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

Extensions 1→N→G→Q→1 with N=C4×C5⋊C8 and Q=C2

Direct product G=N×Q with N=C4×C5⋊C8 and Q=C2
dρLabelID
C2×C4×C5⋊C8320C2xC4xC5:C8320,1084

Semidirect products G=N:Q with N=C4×C5⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×C5⋊C8)⋊1C2 = D20⋊C8φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8160(C4xC5:C8):1C2320,209
(C4×C5⋊C8)⋊2C2 = Dic5.23D8φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8160(C4xC5:C8):2C2320,262
(C4×C5⋊C8)⋊3C2 = D20⋊2C8φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8160(C4xC5:C8):3C2320,1040
(C4×C5⋊C8)⋊4C2 = C20⋊M4(2)φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8160(C4xC5:C8):4C2320,1043
(C4×C5⋊C8)⋊5C2 = D4×C5⋊C8φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8160(C4xC5:C8):5C2320,1110
(C4×C5⋊C8)⋊6C2 = C20⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8160(C4xC5:C8):6C2320,1112
(C4×C5⋊C8)⋊7C2 = C4×C4.F5φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8160(C4xC5:C8):7C2320,1015
(C4×C5⋊C8)⋊8C2 = C42.6F5φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8160(C4xC5:C8):8C2320,1016
(C4×C5⋊C8)⋊9C2 = C42.12F5φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8160(C4xC5:C8):9C2320,1018
(C4×C5⋊C8)⋊10C2 = Dic5.C42φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8160(C4xC5:C8):10C2320,1029
(C4×C5⋊C8)⋊11C2 = C5⋊C8⋊8D4φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8160(C4xC5:C8):11C2320,1030
(C4×C5⋊C8)⋊12C2 = Dic5⋊M4(2)φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8160(C4xC5:C8):12C2320,1033
(C4×C5⋊C8)⋊13C2 = C23.(C2×F5)φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8160(C4xC5:C8):13C2320,1035
(C4×C5⋊C8)⋊14C2 = D10.C42φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8160(C4xC5:C8):14C2320,1039
(C4×C5⋊C8)⋊15C2 = C4⋊C4.7F5φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8160(C4xC5:C8):15C2320,1044
(C4×C5⋊C8)⋊16C2 = Dic5.12M4(2)φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8160(C4xC5:C8):16C2320,1086
(C4×C5⋊C8)⋊17C2 = C4×C22.F5φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8160(C4xC5:C8):17C2320,1088
(C4×C5⋊C8)⋊18C2 = C20.34M4(2)φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8160(C4xC5:C8):18C2320,1092
(C4×C5⋊C8)⋊19C2 = C4×D5⋊C8φ: trivial image160(C4xC5:C8):19C2320,1013

Non-split extensions G=N.Q with N=C4×C5⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×C5⋊C8).1C2 = Dic10⋊1C8φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8320(C4xC5:C8).1C2320,210
(C4×C5⋊C8).2C2 = Dic5.12Q16φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8320(C4xC5:C8).2C2320,268
(C4×C5⋊C8).3C2 = C20.M4(2)φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8320(C4xC5:C8).3C2320,1047
(C4×C5⋊C8).4C2 = Q8×C5⋊C8φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8320(C4xC5:C8).4C2320,1124
(C4×C5⋊C8).5C2 = C20.6M4(2)φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8320(C4xC5:C8).5C2320,1126
(C4×C5⋊C8).6C2 = C40⋊C8φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8320(C4xC5:C8).6C2320,217
(C4×C5⋊C8).7C2 = C20.31M4(2)φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8320(C4xC5:C8).7C2320,218
(C4×C5⋊C8).8C2 = Dic10⋊C8φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8320(C4xC5:C8).8C2320,1041
(C4×C5⋊C8).9C2 = Dic5.M4(2)φ: C2/C1 → C2 ⊆ Out C4×C5⋊C8320(C4xC5:C8).9C2320,1045
(C4×C5⋊C8).10C2 = C8×C5⋊C8φ: trivial image320(C4xC5:C8).10C2320,216

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁