Finite Group Databasebeta

C2×#19136177 #25126576

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

Aliases

direct productC2×#19136177

Splittings

SylowC43 ⋊ C2×#2103

Subgroups

subgroupG/H
centerC2×C4#13063311
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC2×C43×#341C2
socleC22×C43#400
prime radicalC24×C43C2×Q8
hypercenterC2×#341D43
hypocenterC43C2×#2103
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#341

662 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1228 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 199547);