Finite Group Databasebeta

C2×#30630137 #44542385

order31904
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C22

Aliases

direct productC2×#30630137

Splittings

SylowC997 ⋊ C2×M16

Subgroups

subgroupG/H
centerC22C2×#16860614
commutatorC2×C997C22×C4
FrattiniC2C22×#16860614
Fitting, prime radicalC23×C997C4
socleC22×C997C2×C4
cosocleDic997C23
hypercenterC23#16860614
hypocenterC997C2×M16
LCSG ▷ C2×C997 ▷ C997
UCSC1 ◁ C22 ◁ C23

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15952

Conjugacy classes & character table

2012 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31904, 230);