Finite Group Databasebeta

C2×#19132818 #25017687

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

Aliases

direct productC2×#19132818

Splittings

SylowC43 ⋊ C2×C22⋊#95

Subgroups

subgroupG/H
centerC25C22×D43
commutatorC22×C43C22×C42
FrattiniC24C23×D43
FittingC25×C4×C43C2
socleC25×C43C23
prime radicalC26×C43C22
cosocleC24×C43C24
hypercenterC25×C4D43
hypocenterC43C2×C22⋊#95
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C25 ◁ C25×C4

7630 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2800 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 90658);