Finite Group Databasebeta

C2×#19152395 #26034996

order11392
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC2×#19152395

Splittings

FittingC2×#135×C89 ⋊ C2
SylowC89 ⋊ C2×#575

Subgroups

subgroupG/H
centerC2×C4D4×D89
commutator, cosocleC4×C89C25
FrattiniC4C24×D89
FittingC2×#135×C89C2
socleC22×C89C22×D4
hypercenterC2×#135D89
hypocenterC89C2×#575
LCSG ▷ C4×C89 ▷ C2×C89 ▷ C89
UCSC1 ◁ C2×C4 ◁ C22×C4 ◁ C2×#135

1484 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1276 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#36470102, #36470105, #36470107, …
maximal normal subgroup of#36470102, #36470105, #36470107, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11392, 19254);