Finite Group Databasebeta

C2×#26044248 #37554702

order23488
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24×C4

Aliases

direct productC2×#26044248

Splittings

SylowC367 ⋊ C2×#124

Subgroups

subgroupG/H
centerC23C22×D367
commutator, cosocleC22×C367C24
FrattiniC22C23×D367
Fitting, prime radicalC22×D4×C367C2
socleC23×C367C23
hypercenterC22×D4D367
hypocenterC367C2×#124
LCSG ▷ C22×C367 ▷ C367
UCSC1 ◁ C23 ◁ C22×D4

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 11744

Conjugacy classes & character table

3688 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23488, 1065);