Finite Group Databasebeta

C2×#19146959 #25975028

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productC2×#19146959

Splittings

FittingC22×#107×C43 ⋊ C2
SylowC43 ⋊ C2×#3336

Subgroups

subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC22×#107×C43C2
socleC23×C43C22×D4
prime radicalC22×C22⋊D43D4
hypercenterC22×#107D43
hypocenterC43C2×#3336
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#107

1866 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1246 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1047999);