Finite Group Databasebeta

C2×(C2×D43)⋊#95 #25017685

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C210

Aliases

direct productC2×(C2×D43)⋊#95

Splittings

FittingC22×#95×C43 ⋊ C2
SylowC43 ⋊ C2×C22⋊#95

Subgroups

subgroupG/H
centerC25C22×D43
commutatorC22×C43C22×C42
FrattiniC24C23×D43
FittingC22×#95×C43C2
socleC25×C43C23
prime radicalC25×D43C22
cosocleC24×C43C24
hypercenterC22×#95D43
hypocenterC43C2×C22⋊#95
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C25 ◁ C22×#95

7630 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1792 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 90656);