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

Extensions 1→N→G→Q→1 with N=C2×D5⋊C8 and Q=C2

Direct product G=N×Q with N=C2×D5⋊C8 and Q=C2
dρLabelID
C22×D5⋊C8160C2^2xD5:C8320,1587

Semidirect products G=N:Q with N=C2×D5⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×D5⋊C8)⋊1C2 = C2×D20⋊C4φ: C2/C1 → C2 ⊆ Out C2×D5⋊C880(C2xD5:C8):1C2320,1104
(C2×D5⋊C8)⋊2C2 = (C2×D4).8F5φ: C2/C1 → C2 ⊆ Out C2×D5⋊C8160(C2xD5:C8):2C2320,1114
(C2×D5⋊C8)⋊3C2 = (C2×Q8).5F5φ: C2/C1 → C2 ⊆ Out C2×D5⋊C8160(C2xD5:C8):3C2320,1125
(C2×D5⋊C8)⋊4C2 = C4○D20⋊C4φ: C2/C1 → C2 ⊆ Out C2×D5⋊C8808(C2xD5:C8):4C2320,1132
(C2×D5⋊C8)⋊5C2 = C2×D4.F5φ: C2/C1 → C2 ⊆ Out C2×D5⋊C8160(C2xD5:C8):5C2320,1593
(C2×D5⋊C8)⋊6C2 = C2×Q8.F5φ: C2/C1 → C2 ⊆ Out C2×D5⋊C8160(C2xD5:C8):6C2320,1597
(C2×D5⋊C8)⋊7C2 = Dic5.21C24φ: C2/C1 → C2 ⊆ Out C2×D5⋊C8808(C2xD5:C8):7C2320,1601
(C2×D5⋊C8)⋊8C2 = C5⋊C8⋊8D4φ: C2/C1 → C2 ⊆ Out C2×D5⋊C8160(C2xD5:C8):8C2320,1030
(C2×D5⋊C8)⋊9C2 = D10⋊M4(2)φ: C2/C1 → C2 ⊆ Out C2×D5⋊C8160(C2xD5:C8):9C2320,1032
(C2×D5⋊C8)⋊10C2 = D20⋊2C8φ: C2/C1 → C2 ⊆ Out C2×D5⋊C8160(C2xD5:C8):10C2320,1040
(C2×D5⋊C8)⋊11C2 = D10⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C2×D5⋊C8160(C2xD5:C8):11C2320,1042
(C2×D5⋊C8)⋊12C2 = D10.11M4(2)φ: C2/C1 → C2 ⊆ Out C2×D5⋊C880(C2xD5:C8):12C2320,1091
(C2×D5⋊C8)⋊13C2 = C2×D5⋊M4(2)φ: C2/C1 → C2 ⊆ Out C2×D5⋊C880(C2xD5:C8):13C2320,1589

Non-split extensions G=N.Q with N=C2×D5⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×D5⋊C8).1C2 = D10.18D8φ: C2/C1 → C2 ⊆ Out C2×D5⋊C880(C2xD5:C8).1C2320,212
(C2×D5⋊C8).2C2 = M4(2).F5φ: C2/C1 → C2 ⊆ Out C2×D5⋊C8808(C2xD5:C8).2C2320,239
(C2×D5⋊C8).3C2 = D10.C42φ: C2/C1 → C2 ⊆ Out C2×D5⋊C8160(C2xD5:C8).3C2320,1039
(C2×D5⋊C8).4C2 = C4⋊C4.9F5φ: C2/C1 → C2 ⊆ Out C2×D5⋊C8160(C2xD5:C8).4C2320,1046
(C2×D5⋊C8).5C2 = M4(2)⋊5F5φ: C2/C1 → C2 ⊆ Out C2×D5⋊C8808(C2xD5:C8).5C2320,1066
(C2×D5⋊C8).6C2 = C2×Q8⋊F5φ: C2/C1 → C2 ⊆ Out C2×D5⋊C880(C2xD5:C8).6C2320,1119
(C2×D5⋊C8).7C2 = D10.3M4(2)φ: C2/C1 → C2 ⊆ Out C2×D5⋊C880(C2xD5:C8).7C2320,230
(C2×D5⋊C8).8C2 = C42.5F5φ: C2/C1 → C2 ⊆ Out C2×D5⋊C8160(C2xD5:C8).8C2320,1014
(C2×D5⋊C8).9C2 = C42.11F5φ: C2/C1 → C2 ⊆ Out C2×D5⋊C8160(C2xD5:C8).9C2320,1017
(C2×D5⋊C8).10C2 = C2×C8⋊F5φ: C2/C1 → C2 ⊆ Out C2×D5⋊C880(C2xD5:C8).10C2320,1055
(C2×D5⋊C8).11C2 = C4×D5⋊C8φ: trivial image160(C2xD5:C8).11C2320,1013
(C2×D5⋊C8).12C2 = C2×C8×F5φ: trivial image80(C2xD5:C8).12C2320,1054

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁