Character Table info for 24.A8
-
Name:
-
2^4.a8
-
Group order:
-
322560 = 210 ⋅ 32 ⋅ 5 ⋅ 7
-
Number of classes:
-
25
-
InfoText value:
-
origin: CAS library,
maximal subgroup of Co3,
non-split extension
computed using ordinary characters of the inertia group 2^3:gl(3,2)
(there must be a degree-15-character extended from 2^4 to restrict
the degree-23-character of c3 properly), the irreducible character
of degree 23 of c3 and Clifford matrices which differ from those
in split-case by representative orders and, for the 3x3-Matrices,
some signs.
tests: 1.o.r., pow[2,3,5,7]
-
Atlas representations:
-
8 available
-
Group constructions in GAP:
-
AtlasGroup( "2^4.A8" ),
AtlasSubgroup( "Co3", 9 ),
PerfectGroup( 322560, 5 ),
TransitiveGroup( 30, 1718 )
-
Stored class fusions from this table:
-
A8,
Co3