Finite Group Databasebeta

C2×#19137743 #25259184

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct productC2×#19137743

Splittings

SylowC43 ⋊ C2×#2376

Subgroups

subgroupG/H
centerC24C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC22×#123×C43C2
socleC24×C43C24
prime radicalC23×D4×C43C22
cosocleC23×C43C25
hypercenterC22×#123D43
hypocenterC43C2×#2376
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ C22×#123

2870 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1252 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 332155);