Finite Group Databasebeta

C2×#19132841 #25018261

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C29

Aliases

direct productC2×#19132841

Splittings

FittingC22×#95×C43 ⋊ C2
SylowC43 ⋊ C2×#1439

Subgroups

subgroupG/H
centerC25C22×D43
commutatorC23×C43C23×C4
FrattiniC24C23×D43
FittingC22×#95×C43C2
socleC25×C43C23
prime radicalC25×D43C22
cosocleC24×C43C24
hypercenterC22×#95D43
hypocenterC43C2×#1439
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C25 ◁ C22×#95

4926 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1768 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 91232);