Finite Group Databasebeta

C2×#19136154 #25126492

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productC2×#19136154

Splittings

SylowC43 ⋊ C2×#2099

Subgroups

subgroupG/H
centerC24C2×D172
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC2×C43×#336C2
socle, prime radicalC24×C43C2×D4
hypercenterC2×#336D43
hypocenterC43C2×#2099
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C24 ◁ C22×C42 ◁ C2×#336

998 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1744 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 199463);