⋊C4)⋊12C2 = C3×C4⋊C4⋊7D5φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):12C2480,685
(C15×C4⋊C4)⋊13C2 = C3×D20⋊8C4φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):13C2480,686
(C15×C4⋊C4)⋊14C2 = C3×D10.13D4φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):14C2480,687
(C15×C4⋊C4)⋊15C2 = C3×C4⋊D20φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):15C2480,688
(C15×C4⋊C4)⋊16C2 = C3×D10⋊Q8φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):16C2480,689
(C15×C4⋊C4)⋊17C2 = C3×D10⋊2Q8φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):17C2480,690
(C15×C4⋊C4)⋊18C2 = C3×C4⋊C4⋊D5φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):18C2480,691
(C15×C4⋊C4)⋊19C2 = C5×C6.D8φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):19C2480,128
(C15×C4⋊C4)⋊20C2 = C5×S3×C4⋊C4φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):20C2480,770
(C15×C4⋊C4)⋊21C2 = C5×C4⋊C4⋊7S3φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):21C2480,771
(C15×C4⋊C4)⋊22C2 = C5×Dic3⋊5D4φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):22C2480,772
(C15×C4⋊C4)⋊23C2 = C5×D6.D4φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):23C2480,773
(C15×C4⋊C4)⋊24C2 = C5×C12⋊D4φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):24C2480,774
(C15×C4⋊C4)⋊25C2 = C5×D6⋊Q8φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):25C2480,775
(C15×C4⋊C4)⋊26C2 = C5×C4.D12φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):26C2480,776
(C15×C4⋊C4)⋊27C2 = C5×C4⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):27C2480,777
(C15×C4⋊C4)⋊28C2 = C15×D4⋊C4φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):28C2480,205
(C15×C4⋊C4)⋊29C2 = C15×C4⋊D4φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):29C2480,926
(C15×C4⋊C4)⋊30C2 = C15×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):30C2480,927
(C15×C4⋊C4)⋊31C2 = C15×C22.D4φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):31C2480,928
(C15×C4⋊C4)⋊32C2 = C15×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4240(C15xC4:C4):32C2480,931
(C15×C4⋊C4)⋊33C2 = C15×C42⋊C2φ: trivial image240(C15xC4:C4):33C2480,922
(C15×C4⋊C4)⋊34C2 = D4×C60φ: trivial image240(C15xC4:C4):34C2480,923

Non-split extensions G=N.Q with N=C15×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C15×C4⋊C4).1C2 = C60.1Q8φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).1C2480,167
(C15×C4⋊C4).2C2 = C60.2Q8φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).2C2480,168
(C15×C4⋊C4).3C2 = Dic30⋊9C4φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).3C2480,170
(C15×C4⋊C4).4C2 = Dic15⋊10Q8φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).4C2480,852
(C15×C4⋊C4).5C2 = C4⋊Dic30φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).5C2480,853
(C15×C4⋊C4).6C2 = Dic15.3Q8φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).6C2480,854
(C15×C4⋊C4).7C2 = C4.Dic30φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).7C2480,855
(C15×C4⋊C4).8C2 = C3×C10.D8φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).8C2480,85
(C15×C4⋊C4).9C2 = C3×C20.Q8φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).9C2480,86
(C15×C4⋊C4).10C2 = C3×C10.Q16φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).10C2480,88
(C15×C4⋊C4).11C2 = C3×Dic5⋊3Q8φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).11C2480,680
(C15×C4⋊C4).12C2 = C3×C20⋊Q8φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).12C2480,681
(C15×C4⋊C4).13C2 = C3×Dic5.Q8φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).13C2480,682
(C15×C4⋊C4).14C2 = C3×C4.Dic10φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).14C2480,683
(C15×C4⋊C4).15C2 = C5×C6.Q16φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).15C2480,126
(C15×C4⋊C4).16C2 = C5×C12.Q8φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).16C2480,127
(C15×C4⋊C4).17C2 = C5×C6.SD16φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).17C2480,129
(C15×C4⋊C4).18C2 = C5×Dic6⋊C4φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).18C2480,766
(C15×C4⋊C4).19C2 = C5×C12⋊Q8φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).19C2480,767
(C15×C4⋊C4).20C2 = C5×Dic3.Q8φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).20C2480,768
(C15×C4⋊C4).21C2 = C5×C4.Dic6φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).21C2480,769
(C15×C4⋊C4).22C2 = C15×Q8⋊C4φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).22C2480,206
(C15×C4⋊C4).23C2 = C15×C4.Q8φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).23C2480,209
(C15×C4⋊C4).24C2 = C15×C2.D8φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).24C2480,210
(C15×C4⋊C4).25C2 = C15×C42.C2φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).25C2480,930
(C15×C4⋊C4).26C2 = C15×C4⋊Q8φ: C2/C1 → C2 ⊆ Out C15×C4⋊C4480(C15xC4:C4).26C2480,933
(C15×C4⋊C4).27C2 = Q8×C60φ: trivial image480(C15xC4:C4).27C2480,924

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁